diff --git "a/data/dm_maths/full_data/1935_11255.jsonl" "b/data/dm_maths/full_data/1935_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1935_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let h(x) = -35*x**2 + x + 110. Let f(j) = -18*j**2 + j + 55. Let q(u) = 5*f(u) - 3*h(u). Is q(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 0.3, -1\/6, 1 in decreasing order.\nAnswer: 1, 0.3, -0.07, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 2*k. Solve k = -6*g + 3*g - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69 or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + 18. What is the third derivative of -64*g**2 + d*g**2 + 28*g**2 - 20*g**6 wrt g?\nAnswer: -2400*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + r - 4*r)*(4*r + r - 2*r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2. Let a be (-2 + 0)*-177 + -3 + 3. Let i(q) = 354 - a + 12*q. Calculate l(i(f)).\nAnswer: 432*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3\/7 + 13974*f**2\/7 + 746136*f\/7 + 732160\/7 = 0 for f.\nAnswer: -52, -1, 7040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(588))\/(sqrt(216)*5) + 1*(sqrt(96)\/(sqrt(12) - (sqrt(48) + sqrt(12))))\/(sqrt(4)*-2*-1))**2.\nAnswer: 169\/1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6838006.\nAnswer: 2, 7, 109, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*p**2 - 7*p**4 + 11*p**2 + (-9*p**2 - 3*p**2 - 2*p**2)*(0*p**2 - 3*p**2 + p**2) + p**4 - p**4 + p**4.\nAnswer: 22*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 + 60*b - 4327. What is u(-64)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 11. Let m be b(0). Let u = m + -5. Let f(k) = k - 8. Calculate f(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(143)*-2 + sqrt(143))\/(sqrt(176)*-6)*6)**2.\nAnswer: 117\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(273\/36))\/(22\/(-7)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4375 - 3580. What is the highest common divisor of f and 90?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-12))\/((-4)\/(-54)). What is the units digit of (k\/2)\/((-9)\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*i**3 + 11*i**3 - 37*i**3.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*1)**2 - (sqrt(12) + -5).\nAnswer: -2*sqrt(3) + 437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 569 less than 568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**4\/12 + 5213*z**2. Let b(t) = -6301*t. Give r(b(x)).\nAnswer: -12602*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 12*z + 365. Suppose -70*y - 12 = -z*y. Suppose 104 = y*c - 260. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30303 - 2003120331?\nAnswer: -2003211300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2662217841 to the nearest integer?\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 2\/1193 (c) -61.6 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 minus -0.028048?\nAnswer: 0.188048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**5 + 9*c**4 + 23*c**3 - 153*c**2 + 135*c + 108 = 0.\nAnswer: -4, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72253?\nAnswer: 72253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**2\/x)\/x)\/x*x)**(2\/27))**(-4\/13)\/((x\/(x\/x**(-1))*x**(-2)\/x)\/((x*x**(2\/11))\/(x\/((x*x**(-6)*x)\/x)))) assuming x is positive.\nAnswer: x**(-3247\/3861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 minus 67.4805?\nAnswer: -67.6205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116998 and 51667.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 166807.100047 - 166807. Let d = 1.9 + -2. Let j = d + p. Round j to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(6\/(-3)))\/((-1344)\/(-128))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 21*v + 74. Let o be k(-24). Suppose -4*z**o - z**2 + 102*z - 12*z - 120 + 35 = 0. Calculate z.\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 15 = 0, 4*h + 6250*u - 5946*u + 1680 = 0 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 49. Let h(r) be the first derivative of -2\/21*r**3 - 1\/7*r**g + 2 + 0*r. Solve h(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 491 = -5*f + 81. Let w = f + 119. List the prime factors of w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: c8bca (base 15) to base 3\nAnswer: 1012101000201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from jddoooood.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 t when three letters picked without replacement from sstttt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4)*j*j)**(3\/29)\/(j*(j\/((j\/(j\/(j\/(j*j**(2\/11)))))\/j*j))\/j*j\/(j\/j**5)) assuming j is positive.\nAnswer: j**(-7657\/1276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 309 - 216. Suppose -4*d + 236 = 3*v, -3*d + 84 = v - k. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*k + 28*k = -78*k + 3213 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*t = 953 + 3056 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118873, 118898, 118937, 118990?\nAnswer: 119057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -3, -4 in descending order.\nAnswer: 5, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 18055 = -25*m. Suppose 24*z - 8911 - m = 0. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/5, -0.8 in decreasing order.\nAnswer: 2, -2\/5, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*c - 28, 3 = -3*c + 3*m - 0. Let z = c + -1. Suppose f = 4*w + 93, -z*f - w + 344 = -0*w. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1897, 15077, 50795, 120313, 234893?\n\"Answer: 1877*t**3 + 7*t**2 + 20*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from iihhvvhiiyj.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r = -7*r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/(-44) - (-14)\/(-120). What is the nearest to 1 in 0.3, c, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*i = 14, -4*t + 0*i - 26 = 2*i. What is the least common multiple of (-2)\/(t\/99*3) and 3 + (2 + -2 - -5)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 227868286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2994, -5986, -8972, -11952, -14926, -17894?\n\"Answer: 3*l**2 - 3001*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6 = -2*a. Let k(z) = z**3 + 6*z**2 - 2*z - 4. List the prime factors of k(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13022\/136 - (-9)\/18*(-6)\/4\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.061 times -9?\nAnswer: -0.549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 16045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1849416842 to the power of 1\/3, to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 28718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1171521 is divided by 6070?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(((t*t**(1\/14)*t)\/t)\/t)*t**(-3)*(t*t**(-23))\/t**(5\/6) assuming t is positive.\nAnswer: t**(-502\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 87.41307 decades?\nAnswer: 8.741307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 164178361 at most as big as 164178362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 56 = 4*i, 16*i - 3*d - 102 = 11*i. Solve 7*m + i = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 + -1.3. Let v = -0.1 + g. Suppose f + f = 2*l - 4, 12 = -4*f. What is the nearest to v in l, 4, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -145720 to the nearest 1000.\nAnswer: -146000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -457*x**2 - x. Let y(t) = 3*t. Determine y(g(h)).\nAnswer: -1371*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.54 - 6.5. Let x = 1.26 + f. Which is the third biggest value? (a) x (b) 5\/6 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(45\/(4\/(512\/(-36))*8\/(-3)))?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -339*s - 296*s + 22*s - 23*s as y*s + t and give y.\nAnswer: -636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**2 - 9*w + 4. Let k(i) = i**2 - i. Let h(y) = -4*k(y) + m(y). Let s(n) = 2*n - 6. Let j be s(6). Calculate h(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23.14 - 23. Let u = x + -0.54. What is the third smallest value in 2, u, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, v: 2, q: 2, z: 2, p: 2, l: 4}. What is prob of sequence qzl?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 9 = -14, -3*i = -4*t + 7. List the prime factors of (11 + -10)\/(0 - i\/395).\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3106650 (base 8) to base 15\nAnswer: 113b66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19321290 is divided by 16904.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z**(-7)*z))\/z)\/((z*z**(-4)*z)\/z)*(z**(-1\/15)\/z)\/(z*z*z**(-7\/3)\/z*z) assuming z is positive.\nAnswer: z**(139\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26436 is divided by 902?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*f + 6*f + 5*f)*(1 - 4 + 1)*(f**2 + 3 - 3) to t*f**3 + p*f + b + d*f**2 and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 1729893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 11*w. Let i be f(3). Let x be 6\/i + 60\/33. What is the units digit of -1*21*x\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + 1.9. What is the second smallest value in 1\/10, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4282, -17061, -38352, -68173, -106542, -153477, -208996?\nAnswer: -273117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 0 + 13\/56*i**8 - 5*i + 0*i**3 + 0*i**2 - 5\/12*i**4 + 0*i**7 + 0*i**5 + 0*i**6. Find the third derivative of p(w) wrt w.\nAnswer: 1560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 3:28 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k**2 + 8*k + 2. Let d(p) = -p**2 + p. Let b(r) = -a(r) + 4*d(r). Let f = -8 + 13. Calculate b(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.68 - 1.48. Let g = i - 12. Let h = g + -2.62. Round h to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -65, 2 in descending order.\nAnswer: 4, 2, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**5 + 264*i**3 + 1798*i**2 + 1017*i - 3078 = 0 for i.\nAnswer: -9, -2, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -333367, -666741, -1000109, -1333465, -1666803, -2000117, -2333401?\n\"Answer: x**3 - 3*x**2 - 333372*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*d**3*g*p + 11040*d**3*g - 32*d**3 - 2*d**2*g*p - 14*d**2*p - 17*d*g*p - 2*d*g + 6*g*p + 2*g - 135 wrt d.\nAnswer: 60*g*p + 66240*g - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*i = -65, 2*b + 56 = 2*i + 2*i. Let k = b + 47. Suppose 4*a - k - 179 = 0. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.5, 2, -2\/25, 1\/4?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -115*i + 1360. Determine p(12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -8*l**2 + l + 3. Let m(b) = 2 - 4 - 4*b**2 + 11*b**2. Let c(x) = 6*i(x) + 7*m(x). Suppose 0*j - 8 = f + j, 3*f - 8 = 5*j. Calculate c(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c\/(c\/c**(-18)*c*c)*c*c))*c\/c**14 assuming c is positive.\nAnswer: c**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*m, m = -a - 4*m - 37. Let b = -1 - a. Solve -4*f + 9 + b = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.220791714 rounded to 2 dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - a. Let o(l) = -10*l**3 - 3*l**2 + 6*l. Determine -o(c) - 6*u(c).\nAnswer: 4*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29695759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 9*x + 9 + 8.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**2 - 1 - 2*n**2 + 0*n**2 + 3*n**2 with respect to n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6302 or 2\/47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 819754, 1639507, 2459260?\nAnswer: 3279013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 5*d**4\/8 - 11*d**3\/3 + 21*d**2\/4 + 10656. Factor x(k).\nAnswer: k*(k - 3)*(5*k - 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1761646 is divided by 1947?\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, 1, 5 in ascending order.\nAnswer: 1, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (1282\/120 - 1\/(-4))*1129\/(-2258)?\nAnswer: 22\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -445*64\/60*-3. Let m = z - 11365\/8. What is the common denominator of 145\/12 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5*o**(-1\/5))**(-38)\/((o**0)**(-7\/6))**(-26) assuming o is positive.\nAnswer: o**(-912\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 63000 divided by 384?\nAnswer: 2625\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(28)\/sqrt(4)*1.\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**1\/(m*m**(-5\/4)\/m*m**(4\/3)) assuming m is positive.\nAnswer: m**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 622 + -5?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 5:55 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 4:02 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = -2*m + 55. Solve 5 = -m*d - 0*d - 5*w, 0 = 4*d - 2*w + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxoxawxyyapoyy. Give prob of picking 1 a and 1 x.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 10*v**3 + v**2 - v - 1. Let o = 3180 - 19121\/6. Calculate the common denominator of o and x(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -23?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + -70. Let m = c - -81.0043. Round m to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 7*t**2 + 6*t + 5. Let j be u(8). Let s be ((-1)\/j)\/((-1)\/(-2)). Sort 0.3, s, -3.\nAnswer: -3, s, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165, -306, -447, -588, -729?\nAnswer: -870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -485 - 31. Suppose 2*g - 34 = 3*l - l, 2*l = -4*g + b. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*g*t**2*x - 2261*g*t**2 - 3*g*t*x - 598*g*x - 4*t**2*x - t**2 + 2*t*x - 4*t - 3 wrt t?\nAnswer: 10*g*x - 4522*g - 8*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 873*c - 1648*c - 1759*c.\nAnswer: -2534*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - 5*q + (5*q + q + q)*(-3 + 0 + 4).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2728)\/(-1240))\/((-88)\/(-80))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/7 (b) 0.5 (c) -5 (d) 1\/6 (e) 322\/15 (f) 2\/35\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**3 - 44783*g + 89559*g - 44776*g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*b - 47 = -21*b - 301 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1980 and 15?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(896)\/sqrt(8).\nAnswer: 2 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - -25?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 14864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -78?\nAnswer: -4.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15765 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**4\/12 - 2*r**3\/3 + 5*r**2\/2 - 2*r. Let p be j(-4). What is the units digit of ((-2)\/(-4))\/(p\/310)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/21 - 65\/7. Let z(v) = v**3 + 9*v**2 + 9*v - 6. Let n be z(l). Let r = n + 124. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -89, -139, -229, -371?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = q + 181237, 3*v - 2*q - 225439 = -89510. What is the ten thousands digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -15. Put -5, n, 1 in increasing order.\nAnswer: -5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + -52 + 35 + 64?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1083*w - 11 = 1084*w + 4*u, 18 = 6*w - 4*u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-3\/2)\/s))\/s*s**(-1\/7)*s**17\/(s\/(s\/((s**8*s)\/s))) assuming s is positive.\nAnswer: s**(145\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 81\/9 - (2 - 12). Sort -20, 5, t, 0 in ascending order.\nAnswer: -20, 0, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5769651 grams in tonnes?\nAnswer: 0.0000005769651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 + 5*y - 4. List the prime factors of h(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 2*z - 41, -m = -z - 57 + 78 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97.4 + 96.9. What is the nearest to 2\/5 in -3\/8, a, -12, -4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3089 - -40159\/13. What is the closest to -1 in 5, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100011210202 (base 3) in base 15?\nAnswer: 387d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.1976 and 1.256?\nAnswer: 1.5041856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1117331 is divided by 3427.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*(0 + sqrt(539) + sqrt(539))*-5 + 6*(sqrt(539) + (sqrt(539) + (sqrt(539) - (sqrt(539)*-2 + 1)) - sqrt(539))) + 2)**2.\nAnswer: -3808*sqrt(11) + 1246200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -53358.3 to the nearest one thousand.\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 979.077 plus -2?\nAnswer: 977.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1482752914?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**3 + 2*x**2 + 3*x + 4. Let a be q(3). What is the first derivative of -3*d**2 - a - 7305*d**4 + 3*d + 7297*d**4 - 3*d wrt d?\nAnswer: -32*d**3 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3064709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 3060, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*v + 7168, -m + 1180 = -2*v - 1204. Let f = m - 26307\/11. Calculate the common denominator of f and 54\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - p - 1. Let i be b(2). Let a = -5 - i. Solve 0*y + 10 = a*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -5*l + 17 - 22, 4*l + 32 = 8*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, 4, -71, 5 in descending order.\nAnswer: 5, 4, -5, -10, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19870, -19884, -19898?\nAnswer: -19912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4482 + -132\nAnswer: -4614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20060 (base 15) to base 3.\nAnswer: -12011000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-54)\/15)\/((-50)\/125).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276.39191 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 + -46. Suppose 4*s - 5*u - 34 = b*s, 5*u = s - 22. Solve -5*h = -h - s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 8 - 4)*(-5*l - 20*l - 33*l) to t*l + u and give t.\nAnswer: 1334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -288*u**4 - 401 wrt u.\nAnswer: -1152*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39 in -3, -4, 4, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 110110101100?\nAnswer: -110110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44 - -431?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + (-2 + -4 - -3). Let z = u + 17. What is the greatest common divisor of 16 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -163*p + 44 + 3 + 158*p. Let y be m(9). Suppose 2*g**2 - 14\/3*g**4 + 4\/3*g - 2*g**3 + 0 - y*g**5 = 0. Calculate g.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*d + 2 = -83, 4*k + d = 79. Calculate the remainder when k is divided by (-1)\/(0 - 1\/7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.2662 + 18.4908. What is p rounded to 0 decimal places?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 64.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21\/(-7))\/((-2)\/(36\/(-27))))\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 16*f**2 + 2*f + 35. Calculate t(16).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -5*a**3\/3 + a**2\/2 - 9*a. Let u be d(-2). What is the greatest common factor of 21 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 2*n - 1. Let v be m(-3). Let d be 380 - (v + -1) - (11 + -14). Let a = d - 118. Does 33 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + c - 3*a = 13, 0 = -3*a - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**11\/(h*h**(-5))*h**(-8)*h**(8\/3)\/h assuming h is positive.\nAnswer: h**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775398113?\nAnswer: 7, 19, 5830061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -501 + 255?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 7\/((-35)\/(-25)). Suppose 4*l + s*o - 11 = 20, 37 = 4*l - o. Solve y - 4*q + l = 0, -q + 4*q = y + 8 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.36 - -0.36. Which is the nearest to d? (a) -2 (b) -1\/3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13583555 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egtgatxtoxea. Give prob of picking 1 o, 1 t, and 1 e.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -255939.\nAnswer: 511878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5\/4 (b) 2 (c) -104 (d) -6 (e) 10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 5 - 15. Let o(t) = -t**3 + 2*t**2 - t. Calculate o(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.626719 years to millennia.\nAnswer: 0.000626719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3124761435?\nAnswer: 3, 5, 271, 85411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*o = 18*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 15*a**2 + 17*a - 18. What is the remainder when 60 is divided by b(14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 3*i + 34, 27*a + 427 - 506 = 4*i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 - 200*h**2 - 38*h + 3782. Calculate z(100).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o, -2*m + 0*m + 2*o = -4. Suppose -575*i - 40 = -595*i. Let 2*a**3 + 0*a**3 - 14*a**4 - 2*a - 1 + 13*a**4 + 4*a**m - i = 0. What is a?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - (-152)\/(-39))*(-3)\/(-2). Let y = -0.03 + -2.97. Put y, q, -5 in decreasing order.\nAnswer: q, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, c: 7, f: 1, g: 3, r: 3}. What is prob of sequence xf?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 16.3?\nAnswer: 65.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22536, -45068, -67600, -90132, -112664?\nAnswer: -135196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 11*o - 4. Let j(h) = 5*h. Let a be j(9). Suppose 2*w + a = 5*w. What is the units digit of b(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22240143 - 101?\nAnswer: -22240244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11955 is divided by 225?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i. Let h(x) = -76*x + 42*x + 4*x**2 + 34*x. What is h(m(k))?\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -97\/6. Is -1 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5423 - -10419. What is the highest common divisor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*f + 163*f - 18 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -29, -102, -207, -332, -465, -594, -707?\n\"Answer: 2*w**3 - 28*w**2 - 3*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4030739 and 725?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.89355 times -2.091?\nAnswer: 1.86841305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11\/2)\/((-3)\/(-6)). Suppose -13 - 9 = -o*l. Suppose -293 = -5*q - 2*w - l*w, 3*q = 3*w + 165. What is the greatest common factor of 19 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 47 = x + 6*p, 0 = -5*p - 5. Is 5 a factor of x*((-1)\/(-2))\/(15\/(-80))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -7*a**3\/4 + 97*a**2\/2 + 14*a = 0.\nAnswer: -2\/7, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27)\/(-63) - 50\/(-14). Let x be w\/(-10) - 2120\/(-50). Suppose -10*d + 12*d = x. What is the remainder when 39 is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5053, -6073, -8835, -14209, -23065, -36273?\n\"Answer: -145*z**3 - z**2 - 2*z - 4905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -50*o**3\/3 + o**2 + 3023*o - 2828. Differentiate j(k) with respect to k.\nAnswer: -100*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122021 (base 3) to base 7.\nAnswer: -1234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, l: 5, e: 1, c: 5, r: 1}. Give prob of sequence lql.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 1. Let g(j) = 10*j**2 - 5. Let m(f) = -2*g(f) - 10*h(f). Let o(l) = -34*l. Give m(o(z)).\nAnswer: -11560*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 2*n**2 + 21*n + 42. Let b be l(-2). Solve -3*m + 15 = -b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1156*r**2 - 2292 wrt r?\nAnswer: 2312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 149336917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(7) + 0) + -3 + sqrt(21)\/sqrt(3))**2*-4.\nAnswer: -736 - 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2742 plus 307270021?\nAnswer: 307272763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6961 divided by 3\nAnswer: -6961\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1998 + 65086. List the prime factors of t.\nAnswer: 2, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.2327 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 85110946913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4131804 divided by -4596\nAnswer: -899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-14) - (-22)\/(-21)*-6. Let b = -153 - -288. Suppose -z*r = -r - b. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10027, 23997, 37967, 51937?\n\"Answer: 13970*c - 3943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in meters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2. Let v(z) = 7*z - 2*z**2 + 0 + 0. Suppose 94*y - 99*y + 40 = -5*i, 3*y - 16 = i. Give y*d(o) + v(o).\nAnswer: 2*o**2 + 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 77*y**3 + 3*y**2 + 10*y + 7. Let v(m) = 115*m**3 + 5*m**2 + 16*m + 11. Suppose 48 = 13*t - 7*t. Let k(d) = t*c(d) - 5*v(d). Determine k(1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 329 and 70594?\nAnswer: 494158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 22 = -4*i, -2*c = -3*i - i + 2. Suppose i = 4*r - 1. Is r at least 1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*g + 2 = 0, 0 = -g - 2 + 1. Let j(q) = 2*q + 6. Give j(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6 - 7*j + 6 + 0. Let x(l) be the third derivative of -l**4\/24 - 78*l**2. What is k(x(m))?\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**2 + 2*l**2 - 4*l**2 + (-4*l + 3*l + 3*l)*(4 + 2*l - 4) + (-4*l + 0*l + 6*l)*(-3 + 3 + 2*l) + l**2 + 0*l**2 - 2*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*u + 22 = 3*m, -2*m = -u + 19. Let c be (-34)\/m + (-12)\/(-54). Solve 2*o = -2*o + c*x, 0 = -5*o - 5*x - 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, 5, -6, -266, 1 in decreasing order.\nAnswer: 7, 5, 3, 1, -6, -266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194379312 is divided by 97189656.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29089486 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/502485 and -56\/3.\nAnswer: 502485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -3*p + 29, 5*v - 10 + 36 = 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15823?\nAnswer: 15823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 5*l**3 - l + 5)*(3 - 3 + 1)*(4 + 2 + 2) as r*l**3 + x*l + g*l**2 + k and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 13*r = 54. Let u(n) = 2*n**2 + 4*n - 2*n - 4*n**2 + n**2. Determine u(r).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17794 + 113091. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35.742416 * -0.4.\nAnswer: -14.2969664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4102, -4100, -4098, -4096, -4094, -4092?\n\"Answer: 2*q - 4104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -2, -1699, -3, 5, -4, 3 in increasing order.\nAnswer: -1699, -4, -3, -2, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6*3 - -5. Let l(z) = 2*z - 21. Let k(h) = -h**2 - 5*h + 8. Let x be k(-5). Let i(n) = -3*n + 31. Let o(b) = x*l(b) + 5*i(b). Give o(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 10*t + 24. Let m be h(-6). Suppose -3 - 15 = 2*l. Let j = l - -10. Sort j, 4, m in decreasing order.\nAnswer: 4, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -34005040, -34005039, -34005038, -34005037, -34005036?\n\"Answer: a - 34005041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -667, -1364, -2057, -2746?\nAnswer: -3431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 261 and 174.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-1 + -5 + 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 + 2*d**2 + 24. Let s(j) = -9 - 21*j**2 + 24*j**2 - 4*j**3 - 60 - 8*j**2 + 20. Calculate 2*s(z) + 5*u(z).\nAnswer: 2*z**3 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13665?\nAnswer: 3, 5, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*x**2 - 3*x**2 - 2*x**2 + (-56*x + 119*x + 39*x)*(5*x - 3*x - 3*x).\nAnswer: -100*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*q - 119 - 1, -c = q + 32. Let b = 54 + c. Let u(m) = 2*m**2 - 5*m - 4. Calculate the remainder when b is divided by u(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - k - 1 - k + 2 - 2 + (k + 2 - 2)*(-4 + 5 - 2) + 28*k - 51*k - 72*k in the form n + l*k and give l.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -3) + 2 + 3. Suppose h - f*h = -813. Let a = 629\/2 - h. Calculate the common denominator of -101\/8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-1\/3)*q**1*((q*q**3)\/q*q)\/(q\/q**(-2\/9)) assuming q is positive.\nAnswer: q**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 5*r + 1029. Let t(p) = p**2 - 4*p + 1032. Determine 4*o(w) - 5*t(w).\nAnswer: -w**2 - 1044","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16300 divided by 52.\nAnswer: -4075\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 916, 3, 6 in descending order.\nAnswer: 916, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -3. What is the third smallest value in l, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1091.0000002025 - -1091. Round d to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -5\/24*t**4 - 12*t**2 + 0*t - 1\/12*t**5 + 0 + 0*t**3. Find the second derivative of j(v) wrt v.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134 divided by -4.\nAnswer: -67\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3180\/1325 - 37\/15.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 2\/829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n - 713. Let l(z) = -15*z**2. Give t(l(w)).\nAnswer: 30*w**2 - 713","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(19)*2 - sqrt(19)))**2 - (sqrt(19) + 6*sqrt(38)\/sqrt(2) - sqrt(19)).\nAnswer: -6*sqrt(19) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 85, 289, 495, 703?\n\"Answer: z**2 + 201*z - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 708.9 + -667. What is t rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(136) - sqrt(136)*2) + sqrt(136) - sqrt(136)))\/((sqrt(120)\/sqrt(3))\/sqrt(5)) - (2 + sqrt(68) + 0 + -5))**2 + -2.\nAnswer: -6*sqrt(17) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/(-12))\/(-1*2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49105 and 2806?\nAnswer: 98210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -39, -99, -193, -327, -507?\nAnswer: -739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdxhgyhy. Give prob of sequence hy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -8. Let o be (-256)\/(-40) - 7\/(7\/6). What is the closest to o in 2\/9, 4\/3, j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89290771?\nAnswer: 89290771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*d - 4*n - n, 0 = -3*d + 3*n + 18. Let t = d - 2. Suppose t*q - 4 + 0 = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z**3 + 2*z**2 - 2*z - 2. Let c(j) = j**3 + j**2 - j - 1. Give 2*c(t) - h(t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 127207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.506406 kilograms in milligrams?\nAnswer: 2506406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21468 and 48303?\nAnswer: 193212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 13\/7 (c) -0.835 (d) 32 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 1)*(-3*d**4 + 3*d**4 + 3*d**4 + (-28 + 28 + 9*d**2)*(-2*d**2 + 3 - 3)).\nAnswer: -45*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 - 60. Suppose -2*t + n = 9. Let z = -51 - -50.8. Which is the closest to z? (a) 1 (b) -1\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 - 2*d**3 - 3*d**3 - 3 + 3 - 2*d**3 + (2*d**2 + 3*d**2 - 4*d**2)*(0 + 0 + 3*d) to k + r*d + f*d**2 + x*d**3 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 381980*r + 179898?\nAnswer: 381980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.8 (b) 92 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-1) - -2) + -1. Suppose 2*y = -5*c + 21, 0 = 3*c - p - 9. What is the lowest common multiple of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*a**3*q**3 - 159*a**3*q**2 + 7*a**2*q**2 - 79*a*q**3 wrt q.\nAnswer: -42*a**3 - 474*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 3*x + 6. Let c(t) = 1 - t**2 - 2 + 0*t**2. Let l be c(2). Give w(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.873 rounded to 1 decimal place?\nAnswer: 91.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/(-6) - 2\/(-6). Let w(a) = a**2 - 5*a + 4. Let s be w(4). What is o in -o**2 + 7*o + s + 0 - k*o = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1373 is divided by 153?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 590 a factor of 811437030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 8:34 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**3\/3 + 398528*d**2\/3 - 797068*d\/3 + 398536\/3 = 0.\nAnswer: -99634, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 + 5*b**3 + 2*b**3 - 7*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4957562?\nAnswer: 2, 167, 14843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/(105\/10) - 1314\/(-140) and -113\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 2}. Give prob of sequence rc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 136 - 3?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 w when three letters picked without replacement from jdjdemjwwwjj?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 + -3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -12\/161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -953129.\nAnswer: -3812516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.94 - -15. Sort -5, -0.1, c in ascending order.\nAnswer: -5, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 4*g**2 - 3*g + 4. Let i be (1 - 2\/6)*2268\/27. Let j = 74 - i. What is the lowest common multiple of j and a(-4)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -5 - 894*2\/4. Let r(u) = 5*u**2 + 4*u + 2. Let o be r(-12). Let d = v + o. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.153584409 rounded to 5 dps?\nAnswer: -0.15358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 109883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 463200, 463200, 463206, 463224, 463260?\n\"Answer: j**3 - 3*j**2 + 2*j + 463200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -107 + 101. Suppose r + 2 = 5*f, -10 - 1 = -2*r - 5*f. Solve 3*a = 3*n - r, 5*a = -2*n + n + b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**3\/4 - 11*t**2\/2 + 475*t\/4 - 153\/2 = 0.\nAnswer: -17, 2\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-1 + 2 + -1)) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 3 + 4)*(-2*m + 2*m - 2*m**4) to the form i*m**2 + q*m**3 + z + a*m**4 + l*m and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*l + 10 = 4*d, 14 = 4*d - 2*l. Let v(g) = -g + 1. Let i be v(1). Solve 2*a - d*a = i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**4 - 2040*v**3 + 162693*v**2 - 2845152*v - 28594944 = 0.\nAnswer: -7, 48, 591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Express (3*t**2 + t**2 - 2*t**2)*(-14*t + 3*t**2 - 7 + 16*t - 6*t**2)*(-1 + 0 - 1) as j*t**3 + z*t**4 + h*t**2 + w*t + g and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 15 = 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2130323332 (base 5) to base 12.\nAnswer: 1630806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -1415*w - 7771. Determine j(-3).\nAnswer: -3526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (7 + (2 + -1 - 12) - -1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2036899 to the power of 1\/2, to the nearest integer?\nAnswer: 1427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**2\/5 - 76855244*q\/5 + 1476682132574884\/5 = 0.\nAnswer: 38427622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -61 + 11. Suppose -2*b + 3*h + 2691 = 0, 3*h + 1341 = b - 9. Suppose -3*s + b = 3*d, -191 = -2*d - u*s + 697. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 6*a**3\/11 - 774*a**2\/11 - 8214*a\/11 - 17514\/11 = 0?\nAnswer: -7, -3, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27691131814 + 27691262993.050037. Let j = 131179.6 - t. Let z = 0.55 - j. Round z to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**2 + 8*c - 7. Let w(m) = -m**2 + m - 1. Let b(j) = f(j) - 3*w(j). Let l be b(3). Sort 3, l, -1 in increasing order.\nAnswer: -1, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*1*20\/15. Let n be f\/(-12) + 314\/3. What is the greatest common factor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2967 and 15886307?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 5, -8, 0.5, -9\/20, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m + m - m**3 + 2 - 4*m**2 + 5*m. Let h be k(-3). Let b = 16 + h. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-23))**48)**(6\/35))**(-15) assuming o is positive.\nAnswer: o**(19872\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/407099672 and 23\/3760736.\nAnswer: 1628398688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmmzbbhbzzppbzpipmm. What is prob of picking 1 m and 1 b?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqgqqqqqggqgqggqqeq. Give prob of sequence qgqq.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 274 - 273.667. Let v = -0.233 + h. Let g = -0.2 - -0.2. What is the second smallest value in 5, -2\/13, g, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10*x**2. Let j(z) be the third derivative of -17*z**4\/24 + z**3 + 40*z**2. Let f(t) = -18*t + 7. Let c(b) = 6*f(b) - 7*j(b). Determine v(c(g)).\nAnswer: 1210*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 756 and 861?\nAnswer: 30996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240 by 2674.\nAnswer: 120\/1337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 418, 938, 1656, 2566?\nAnswer: 3662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 1:29 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 28 (b) -1\/6 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 p when three letters picked without replacement from ggpggppppgpppggp.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/8, 3, -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**2 + 3084*w - 6184 = 0.\nAnswer: -773, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -685 = 2*r - 723, n + 4*r - 71 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*(-6)\/4)\/(496\/(-992))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/(((-169)\/39)\/(104\/(-12))).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2733511 and -0.017.\nAnswer: -46469.687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*sqrt(19) + -2 + 4 + 4*sqrt(76))**2.\nAnswer: 8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 5*m**4\/12 - 2*m. Let i = -64 + 133. Let d(x) = i*x - 34*x - 32*x. What is d(a(w))?\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nw when two letters picked without replacement from {n: 1, w: 1, q: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - g)*(g - g + 2*g**2)*(-3974 + 1992 - g + 1992).\nAnswer: 2*g**4 - 20*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 8*r = -872, 19*x = 17*x - 5*r + 508. What is the lowest common multiple of 594 and x?\nAnswer: 7722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 53 = -93. Suppose -s = -21*v + 95. What is the highest common factor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 320, 1617, 3892, 7145, 11376?\nAnswer: 16585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(12\/7)*s**(2\/3) assuming s is positive.\nAnswer: s**(50\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -1\/2*b**2 - 3 + 2*b. What is o(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*z**5 - 278*z**3 + 611*z**2 + 8268090*z + 5 wrt z?\nAnswer: 220*z**3 - 1668*z + 1222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1225*y = 1414*y - 997*y + 1876*y + 309584 for y.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 5*m - 104. Calculate the smallest common multiple of 4 and m.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12259745 at least as big as -12259745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 12\/25 of a century?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 217 + -130. What are the prime factors of x?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**2 + 7*x + 1. Let l(d) = -7*d + 3. Let k be l(0). Let i(o) = 2*o**2 - 7*o - 2. Let u(c) = k*y(c) + 4*i(c). What is u(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -419890 plus 5?\nAnswer: -419885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 87.72495 milliseconds?\nAnswer: 0.08772495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/611 or -1?\nAnswer: -14\/611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 160 + 3?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(495\/25)*(-6)\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 452600123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**6\/120 + u**5\/60 - u**4\/24 + u**3\/3 + u**2. Let s be r(0). Put 5, s, 2\/9 in ascending order.\nAnswer: 2\/9, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11302.\nAnswer: 2, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*a - 14 = -u + 32*a, 3*u + a = 12 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**3 + 19*a**2 - 24*a - 14. Let m be t(6). Let z(d) = -4*d**2 - 3*d - 6. Let l be z(5). Which is bigger: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25\/3*f + 4 + 7\/6*f**2 - 19\/6*f**3.\nAnswer: -(f - 2)*(f + 1)*(19*f + 12)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 11*h - 30. Let o(p) = 6. Let c(d) = -7. Let y(n) = -3*c(n) - 4*o(n). Let z(q) = -r(q) + 5*y(q). Calculate z(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -1, 13 in descending order.\nAnswer: 13, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 - 9*c + 8. Give p(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 50*w + 2209. Give t(-44).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 662386.2 years?\nAnswer: 6623.862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 429, 977, 1735, 2697, 3857, 5209?\nAnswer: 6747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22012678?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o. Let j(u) = u**2 - 8987 + 8987 + 51*u**2. Give t(j(c)).\nAnswer: 104*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-184)\/10 + 3\/(-5). Let w = 49 + i. Suppose w = j + j. Solve 2*p + p - j = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7656.1 - 7656. Which is the closest to -35? (a) p (b) 5 (c) -8 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -282, -2654, -6606, -12138, -19250?\nAnswer: -27942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) 3 (b) 2\/7 (c) -45837\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2812734 and 2088?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.88237 nanometers in kilometers?\nAnswer: 0.00000000006888237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2. Let x(b) = -b. Let v(g) = 163*g - 1. Let l(r) = v(r) + 2*x(r). Calculate l(j(i)).\nAnswer: 322*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 + 94*m + 138. Calculate the remainder when a(-32) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 2*y + 1803 - 1791, 2*y - c + 2 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19114365*x**3 - 97582325*x**2 wrt x?\nAnswer: -114686190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -29092, -29068, -29010, -28906, -28744?\n\"Answer: 2*u**3 + 5*u**2 - 5*u - 29094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47524746*b**2 - 25343498.\nAnswer: 95049492*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 889\/98160 + -2\/409. Let k(s) be the third derivative of -1\/12*s**3 + 1\/120*s**5 + 0*s - s**2 + 0 + m*s**6 - 1\/48*s**4. Let k(h) = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -7*p**3 - 3*p**2 + 3*p + 3. Let g(y) = -15*y**3 - 7*y**2 + 7*y + 7. Suppose -32 = -i - 39. Calculate i*l(r) + 3*g(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 106519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b + 0*b + 3*b. Let p(j) = -65*j - 1 + 3*j**2 + 65*j + 1. Give p(i(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 8:13 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 55038671\nAnswer: 11\/55038671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**48*a**(-11)*a\/(a\/(a*a**(1\/2)*a)*a) assuming a is positive.\nAnswer: a**(-115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**4\/6 + n**3\/6 - 4*n. Let f be w(-1). Are f and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 + -292 + 115 - (-3 + -165)?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47833521?\nAnswer: 3, 15944507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 221 - 105. Let f = -121 + r. Let u = -15 + -1. Which is the smallest value? (a) u (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8 - -10 - 1\/(-15)*-106 and 115\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 3*f - 16 = -4*s, 3*f = 5*s + 19. Is 3\/15 + (-129)\/s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -500, -545, -592, -641, -692?\nAnswer: -745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 271836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2*(sqrt(396) + -2) + -1*sqrt(396)*-1 + sqrt(396) - (5 + 2 + sqrt(396) + 2 + 2 + sqrt(396))) + -4)**2.\nAnswer: 384*sqrt(11) + 1840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 317314719 to the power of 1\/2, to the nearest integer?\nAnswer: 17813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (214 - 214 - 9*u + 7*u**2 + (1 + 0 - 3)*(2*u**2 - 3*u**2 + 3*u**2) - 2*u**2 + u**2 + 3*u**2)*(5*u**2 - 3*u**2 - u**2).\nAnswer: 5*u**4 - 9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*r - 15772 - 20896 = -39902 for r.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 9*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*x - 18*x - 22*x)*(4 - 3 - 2)*(0 + 1 - 3 + (1 - 1 + 2)*(1 - 2 - 3))*(3*x + x - x).\nAnswer: -840*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4594.\nAnswer: 2, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 + -2. Let q = -3.7 - l. Suppose 5*f = -7 + 2. Which is the closest to f? (a) q (b) -2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d - 5 + 4 - 7 + 2 + 57 - 51.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8\/5981 + -652633\/526328. What is the common denominator of 73\/180 and x?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (-1 + 4 + -16). Let k be (-4)\/x - (-4)\/5. Determine p, given that 4\/5*p + 2\/5 + k*p**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by -6048.\nAnswer: 13\/1512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 4*w**2 + 3*w + 5. Let o be s(5). Let i(x) = -7*x - 5. Let l be i(o). What is the greatest common divisor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2465 is divided by 59?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r + 636 = 180. Let n = -36 - r. Suppose 4*a - 5*a = -f + 10, -2*f = n*a. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 4, 1, 2\/9.\nAnswer: 2\/9, 1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25439 + 47626 + 88379 = -1874*s for s.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 20\/12)*((-47)\/10 + 5). Put a, -0.121, 4\/7, -0.4 in descending order.\nAnswer: 4\/7, a, -0.121, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 976.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075 > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 0. Let y = 21\/4 - 19\/4. Put q, 2, y in descending order.\nAnswer: 2, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1500 and 12104250.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -111.157 + -0.343. Let u = -111 - z. Let d be (3 - 2)*(-2 - -1). Which is the third smallest value? (a) -5 (b) u (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1098.5 - -1099. What is the closest to 0.1 in n, -4\/9, 0.2, -2\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 701.5731 milligrams?\nAnswer: 0.0007015731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g*s**2 - 6*g*s + 40835540*g - 2705*s**2 - 15*s wrt s?\nAnswer: 2*g*s - 6*g - 5410*s - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -5. Suppose -x*l = -4*l. Which is the nearest to -0.1? (a) l (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 161\/32846?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/58 and 5\/368.\nAnswer: 10672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - 5. Let m(c) = -44. Let a(t) = -3. Let n(s) = 28*a(s) - 2*m(s). Determine -5*n(d) - 4*y(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -26059, -26064, -26073, -26086, -26103, -26124?\n\"Answer: -2*a**2 + a - 26058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 29263357 (b) -4 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (88\/198)\/((-52)\/(-117))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26\/12 - 19\/114\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + 10. Is 16 a factor of -3 + s\/3*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/11)\/((7900\/400)\/79)?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 9*x**2 + 9*x + 7. Let m be d(10). Let b = m - -23. Is b a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**3\/5 - 17872*y**2\/5 + 10*y + 89360 = 0.\nAnswer: -8936, -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*h + 13209 = 0, -5*i + 13212 = 7*h - 3*h. What is the highest common divisor of i and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*33*(-5)\/40*-8. Let i = w - 29. Solve -2 = -i*u - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxv when three letters picked without replacement from vxvxx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 2*t**2 - 4*t)*(1383*t**3 - 3084*t**3 + 1412*t**3).\nAnswer: 578*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {u: 7, p: 2}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 871 - 124?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 23. Suppose v*o = 525 + 69. What is the remainder when o is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/9 - -1\/9. Let t = 690 + -690.1. Which is the second smallest value? (a) t (b) f (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1654 is divided by 165?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**2 + 147*h**4 + 2*h**2 - 144*h**4)*(-3 + 4 + 2).\nAnswer: 9*h**4 + 21*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 40 = -10*g. Let x(c) = 0 + 1 + g*c + 12*c**3 - 9*c. What is x(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 - 2406423578?\nAnswer: -2406423578.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4954 - 4950. Suppose -3*r + 43 = f, -5*f + 30 = 2*r - 3*f. Let u = r - 10. Solve -l + u*d = -d - 7, -4*l + 4*d = j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-1)\/(-16)*-1. Let x(f) = f**2 + 2*f + 1. Let v(l) = l**3 - 3*l**2 + 2. Let k be v(2). Let b be x(k). Which is bigger: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (160\/15)\/((-4)\/(-6)). Solve -4*o - 2*k - 12 = -k, -o + 3*k - c = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**2 - 9*w - 5. Let q be b(9). Suppose -q = -5*h + 11. Solve 0 = h*z, 3*v + 5*z + 2 - 17 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37567.35 - 37665.35354. Let z = -98 - q. Round z to 4 dps.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-25) - 0)\/((-34)\/(-85))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10962*a + 9994*a - 1272774 = 126*a + 164496 for a.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455*k = 439*k - 64. Which is the second biggest value? (a) -0.2 (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 2*x + 89. Let u(m) = 3*m**3 + 5*m + 179. Calculate 2*u(t) - 5*w(t).\nAnswer: t**3 - 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1926379.\nAnswer: 7, 13, 21169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) -4 (c) 2\/31 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-57)\/(-54) - 451\/990.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -5\/24*c**4 - 7\/6*c**3 + 0*c - 43\/120*c**6 + 74*c**2 - 1\/30*c**5 + 0. What is the second derivative of w(z) wrt z?\nAnswer: -258*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q**4 - 42074*q**3 + 14018*q**2 + 42074*q - 14024 = 0. What is q?\nAnswer: -1, 1\/3, 1, 7012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5)\/(4 + 159\/(-39))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (8\/((-7680)\/(-1490)))\/((-3)\/(-4)) and -109\/132?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -763 - -762. Is n at most as big as 0.035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*3\/6*18\/12?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 11 = m + 8*z, 1 = z. Let y(g) = -3*g + m - 5 + 0*g - 5. Let a be y(-3). Solve -4*c + a + 11 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 641*k**3*l**2 + 10139*k**3 + 5*k*l**2 wrt l?\nAnswer: 1282*k**3*l + 10*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 6147.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 1\/17, 3.4, 2\/3 in increasing order.\nAnswer: 1\/17, 2\/3, 3.4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/302352 and 35\/201568.\nAnswer: 604704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2281074637, 2281074639, 2281074641, 2281074643, 2281074645?\nAnswer: 2281074647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 473\/(-165) + 2\/(-15). Let l = -10.9 - -10.7. Which is the nearest to 2? (a) l (b) 4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181137104?\nAnswer: 2, 2503, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2295 (b) 1 (c) -4\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37, 52, 67, 82, 97, 112?\n\"Answer: 15*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 513304359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1960 divided by 137.\nAnswer: -1960\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 4. Suppose 4*d = 2*l + 15 - 3, 5*l + y = 0. Suppose -q - 60 = -5*u, 0 = 3*u + d*q - 6 - 43. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178, -171, -176, -199, -246, -323?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**4\/4 + 2*t**3 + 8*t + 2. Calculate the common denominator of l(7) and -32\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2557 - -2556.7. Put -4, -2\/7, 2, j, 136 in ascending order.\nAnswer: -4, j, -2\/7, 2, 136","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -10*x + 109. Give p(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42, -65, -64, -39?\n\"Answer: 12*t**2 - 59*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/21413 and -57\/8?\nAnswer: 171304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*o - q, 3*o - 3*q - 18 = -0*q. Let y(n) = -3 - 5*n - 6*n + 5 - n**2 - o. What are the prime factors of y(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 541543561?\nAnswer: -541543560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 277 + -273. Let j = 795 + -795.1. What is the closest to -9 in 1, -2\/9, j, p?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3380*j**2 + 58129255*j + 257970.\nAnswer: 5*(j + 17198)*(676*j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 357 and 4767?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 - 19700?\nAnswer: -19293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40414 <= 40395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*c**2*z + 200554*c**2 + 38069*c*z**2 + 43*c*z - 61*c wrt z?\nAnswer: 5*c**2 + 76138*c*z + 43*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 164 + -74. Does 49 divide 6849\/z - (1 - 18\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**5\/w)*w)\/w*w**(-2\/11)\/w*(w\/w**7)\/(w**(-3\/7)\/w))\/((((w*w*w**(-2)*w*w)\/w)\/w)\/w*w**(1\/3)*w)**(-8) assuming w is positive.\nAnswer: w**(-1406\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 - -93.6. Let i = h + 8. Let j = 8 - 12. What is the closest to -1 in j, i, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 4*k**2 - 3*k - 2. Let t be h(-4). List the prime factors of 924\/t + (-36)\/(-60).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2407 - 2390. Solve 0 = -23*r - a*r + 200 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(1\/17)*o\/(o**5*o)*o*o\/o**(1\/16) assuming o is positive.\nAnswer: o**(-849\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 5 + 11, 0 = -5*g + 2*o - 143. Suppose 6*s - 4*s - 5*h = 63, -h = -5*s + 192. Let z = s + g. 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 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 144587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 5*v**2 + 6*v - 26. Let x(s) = -s**2 - 15*s - 39. Let h be x(-11). Let n be q(h). Solve -n*u - 13 = 3*l + 15, 0 = 3*l + 5*u + 32 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -12 - 3) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 8. Let l be (-6)\/(-14) + (-17)\/7. Let k be (-2356)\/744 - (-25)\/10. Which is the closest to 57? (a) k (b) l (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 2*q**3\/3 + 1. Let z(m) be the third derivative of m**5\/60 - 23*m**2. What is b(z(r))?\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -6. Suppose 15 = -0*w + q*w. What is the lowest common multiple of w and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-999)\/1512 + 2\/7?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 4*o - 4*o - 5*o + 1. Let j be ((-37 - 23) + 62)*6\/4. Let m(d) = -d**2 - 4*d. Give j*m(u) - 2*c(u).\nAnswer: -u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 18*l**2 + 2*l - 1. Suppose -2*w + 4 = 2. Is 19 a factor of s(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 9:58 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -274, -68, 6?\nAnswer: -274","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/10*(-6)\/(-216))\/(-4*1\/9).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1369446, 1369442, 1369436, 1369428?\nAnswer: 1369418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1026148991.\nAnswer: 7, 101, 937, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 790 (base 11) to base 14\nAnswer: 4b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 290 = 2*m - 0*j, -5*j - 700 = -5*m. Let d = -39 + m. Let t = d - 95. What is the highest common factor of 56 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y. Let z(l) = -115*l + 8520 - 332*l - 8520. Give z(j(r)).\nAnswer: -1341*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qddddddadddaddddd. What is prob of picking 1 a and 1 d?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 s when four letters picked without replacement from {p: 1, s: 7, e: 1, q: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -540204400 to the nearest one hundred thousand.\nAnswer: -540200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + w - 2 = 0, 3*w - 2 = -2*o + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 241 = 321. Let m(g) = g**3 + 4*g**2 + g + 1. Determine m(t).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4 - (-1)\/1. Let v = 391 + -386. Sort 4, l, -3, v in descending order.\nAnswer: v, 4, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2207 (base 9) to base 8\nAnswer: 3133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5123664 divided by -598?\nAnswer: 8568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z**2 + 2*z - 8. What is the remainder when r(5) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155733367 to the power of 1\/3, to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -1294*r - 157. Is l(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b - 1084a7?\nAnswer: -108515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62571 = 2441*g - 10659 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -3\/5, -0.4, 8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 1 + 7*l**2 - 22 + 2*l - 8*l**3 as s*l**2 + t + f*l + d*l**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2532000 rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 97 and 95 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*w**3 - 75*w - 86 - 27*w**3 - 39 - 15*w**2.\nAnswer: -(w + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1125\/6 - ((-25)\/(-10))\/(-5). Suppose -3*k + 3*f = -3, -4*k + 2*k + 6 = 2*f. Calculate the remainder when k\/(-1)*(-1 - n\/8) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**13*r\/(r\/r**(-2\/3)))**(-6) assuming r is positive.\nAnswer: r**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-400))\/(6\/3*17\/(-136))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 9657 + 33217 = 39*z. What is the third smallest value in z, 1, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - -5. Suppose 0 = -n + 4*x + h, 4*n - 2*x = 16. Solve 4*i - w + 15 = 39, -32 = -4*i + n*w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -90 - 20?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 1)*(-3 + 3 + 2*d)*(97 + 154 - 107)*((-3 + 4 - 3)*(3*d + 3 - 3) + d - 4*d + d).\nAnswer: 6912*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -48 + 49 - 28*l + 5*l. Let r(w) = w. What is q(r(m))?\nAnswer: -23*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(304) - (1 + -1 + sqrt(304) - sqrt(304))) + -5 - (-3 + 1*sqrt(304) + (2 + sqrt(304) - sqrt(304)) + 2))*-3)**2.\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 106, 110, 114, 118?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + 45.6. Let v = j - -6. Let u be 3 + (0 - (-16)\/(-4)). Which is the nearest to u? (a) 0 (b) 0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56a5 (base 13) to base 9\nAnswer: 17572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 268\/52 - (-4)\/(-26). Let y be -2 + 2 + -1 + -1. Put -5, y, f in descending order.\nAnswer: f, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**4\/3 - 50*z**3 - 492*z**2 - 4400*z\/3 - 1024 = 0.\nAnswer: -64, -6, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.057284 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sslsmmlmlmbsmd. Give prob of picking 1 m and 3 l.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*s**4 - s**3 + 4732769*s**2 + 216624262*s?\nAnswer: 72*s**2 - 6*s + 9465538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -4*x + 8. Calculate the highest common factor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.1 + 2.286. Let k = -0.2 + v. Round k to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 324 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + s**2 - s**2 + 16*s**2.\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-29)\/4)\/((-6)\/72). Calculate the common denominator of 0 - (b\/(-4) - 2) and 111\/(-9)*3\/(-11).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53497 is divided by 26748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -2 - (4 + -1 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 227683050.0000446 - 227683125. Let s = -75 - x. Round s to six dps.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -69*j + 7943. What is r(115)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3)**(-13\/4)*(m*m**(4\/3))**(-47))**(-9\/2) assuming m is positive.\nAnswer: m**(4299\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - 4*(sqrt(30) - 3*sqrt(30)) - sqrt(30))\/((-3*sqrt(70))\/sqrt(7)).\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + 0*t**2 + 3*t**2 + 4*t**2 - 4*t**2 - t**2 + (4 + 2*t**2 - 4)*(0 + 2 - 3) - 5*t**2 - 2*t**2 - t**2.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 18*l + 144. Calculate q(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -7*i**4\/24 - 7*i**3\/6 + 6*i**2. What is the tens digit of t(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1252)\/(-8))\/(1\/2). Let z = t - 170. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3966849?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 292*z - 5040. Calculate x(17).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.1 in 613, -4\/7, -2\/3, 11\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -148019213 - -148019220.55489928. Let h = z - 9.0549. Let o = h - -1.5. Round o to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*r**2*w**2 - 180*r**2*w*x + r**2 - 4722*r*w**2*x + r*w*x - 4*r*x + 3*r + w**2 wrt w.\nAnswer: 28*r**2 - 9444*r*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 6:45 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 2*t**4\/3 - 7*t**2\/2 + 2*t. Differentiate g(u) with respect to u.\nAnswer: 16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**4 + 3 - 4 + 4 - x in the form d*x**4 + j + t*x**3 + p*x + n*x**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 10 - -9 - (13 + (-15 - -4) + 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -31, -3 in decreasing order.\nAnswer: 5, 1, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 1. Let f(g) = -g**2 - 8*g + 2. Let t(c) = f(c) + 3*j(c). Let y be t(-5). Let m(k) = -3*k - 1. Let q(i) = i**2 - i. Determine y*q(d) + m(d).\nAnswer: -d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + 3 + 1 - -1. Suppose b = -f + 7 - 4. Find t, given that -3*t - 211*t**f + 209*t**3 + 2*t**2 + t - 6*t**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**5\/5 - 340*u**4 - 186424*u**3\/5 - 1221368*u**2\/5 + 186428*u\/5 + 1223068\/5 = 0. What is u?\nAnswer: -209, -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*x - 26*x + 7*x - 21*x**4 wrt x.\nAnswer: -252*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56609063 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - -5 - (3 - 2). Suppose 2 = -r + s - 0, -r + y*s = 17. Factor i**5 + 3*i**4 + r*i**3 + i**2 + 1 - 1.\nAnswer: i**2*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10270744 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-926840)\/19176)\/((-1)\/3*5)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 340*g*h*r**3 - g*h*r - g*h - 42868*g*r**3 + 61*g*r - 12*g - 7*h*r**2 + 37290*h*r wrt r?\nAnswer: 2040*g*h*r - 257208*g*r - 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or 0?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8016 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 7 - 9 - 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2009 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47684666 to the nearest integer?\nAnswer: 6905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*m - 2 + (-m + 0*m + 3*m)*(1 - 3 - 9)*(2 - 1 + 3) to j*m + p and give j.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 + -60. Let o(p) = p**2 - 2*p**2 + 2*p**2. Let n(u) = 3*u**2 + 3*u - 1. Let q(h) = -n(h) + 5*o(h). Give q(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 17*p**2 - 2. Let o be w(17). What is the least common multiple of (-36)\/o + 20\/5 and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 31*l**2 + 2. Let a(s) = -12*s**2. Determine a(o(n)).\nAnswer: -11532*n**4 - 1488*n**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 22, 29, 36, 43, 50?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*m + 8. Let z(c) = 3*c**2 + 5*c + 1. Let p(s) = -s**2 - s + 1. Let x(y) = 2*p(y) + z(y). Is x(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/a**11)\/a))\/(a*a**(-1\/10)*a*a))\/(a**(2\/3)*a*a*(a\/(a**10*a*a))\/a*a) assuming a is positive.\nAnswer: a**(523\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116 and 2264.\nAnswer: 65656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (341\/(-55))\/(12*(-6)\/90).\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 54 (b) 5 (c) 3\/25 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 12) to base 3\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10856.4 + 10856. What is the fifth smallest value in 5, -0.2, j, -1, -203\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 1186949?\nAnswer: -237389.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/7 - 296*q**2\/7 - 2536*q\/7 + 6240\/7.\nAnswer: 2*(q - 156)*(q - 2)*(q + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = -3*x + 8*x + 6, 4*x = -5*g - 23 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*i = 460 + 149 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8850726?\nAnswer: 2, 3, 491707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/5 + ((-4)\/(-3) - -1). Factor 1\/3 + 0*l - o*l**2.\nAnswer: -(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 7*t**2 + t + 9. Let r be d(-7). Sort r, 3, 5 in descending order.\nAnswer: 5, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2820?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - z**2 + z**2)*(8*z**2 - 18*z**2 + 2 + 11*z**2 - 11*z).\nAnswer: -2*z**4 + 22*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -3*q**2 + 2*q + 64. Let n(f) = 7*f - 2. Let p(r) = r**3 + 7*r**2 - 8*r - 3. Let c be p(-8). What is c*b(l) - 2*n(l)?\nAnswer: 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j = -3*j - 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 214396 and 32984?\nAnswer: 428792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 45\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -65622, -131244, -196866, -262488, -328110, -393732?\n\"Answer: -65622*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 204594 divided by 366\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81897, -163871, -245843, -327813?\nAnswer: -409781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12 - 1\/(-2)*-4. Suppose -13*c + u*c = -9. Solve 8*x + 20 = c*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 483 + -483. Let n(d) be the third derivative of 0*d**3 - 5\/6*d**4 + 1\/12*d**5 + y*d + 0 - 32*d**2. Factor n(c).\nAnswer: 5*c*(c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 2:15 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2111110 - 10121120200?\nAnswer: -10112002020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11011 + -11008. Which is the biggest value? (a) 0.3 (b) f (c) 0.25 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1520 and 45\/988?\nAnswer: 19760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 179952716 + -179952707.9999981. Let o = t + -8. Round o to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 166 + -260. Which is smaller: u or 1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 5*m**2 - 9*m. What is the smallest common multiple of d(-4) and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m**2 - 6. Let n(w) = 0*w**2 + 8*w**2 - 3*w**2 + 7. Let u = -528 + 530. What is u*n(a) + 3*k(a)?\nAnswer: -2*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-7491)\/(-495) + 15*-1\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u + 9. Let x be j(0). Suppose -x*m + 17*m = 16. Solve 0 = 5*a - v + 5, a + 3*v - m = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 7:04 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -892 or -14257\/16?\nAnswer: -892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 8*f - 30. Let o be (8\/(-3))\/(f\/9). Let p(l) = -o*l**2 + 0*l**2 + 4 - l**3 + 4 + 5*l - l**2. Determine p(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 2. Suppose 0 = 72*t - 660 + 2244. Determine a(t).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + (21 - 18) - 4 - -10?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 9*q - 10*q + 39, 5*q - 175 = 5*j. Suppose k + 4*o = 68, 7*k - 176 = 4*k + 2*o. Calculate the least common multiple of k and q.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-69)\/(-8)*(-4 - 56\/(-15)) and 177\/30 - 2\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 64*(-2 - -1)*1\/(-2). Suppose u = 10*i - 2*i. Find the second derivative of -65*l + 13*l**i - 3*l**4 - 44*l + 134*l wrt l.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/1131? (a) 1\/4 (b) -3.525 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -10*a + 18. Let g be i(-7). Let y = g - 84. Let f be 4*(-8 + 7)*(-2)\/y. Solve 0 = f*t - 0*t + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -261 - -1309\/5. Which is the third biggest value? (a) l (b) -0.6 (c) -4 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 11:34 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6221850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16213 is divided by 497.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24.1 - 0.354911.\nAnswer: -24.454911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002288107 to seven decimal places.\nAnswer: -0.0000229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + 0*v - 3*v)*(-38*v + 21*v + 5 + 20*v + (0 - 1 + 2)*(2*v + v - 8*v)) in the form y*v**2 + f + j*v and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + sqrt(500) + 4*(sqrt(500) + 1) - 3*(sqrt(405) + -5 + 1*sqrt(405) - sqrt(405) - sqrt(405))).\nAnswer: 17 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.8 + -4.7. Let b = -2.5 + z. Let s = -0.3 + 1.3. What is the closest to s in b, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + -1802?\nAnswer: -17a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 729769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -121*l. Let o(v) = 9*v. Let g(z) = 4*z. Let w(i) = 6*g(i) - 3*o(i). Give w(y(t)).\nAnswer: 363*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 4*i - 2. Let q be 9\/(-6)*(-10)\/3. Let x be l(q). Let m = 329 + -333. Put m, -5, x in decreasing order.\nAnswer: x, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.7, -2, 36\/13, -2\/9, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(600))\/(-4*sqrt(20)\/sqrt(5)))\/((2*sqrt(297))\/(2*sqrt(44)\/sqrt(4))))**2.\nAnswer: 25\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*o - 15, 5*o + k - 25 = -3*k. Suppose 356*y = 358*y - 24. Solve -2*h - g + 3 = -6, -h - y = -o*g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q = 104. Suppose 4*c + 4*o = -60, 5*o = 1 + 4. Let k = q + c. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6141 and 6140 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, d: 4, g: 3, i: 8, l: 1}. What is prob of sequence dil?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9059 - 9061.2. What is the biggest value in 1, -3\/5, h, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 7:47 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7153648 to the power of 1\/2, to the nearest integer?\nAnswer: 2675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -510028 (base 11) to base 7\nAnswer: -6653312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -641324, -641346, -641382, -641432, -641496?\n\"Answer: -7*p**2 - p - 641316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-6) - 133\/(-38). Let t(x) be the third derivative of 0*x + 1\/12*x**b + x**3 - 1\/60*x**5 - 4*x**2 + 0. What is t(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -118104 bigger than -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2209 + 2209.1. Which is the nearest to 0? (a) 5 (b) m (c) -1\/4 (d) 13\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 2*d - 1221 - 1398, -a - 4*d + 559 = 0. What is the lowest common multiple of a and 1271?\nAnswer: 21607","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 576446?\nAnswer: 576446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06551109 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14119546 and 3025617.\nAnswer: 42358638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/260*-13*16\/12*3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106112967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-86)\/(-69) - 1 - 1 - (-18788)\/28182.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2284*p + 6153 = 16725 + 105912 for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((9 - (5 + -6)) + -2 + 14).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 498892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -5\/2 (c) -0.2 (d) -13.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 184 and 20.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17176?\nAnswer: 2, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 342216 and 961128.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(2\/(-1 + 33)). Let h = -11 + k. Suppose -h*m - 3*v = -2, -3*v = -m + v + 5. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 542619 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -109, -253, -459?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6039 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 802*b + 19892. Give c(-25).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + y + 4*y)*(-2*y**3 - y**3 + 0*y**3) + 1 + y**4 - 1 + (171*y**3 + 4*y - 4*y)*(0 - y + 0).\nAnswer: -176*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/8 - 23*q**3\/4 - 545*q**2\/8 - 125*q\/2.\nAnswer: -q*(q + 1)*(q + 20)*(q + 25)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 7 = -3. Suppose -42 = -4*v - 5*i - 13, -3*i + 14 = -v. Suppose 2*c - 3 - v = 0. Is r smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89413 - 43108 = -2205*r for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/sqrt(144) - sqrt(40)\/sqrt(288) - (sqrt(125) - (sqrt(125) - sqrt(125)*-3*-4))*-4.\nAnswer: 2881*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 - 136*w - 271. What is t(-66)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**3\/6 - 2*h. Let j = 0 + 2. Let t(b) = 27*b**2 + 28*b**j - 50*b**2. Give t(v(f)).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 875, 1752, 2629, 3506, 4383?\n\"Answer: 877*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1968482?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*i**2 + 2085*i\/2.\nAnswer: i*(68*i + 2085)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (0 - -14 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3980 and 135760?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 11 + 69 = 0. Suppose 0*g - j = -g. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21415?\nAnswer: 5, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.02, -0.3, 63?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 9*v**2 - 5*v + 3. Let u be (12\/9 + -2)\/(144\/(-216)). Calculate l(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 10 = 4*i, 17 = -8*i + 3*i - 2*o. Let l(b) = b + 3. Let y be l(0). Suppose -13 = y*u - z, -u + 0*u = -z + 3. Sort u, i, 2 in descending order.\nAnswer: 2, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o + 13. Let w be l(6). Let v = -4 - w. Calculate the remainder when 36 is divided by (2 - 3) + v - -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 313705?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2. Let l(s) = -62*s - 31. Give l(p(k)).\nAnswer: -186*k**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4171 - -4017.841?\nAnswer: -153.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*-1*2 - sqrt(65) - sqrt(65)*2*-3)\/((-1*sqrt(245) + sqrt(245))*3 + (sqrt(245) - (sqrt(245) + -2*sqrt(245)*-3))))**2*-4.\nAnswer: -13\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 137393 and 126.\nAnswer: 17311518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -308733 divided by -2?\nAnswer: 308733\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/791 and -56\/339.\nAnswer: 2373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 96654000 rounded to the nearest one hundred thousand?\nAnswer: 96700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31022?\nAnswer: 2, 15511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-532)\/(-114)*33\/(-110).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 154 + -115. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -80.237 to the nearest integer.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 545 - 540. Solve 0 = j - x*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 42, 8\/9, -1618, 0.01 in increasing order.\nAnswer: -1618, 0, 0.01, 8\/9, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -357*m - 6*m**3 - 13*m - 12*m**3 + 195*m**2 + 13*m**3.\nAnswer: -5*m*(m - 37)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 2. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**4 - 3*k**3 - 3*k**2 + 6. Let v(u) = 6*u**2 + 1 + 7*u**3 - 4 + u**2 + 3*u**4 - 10. Let x(l) = -7*f(l) - 3*v(l). Differentiate x(h) wrt h.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 12:13 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1879416 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14766*g + 9712*g - 10415*g + 26145*g + 15300*g.\nAnswer: 55508*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -393, 4, 3 in decreasing order.\nAnswer: 4, 3, -393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**3 - 6*p**2 + 837*p - 4860 = 0.\nAnswer: -20, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-840)\/25 + 34)\/(1\/((-1165)\/(-2))). Solve -208*s - 75 = -k*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 104*o**2 - 16*o - 8471. Let k be y(105). Calculate the highest common divisor of k and 570.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 848376 divided by -9?\nAnswer: -94264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lssslssisssssisssli. What is prob of sequence sl?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 56, 112, 172, 236, 304?\n\"Answer: 2*p**2 + 50*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.2322 - 7.0722. Let l = 4\/7 + -8\/7. Let m = 1.2 + -1. Sort l, m, c.\nAnswer: l, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 + -30 + (-62)\/10)\/(4 + 512\/(-140))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, -2, -5, 61, -88\/79?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2 - 3 + 0 + 5 + (-1 + 2 + 0)*(5 - 2 - 2) - 1 - 1 + 1)*(-6*s - 3*s - 8*s) + (4 - 2 - 4)*(0*s + s - 2*s).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/21688 and 157\/7680?\nAnswer: 20820480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/15))\/z*z**(-1\/3)\/z)\/(((z**(-1\/3)*z)\/z)\/(z**(-2)*z)) assuming z is positive.\nAnswer: z**(-28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -35. Suppose 5*p - 672 = 3*u, -u - 269 = p - z*p. Let w(s) = 3*s - 3. Let v be w(6). What is the greatest common factor of v and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 2. Let d be p(-1). Let w(k) = -60*k**3 - 1. What is the remainder when w(d) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1183.4 - -1183.41. Let k = -0.5 + 0. Which is the smallest value? (a) z (b) 0.5 (c) k (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 744.4125 litres to millilitres.\nAnswer: 744412.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uoguuguoo. What is prob of sequence uo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1528, -1481, -1410, -1315?\nAnswer: -1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -411\/596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21\/116 - -2\/29. Let m = 0.0293 - 5.0293. Let b = -1 - -2. What is the closest to -0.1 in j, m, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1362 by -6.\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1825 = -40*h + 65*h. Let z = -30 - -49. What is the remainder when h is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 greater than 2\/153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 26 - 6 = 5*l, 44*l = -2*b - 348 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10074068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 3232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74*j**4*p - 39*j**3*p + 3185*j**3 + 2*j**2 - 36*j*p + 520*p + 1740 wrt j.\nAnswer: 1776*j*p - 234*p + 19110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 8*t**2 + 6. Let h be p(-8). Suppose -2*r + h*d = 2*d - 30, 2*d + 4 = 0. Let j = r + -6. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(3*sqrt(12)*2)*-6 - (sqrt(56)\/(sqrt(800)*-2) + -2).\nAnswer: -19*sqrt(7)\/20 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147808 divided by -149.\nAnswer: -992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -174 (c) 9 (d) -7 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 19*h**2 - 5*h. Let a = -1 - -2. Let m(j) = -j**2 + j. Let l(q) = a*w(q) + 6*m(q). Find the second derivative of l(g) wrt g.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d - 5*d + 3*d)*(-42298*d**2 + 891200480 - 891200480) to x + i*d**3 + c*d + o*d**2 and give i.\nAnswer: 42298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 19098*j - 362582. Calculate l(19).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5875 + -3448. What are the prime factors of f?\nAnswer: 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22376 and 632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3707498 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, 4, 5, 1\/37, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10725, 21435, 32121, 42771, 53373, 63915?\nAnswer: 74385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-130)\/(-14) + -8 + 0 + -1\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115 (base 11) to base 15.\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**8\/10920 + c**6\/780 - c**5\/390 - c**3 + 2*c. Let d(n) be the second derivative of m(n). Factor d(h).\nAnswer: -2*h*(h - 1)**2*(h + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -5*g**3\/6 + 3*g**2 + 7*g. Differentiate c(x) wrt x.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4\/7 (b) 19 (c) -3\/4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p = 0. Suppose p*s + 2*s - 170 = 0. What are the prime factors of s?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c38 + 5946?\nAnswer: 4a0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 228905 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 22 = 2. Suppose -w = -3*s + p*s - 4, 2*w - 4 = 0. Suppose -5*j + s*z + 98 = 0, 2 = -5*j - z + 88. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8405736, 16811515, 25217294, 33623073?\nAnswer: 42028852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 + (6 - 6) + 17. Find the third derivative of 19*z**5 + 42*z**2 + 4*z**4 - 18*z**5 + j*z**2 wrt z.\nAnswer: 60*z**2 + 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 46 = -38. Let f(z) = -22*z**2 - z + 1. Give f(k).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (700\/150)\/(6\/(-72)*-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 4*l**2. Let q be y(3). Calculate the remainder when 29 is divided by 3\/(q\/6) - -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4*i + 10 = 3*d, 5*i = -2*d + 9. Put d, 1, 4 in descending order.\nAnswer: 4, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78 - -79. Let s be ((-2)\/5)\/g + (-52)\/(-5). Solve 0*x = 5*x - s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**3 - 2*i**2 + 7*i - 3. Let r be b(3). Let k = r + -4. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (10 - 280\/25)\/((-2)\/215)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -8*f + 97197 - 97157, -5*f + 25 = -4*j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639748259.\nAnswer: 19, 33670961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 7:14 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 10:41 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1, -239567, 0.3, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33874296?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -2453?\nAnswer: 2450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62389619 is divided by 5717.\nAnswer: 5715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + 15. Suppose -3*g - 2*k - 2*k - 42 = 0, 5*g - k = -70. Let j = t + g. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/7)\/((-86)\/(-301)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42211 - 42477 = -14*n for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 4*h + 30 = 0. Suppose h*y - 2*y - 16 = -2*f, -4*y + 16 = f. Factor 1\/2*d**4 - d**2 + f*d + 0*d**3 + 1\/2.\nAnswer: (d - 1)**2*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + ((-1522)\/231 - -1). Let o = h + -6\/77. Factor -4\/3*f**5 + 0 + 0*f + 0*f**2 + 0*f**3 + o*f**4.\nAnswer: -4*f**4*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(3\/2)\/w*w)\/w)\/(w*w*(w\/(w\/(w**(2\/3)*w*w)))\/w) assuming w is positive.\nAnswer: w**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**4\/4 - 56*p**2. Let n(o) = -9*o**2. Give v(n(j)).\nAnswer: 54*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1265514, -1265522, -1265536, -1265556, -1265582?\nAnswer: -1265614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -34*q**2 - q**3 + 0*q**3 + 5*q + 16 - 39*q - 49. Let h be u(-33). Solve h*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/10 - 1)*-4. Let v(r) = r**2 - r + 1. Let x(w) = -17*w**2 - 6*w + 4. Let n(u) = 6*v(u) - x(u). What is the remainder when n(i) is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 + 2*r**2 + 88 + 158 - r**2.\nAnswer: 2*r**2 + 246","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 1:41 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 42*p**2 - p - 1. Suppose 0 = d - 4*c - 26, -4*c + 0*c = -2*d + 32. Suppose d*i = 2*i - 4. What are the prime factors of g(i)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 + 0*l**3 + 23*l**3.\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6537, 12335, 18131, 23925, 29717?\nAnswer: 35507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2946, 9679, 20954, 36813, 57298, 82451, 112314, 146929?\n\"Answer: 7*r**3 + 2229*r**2 - 3*r + 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(8\/4)\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, -0.2, 4, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152 + -153. Is -4 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - (sqrt(245) - 5*(1 + sqrt(245))))**2 - ((sqrt(245)*1 + sqrt(245) - sqrt(245)) + 0)**2.\nAnswer: 350*sqrt(5) + 5905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 15. Calculate the lowest common multiple of (-2)\/z + (-218)\/(-6) and 0 + 1 - 1*-15.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/14*(-5 + 9))\/(30\/7)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*t = 7 - 14, 2*p + 2*t = 12. Solve -p = 5*b, -c + 1 = b + 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1\/((-155334)\/(-698760) + 10\/(-45))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 12:12 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1281974*z - 1281971*z + 2563942*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 570541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18.7 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 996 = -3*w, -5*k - 1331 = -4*w - 0*k. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - 4 + 4)*(0*m**2 + 3*m**2 - m**2) + 678*m**4 - 1844*m**4 + 777*m**4 + (-4*m**4 + 2*m**4 + 3*m**4)*(4 - 5 + 2).\nAnswer: -392*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s**4 - 112*s*y**2*z - 13*s*y**2 - 1299*y**2*z + y*z + z + 2 wrt s.\nAnswer: -8*s**3 - 112*y**2*z - 13*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 648 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 73 (b) 0 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(855\/(-27))*(-20)\/18.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12370 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*b + 5410 + 4301 = 0. Let k = b + 54. Is k < -196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/276 and 67\/9798?\nAnswer: 19596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 4*t - 2*t + 2*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -731 + 731 + 400*k + (-1 + 2 + 0)*(3*k - 5*k + 3*k) + k + k - k + 3*k - k - k + 5*k - 4*k - 2*k + 2*k - 2*k + k to the form n + y*k and give y.\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 9*g**2 - 6*g + 51. Let b be d(9). Let m be (-9)\/b*2 + 14. Solve -m = -6*y + 11*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, f: 10, v: 1, m: 1, s: 4}. What is prob of sequence fp?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x + 5. Let w(s) = -22*s**2 - 24*s**2 + 50*s**2 - 20*s**2 + 17*s**2 + 21*s + 25. Determine 11*o(f) - 2*w(f).\nAnswer: -2*f**2 + 2*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*t - 3*t + 4*b = 145, -b + 10 = 3*t. Let m(o) be the third derivative of -o**5\/60 + o**4\/6 + o**2. What is m(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2952 divided by -72\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -153*h**3 + 4548?\nAnswer: -459*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102200 - -222010011?\nAnswer: 221200111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (90\/(-25))\/(147\/700). Let d = -164\/7 - v. Let r = -1723 - -17149\/10. Calculate the common denominator of d and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13986 (base 12) to base 13\nAnswer: -c585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1916 = -4*p - x, x = -3*p - 2*x + 1437. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42170 is divided by 168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53 + 150 - 90) + (8 - 4 - 5) + 45?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - 12. Let r be m(9). Suppose -2*v - 6 + 0 = 3*p, 2*v + 5*p + 10 = 0. Suppose 10 = 10*z - v*z. Solve 0 = g - z + r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 8. Let m = b - -15.8. What is m rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -345300.783933 - 23.19?\nAnswer: -345323.973933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -14*j**2 + 40*j - 42. Give t(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 128038446 and -2.\nAnswer: 128038444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16421778*p**3 + 5014 - p**2 + 5257*p**4 + p**2 + 16421778*p**3 wrt p.\nAnswer: 21028*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - i - 8. Let t = -29 - -34. Suppose -2*k = -m + 8 + 3, 0 = t*m - 5. Let r be 0\/(k*2\/(-5)). What is s(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8 - -1249*(-10)\/(-40). Calculate the greatest common factor of q and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 + 10 - 15*v**5 + (v**2 - 2*v**2 + 0*v**2)*((-v + 2 - 2)*(v**2 + 7*v - 7*v) - 4*v**3 + v**3 - 3*v**3).\nAnswer: -8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3 = -2*k, -11*j - 10 = -5*k - 6*j. Which is the smallest value? (a) k (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 31*v**2 - 26*v - 119. Give d(30).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 409*v**4\/6 - v**3\/6 + 269*v**2\/2 - 618*v - 1. What is the second derivative of t(l) wrt l?\nAnswer: 1636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**4\/4 + 2*h**3 - 7*h**2\/2 - 2*h + 400. Let i(m) = -m**2 + 11*m - 7. Suppose 6*j - 33 = 3*j. Let c be i(j). Give n(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -64 and -0.8.\nAnswer: 51.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 657454347.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 + 60. Calculate the remainder when 27 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5170912, 10341831, 15512750, 20683669?\n\"Answer: 5170919*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*m + 49 + 19 = 0. Solve y + 1 = f, -4*y - f + 10 = -m*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/3360 + -137\/480. Suppose 0 = s + 2*s - 15. Suppose -2*c + 3 = -s. Put c, u, -0.4 in decreasing order.\nAnswer: c, u, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*y**5 + 324817287*y**3 - 14574589*y.\nAnswer: 40*y**3 + 1948903722*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*m**4 + 38*m**4 + 54*m**4 + (-m + m + 2*m)*(0*m**2 + 0*m**2 - m**3) + 3*m**4 - m**4 - 4*m**4 + (-3 + 1 + 1)*(-2*m**4 - 6*m**4 - m**4).\nAnswer: 104*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93 and (17 - 59)\/(2\/(-124)).\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3827 or 3853?\nAnswer: 3827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + h - 13, -v + h - 48 + 108 = 53 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 122772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -6*t**2 + 0*t**3 + 0 - 7\/12*t**4 + 79*t + 89\/20*t**5. Find the third derivative of h(r) wrt r.\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/17)\/r*r*r\/r**4*r*(r**(1\/4))**(-41))\/((r*r*r*r*r\/(r\/r**(-2\/3)))**(-28\/5)*r**0*r*r\/r**(-4\/5)) assuming r is positive.\nAnswer: r**(4829\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 4*n = 24. Let t be ((-21)\/n - -2)\/3. Let l = 41 + -41.4. What is the third smallest value in -10, l, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*k - q + 1144 = 0, -k = -4*q - 1124. Let j = -801 + k. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9450.9 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 21. Let u = -53 - -50. What is the fourth smallest value in -2\/5, 5, c, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8078 is divided by 157.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*r - 42, z = 3*r + 3 - 1. Let j be 14\/z + (-5)\/(-20). Is j at least as big as 12\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 74629 + 2?\nAnswer: 74631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10452*r + 187532*r**2 + 10452*r.\nAnswer: 187532*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 17*p - 23*p. Let m(y) = 2*y + y**3 + 2 + 5*y - 5*y. Let b(n) = -12 - 4*n + 11*n + 4*n**3 + 19. Determine p*b(q) - 21*m(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (112\/(-10))\/((-19)\/95). Suppose s*v = -9 + 9. Solve v*o - 3*l = -5*o + 11, 0 = -l - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 70\/(-385) + (2 - (-110940)\/88). Let s = 1234 - u. Find the common denominator of (2\/(-24))\/((-4)\/(-27)) and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 0*t - 2*o + 202, 3*t - 556 = 4*o. Let a = 24 - 20. Suppose a*f - 3*r - t = 2*r, f = 2*r + 51. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55361 or 55412?\nAnswer: 55361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -0.22129\nAnswer: 1.10645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 12 = 5*z - g, 0 = 2*z - g - 7. Let y = z - 2. Find the second derivative of -4*v - v + v**3 + y*v wrt v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102624 = 2387*n - 270*n + 2159*n for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 6\/61, -0.5, 28.3, 2?\nAnswer: 6\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/119095220 and 63\/95276176.\nAnswer: 476380880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-31)\/(-62)*37?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*b - 11*b + 130*b = -513 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 2*f + 2, 5*x = -5*f + f + 33 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 366 - 98. What is the greatest common divisor of p and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -23*l**4\/24 - l**3\/6 + 1573*l**2. Let i(r) be the first derivative of r**2\/2 + 1. Give i(t(v)).\nAnswer: -23*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.169 - -230.831. Let a = 229 - t. What is the closest to 2\/7 in -1\/8, a, -1.3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -50506846146384.\nAnswer: 50506846146383.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 345*n - 2812 + 2812 + 113*n + 307*n to the form d*n + i and give d.\nAnswer: 765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/5)\/(9\/(-6))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1287 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73*g**3 - 2*g**2 - 1383*g + 1854862 with respect to g.\nAnswer: -219*g**2 - 4*g - 1383","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 21 = 2*x - 17, -3*x = 4*f - 71. Let y be 6\/5 + x\/5. Let u(g) = g**2 - 7*g - 5. What is u(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0 - 4. Suppose -n*l - 6 = -l. What is the remainder when (-56)\/(4\/l) - -1 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 2\/5, -130\/11, -12?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 163 - 11. Let f = 128 - v. Suppose 94*c + 30 = f*c. Let o(i) = 2*i - 6. Determine o(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034849609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 3*j + 5, -4 = -2*k - j + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 11:47 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -21*i**2 + 84*i - 2. Let j(r) = 36*r**2 - 167*r + 4. Calculate -5*g(q) - 3*j(q).\nAnswer: -3*q**2 + 81*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 282\/(-72427)*23*(-1)\/3. Let l(g) = -g + 1. Let c be l(1). Is c smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 3745*y - 419760.\nAnswer: 5*(y - 848)*(y + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/81, 2\/9, -3\/38, 0.4038, 5 in decreasing order.\nAnswer: 5, 0.4038, 2\/9, 1\/81, -3\/38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1658 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: Calculate prob of sequence qw when two letters picked without replacement from {m: 1, y: 7, q: 1, w: 1, u: 5}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*d - u, -4*d + 3*u + 230 = 231 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*m + 15*m + 30. Let j be 2\/m*84\/2. What is the units digit of j*16\/(4 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*d - 3 + 3 + 2*d.\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241305?\nAnswer: 3, 5, 16087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 4)*(-1 + 1 + m) - 3*m + 2*m - m + (-17*m + 30 - 30)*(-2 + 0 - 1) to the form p + x*m and give x.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -13. Suppose -23 = -4*p + d. Is 9 a factor of (-3)\/p + 204\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 28. Let n be ((-33)\/(-4))\/(3\/l). Let w = -16 + n. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((5*sqrt(44)\/sqrt(4) + sqrt(11) + sqrt(11))**2 + sqrt(11) - 1*(sqrt(11) - ((sqrt(176))**2 + sqrt(11) - sqrt(11)))).\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 15*t - 2)*(0*t + 0*t + t**4).\nAnswer: -15*t**5 - 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 330 and 1254.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 91?\nAnswer: -4\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.409776ml to litres.\nAnswer: 0.006409776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxbd when four letters picked without replacement from ddxvbvgdvbhh?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-6\/11))**(-20)\/(f**3\/f)**(-2\/17) assuming f is positive.\nAnswer: f**(-1656\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggdgddgggggg. What is prob of sequence dg?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, s: 5}. Give prob of sequence sxx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 1 = -15. Suppose 0 = -x*t + 20, -2*z - 2*t - 9 = -21. Let v(w) = 121*w + 1328. Let q be v(-11). Put z, -11, -1, q in ascending order.\nAnswer: -11, q, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.425 to zero decimal places.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 629.3 - 629. Is 3\/2 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201199 is divided by 100117?\nAnswer: 965","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-15) - 1\/((-30)\/72078). Suppose -2*d + 5*m + z = 352, 4044 = 4*d + 4*m. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 - 104. What are the prime factors of (28\/b)\/((-24)\/612)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -319483, -319683, -320013, -320473, -321063?\n\"Answer: -65*t**2 - 5*t - 319413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q - 31 = 53*q - 319 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m. Suppose -3 = -2*w + 1. Let h(r) = -5*r**2 - r**w + 3*r**2. Determine f(h(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, o: 14}. What is prob of sequence aa?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijeexejteteeeetei. Give prob of picking 1 j and 1 t.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135 + 275*a - 264 - 4*a**3 + 128 + 379*a - 240*a.\nAnswer: -4*a**3 + 414*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*t + 20, z - 2*z + 5*t = -4. Let c = 10 + -36. Let a = -21 - c. Solve v + z*v + a = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.227 + -18453.295\nAnswer: -18453.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 11:17 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**4 + 6*h + 2. Let n(x) = -2*x**4 - 13*x - 5. Let l(d) = -5*b(d) - 2*n(d). Find the second derivative of l(z) wrt z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 42 + -21 + -41?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.225, 574, 4.\nAnswer: 1.225, 4, 574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67115, 268371, 603799, 1073399?\nAnswer: 1677171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -5. Suppose -y*m + 31 + 109 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 36*j + 5. What is g(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2706474?\nAnswer: 2, 3, 19, 23741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahfaaatkhhkffzzazfff. Give prob of picking 2 a and 1 h.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -186567 + 144?\nAnswer: -186423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 - 3*r**3 + 123*r**2 - 123*r**2.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 4:27 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17052 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -251 + 251. Is u not equal to -138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56364 and 178332?\nAnswer: 10878252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3264)\/(-1163616))\/((-1)\/46)?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5 + 497*l**4 - 49932*l**3 + 1001196*l**2 - 1806624*l = 0. Calculate l.\nAnswer: 0, 2, 24, 102, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-18)*(-2)\/(-10)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, 4, 1, 4819, -5 in decreasing order.\nAnswer: 4819, 4, 1, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 17. Let y(i) = i + 1. Let s(d) = a(d) - 2*y(d). Is s(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -v - 4*k - k, -5*v + k = -84. Calculate the remainder when 63 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 38*t + 8. Let r(l) = 31*l + 7. Let j(z) = 5*p(z) - 6*r(z). Give j(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -6, -0.1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n + 5. Let k(p) = -p - 3. Let a(z) = 6*j(z) + 11*k(z). Let f be a(6). Suppose 0 = -2*y + y + f, -q - y = -9. Solve -5*x - 1 = -q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 - -1673971.14664?\nAnswer: 1673972.94664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i. Let u(t) = -t + 2. Let o(v) = -4*p(v) + u(v). Let x(n) = -6*n - 5. Suppose 0 = 208*m + 363 + 885. What is m*x(a) - 13*o(a)?\nAnswer: -3*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -45144 divided by 684\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 6 + 1 + (40 - 46) + -7?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9072 and 1620?\nAnswer: 45360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.37 - -0.17. Let g = -2 + 3. Is q bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -1591 - 213. Suppose 5 = -q, 0 = 4*a - 8*q + 6*q - o. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 237739662 a multiple of 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*(-60)\/320?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/55)\/((-10)\/(-55))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12528668?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11\/88419 - 58853\/946879071. Let r = 5566174005366222619\/642540 - 8662766528729. Let g = r - i. What is the common denominator of g and -91\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = t + 24, 2*t - 7*t + 13 = d. Let g(o) = -o**3 - 6*o**2 + 6*o + 2. Let c be g(d). Does 13 divide 36 - (-3 + c\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 322 = 678. Let v = n - -471. 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 remainder when 188525 is divided by 1430?\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2\/3 (b) -3 (c) -0.17 (d) 2\/433\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 1. Let x(o) = 4*o + 6. Give -6*i(y) + x(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3029 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: What is 0.00020386 rounded to six decimal places?\nAnswer: 0.000204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*p**2 - 67*p**2 + 75*p - 74*p**2.\nAnswer: 3*p**2 + 75*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 5*l**2 + l. Let j be (15\/(-10))\/(3 - 27\/12). Let a(q) = q**3 + 2*q**2. Calculate j*h(w) - 5*a(w).\nAnswer: -3*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -332\/7 + 47. Let z(y) = y**3 - 5*y**2 - 1. Let t be z(5). What is the second smallest value in t, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u - 17587 = -144207. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573)*1 - sqrt(13)) + sqrt(130)\/(sqrt(10)*2) + -4 + sqrt(52)*2)**2.\nAnswer: -116*sqrt(13) + 10997\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 26 - 8. Let h be 1\/(-2) - (-21)\/j. Let t = h + 11. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a minute in seconds?\nAnswer: 795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 413 + -1337. Let y = 928 + q. Let c = 2 + -2. What is the nearest to c in y, 0.82, 5?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5084 - -5103 - (2 - 1 - 2)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*(20 - (-303)\/(-15))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17906, 35810, 53712, 71612, 89510, 107406?\nAnswer: 125300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1329261 millilitres to litres.\nAnswer: 0.0001329261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 + l**4 - 3*l - 2 - 8*l + l + 9*l to d + g*l**4 + j*l**2 + z*l + w*l**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1349, 2654, 3959, 5264, 6569?\nAnswer: 7874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 8*n**2 - 9*n + 6. Let s be a(9). Suppose -16 = -m + 5. Suppose -s*j - 3*f = -j - 48, 2*j - m = -3*f. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2370*-55\nAnswer: -130350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136076*p + 3*f = -136094*p + 219, 2*f = 4*p + 66 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-196)\/(-49) + (86\/(-14) - -2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538*r - 4802 - 1476 = -360 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1. Suppose 3*a - 5 = -k*p - p, -5*p + 25 = -5*a. Let h = 8 - p. Solve h*x + 5 - 2 = -t, 1 = -x + 4*t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5 - 2.4. Let v = n + 1.9. What is the second smallest value in -3, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r - 9*r + 20 + 22 - 11*r + 113.\nAnswer: -7*r + 155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 22 = 4*u, -4*u - 4 - 16 = 0. Solve t*a - 2*r - 3*r + 23 = 0, 0 = 4*a - 2*r + 22 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 12 = 4*j, -4*q - 207*j + 3 = -208*j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 123.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 31 = -1. Let h(u) = -o*u**3 + 14*u + 3*u**2 - 3 + 2*u**2 - 4 + 3*u**3 - 22*u. What is h(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, k: 7, l: 7}. Give prob of picking 1 k and 1 q.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 258231 - 1782590 = 1142584. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**2. Let m(k) = -321*k + 2. What is m(w(n))?\nAnswer: 1284*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -91. Suppose -r = -2*o + h, -o + 9*h = 4*h - 41. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/2)\/(19\/2). Let r = y - -11\/76. Sort r, -11, -1\/8.\nAnswer: -11, -1\/8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 170, 262, 354, 446, 538?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124500 divided by 6.\nAnswer: -20750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 4*i + 3. Let g be 4\/11*(-110)\/(-20). Calculate r(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147\/296 - (-2)\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**3 - m**3 + 15*m**3 + (2 + 0 - 3)*(-4*m**3 - m**2 + m**2).\nAnswer: 23*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1991502 divided by 3569.\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + o + 89 = 0, -o + 5*o = -5*r - 101. Let n = 3 - r. Let z = n + -19. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4433, -4454, -4397, -4262?\nAnswer: -4049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -32. Let s = 234 + i. Suppose 0 = 9*z - 7*z - s. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -40270+0\nAnswer: -40270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 5:13 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 253828.2 tonnes?\nAnswer: 253828200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) 0.0498 (c) -3969 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(49) - -3*sqrt(49)*1) + sqrt(3969) + sqrt(3969)*2)\/(((sqrt(378) - 5*sqrt(378))\/sqrt(9))\/sqrt(6))*1.\nAnswer: 155*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a millennium in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 - 2*d - 2. Give o(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 5*s**2 - 17*s - 55. Is g(-22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122423 is divided by 122408.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 124155 and 8.\nAnswer: 993240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 29*w**7\/105 + w**6\/40 - 35*w**4\/6 - w**3\/2 + 2*w**2 + 134. Find the second derivative of q(u) wrt u.\nAnswer: 696*u**2 + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*a + 2. Suppose -5*j + a*u - 57 = 0, -4*j + 3*u = -u + 44. Let s = j + 15. Solve s = 5*y - 18 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 36495 = -307*c + 302*c, 2*c = 5*w - 45594. List the prime factors of w.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 - -0.52. Let h = 14 + -10. Let l be (-25)\/(-7)*-1 - 20\/(-35). What is the smallest value in -1, l, h, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/45)\/(80\/30)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125585549?\nAnswer: 109, 1152161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(1\/(-1 + 0)). Let r be w + (-3 + 2)*-137. Does 14 divide r\/10 + 5\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 11:37 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**4\/4 - u**3\/3 - u**2\/2 + 2*u - 2. Let d = 16 - 16. Determine v(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3329983727.\nAnswer: 7, 475711961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102 + 149. What are the prime factors of t?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m - m + 5*m + 3*m + 9 - 9 - 4*m + 4*m + 2*m - 4*m + 4*m + m + (-4 - 2 + 4)*(m + 2*m - 5*m))*(0 + 2 - 1) in the form v*m + i and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.21 times 4798?\nAnswer: 10603.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29.29 - -0.71. Let y = 558.9 - 589. Let j = y + f. Which is the closest to -2\/3? (a) 0 (b) j (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.44442 millimeters to micrometers.\nAnswer: 70444.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*u**3*w**2 - 131*u**2*w**2 + 7*w**2 + 5*w wrt u.\nAnswer: 6*u**2*w**2 - 262*u*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 1. Let i be b(-1). Let o = -155 + 47. Is 15 a factor of o\/(-8)*(4 - i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3947956*q - 6 + 3 + 3947962*q + 3 - 12*q**2.\nAnswer: -12*q**2 + 6*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -0.4, 12, 201, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 11*n**4\/3 - 5*n**3\/3 + 19*n**2\/2 - 3*n - 20. Is k(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -25000*r. Let o = 5 - 8. Let i(s) = s**3 + 2*s**2 - s + 2. Let n be i(o). Let h be j(n). Round h to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -22 - 3 - 13) + 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 6:16 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -11, -4126 in descending order.\nAnswer: 0, -4, -11, -4126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 0*z + 3*z)*(2*z + 2 - 3*z + 0) + (z - z + z)*(-2*z + 3*z + z).\nAnswer: 4*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 7 = -15. Suppose f = -3*k + 110, 2*f + 50 = k + m. Which is smaller: 39 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/9*(0 - 0). Suppose 8*w = 853 + 235. Suppose t*u = -4*u + w. Calculate the remainder when u is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = m - 18. Calculate the greatest common divisor of m and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (0 + -2 - 53 - -10)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -68 and -65 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 7) to base 5\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0 (b) 4\/11 (c) 1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 - 6 = 0. Suppose -n*y = 1 - 10. Suppose -y*u - 2*b + 37 = 0, u + 4*b = 5*b + 19. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3861934*q**6 - 3*q**2 - 9378 wrt q?\nAnswer: 463432080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -122244958*g**2 + 228855752 wrt g.\nAnswer: -244489916*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 10847.439.\nAnswer: 10848.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/234)\/(224\/(-24752))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*a**2 + 56*a**2 - 156*a**2)*(-5*a**2 + 5 - 5) - a**4 + 2*a**4 - 3*a**4 to the form p*a**2 + s*a**4 + x + u*a**3 + o*a and give s.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 0*m + 3*m + m - 3*m. Let z(b) = 2*b**2 - 5*b**2 - 2*b**2. Calculate z(u(o)).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -19, 268, -0.2?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 35.4. What is the closest to -0.1 in 2\/11, 1, r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.022 - -0.558. Let m = -0.13 - -0.05. Let u = v + m. Which is the closest to 1? (a) 2\/9 (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 + 7*c**3 - 13*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -10, -1.1, -3\/2?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -l**3\/3 + 7*l**2\/2 - 6*l - 8. Let p be y(6). Solve -2*t - 2 = -p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z + 1. Let r be f(2). Let b(u) = -410*u**2 + 0*u**3 + 808*u**2 - 395*u**2 - 3*u**3. Let a(v) = -6*v**3 + 5*v**2. What is r*b(q) + 3*a(q)?\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, -3\/5, -0.3 in decreasing order.\nAnswer: -0.3, -3\/5, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**3 + 2*h**2 - 1. Calculate a(-2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-32)))**(1\/21)\/(n*(n*n*n*n\/n**(-4\/5))\/n*n*n*n**(-37)) assuming n is positive.\nAnswer: n**(3011\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxxxxxmxmkmkkmex. Give prob of sequence mexx.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.043187 and -4?\nAnswer: -0.172748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 43 - 846\nAnswer: -803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 50752*k.\nAnswer: -4*k*(k + 12688)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*g**2*z**3 - 5262*g**2*z**2 + 2*g**2*z - 6*g*z**4 wrt z.\nAnswer: -222*g**2 - 144*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-2)*(6\/(-105))\/(4\/(-130))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -9, 1, -1\/3, 0.4, 59538?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/507712 and -47\/10600.\nAnswer: 672718400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(1*-2*sqrt(3)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-215)*42\/(14868\/(-590))\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -10.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (376\/3760)\/((-53)\/(-55) + -1)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -52. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 250*i**2 + 2*i + 33. Let y(d) = 5*d**2 - 11. Calculate v(n) + 3*y(n).\nAnswer: 265*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -43833810981 plus 252?\nAnswer: -43833810729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 4*a + a + 3, 0 = 5*h + a - 13. Let s be (0 - -37) + 9\/12*4. Solve 5*t = -5*r + s, 19 = h*r + t + 2*t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-16) + -2 + 1\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*f**2 - 25*f**2 + 26*f - 28*f.\nAnswer: -56*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 78404 and -0.02876?\nAnswer: -2254.89904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(32)\/sqrt(4) + sqrt(8))*1)\/(sqrt(16)\/(sqrt(144)*-2)).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*k + 128*k + 840*k - 290160 = -2972*k for k.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -55.99 and 0.1.\nAnswer: -55.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 at most 431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10638131, 10638142, 10638167, 10638212, 10638283, 10638386, 10638527?\n\"Answer: f**3 + f**2 + f + 10638128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6) + (-21149990)\/(-15). Suppose 4*v - v = -t. Round v to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 + c**2 + 2*c + 2*c.\nAnswer: c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0040942 rounded to five decimal places?\nAnswer: 0.00409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 840436009 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 4*b**2 + 11*b - 1. Let t be w(6). Let c = 13 + t. Is (-208)\/24*(-9)\/c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.53 - 0.47. Let z = c - 2. Let y = z - -8.048. Is y at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2942, -4, -48, 2, 1, 0.\nAnswer: -48, -4, -1, 0, 1, 2, 2942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.836209885 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 10:22 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 99, 112, 125?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -45473, -181905, -409291, -727631, -1136925, -1637173?\n\"Answer: -45477*m**2 - m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 7*c + 50 - 5*c**2 - 42*c + 9*c**2.\nAnswer: 5*(c - 5)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 806374?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 238 - 70. Let b = -46709 + 46725. Calculate the smallest common multiple of b and w.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018583 rounded to four dps?\nAnswer: -0.0186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588285 is divided by 19609?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -3*v**5\/5 + 189*v**4\/2 - 4653*v**3 + 64638*v**2 - 350892*v - 3135. Factor x(t).\nAnswer: -3*(t - 57)**2*(t - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -0.1, 1, 2\/1955?\nAnswer: 2\/1955","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23780\/7 or -3?\nAnswer: -23780\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 39 = -3*r. Suppose -d - 4 = -5*l, 0 = 3*d - 4*l - 134 + 135. Solve -r = -3*j - d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0.3, 81 in ascending order.\nAnswer: -12, 0.3, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -7. Suppose 0 = -14*r + 28*r - 42. Which is the third biggest value? (a) i (b) r (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(13) + -1*sqrt(468) + sqrt(13) + sqrt(1300)*-4)*6)**2.\nAnswer: -3168*sqrt(13) + 906084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3367\/3 + -1122. Which is the closest to -0.1? (a) 0 (b) 4 (c) t (d) 0.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k + 5. Let t(d) = -d - 1. Suppose -5*o + 7 = -8. Suppose -b = 4*i - 3*b + 2, -5*i - o = -3*b. Suppose i = n + 39 - 41. What is n*f(c) + 10*t(c)?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 7*a**4\/24 + 35*a**3\/6 - 9*a**2 - 5. Let x be c(-5). Solve 0*g**2 + 1\/2*g**3 + x - 1\/2*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n - 51*g + 47*g + 60 = 0, 2*n - g - 15 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*n = 1120, -3*z - 381 - 289 = -2*n. Let c be (-12)\/54 - z\/18. Suppose -j - c = -3*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -400800 divided by -66800?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**18*j**(7\/4)*j assuming j is positive.\nAnswer: j**(83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r. Let y(z) = z. Let h(d) = 2*q(d) + 11*y(d). Suppose -6*v = v. Suppose -7*n + 8 - 1 = v. Let o(x) = 3*x**2 - 3*x. Give n*o(p) + 3*h(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 29 + 5 = 0. Suppose s*o + 20 = 3*o, 50 = 2*c + 4*o. Factor 80 + 4*j**3 + j**3 - 35*j**2 + 14*j + c*j - 7*j.\nAnswer: 5*(j - 4)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*v**3 + (1 + 2 - 5)*(-2*v**3 + 4*v**3 + 3*v**3).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -157789 and 0.07?\nAnswer: -11045.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 16 = -5*c - 9, c + 5 = -3*g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybddrpg. What is prob of sequence gd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 14 = -7*a. What is the third derivative of -18*l**2 - a*l**6 + 9 - 9 - 9*l**6 wrt l?\nAnswer: -1920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {a: 1, c: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x*x*x**(1\/9)*x*x)*x**(1\/12)*x**6*x*x*x**(-3\/8)\/x assuming x is positive.\nAnswer: x**(187\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 202921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9026 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1\/4 (c) 0.8 (d) -4918 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/36 and 81\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 5*a - 5, -7*a = p - 2*a - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 + 0*u**2 + u**2 + (-14 + u + 14)*(-4*u + 3*u + 2*u) + u**2 + u**2 - 4*u**2 to w*u + g + s*u**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1266615265 * 0.5\nAnswer: 633307632.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + 3*n + 7. Let h(w) = 2*w**2 + 4*w + 8. Let c(b) = 4*h(b) - 5*k(b). Let f(t) = 2*t**2 - t + 2. Calculate 2*c(x) + 3*f(x).\nAnswer: 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 143021 > 143019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) - sqrt(13)) + -4 - (sqrt(13) - (sqrt(52)*2)\/sqrt(4))**2)*-3.\nAnswer: -9*sqrt(13) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16655, -16672, -16715, -16796, -16927, -17120?\nAnswer: -17387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 225525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 15 + 35. Let c = -1115 - -1116. Solve g + r - c = 1, 4*g + 3*r = h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, m: 2, h: 2}. What is prob of sequence jhhm?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 635570627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/63)\/(-2))\/((-720)\/3240)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 179*h**2 - 96*h**2 + 145*h**2 + 59*h**2 as d + y*h**2 + p*h and give y.\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**7\/840 - m**6\/90 + m**5\/30 - m**4\/24 - 13*m**3\/6 + 12*m**2. Let o(g) be the first derivative of q(g). Determine o(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155+1334343.407\nAnswer: 1334188.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 1. Let v(i) = -i - 3. Suppose -4*l = -5*l - 1. Let c(j) = l*v(j) + 2*d(j). Let g(w) = -8*w + 8. Determine -18*c(b) + 2*g(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 206 + -121. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f. Let d be (-1)\/2 - 2\/4. Let g = d - -16. Let r(j) = -g*j + 20*j - 7*j. What is a(r(b))?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -737 (base 12) to base 10.\nAnswer: -1051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -27, -5, -5228?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 + 6*276\/8 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7484?\nAnswer: 2, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38388, -38393, -38410, -38445, -38504?\n\"Answer: -g**3 + 2*g - 38389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -8. Let y be ((-2)\/5)\/((-22)\/605). Let q(j) = -j**3 - 5*j**2 + 4*j - 7. Let m be q(-6). Sort x, 1, m, y in increasing order.\nAnswer: x, 1, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 - 2*k**2 - 2*k. Let h be m(2). Let f(r) = -r + 7. Let w be f(h). Solve 2*n = -5 - w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 99.57 - -2.43. Let g = -102 + c. What is the third smallest value in 2, g, 2\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**4\/3 - 534040*g**3\/3 + 11883814084*g**2 - 213885690392*g\/3 - 249537666686\/3 = 0. What is g?\nAnswer: -1, 7, 133507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*t + 2*h + h, -2*h + 33 = 5*t. Solve -2*a = u + 10, -21 = t*a + 4*u + 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q**3 - 2*q**3 - 2*q**3)*(0*q - 3*q + 0*q)*(0 + 0 + 3) in the form x*q + l*q**4 + f*q**3 + p*q**2 + s and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3849 + 3852. Solve 69 = -18*n - s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 854.2481857 - 178.16\nAnswer: 676.0881857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 12*i + 3. Let g be m(-15). Suppose 3*n + 2*a - 54 = -n, -3*n = -a - g. What is the remainder when 27 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15127.\nAnswer: 7, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -1, 4, -0.3, -327 in decreasing order.\nAnswer: 4, -0.3, -1, -18, -327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 235 + 85. Suppose -s = -5*g - h - 20, 3*g = -5*h - 19. Solve 7 = g*a - 4*l - 7, -3*l = 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 293*y**2. Let w(s) = 12*s - 1534*s**2 - 12*s + 1532*s**2. What is o(w(j))?\nAnswer: 1172*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a2a9b5 (base 13) in base 6?\nAnswer: -504433420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 66\/12)\/(1197\/(-25650))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 241832 and 3135?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13221 + -1132222?\nAnswer: -1212103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/3*(-9)\/(-4). Suppose y*c + h = 11, -5*c - 2*h + 29 = -3*h. What is the second derivative of -2*p + c*p + 8*p**3 - 7*p wrt p?\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**3\/6 - 261*b. Let g(u) be the first derivative of 403*u**2\/2 - 8. Calculate g(q(y)).\nAnswer: -403*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 20*w - 2 - 36*w + 5*w**2.\nAnswer: 5*w**2 - 16*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/20 and 133\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 - 0.5. Let o = i - -1. Let n = 3.96 + 0.04. Which is the nearest to o? (a) -4 (b) n (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-5 + (3 - 1)). Let t(s) = -419 - 411 + 840 - 5*s. Determine t(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 divided by -336?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 + 2*t**2 - 2*t**2. Let b(m) = -37*m**2 - 4*m. Let a(c) = -364*c**2 - 39*c. Let w(r) = -4*a(r) + 39*b(r). Calculate x(w(s)).\nAnswer: -338*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1604 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.56943ug in tonnes?\nAnswer: 0.00000000006756943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 + c**2 - 21 + 1 + 4.\nAnswer: c**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-72)\/11)\/((-4)\/(-11)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -5 + 8\/(56\/(-7))*-9 and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) - 2*sqrt(1440) - sqrt(40) - sqrt(80)\/sqrt(32))\/(sqrt(48)\/(sqrt(30)\/(-1*sqrt(5)) - sqrt(6))).\nAnswer: 49*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/12 and 1\/21645?\nAnswer: 86580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in nine tenths of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -607748*c**3 + 13*c**2 + 44*c - 20.\nAnswer: -3646488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(((-22)\/77)\/((-8)\/42))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(152) - (-3*sqrt(152) + sqrt(152))) + sqrt(152) - sqrt(152))\/(sqrt(16)\/(sqrt(10)\/sqrt(5))).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*p + 4. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 + 5*l - 5*l + 4*l**3 + 68*l - 68*l + (-l**2 - 2*l**2 - 5*l**2)*(l + 0*l + l)*(1 + 6 - 3).\nAnswer: -58*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*q + 1 + 33, i - 3 = -q. Let b be ((-7)\/q)\/(1\/(-14)). Solve -3*o + 5*s + b = 4*s, -o + 2*s + 3 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 609 and 3857?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260846558?\nAnswer: 2, 7, 823, 22639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 31 + 2*f**2 + 2*f - 45. Is n(-7) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1733355 and 44445?\nAnswer: 1733355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -154*x + 3239. Let s be h(21). Let 3*y + 0*y**2 + 6\/5 - 6*y**4 - 6*y**3 - 9\/5*y**s = 0. What is y?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 2:51 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 76*x - 19. Let m be w(9). Suppose 11*a - 6*a - m = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z + 1 - 1\/4*z**3 + 5\/4*z**2.\nAnswer: -(z - 2)**2*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 239, 241, 245, 251?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 s, 1 y, and 1 v when four letters picked without replacement from {y: 1, b: 2, q: 1, v: 7, f: 3, s: 3}?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7948?\nAnswer: 2, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 5*f - 4*f)*(-2*f + 5 - 5 + (3*f - 4*f - f)*(-1 - 4 + 3) - 2 + 2 + f + 0 - f + 0 + 0*f + f + f + 2*f + f - 2*f).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4, -57, -146, -289, -504, -809?\n\"Answer: -3*f**3 - 32*f + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -26*k + 118. Let y be i(7). Let o = y - -91. Calculate the smallest common multiple of o and 18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 6:09 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*y - 15*y + 27*y)*(0 + 0 + y**2) + (19 - 3*y**2 - 19)*(-y + y - 2*y).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 16 = 4*i, -j + 684 - 662 = -3*i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6558 - 3270 - 8*k - 3273 as z + n*k and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)*u**(-2\/9))**(-2\/73)\/(((u\/(u\/(u*u**3))*u)\/u)\/u*u**(-2\/5))**3 assuming u is positive.\nAnswer: u**(-51161\/6570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - v = 3*v + 58, -4*v = 8. Let h = d - 35. Let a = h + 23. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -45814, -39109, -32404, -25699?\n\"Answer: 6705*o - 52519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -998081\/158 - -6317. Let k = 1809\/7742 + r. Find the common denominator of 59\/56 and k.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-56) - 256\/28\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3541301.801 rounded to the nearest 100000?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 139 - 150 = 0 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqeqqpfqqnccnccce. Give prob of sequence nq.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 212792492 to the power of 1\/2, to the nearest integer?\nAnswer: 14587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 4 + 0*y - 1. Let v(n) be the second derivative of -3*n**2\/2 + n. Let c(o) = 3*u(o) - 5*v(o). Calculate c(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(375)*-4 - -6*sqrt(240))\/((sqrt(30)*-2*-3)\/(sqrt(12)\/(sqrt(2) - (sqrt(2) - -2*sqrt(2))))).\nAnswer: -3 - sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/3667, 2\/5, 39.99, -0.1?\nAnswer: 2\/3667","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 116*h - 3271. Calculate d(68).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*s - 84*s - 139*s + 2275 = 0 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/16*-2)\/((-60)\/1680).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 345, 549, 753?\nAnswer: 957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(7\/11) - -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 0.5, 10.7, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26171869 or 26171866?\nAnswer: 26171869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(8 - (2 + -4)). Let t = -20 + 4. Let a be r\/t - 3\/(-12). What is the second biggest value in a, -1\/2, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*o - 5. Let m be (-2 - 1)\/3*5. Let n be ((-3)\/m)\/((-4)\/(-5)). Which is the third smallest value? (a) o (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/19)*w)\/w)**(-27)\/(w**(7\/8)*w\/((w*w*w**(-6))\/w)*w) assuming w is positive.\nAnswer: w**(-1413\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*c + h = 12, -3*h = 4*c - 12. Suppose -6*p + c*p = -9. Which is greater: 4 or p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 641*l - 611*l = -12060. Put 2, l, 1 in increasing order.\nAnswer: l, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47881000 to the nearest 1000000.\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - v = 24. What is the greatest common factor of 54 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4*(6*(-2 + sqrt(200)) + 4)**2)*1 + 0.\nAnswer: -3840*sqrt(2) + 29053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8760, -4 in increasing order.\nAnswer: -4, 0, 8760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*d - 1143 + 1143.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7848, 4738, 1628, -1482, -4592, -7702?\n\"Answer: -3110*g + 10958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 352?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 8*z**2 + 7*z + 3. Calculate the smallest common multiple of x(-7) and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -81*m**2 - 159*m - 160. What is the derivative of n(a) wrt a?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12644 and 406?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 28 = -8*a, 2*o - 57 + 69 = -3*a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105 - 204 + 99 + 850*w.\nAnswer: 850*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -147095779?\nAnswer: -147095776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*t + 4 = 335*t, 3*w + 4*t + 11 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.82517 to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211636 (base 10) to base 8.\nAnswer: 635264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 32512432?\nAnswer: -32512441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 11998244 = -2*a + 29952238, -53861991 = 3*u - 3*a. Round u to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 4*k - 28 = 0. Let r = -9 - k. Solve 0 = r*j + 16 + 9 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 9*h**2 + 3*h - 39. Let f be c(-8). Calculate the highest common factor of f and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -11*y**2. Let n(v) = -5*v + 5*v + 2*v. Calculate o(n(t)).\nAnswer: -44*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1344) - -1*sqrt(1344))\/(sqrt(847) - sqrt(847)*-3))**2*1.\nAnswer: 48\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/7 + 31*i**2\/7 - 69*i\/7 - 99\/7.\nAnswer: (i - 3)*(i + 1)*(i + 33)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 2 + (6 - (-3 + 6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/29 + 99\/116. Let v = -2999\/340 + 1026\/85. Which is the nearest to v? (a) -5 (b) 0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59063 is divided by 96.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -14*b + 15*b, 0 = -h - 4*b + 65. Calculate the greatest common factor of 21004 and h.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(567))**2 - sqrt(7)) + sqrt(7) + (sqrt(28)\/sqrt(64))**2 - ((4*sqrt(700))**2 - sqrt(700) - sqrt(700))*4.\nAnswer: -707657\/16 + 116*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36641.78t to micrograms.\nAnswer: 36641780000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -170?\nAnswer: -170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -14\/5*y**3 + 0 + 2\/15*y**4 - 6*y**2 - 46\/15*y = 0.\nAnswer: -1, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30506753 is divided by 296182?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**4\/2 + g + 2. Let v be j(-2). Suppose 0 = -0*y + 3*y - 5*a - v, -a = 4*y - 15. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4. Let y be 51\/(-60) + 3 + 36\/(-15). Let j = -0.014 - -0.214. Which is the nearest to u? (a) y (b) 0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(6*(3 + sqrt(320) + 1*sqrt(320)) - (-3 + sqrt(320) + (-1 + sqrt(320) + sqrt(320))*-2)))**2*-1.\nAnswer: -289444 - 18240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -41*i - 83. Give z(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3\/4 + 63*c\/4 - 81\/2 = 0. What is c?\nAnswer: -9, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409 + 672 - 263 - 6*z + 0*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -1478593*r. Let w(g) = 89*g. Give w(v(q)).\nAnswer: -131594777*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 3)*(5 + 16 - 141)*(0*a**2 - 2*a**2 + 3*a**2) as f*a**2 + w*a + d and give f.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/20*7*(-44)\/77. What is the nearest to m in -16, -0.2, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0, -2, 1\/8 in decreasing order.\nAnswer: 12, 1\/8, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 6*z**2 - 4*z - 4. Determine x(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/42 and -113\/252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022211212021121 + 20?\nAnswer: -2022211212021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -505*x + 8. Let p(k) = -2523*k + 43. Give 11*l(g) - 2*p(g).\nAnswer: -509*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.3 (b) -0.1 (c) 3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 divided by 2?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 3*r - 5. Calculate f(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*i - 6006 = 60*i. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3998107 - -307?\nAnswer: 3998414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 10642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 0.4, 0.0929, -2\/11, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 2*d + 2*d)*(-4*d**2 + 5*d**2 - 3*d**2) + 2132*d + 28*d**4 - 25*d**4 - 3145*d.\nAnswer: d**4 - 1013*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -3 (b) 1\/12 (c) -1\/4 (d) -109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -18672267461604.\nAnswer: -18672267461604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 12, 2*o + 2*l - 42 = -16. Suppose 0 = 2*h + 2*v + o - 8, v = h - 9. Solve -3 - 15 = -h*r + 2*b, 3*b = 5*r - 22 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 - 4*t**2 + 3*t**2 + 2*t**3 - t. Suppose 7 = 4*z - 4*r + 5*r, -4*z = 4*r - 16. What is q(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6)*(-4 + 1). Solve -4*l - 3*d = 38 - 9, j*d + 16 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 228413270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 15*z + 2. Let o be w(-15). Suppose -i + 4*l = 17, -5*l + 19 = o*i - 4*i. Suppose -5*q - 65 = -3*y, -i*q + 5*q + 23 = y. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*h**2*m**2 - h**2*m + 9*h*m + m**2 - 6*m wrt m.\nAnswer: -96*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.814 + -11200?\nAnswer: -11233.814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12194, 11361, 9974, 8033, 5538?\n\"Answer: -277*v**2 - 2*v + 12473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7\/68 - -1\/340. What is the third smallest value in 0, -4, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 4\/3*g**3 + 3\/2*g**2 + 1\/4*g**4 - 96 + 0*g. Factor f(n).\nAnswer: n*(n + 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 898 + -154. What is the smallest common multiple of s and 44?\nAnswer: 8184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 45756?\nAnswer: 45756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*n + 16*n**2 + 9*n)*(36*n + 33*n + 100*n - 9*n).\nAnswer: 2560*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33477 is divided by 633.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 - 53. Let b = 4 + -6. What is the nearest to a in b, 4\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -109*x - 59. Is o(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -12. Let w(r) = -7*r**2 - 12*r - 2. Let n(t) be the second derivative of -5*t**4\/4 - 25*t**3\/6 - 2*t**2 - 201*t. Give o*w(z) + 6*n(z).\nAnswer: z**2 + 6*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 863964*z**2 - 6047976*z + 6911936.\nAnswer: 4*(z - 215998)*(z - 1)*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -12*y + 3*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.4, -8435, 1967, 4 in descending order.\nAnswer: 1967, 4, 1, 0.4, -8435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -1\/3*t**3 - 2*t + 0*t**2 - 1\/4*t**4 + 0. Find the second derivative of y(i) wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2 + (2 - 1 - 3)*(-1 + 4 - 2) - 28 - 37 + 49)*(0 + 0 - 3*b + 2).\nAnswer: 51*b - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 242808664 to the power of 1\/2, to the nearest integer?\nAnswer: 15582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 53.25 and -205416539?\nAnswer: 205416592.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 100010100000110?\nAnswer: 100010100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = 2*k - 3*f, -2*k = f - 2 + 170. Let n = k + 138. Let h(y) = 10*y + 1. Let j be h(1). Calculate the highest common factor of j and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 14*r + 2397 = 477 for r.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1101464460.\nAnswer: 2, 3, 5, 563, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15097, 15026, 14919, 14782, 14621, 14442, 14251, 14054?\nAnswer: 13857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117 + -113. Let f(n) = n**3 + 16*n**2 + n + 2. Let p be f(0). Solve -h*z = -5*z + p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 16*k - 20. What is the remainder when p(-8) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33450*r**5 + 227385*r**4\/2 - 1081359*r**3\/2 - 1556826*r**2 - 961614*r + 1080 = 0. What is r?\nAnswer: -5, -6\/5, 1\/892, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 262 to the power of 1\/4, 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 - (6 + 2 + -13)) + -10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 - 3*j - 1. Let x be d(-2). Let u = 0.5 - 0.56. Let s = 0.06 + u. Which is the second biggest value? (a) x (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*q = 769, 3*x + 248*q - 249*q = 580. What is the remainder when x is divided by 90?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 9*m**2 - 13*m - 23. Let l be w(-8). Suppose 0 = l*n - 1533 - 1493. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**4*j**2 + 2*g**4 - 13*g**3*j**2 + 19*g**2*j**2 + 2*g**2 wrt g?\nAnswer: -24*g*j**2 + 48*g - 78*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56480885?\nAnswer: 5, 17, 197, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4 = -6. Let l = c - 2. Let x = l + -9. Which is greater: -8 or x?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 819 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.1 + 1.3. Let q = 27 - 24. What is the smallest value in 5, a, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {s: 3, p: 1, u: 3, w: 5, n: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1411 - -4800. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 2*n - 8, n - 4 = -4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1277902 - 2*m**3 - 1277895 + 2555797 + 0*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 6*d**2 + 1. Let h be y(6). Let t be (-2)\/2 - (-659 + h). Suppose 2*r - t + 235 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -8) + 0 + -19 + 6 + 41\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 2:09 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**4 + 156*b**3 - 5*b + 303. Let q(u) = 3*u**4 + 79*u**3 - 3*u + 152. Let m(k) = 5*q(k) - 3*z(k). Differentiate m(s) with respect to s.\nAnswer: 12*s**3 - 219*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 times -951433?\nAnswer: -127492022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-21)\/((a\/(a*a**32\/a))\/a)*a\/(a**(-3\/5)\/a)*a**(2\/31)\/a*a assuming a is positive.\nAnswer: a**(2118\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (1 + 2 + 1 + 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12376478 or -12376480?\nAnswer: -12376478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1121224 + 4?\nAnswer: -1121220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.088773014 - -125?\nAnswer: 125.088773014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -670*x**2. Let b(m) = -m + 42. Let a(c) = -c + 28. Let o(v) = 3*a(v) - 2*b(v). Determine f(o(u)).\nAnswer: -670*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1852272, -3704334, -5556396, -7408458?\nAnswer: -9260520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4360 and 1960.\nAnswer: 213640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**2\/7 + 5949*j\/7 + 6808 = 0.\nAnswer: -8, 5957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.151 - -0.251. Let m = 0.7 - 0.2. Let w = 0.8 - m. What is the smallest value in w, -3\/4, p?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - ((-32 - 12) + 15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 7 = 5*k. Suppose -4*c = 3*f + 16, -4 = -2*c + 3*c - 3*f. Is (-30)\/k - (-2)\/c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = m - 0*i + 31, -4*i + 132 = -2*m. Let v = m - -390\/7. Which is smaller: 33 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 4:51 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48.48 + -0.48. Let t = 110.2 - -742.8. Let l = t - 858. What is the closest to x in l, -3\/2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28)\/(-8)*7*2. Suppose -4*a + 311 = 3*q, -2*a + 0*q + 159 = 5*q. Let x = a - m. What is the remainder when x is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15*2\/2)\/(-1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 14*c**2 - 2*c + 14. Let n(m) = -11*m**2 + 2*m - 12. Let x(q) = -5*f(q) - 6*n(q). Suppose x(r) = 0. Calculate r.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 132*a**2 + 15 + 15*a - 15*a to f*a**2 + r*a + i and give f.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183166, 730436, 1642552, 2919514, 4561322, 6567976, 8939476?\nAnswer: 11675822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 1538.\nAnswer: -1538.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/2763403?\nAnswer: -2\/2763403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 199845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: b\"What is the gth term of 1500, 1918, 2398, 2940, 3544, 4210?\n\"Answer: 31*g**2 + 325*g + 1144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 2:09 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 4*g + 12, 5*l + g - 6 = -0. Let i(q) = 3*q**2 - 2*q - 1. Let t be i(2). Let k = t + 1. Calculate the greatest common divisor of l and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69327143929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/1804312 and -15\/4669984?\nAnswer: 79389728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 289*n**5 - 4*n**4 - 3*n**3 + 2800*n**2 wrt n.\nAnswer: 17340*n**2 - 96*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2*m + 80. Let n = m - -27. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*2*1\/(-22). Let s = 7\/16 + -31\/16. Let x = -18608 + 18607.5. Put x, 2, s, p in decreasing order.\nAnswer: 2, p, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*v - 1223*v = 231*v - 136578 for v.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from uauufeufuuuuuuuuu?\nAnswer: 13\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.5 + -35.5. Which is the closest to h? (a) -1 (b) 1\/10 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*q + 82*q + 79*q + 84*q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -18, 303, -15 in descending order.\nAnswer: 303, -4, -15, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1176\/(-42) - (1296\/(-40) + -1).\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -91*j + 83*j + 2008. Suppose j*b = 252*b - 2. Solve b*h = -2*u - 2*h - 4, 4*u + 3*h = -8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58225722*j**2 + 40*j - 288553?\nAnswer: -116451444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -169.72685 rounded to one dp?\nAnswer: -169.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*s - 4*s - 3*q, 5*q - 20 = 0. Suppose s = 3*k - k - 10. Suppose 4314 = 3*y - c, -k*y - 2*c = -4*c - 7189. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4509.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*j + 4*z - 6 = 0, j = 3*z - 7. Solve 3*n + 14 = j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, f: 1, b: 1, i: 5}. Give prob of sequence fibi.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7, 30, 103, 250, 495, 862?\n\"Answer: 4*c**3 + c**2 - 8*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**2 - 22*l + 22*l.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18549 + 606*z**2 + 18549 - z)*(-4*z + 3*z + 0*z) to the form r + y*z + t*z**3 + p*z**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 9 = -p + 4*v, p - 5*v = 27. Suppose -s + 2*s - p = 0. What is the units digit of (-8 - -3)*-1 + s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - 4*c + 3*c + (-3 + 7 - 3)*(-3*c - 2*c + 3*c) + 3*c - 2*c + 4*c + 0*c - c + 2*c - c - 3*c - 7*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2463759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 + -10.27. Let y = 10.529 - -0.141. Let b = y + n. What is b rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2816586)\/(-254730) - (10 + (0 - -1)))*(-10)\/(-24).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6680, 7058, 7434, 7808?\nAnswer: 8180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(3\/4)*t)**8*t\/t**(-1\/9)*(t\/(t*t*t*(t\/t**(-4\/13))\/t*t))\/t assuming t is positive.\nAnswer: t**(2200\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/14*(-8)\/6*(-5 + 8). Solve -3*s + 32 = -5*v, 0*v - 3*s = l*v + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -71*h + 12. Let j be v(-3). Suppose -7*t - j = -1310. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 2*t**2 + t - 1. Let q be l(2). Let h be (q - 6)\/(0 - 1). Find the third derivative of 5*u**2 - h*u**4 + u**2 - 2*u**2 wrt u.\nAnswer: -120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 5 = -c, 37*c - 2*b - 4 = 42*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12844, 12614, 12384, 12154, 11924?\n\"Answer: -230*t + 13074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 2412*v - 133920.\nAnswer: -3*(v + 60)*(v + 744)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323002 is divided by 322994?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v - 1. Let h(d) = -13*d - 2. Determine -6*h(o) + 11*q(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q - 99 = -28 + 1654 for q.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25701646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*h**2 + 5*h**2 - 10*h**2 as r + o*h**2 + i*h and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18267 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*l + 133, -5*l = 2*o - 68 + 308. Let h = -32 - l. Solve -3*x + 2*a - 4*a = h, 0 = 3*a + 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 + 23*t + 25. Let p = -46 - -48. Let o(k) = -k**2 + 22*k + 26. Let w(d) = p*j(d) - 3*o(d). What is the tens digit of w(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqqw when four letters picked without replacement from ytwyqqqyytwqwwqtq?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2257?\nAnswer: 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7.696016t?\nAnswer: 7696016000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -3*l**5\/5 - l**2 + 48*l. Differentiate s(v) with respect to v.\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 0 - 13646*n**2 + 0 + 511*n + 13647*n**2 = 0.\nAnswer: -511, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1071331 (base 8) in base 13?\nAnswer: -a2917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 366987232 a multiple of 570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s**2 - 5*s - 10. Let l(z) = z**2 - 7*z - 3. Let j be l(8). Let f(y) = -6*y**2 + 4*y + 9. Let h(w) = j*f(w) + 4*t(w). Differentiate h(v) wrt v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*v - 144. Let m(j) = -j - j + 1 + v + 5. List the prime factors of m(0).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 - 2*w**5 + 0*w**4 + (-9*w + w + 2*w)*(0*w**3 + 2*w**4 + 0*w**3).\nAnswer: -14*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119124 and 322731?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104 and 1313.\nAnswer: 10504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4) - ((-1)\/(-4))\/(3353\/1539027).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4512.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4 = -8. Suppose 4 = o - 0*o. What is the smallest common multiple of o and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 666 and 5994?\nAnswer: 5994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2292 + -2153. Sort j, -2, 0 in decreasing order.\nAnswer: j, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 14*x - 10. Let q be n(-13). Suppose 70 - 66 = 4*j. Put 0, q, j in ascending order.\nAnswer: 0, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 15*s - 2. Let l(m) = -7*m + 1. Let g = 926 - 921. Calculate g*l(r) + 2*h(r).\nAnswer: -5*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1236916?\nAnswer: 2, 191, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -21\/5*f**4 - 540*f + 0 - 10812\/5*f**2 - 4773\/5*f**3 = 0. Calculate f.\nAnswer: -225, -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26507565 and 3990.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201\/246 at most 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4503*d + 13476. Determine o(3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpj when three letters picked without replacement from pvpvpvppvvjjpvjjppjv?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45211367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003498 rounded to 5 dps?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005656 rounded to 5 decimal places?\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54025 is divided by 195?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2160) - (-2*sqrt(2160) - sqrt(2160)))*5*3)\/((-1*sqrt(36)*-1)\/(sqrt(432) + sqrt(432)*1)).\nAnswer: 8640*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 138 = 326. List the prime factors of g.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -164\/75?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 182137, -10 in increasing order.\nAnswer: -27, -10, 182137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1203, 4839, 10891, 19353, 30219, 43483, 59139, 77181?\n\"Answer: -w**3 + 1214*w**2 + w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - j**2 + 29*j + 4. Let x be d(-8). Suppose 4*k + x = 14*k. Suppose -k*r = -20*r - 1766. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -9*h + 2. Let c(r) = 10*r - 3. Let a(w) = -6*c(w) - 7*q(w). Let s be a(-3). Is -4 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 41\/3. Let y(w) = -3 + 8 - 8*w**2 + 7*w + 43*w**3 - 42*w**3. Let i be y(7). What is the third smallest value in t, -1, i, -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 17*j + 1. Let d(w) = 2*w. Calculate 18*d(p) - 2*n(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 m, and 1 n when four letters picked without replacement from {n: 3, h: 4, m: 4, z: 8}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.1 - 2. Let d = -14306 + 14296. Is d >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0025274584 to 6 dps.\nAnswer: -0.002527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*v = 24950 + 250 for v.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 7*a**2 + 11*a + 19. Let i be d(-5). Find the third derivative of -i*r**2 - 5*r**2 - 11*r**2 + 8*r**3 + 8*r**2 wrt r.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/13 in 1\/6, 1\/5, -43\/6, 0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/6 + 102884*i\/3 - 5292558728\/3.\nAnswer: -(i - 102884)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**4 + u**5 - 2*u**4 - 2*u**4 + (0 + 0 + 2*u**3)*(u**2 + 3*u - 3*u).\nAnswer: 3*u**5 - 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14258751 a multiple of 1191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4397 - 17585\/4. Put d, -5, -3\/29, -3, -2\/3 in descending order.\nAnswer: d, -3\/29, -2\/3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence isri when four letters picked without replacement from tsrrrtrttttriistt.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3*l**3 + 2 + (-3 - 10*l + 3 + (-2 + 1 + 4)*(2*l - 6*l + 2*l))*(l**2 + l**2 - l**2) in the form d + z*l**2 + g*l + i*l**3 and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291 - 4020 = -11*x. Suppose 0 = 5*c - 2*t - x, 5*c = -t - 2*t + 329. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 252 and 11610.\nAnswer: 162540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -17. Let s = p - 0. Let w(b) = -b**2 - 10*b - 3. Let y be w(s). Put 0, -5, y in ascending order.\nAnswer: -5, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -1\/4*h**2 - 1\/10*h**5 - 10 + 0*h + 1\/8*h**4 + 1\/6*h**3. Find y, given that i(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267179.\nAnswer: 11, 107, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 257 - 251. Solve 0 = w*p - 2*p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 7. Let d be q(-10). Let z = d - 12. Suppose z*a = p - 22, -p + a = -0*a - 6. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127654368.\nAnswer: 2, 3, 1329733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1734*b**2. Let d(t) = -127*t**2 + 156*t**2 - 21*t**2. Calculate d(u(s)).\nAnswer: 24054048*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2883*z**4\/2 + 2830734*z**3 + 1389342462*z**2 - 358681392*z + 23143776 = 0.\nAnswer: -982, 4\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.188 - 0.188. Which is the closest to m? (a) 0.05 (b) -0.31 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**2\/6 - y\/2 + 9 = 0.\nAnswer: -9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/6 + 12\/(-18). Suppose m = 2*r - 6. Suppose -2 = -w + r. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000011011 (base 2) to base 14.\nAnswer: 2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3372 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 1265?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 3*n**5\/20 - n**4\/24 + n**3\/3 + 35*n**2 + 17*n. Determine q(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*u - 4 - 7 - 9 + 1 - 2*u**3 wrt u?\nAnswer: -6*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 4*o = 20, -h + o + 1 - 6 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a millimeter in micrometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 38.9 * 5\nAnswer: 194.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w + 4*w - 4 - 3*w**2 + 3*w**2 + w**2. Let u be (2 - 8)*(-1)\/2. Suppose 3*y - 3*d + u = 0, -3*y = -y + 2*d + 22. Determine t(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**5\/390 + 5*l**4\/156 + 4*l**3\/39 - 198*l**2. Factor k(v).\nAnswer: 2*(v + 1)*(v + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 1. Let p(g) = -g - 1. Let a(f) = -6*d(f) - 5*p(f). Give a(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 207.4 + -236. Let v = -186.6 + 215.6. Let w = v + x. Which is the closest to -0.2? (a) w (b) -0.04 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -139 - -134. Let o = r + 0. Sort 3, o, 2 in descending order.\nAnswer: 3, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**3*y**3 + 82381*f**3*y**2 + 5*f**3*y + 365*f*y + 4*y**2 + 52*y wrt y?\nAnswer: 12*f**3*y + 164762*f**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hg when two letters picked without replacement from {h: 4, g: 3, y: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-3 + (3 - -1) - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(((-126)\/(-12))\/(-21) - -1). What is the closest to -70 in 2, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 1 = 0, -2*o - 2*o + 3*s = 14 - 33 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -81226839587 from -44.\nAnswer: 81226839543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - m - 3)*(-2 - 1 + 5)*(-m - m**2 + m + (-3*m**2 + 2*m**2 + 0*m**2)*(0 - 4 + 3) + 2 - 2 + 2*m**2 + 0*m**2 + 4*m**2 - 2*m**2 - 40 + 53*m**2 + 40).\nAnswer: -114*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1108*v**3 + 1081*v**3 - 2193*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.4. Let u = -6.4 - -6. Let p be (2\/(-3))\/((-35)\/(-21)). Which is the closest to p? (a) u (b) v (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4394 - 941 - 1682 - 1771 + j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-420)\/(-735))\/((-11)\/((-308)\/24)))\/1\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -265 in ascending order.\nAnswer: -265, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 - 52. Suppose -6*y + 2649 - 261 = z. List the prime factors of y.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 12\/8*((-400)\/10)\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -102. Let u = -249 + 325. Suppose -3*m = -u + 16. Calculate the remainder when j is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 62*u - 62*u - 37*u**2)*(-u**3 + 6*u**3 - u**3 - u**2 + u**2 - 3*u**3 + (-u**2 - u**2 - u**2)*(-4*u + 2*u + 0*u) + 3 - 3 - u**3).\nAnswer: -222*u**5 - 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 0*w**3 + 0*w**5 + 0*w - 1\/30*w**6 + 16*w**2 + 1\/6*w**4 + 0. Factor a(r).\nAnswer: -4*r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*s - 5*k, -5*k = -4*s + 2*s + 25. Suppose w - 147 - 14 = s. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/29? (a) 0.4 (b) 85 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1401, 1408, 1421, 1440, 1465, 1496?\nAnswer: 1533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 9:46 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**6\/180 + 97*a**5\/90 + 197*a**4\/36 + 11*a**3 + 39*a**2 - 5. Factor d(m).\nAnswer: -2*(m - 99)*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/12))**(-24) assuming x is positive.\nAnswer: x**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + 1 + -1 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -6, 24, -2\/17, -3.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21222, 82942, 185164, 327888, 511114, 734842, 999072?\nAnswer: 1303804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z = -8516 - 3884. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.7? (a) 931 (b) 1.5 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 5438, -11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -5, -17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 12:51 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (3 + -2 + -145 + 148)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 6 = -4*z. Let y = 28 - z. What is the remainder when 85 is divided by y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -165 - -167. Solve -i*j = -4, 2*j - 12 = -2*a - 2*j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/4)\/(1\/3). Let x = 7 + t. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 10) to base 4\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5330861mg to micrograms.\nAnswer: 533.0861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1945 and 3070505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 680 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, k: 2, n: 1}. What is prob of sequence kk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 5*o**2 + 12*o - 13. Let v be m(-7). Is ((0 + v)*-3)\/(3\/(-44)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13 in -0.4, 30, -1\/23, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 5*i + 17, -5 = -2*i - 15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b - 2*b - 6*b + (1 - 1 + 1)*(8*b + 20*b - 8*b) + (3 - 3 - b)*(-3 - 1 + 5) + 9 + 2*b - 9.\nAnswer: 17*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -2832855689801.\nAnswer: -2832855689802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4278 is divided by 1300.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(77) + -1*sqrt(77))*-4*6)\/((sqrt(11) - sqrt(1100)) + sqrt(396)*1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326152 is divided by 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 1. Let r be n(-1). Suppose r - 14 = -2*o. What is the least common multiple of o and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = y + 3 + 6, 0 = 3*d + y - 11. Let w be 2\/(-1)*-1 + -20. Let r be 122396\/w - d\/18. Round r to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 8:34 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15.5461 and -11.1.\nAnswer: -172.56171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - 41. Let x(m) be the third derivative of u*m**3 + 1\/2*m**4 + 0 - 1\/20*m**5 - 7*m**2 + 0*m. Factor x(z).\nAnswer: -3*z*(z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2391 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 1. Let p be k(5). Let x be (p + -2 + 2)\/(-2). What is the first derivative of z**x + 0*z**2 + 2 - 2*z**2 + 2*z**2 wrt z?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + 2 + -1*(sqrt(1088) - (3*sqrt(1088) + sqrt(1088) + sqrt(1088)))**2)*5.\nAnswer: 87020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 0.08, -0.1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 a factor of 1022868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 + 25 + 5 + 19.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*a + 4*a = -492 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 357792048101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14824452 to the power of 1\/2, to the nearest integer?\nAnswer: 3850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y - 677 = -846 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 552661672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27*(-7 - (-67)\/9). Suppose -4*r = 3*q - 9, -5*q - 5*r + 9 = -2*q. Solve q*n = -0*n + a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.6774 and 5.\nAnswer: 8.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**3 + 352164*h**2 + 80489595*h + 159570558 = 0. Calculate h.\nAnswer: -117159, -227, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/6, 1\/13, -4\/3, 0.4, 5, -2\/361?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 12994?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1513 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*v + 3*n - 4*n + 23, 4*v + 103 = 8*n + 2*n + 13*n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -36723, -73496, -110269?\n\"Answer: -36773*q + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -0.5 (c) -0.7 (d) -234\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32759475 and 567525?\nAnswer: 12075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y + 18 = -3*c + 20*y, -2*c + y - 12 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 24 = -84. Let k = 44 + h. Suppose p + 0*s - 13 = -4*s, -k = -2*p - 5*s. Calculate the greatest common divisor of p and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*k - 860, 2*k + 340 = -0*k + 2*r. Let f = -379 - k. Let v = -101 - f. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 55*s - 13*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -69, 5, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2)*(6 - 6). Suppose 2*l - 4*z = 400, -7*z = -3*z. Suppose -4*u = -a*u - l. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*q - 434, -459 = -q - 2*q - 3*c. Let u = q + 10. Is (u\/2)\/((-4)\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 5 = 0, 3*u + u + 12 = -4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4\/11 + 126*f**3\/11 = 0.\nAnswer: -63, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1557, -3113, -4669, -6225, -7781?\nAnswer: -9337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyo when three letters picked without replacement from {y: 2, g: 2, o: 1, u: 2, e: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 67942351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/30 - (-2)\/5. Let v = -1621 - -6487\/4. Let u = -4 - -6. Sort y, v, u in descending order.\nAnswer: u, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(-o - 2*o - 3*o)*(1 - 1 + 2).\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22026 (base 7) in base 12?\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58 + -60. Let k(z) = -2*z - 29. Let u be k(-13). Put -8, a, u in decreasing order.\nAnswer: a, u, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -13*g - 16 + 7*g + 2*g - 2*g. What is the tens digit of i(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.5 + 27.5. Let p = 39.7 + -13.9. Let b = p - n. Round b to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 8 + 12 + -7 - (-19 - -4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 13*s + 4. Let o be b(4). Let g be (-82)\/o + 16\/(-56) - -1. What is the second biggest value in g, -1\/7, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.22639 millilitres?\nAnswer: 0.00022639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26347\/55 - 479. Let y = l - -104\/165. Which is the second biggest value? (a) 2\/17 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6324)\/(-198) - 30*96\/90.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4928005, 4927984, 4927963, 4927942, 4927921, 4927900?\nAnswer: 4927879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14231878?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 46*j + 88. Let i be m(21). Let w = -1 - -3. What is the nearest to 0 in i, -2\/151, w?\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2453 or -2491?\nAnswer: -2453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3109063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-294)\/112)\/((-21)\/15)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265*d - 258*d + 524*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 11*g**2 + 3*g + 5. Let p be j(9). Suppose -x = 2*m - 83, -p = -5*m - 2*x + 4*x. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 19. Which is the nearest to 0.4? (a) 5 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 1:35 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*b + 80 = 0. Suppose o - b = -o. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j + 2 = 6*r + 13*j + 1, -4*j = -5*r + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15130241 is divided by 185?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -114*z - 27*z - 2 + 3 + 71*z + 57*z. Let m be 2\/(-8) - 2\/(-8). Suppose -c = -m*c - 2. Calculate v(c).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -178025800 to the nearest one million.\nAnswer: -178000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*v**5 + 2245*v**4 - 481470*v**3 + 18315760*v**2 - 40458240*v + 11468800 = 0. What is v?\nAnswer: -280, 1\/3, 2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 - 7*j**2 + 6*j - 3. What is the units digit of b(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -370\/3 + 123. Let x = 496 - 496.4. Which is the smallest value? (a) x (b) l (c) 4 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + (53 + -19 - -8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i - 1 - 2*i**2 - i**2 + 4*i**2. Let m be s(-5). Suppose -4 = -m*a - 0. Calculate the remainder when a is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 10 - 0) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/5 (b) 4 (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 24*l**2 - 53*l + 226. Let h be c(22). Solve -12*r - 20 = h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 19 = 6*i - i, 0 = -4*b - i + 3. Let p(k) = 10*k**b + 4 + 0 - 2 - 1. Let y = 0 - -1. What is p(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -534*x + 535*x = 33411. What is the units digit of ((-4)\/6)\/((-37)\/x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -30*d + 2. Let l be n(1). Let t = l + 32. Suppose -2*j - t*j = -42. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d - 28. What is x(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 162775680 a multiple of 4987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-61)\/(-305))\/((-4)\/(-5))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.015 + -5.015. Put 4, u, -4, 0 in ascending order.\nAnswer: u, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**2 + 6*q + 2. Let h(d) = 5*d**2 - 11*d - 3. Let m be 4\/(-6) + (-10)\/15*-7. What is m*h(k) + 7*b(k)?\nAnswer: -k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -79655, -79591, -79495, -79367, -79207, -79015?\n\"Answer: 16*b**2 + 16*b - 79687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 25. Suppose 12*o - q*o + 92 = 0. What is the remainder when o is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3960101059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000298 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4150 = -4*t + 4122 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -5, 11, 29, 49, 71?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 12*p**2 + 2*p - 5. Determine o(12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 38760 = 2*j. Suppose j - 2574 = -v. Let y = -2316 - v. Round y to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10534035 to the nearest integer?\nAnswer: 3246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 72b - 4?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**2\/5 + 9188*c\/5 - 4455386\/5 = 0?\nAnswer: 551, 4043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3\/4 - 4*c**2 + 77*c\/4 - 49\/2 = 0 for c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*n - 13*n + 12*n.\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d - 1. Give t(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + -5*(sqrt(143) + 1*sqrt(143)))\/((2*sqrt(11) + sqrt(11))*6)*-1 + -4 + -1 + 5 + 1 + sqrt(13) + sqrt(39)\/(sqrt(9)\/sqrt(3)))**2.\nAnswer: 5*sqrt(13) + 329\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from blr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147099944 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 13. Let w be d(-9). Find the second derivative of -2*k**w + k - 3*k**4 + k**4 wrt k.\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 704*v**2 + 2*v - 3426 with respect to v.\nAnswer: 1408*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-8))\/(-3)*-10 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 5*b**2 - 2*b - 6. Let l be -3 + 6 + (3 - 0). What is the units digit of v(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 173 + -164. Let c be (-11 + p)*(-1)\/(-10). What is the closest to c in 4, 6, 1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54141*q**5 - q**4 + 49333*q**2 + 2*q.\nAnswer: 3248460*q**2 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 3. Calculate the smallest common multiple of 1 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 120*l**3 - 75*l - 281*l**3 + 2*l**2 + 151*l - 71*l to a*l + t*l**2 + s + u*l**3 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(6\/11)*j)\/j**(-7))**(-16) assuming j is positive.\nAnswer: j**(-1856\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73826016?\nAnswer: 2, 3, 11, 69911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)*-3)\/sqrt(8) + 2*sqrt(112).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 5:50 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -285*f**2 - 6*f + 541*f**2 + 359*f**2 + 1540*f**2 to i*f + q + u*f**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 3. Let k = 3 + b. Suppose -k*c + 141 = c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2. Let d(v) = -17*v**2 - 13. Let x(m) = 8*m**2 + 6. Suppose 0 = -5*k + 30 + 35. Let a(i) = k*x(i) + 6*d(i). What is p(a(h))?\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3723026 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 11:03 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -74\/15 bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 4, c: 5, k: 6}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/3 - (-5)\/15. Suppose 5*t - 17 = 3*m - 5, 0 = -t + 2*m + 1. Suppose w + r*a + 4 = -t, -w - 2*a + 2 = 0. What is the highest common factor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/((-7)\/4).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1871951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Let m(w) be the first derivative of 2*w**3\/3 + 3. Calculate t(m(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 27 (c) -43570\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 18 + 17 + 4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-64)\/(-12) + (-8)\/6. Solve -g = -5*x - 19 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 2*p. Suppose 2*o - 10 = -2, 0 = 4*r - 5*o. Let z(t) = t**2 - 6*t + 8. Let y be z(r). What is n(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1810864*z - 1810865*z - 3 - 63*z**4 - 6 to q*z**4 + x*z + c + m*z**2 + b*z**3 and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 316 and 99382.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {n: 8, b: 4, i: 4}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 5\/48*a**8 + 0*a**6 + 0 + 0*a**5 + 0*a + 0*a**3 - 31*a**2 + 0*a**7 + 5\/6*a**4. What is the second derivative of s(o) wrt o?\nAnswer: 700*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34372 = -4*u - 2*y, -3*u + 3*y - 15217 = -40987. List the prime factors of u.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10010021102200 (base 3) to base 12\nAnswer: -67bb46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**3 - 30*k**2 - 110*k - 45. Let b be l(-5). Solve 0 = -h - 2, -132*h = 5*w - b*h + 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/265 and -44\/265?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8\/28 + -106*(-17)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000498027 to 7 dps.\nAnswer: 0.0000498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.1 - 1.1. Let n = -5 + q. Is 1 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15\/4, -0.601, 0.05?\nAnswer: -0.601","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16361 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - -20. List the prime factors of v.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 q, and 1 c when three letters picked without replacement from {q: 2, r: 1, g: 1, u: 3, j: 2, c: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o. Let r(p) be the third derivative of -p**4\/8 - 30*p**2. Determine -l(c) + r(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**6\/300 + c**5\/50 - c**4\/30 + 15*c**2. Suppose u(z) = 0. Calculate z.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 * -0.05\nAnswer: -1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbgbgbgbbbgbgggg. Give prob of sequence gg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 4:48 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o + 17. Let a be f(-2). Calculate the greatest common factor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 3*y - y)*(-3*y**3 + 5*y**3 - 4*y**3) + (0*y**2 + 0*y**2 - 37*y**2)*(-5*y - 3*y**2 + 5*y).\nAnswer: 117*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/((-858)\/(-495))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13891 greater than -652872\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqy when three letters picked without replacement from kyqmelqy.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4276324844?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 132. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 42940 times -0.1\nAnswer: -4294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 471349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -69, -241, -593, -1191, -2101, -3389, -5121?\nAnswer: -7363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5405458903 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.13469s in nanoseconds?\nAnswer: 29134690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43525490 - -7.172?\nAnswer: 43525497.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 3*w = 134186 - 15626. Is w > -9878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 - 8*f - 9. Let y(z) = z**2. Let r(q) = -v(q) - 4*y(q). Let c be (-50 - -5)\/(-5) + (-32)\/8. Determine r(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r. Let m(f) be the first derivative of -f**2 + 335*f - 338. Calculate d(m(u)).\nAnswer: 6*u - 1005","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -50264159977044\nAnswer: 50264159977046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*l - 45, -2*g - g - 3 = 0. Suppose 6 + 66 = 3*y. What is the remainder when y is divided by (-16)\/12 - l\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r + 36. Let n be q(-16). Suppose -2*k - 2*k + 176 = -n*s, 29 = k - 4*s. Let v = 129 - k. Calculate the greatest common factor of 16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z + 31*z - 1935 = 0. Which is greater: z or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 316 = -8*l. Suppose -5*w + 3*u = -850, -5*u + 292 = 2*w - l. Does 22 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 298*m**5 - m - 149.\nAnswer: 5960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59265 + -40840. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -3*q**5\/5 + 3*q**4\/4 + 3*q**3 - 3*q**2\/2 - 6*q - 5. What is w in j(w) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -384, -382, -380, -378, -376, -374?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-13) - (-954)\/117. Suppose -v*q = -11*q + 3. Calculate the lowest common multiple of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46050 - 1?\nAnswer: 46046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1740 divide 1526442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 174 + -24405?\nAnswer: -24261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -63 + 3*f + 30 - 6*f - 5*f in the form s*f + k and give k.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -239 by -6.\nAnswer: 239\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 7 - -3 - (0 + -2 + 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 9808 and -1544 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, u: 1, h: 4, e: 1, k: 1}. Give prob of sequence hnn.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*d - c, -c + 5 = 2*d. Let b(x) = -5*x**2 - 3*x - 3. Let p(z) = 0*z + z**2 + z + 2 - 1. Give d*b(t) + 3*p(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.35396314 rounded to four dps?\nAnswer: -5.354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*u + 20. Let j be u\/(-10)*(2 + (-24)\/3). Let c be -6*j\/(-2) + -2. What is the greatest common factor of c and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7. Let k(u) = u - 15. Let f(t) = -3*k(t) - 5*x(t). Let d(w) = 6*w - 2 + 0*w - 9. Let s be d(3). Give f(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 16500542318?\nAnswer: 16500542317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 1 - 1)*(244 - 244 - 8*f) - 10*f**2 - 5 + 5 + (-3 + 0 + 6)*(-f**2 + 2*f - 2*f) + f**2 - 2*f**2 + 0*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 10 = -26. Let b = 125\/56 - 1607\/168. Which is smaller: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35.01? (a) -112 (b) -0.3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1*sqrt(1377) - sqrt(1377)) + sqrt(1377) + sqrt(1377) + sqrt(1377)) + 1.\nAnswer: -27*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.1 - -1.9. Let z = 2.5 + -3. Sort z, -2\/7, c.\nAnswer: z, -2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 15 + (-272 - -294)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1715.892ns in minutes?\nAnswer: 0.0000000285982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*u - 0*u + 2*m, 4*u - m = -61. Let x = 22 + u. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c - 23 = w - 9*c, -18 = w + 3*c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11709 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from ttuyutittxititxupx.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4636831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/30 and 137\/2127948.\nAnswer: 10639740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 72 - -3?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -1. Let z(y) = -y. Determine -6*b(l) - z(l).\nAnswer: l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3*q**3 + 264*a**3*q - 2*a**2 - 43*a*q**2 + 59*q**3 wrt a?\nAnswer: 12*a*q**3 + 1584*a*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**5\/11 - 420812*f**4\/11 + 22136604768*f**3\/11 - 132797747200*f**2\/11 - 354145280000*f\/11 = 0.\nAnswer: -2, 0, 8, 105200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 368, -72, -512, -952, -1392, -1832?\nAnswer: -2272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 785 and 15280?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**2 + 6151*h - 2. Let u(d) = 28*d - 1. Calculate q(u(y)).\nAnswer: -2352*y**2 + 172396*y - 6156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3929159 to the nearest one hundred thousand.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 31 = 31. Suppose x = -2*d + 319 + 397. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 132, 3514, 6922, 10368, 13864, 17422, 21054?\n\"Answer: 2*d**3 + d**2 + 3365*d - 3236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -129 (base 14) to base 10.\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 35 = 5*r, -5*s + 5*r + 10 = -65. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*k - 236, 0*k - 96 = a + 3*k. Let f = -71 - a. What is the remainder when 72 is divided by (-3)\/(-6)*f + (-15)\/(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4079681*r - 4079681*r - r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 g, and 1 s when four letters picked without replacement from {i: 3, k: 2, m: 6, s: 1, g: 4, f: 4}.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28976 + -28975.8. Put t, -3\/4, 17, 5, -2\/23 in descending order.\nAnswer: 17, 5, t, -2\/23, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 8586*u + 3452959. Calculate g(-423).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k + 3*k + 3*k)*(4*k - 2*k + 1 - 2)*(0*k**2 - k**2 + 0*k**2).\nAnswer: 4*k**4 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(75) + -2*sqrt(75) + 0 - (2*sqrt(108)*1)**2).\nAnswer: -1728 - 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/900 and 35\/936?\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/4)\/(3\/3))\/(2888\/(-304)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**3\/4 + 123*s**2\/4 + 5927*s - 3567 = 0?\nAnswer: -58, 3\/5, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t**2 + 7. Let j be 30\/(-10) - (-10 + 1). Let u(f) = -5*f**2 - 6 + 3*f**2 - 2*f**2. Let z(w) = j*b(w) + 7*u(w). Let v(l) = -2*l**2. Give z(v(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (3 - (-7 - -22)) + 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7158 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 123.43 + -123.8. Put t, 0.2, -4\/9 in ascending order.\nAnswer: -4\/9, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2 + 1565750*o + 612893265625 = 0. What is o?\nAnswer: -782875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457*h - 3630 = 940 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - -19005386265.96.\nAnswer: 19005386250.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.6 + 1.6. What is the second smallest value in -24, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2872a9 (base 11) to base 15.\nAnswer: -8d023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.27 + -0.13. Let r = -17.95 - -18. Put r, -3, b in increasing order.\nAnswer: -3, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19839328 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 188549?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364440*k - 76 = 364444*k for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 8. Suppose 86 - 2 = k*i. What is the remainder when 39 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 34347*-0.1\nAnswer: -3434.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1494 = 288*f - 285*f - 2*a, -5*f = 3*a - 2490. Calculate the lowest common multiple of 4150 and f.\nAnswer: 12450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -116, -85, 52, 331, 788, 1459, 2380?\nAnswer: 3587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 0)\/(1 + 0). Let c(a) = -7*a**2 - 5*a - 3. Let i = 107 - 118. Let j(g) = 20*g**2 + 14*g + 8. Let m(z) = i*c(z) - 4*j(z). Give m(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -20.3, -2, -290, 0.5, 5\/3 in decreasing order.\nAnswer: 3, 5\/3, 0.5, -2, -20.3, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -339*y + 190*y + 149*y - 5*y**2. Let c(j) = 2333*j. Determine s(c(n)).\nAnswer: -27214445*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 12719*r. Let h(b) = 5*b + 112. Let g(u) = 3*u + 64. Let j(c) = 7*g(c) - 4*h(c). Determine d(j(a)).\nAnswer: 12719*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 35 + -16 - 14.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(3 + 0 - 1)*(a**3 + 8*a**2 - 8*a**2).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-114)\/18 - 3\/((-18)\/(-4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b84 (base 13) to base 2.\nAnswer: -11001010011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/8)*z\/(z**4*z)*z*z**5\/z*(z*z*z**4)\/z*z*((z**(1\/7)*z)\/((z**(2\/13)*z)\/z))**(-1\/37) assuming z is positive.\nAnswer: z**(191199\/26936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 547 + 527. Calculate the lowest common multiple of f and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l + 3. Let f be i(1). Let j be 6*3\/(-6) - 175\/(-245). Which is the second biggest value? (a) 5 (b) f (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -11169958178.6.\nAnswer: -11169958178.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11225323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -43, -72, -123, -202, -315, -468?\nAnswer: -667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.93644, -0.5, 3, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14827997 is divided by 2200?\nAnswer: 2197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 386097 times -30?\nAnswer: -11582910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (6 - 2 - 0). Let g(p) = -3*p**2 - 3*p + 2. Let z be g(3). Sort z, n, 1 in decreasing order.\nAnswer: n, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 467765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -255\/16*i**4 - 1\/4*i**2 - 32 - 37\/12*i**3 - 875\/24*i**6 + 0*i - 155\/4*i**5. Factor q(g).\nAnswer: -g*(5*g + 1)**3*(7*g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/11 (b) -1.1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -8545 and -8445 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**4\/12 + d**3\/6 - d**2\/2 - 8*d. Let n(u) = 2*u**3 + 2*u**2 + 2*u. Give 2*h(w) - n(w).\nAnswer: -2*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*h*j**3 - 5*h*j**2 + 5*h - 108457*j**3 + j**2 - 480 wrt j?\nAnswer: -30*h - 650742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -276*s + 548*s - 269*s. Let i(w) = 6*w**2 - 4. Calculate i(j(r)).\nAnswer: 54*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (2 + 1 - -1). Let m = -30 - -34. Sort m, -3, p.\nAnswer: p, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {z: 2, j: 18}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*d - 0. Solve -2*v + 6 = -d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a litre in millilitres?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22145550, -22145528, -22145506?\n\"Answer: 22*v - 22145572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhqhhqvqvhv. What is prob of sequence vqvv?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3 + 647*j**2 + 1287*j - 1935 = 0. Calculate j.\nAnswer: -645, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 197300137*d**2 + 99743184*d?\nAnswer: 394600274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -277507 > -277300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -146.159 - -0.159. Let s = l - -164.3. Let v = s + -18.213. Round v to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*o + 5. Let h(m) = 4*m**2 + o*m**2 - 6*m**2. Let x(s) be the third derivative of s**5\/60 + s**2. Calculate x(h(g)).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38273 is divided by 221.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 12 = 2*p, p = 2*p + 3*b - 6. Suppose 216 = -3*v + p*v. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -706 + m + 260 + 445. Let v = 8 + -25. Let i = v - -24. Determine j(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -3*h**4\/2 + 27510*h**3 - 247491*h**2 + 412410*h + 1374825\/2 = 0?\nAnswer: -1, 5, 18331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, y: 4, e: 7}. Give prob of picking 2 o.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.669636 rounded to 3 dps?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + -10 + 0 + -7 + -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-44 + 6) + -1 + -3. Is 12 a factor of 28\/294 + (-21584)\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2691.9273 microseconds?\nAnswer: 0.000044865455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*c**3 - 19*c**2 + c + 19*c**2 + (5*c - 2*c - c)*(c**2 + 0*c + 0*c).\nAnswer: 13*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 1)*(-2 - 1 + 1) + 3 - 6 + 2)*(-h**3 - 5*h**3 + 2*h**3).\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - 4*o + 6*o + 16*o**2)*((3*o - 4*o + 2*o)*(-2 - 1 + 2) - 2*o + o - o - 2*o + o + 3*o).\nAnswer: -16*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2514, -5030, -7546, -10062?\n\"Answer: -2516*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.12 (b) -4 (c) 0.02 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, h: 3, x: 1, k: 4}. What is prob of sequence sk?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 626530?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5 = 1. What are the prime factors of (-2)\/(u\/(-2))*-13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 25 = 5*j, j - 4*i + 3*i = 3. Let k(x) = 10*x - 11*x + 0*x - 2. What is k(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 2:48 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2450 (b) 3\/44 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24714635?\nAnswer: 5, 11, 197, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22723 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: Collect the terms in -80089*y + 80089*y + 11*y**3 + 4*y**3.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -4*y - 8, -5*y - 46 = -2*a. Let c = 21 - a. Let v(g) = -g - g**2 - 6*g + 4*g - c + 4. What is v(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891\/1*((-5)\/3)\/(-5)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by -123?\nAnswer: 49\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*g**3*t**3 + 3*g**3*t - 7*g**3 + 7*g*t**3 - 2*g*t**2 + 73 wrt g.\nAnswer: -72*g*t**3 + 18*g*t - 42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 7*f - 1. Let d be q(-6). Suppose d = k + 2*b, -4*b + b - 10 = -k. Let s(m) = 4*m - 5. What is the remainder when s(6) is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07967 - -8.36967. What is i rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 241044232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 15) to base 11\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -271*u**3 + 5*u**2 + 6. Let m(n) = -406*n**3 + 8*n**2 + 10. Calculate -5*m(y) + 8*q(y).\nAnswer: -138*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/160 and -91\/4672.\nAnswer: 23360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004234782 minus -5?\nAnswer: 4.995765218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 + 2*x - 4. Let t be y(2). Suppose 0 = -4*z + t. Suppose -z*g + 48 = -3*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431797 is divided by 1016?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 5*n - 95, -3*n = 3*q + 126 + 69. What are the prime factors of (510\/(-25))\/(129\/q + 2)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28069, -56071, -84073, -112075, -140077, -168079?\nAnswer: -196081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312 + 0*s**2 + 13 - s**2.\nAnswer: -s**2 - 299","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1.1. Let g = -46.2 + 41.2. Which is the nearest to z? (a) 2\/7 (b) -0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 808.85+-0.21\nAnswer: 808.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + sqrt(8)\/sqrt(4) + 1 + (sqrt(8) + (sqrt(648)*-1 + sqrt(8) - sqrt(8)))\/(sqrt(324)*2).\nAnswer: 5*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/31 (b) 29 (c) -315.46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -13 - ((-24)\/9 + (-2)\/(-3)). Sort -0.4, -0.1, p, 0 in increasing order.\nAnswer: p, -0.4, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 0*m**4 + 0*m**2 + 7\/3*m**3 + 0 + 1\/10*m**5 + 25*m. Find the second derivative of a(h) wrt h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -250530769 greater than -250530767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**2 - 24*n - 20. Let z be o(19). Suppose 197 = -2*l + i + z, -800 = -4*l - 3*i. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mlzc when four letters picked without replacement from {z: 1, m: 3, g: 1, a: 1, l: 6, c: 4}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8278 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 6*g - 2. Let v be ((-14)\/5)\/(2\/(-5)). Let y be w(v). Suppose -1 + 31 = y*u. Calculate the smallest common multiple of u and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5104439 is divided by 49081.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (2 + (sqrt(3) + -1 - sqrt(3))))**2 - 1*(sqrt(3) + 0) - (3*sqrt(27) + -3) - ((sqrt(12)*-5 - (sqrt(3) - (1*sqrt(300) - sqrt(300))))*-5 + 1).\nAnswer: -67*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -18*g - 30*g + 62*g + 4 + 14 - g**2. Let h be n(15). Factor -8\/15 + 2\/15*u**2 - 2\/15*u**h + 8\/15*u.\nAnswer: -2*(u - 2)*(u - 1)*(u + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173065 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.011821 or -0.05?\nAnswer: -0.011821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.3 + -0.087007.\nAnswer: -2.387007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 378739365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 279 and 62.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 5*f - 9)*(4 + 0 - 1).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**7\/105 + y**3\/6 - 3*y**2\/2 - 2*y. Let z(o) be the first derivative of l(o). What is the derivative of z(f) wrt f?\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 677345 is divided by 676362.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(0*w + w - 4*w)*(3 + 2*w**2 - 3)*(3*w**2 + 2*w**2 + 5*w**2).\nAnswer: -60*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.2273 to 1 decimal place.\nAnswer: 12.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 + 5*i**3 + 80*i**2 - 4*i**3.\nAnswer: -i**3 + 80*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -5*w - 6*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12\/33799927 - 9809929270\/6996584889. Let g = w + -2\/207. What is the common denominator of 25\/36 and g?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -443121 (base 5) in base 11?\nAnswer: -10640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113 divided by 4?\nAnswer: 1113\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 x when four letters picked without replacement from xgxxxxxx.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - -115. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/1656 and 49\/69840.\nAnswer: 1606320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -5*o - 2*l, l - 2*l - 8 = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*((4 + 1 - 1)*(-2*v + 3*v + 3*v) + v + 0*v + v + (-1 - 3 + 3)*(-v + 2 - 2) - 6*v + 5*v - v)*(15 - 6 - 6) + 2*v + 2 + 7 - 10.\nAnswer: 53*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19 + -2cc1?\nAnswer: -2cda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2)*g**(-2\/21)*g*g**(-2\/29)\/(g**(-2)\/g)*(((g*g**(1\/2)*g)\/g*g)**(12\/7))**(-30) assuming g is positive.\nAnswer: g**(-11026\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8505767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 - 20*u**2 - 228*u - 396.\nAnswer: 4*(u - 11)*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 0*z**3 + 0*z + 1\/120*z**5 + 0*z**4 - 1\/420*z**7 + 2*z**2 - 1\/240*z**6 + 1\/672*z**8 + 0. Factor a(w).\nAnswer: w**2*(w - 1)**2*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, v: 4}. What is prob of picking 1 v and 3 a?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 19*a**2 - 7*a - 14. Let u be p(-19). Calculate the highest common factor of u and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2262589232?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35278.\nAnswer: 2, 31, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -899045*-1.5.\nAnswer: 1348567.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189\/5292 - 110760\/2912.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 + 3*c + 3. Give t(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - c251741?\nAnswer: -c251742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-3\/8))**0*r**(3\/4)*r*r*r\/(r\/r**4*r*r)*r assuming r is positive.\nAnswer: r**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 225*k**3 + 71*k + 6*k**2 - 5*k**2 - 28*k - 43*k - 690 wrt k?\nAnswer: 675*k**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/8 + 2*-10 + 6. Which is smaller: o or -294\/25?\nAnswer: -294\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((128\/(-80))\/(-8))\/(4\/(80\/18))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*g + 2. Is 4 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0442902l in millilitres?\nAnswer: 44.2902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s**2 - 3*s**2 - 31199*s - 2 + 31240*s - 8*s**3 - s**2 + 2*s**2 to the form v + i*s**2 + r*s**3 + c*s and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -105*g - 124. Let w(s) = -106*s - 120. Let c(i) = 5*p(i) - 6*w(i). Is c(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q - 22 = 0. Let y = 82 + -79. What is the remainder when q is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -253 + 253.0234. Round t to 3 dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 10 + 3 + 0*k + k. Let r = -203 - -196. Let x be a(r). Solve -x = w - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) - (1 + sqrt(125))) + sqrt(5) - (sqrt(5) + sqrt(5) + sqrt(5) + (sqrt(20))**2 + -5).\nAnswer: -16 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 918 - (-3 + 36\/6). Suppose 0 = -10*f + 1015 + s. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -20. Solve -b + h*b = 3*q, 0 = -b + 4*q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1236)\/(-2266) + 1\/(-22).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -3. Let a be 16 + (-12)\/24*28. Suppose -a*k = 2*p - 80 - 4, x*p - 136 = -3*k. Calculate the remainder when 70 is divided by k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5783931 is divided by 377.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8006618.7894 plus -14?\nAnswer: -8006632.7894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 5*i)*(-2*i**2 - i**2 - 2*i**2) as j*i**2 + p*i + t*i**3 + f and give t.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4199.9? (a) 0 (b) -1 (c) -182 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.65 and 2189.97.\nAnswer: 2184.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 5:02 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17602849 is divided by 4981.\nAnswer: 4976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 7 = 4*g, -3*d - 1 = -4*d + 4*g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(6 + -1) - 7) + 7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)\/c*c*c**(2\/5)*c**7\/c**21)**48 assuming c is positive.\nAnswer: c**(-3504\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84 - -83.99999877. Round i to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 + 10*o**3 + 3 - 5*o**3 - 4*o**4 - 2*o**3 - 2*o**3 in the form g*o**2 + j*o**3 + s*o + a*o**4 + y and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v - 2\/3*v**3 - 4*v**2 + 1\/5*v**5 + 2\/3*v**4 + 0. Factor o(i).\nAnswer: 4*(i - 1)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m + 30*m + 8*m**3 - 36*m + 2*m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/12 + 22951\/11670. Let p be (2 - -2)*3\/4. Factor k*u - 8\/5*u**p - 14\/5*u**2 + 0.\nAnswer: -2*u*(u + 2)*(4*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*o - 4*m, 0 = -o + m + 3. Suppose -2*y = -5*h + 915, y = 4*h + o*y - 719. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 7:41 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**8\/756 - d**7\/189 + d**5\/54 - d**4\/54 - 136*d**2 + 3. Suppose b(m) = 0. Calculate m.\nAnswer: -1, 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00071524129 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*x + 11 = 0. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dadddadaadddda. Give prob of picking 2 d and 1 a.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times 0.5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/11068*18\/(-45). Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 10*l**2 - 2*l - 2. Let s(w) = -220*w**2 + 45*w + 45. Give 45*a(k) + 2*s(k).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + s = 11*t - 10, -t = 4*s - 11. Let r be (-10)\/1*2\/4. Suppose 3*w = 7 + 5. Put r, t, w in descending order.\nAnswer: w, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + h - 4*h + 70 = 0, h + 39 = 2*f. Let r = -38 + 53. Let v be (r\/12)\/(1\/4). Solve v = -3*l + f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 149375 and 5000?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 508, -1 in increasing order.\nAnswer: -2, -1, 508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7084 + -4780. What is the greatest common divisor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 521863809 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g*j*s + 655501*g*s + 1631*j*s wrt j.\nAnswer: 3*g*s + 1631*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 4. Find the second derivative of 7*t**3 + 5*t - 3*t - 2*t**4 - 7*t**g wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3433 (base 5) to base 15\nAnswer: 22d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 10\/13 (b) 19 (c) -2\/7 (d) 69 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -276 + 281. Suppose 120 = m*w - 1490. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10289?\nAnswer: 10289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + -61?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44993 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 27*h**4 + 29*h**2 + 5*h + 5. Let m(i) = -14*i**4 - 15*i**2 - 3*i - 3. Let b(g) = 3*l(g) + 5*m(g). Find the third derivative of b(k) wrt k.\nAnswer: 264*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1828 and -1828 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48151 and 9670819?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 34*x + 1. Calculate t(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 88.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -761.289 - -9721\nAnswer: 8959.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(108) + sqrt(108)) + 2*sqrt(108)*6)*5 + -5.\nAnswer: -5 + 450*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q + 10. Let c be a(3). Solve 0*b + c = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 505*o. Let c(b) = -2*b. Give c(w(s)).\nAnswer: -1010*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -22. Solve 0 = z - 2, b*m - 5 = -2*z + 24 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109 and 119028.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8220 + -7449. Calculate the remainder when m is divided by 125.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 1:45 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 105 - 89. Suppose c*y + 25 - 89 = 0. Is y\/(-30) + 11764\/255 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7889 (base 10) in base 15?\nAnswer: -250e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*d**2 + 235*d + 210.\nAnswer: 5*(d + 1)*(5*d + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/205 - -151\/5535. Let t(o) be the second derivative of 1\/135*o**6 + 0*o**2 - j*o**3 + 1\/90*o**5 + 0 + 8*o - 1\/54*o**4. Factor t(l).\nAnswer: 2*l*(l - 1)*(l + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 6841 (c) 0.5 (d) -2 (e) 3 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*h = -0*h - 20, 5*p - 3*h - 168 = 0. Calculate the common denominator of 67\/16 and (-15)\/p*(-5)\/25*58.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-6*sqrt(684)*-1 + (-1 + sqrt(684) + 2 - sqrt(684)) + -4*4*(sqrt(684) + sqrt(684) + 2))**2)*-4.\nAnswer: -1853376 - 38688*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 18*q**2 + 2*q + 21. Calculate f(-18).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 1887*i**3 - 29*i**2 - 1159*i. Let b(o) = 1887*o**3 - 39*o**2 - 1158*o. Let k(y) = 3*b(y) - 4*l(y). Find the third derivative of k(g) wrt g.\nAnswer: -11322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-4))\/((-2)\/8). Let h = 4 - l. Suppose h*p = 33 + 7. Calculate the highest common divisor of 30 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79373807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 11177?\nAnswer: 11175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 40. Suppose r = -3*s + 20, 13 = f*s + 1. Solve 0 = -0*b + 4*b - 4*k - r, -22 = -4*b - 3*k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 2. Let o = z + 3. Put -3, o, 3 in decreasing order.\nAnswer: 3, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -1426, 5 in decreasing order.\nAnswer: 18, 5, -1426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*l - 50*l - 78 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 1 + (-3 - -1). Let x(w) = -w**2 - 6*w - 1. Suppose -v = -u + 13 - 5, 3*u - 4*v - 27 = 0. What is the remainder when x(z) is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 3*r. Let u be m(3). Differentiate 0 + u + 4 + y - 2 with respect to y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -803 - -803.8. Let h = -1 + v. Which is the third biggest value? (a) -1\/2 (b) 2\/5 (c) 5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -t - 6*m - 122, -2*m - 10 = -5*t. Solve 10 + t = 14*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -32896 divided by 10.\nAnswer: -16448\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -317*n**2*u**2 - 278*n**2 wrt u.\nAnswer: -634*n**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3717459 + 63.\nAnswer: 3717522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413658.\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-9) - 4029\/(-27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83845177860.99999362 - 83845177178. Let s = 683 - m. What is s rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*j - 6. Suppose -3*c + 31 + 17 = 0. Let o be c\/6 - (-3)\/9. Is j less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 809184 divided by -16?\nAnswer: -50574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131937*h**2 + 263789*h**2 + 2 - 2 - 131921*h**2.\nAnswer: -69*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/375 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00049038013 to six decimal places.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 0)\/(((-39)\/9 + 4)*-6). Suppose -6\/5*n**5 + 0*n**2 - 12*n**3 + z*n + 66\/5*n**4 + 0 = 0. What is n?\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17997, 36125, 54253, 72381, 90509?\n\"Answer: 18128*b - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from {k: 4, t: 3, z: 4, p: 3}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1451573?\nAnswer: 1451573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 2\/5, 3, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 2*f**2 + f + 3. Suppose -u = -0 + 36. Let a be (7 - 1)*(-6)\/9. Let r be ((-24)\/u)\/(a\/(-18)). Calculate g(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*i - 126*i + 633*i + 147*i - 61122 = 0 for i.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22789000 rounded to the nearest 100000?\nAnswer: 22800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-14)\/6)\/((-1)\/144) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.59808 rounded to one decimal place?\nAnswer: -36.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2163949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*2\/3 + (-147)\/(-9). Let a = 80 - 29. What is the highest common factor of x and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -12*z + 3. Let h be j(-9). Suppose 3*s = 81 + h. Calculate the highest common factor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 34*l**4 + 7*l**3 - 27*l**2 - 7*l. Let k(t) = 17*t**4 + 4*t**3 - 14*t**2 - 4*t. Let g(i) = 4*c(i) - 7*k(i). Find the third derivative of g(s) wrt s.\nAnswer: 408*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = z + 9 - 36, -z + 27 = 5*v. Solve -9*s + z = -18*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*y - 124 = 34*y. What is the remainder when 60 is divided by y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33.5 + -34. Let u = 0 - -0.2. Sort i, u, -3.\nAnswer: -3, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230003 - 111?\nAnswer: -230120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z - 218 = 12*z - 50. Calculate the remainder when 6395 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/9)\/((-2)\/(-150)). Let c = 25 - k. Let t be c + (-50)\/(-11) + -4. Which is greater: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 81, 38, -43, -174, -367, -634?\nAnswer: -987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/1 + -3*(-280)\/12. Calculate the highest common divisor of 180 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + 3*h - h)*(-2*h - 9*h + 5*h)*(2*h + 3*h - 3*h) to the form g*h + x + r*h**3 + f*h**2 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 405 = 3995. What is b rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 10 + (1 - 0). Let s be (2 - (-3 + 3))\/1. What is the highest common divisor of s and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 246 - 241. Suppose -6*k + 3 = -u*k. Calculate the highest common factor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442362 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1498320 and 333292960.\nAnswer: 2999636640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 7*h**4\/8 - 5*h**3\/6 + 8*h**2 - 36*h - 4. Let d(g) = 40*g. What is d(f(c))?\nAnswer: 840*c - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*a - 14803 - 699. What is the greatest common divisor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -2 - (7 - ((6 - 4) + -1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2997 divided by -125366.\nAnswer: -2997\/125366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*c**2 + 7*c**2 - 2*c**2)*(-70 + 9*c + 62 - 3*c).\nAnswer: -126*c**3 + 168*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, y: 2}. What is prob of picking 2 y and 2 j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -2*i - 50. Suppose 38*o + 42 = 42*o + 3*v, -5*o - 4*v = -53. Solve 0*q = o*q - i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(2*(-60)\/80).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5185 is divided by 1533?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7869, 2, 0.5, -4 in increasing order.\nAnswer: -7869, -4, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 5:23 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23417321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.017 (b) -6\/7 (c) 1 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2267 + 2284 = -3*d + 5*s, 3 = -d + s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14111597 or 14111600?\nAnswer: 14111597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 75.3 and 91.3.\nAnswer: 6874.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1154864 and 8?\nAnswer: 1154864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*l. Solve -7*n + 2*n + 10 = l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 193795*y - 193790.\nAnswer: -5*(y - 38758)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 754 + 0*p - 4780*p**3 + 4781*p**3 + 2*p**2 - 2*p to g*p**2 + x*p + u + d*p**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 7221328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 6:33 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/5)*u*u*u**(-3)*u*u)\/(u**1)**(3\/2))\/(u**(5\/4)*u**8)**(-21) assuming u is positive.\nAnswer: u**(3863\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1938 - 923. Suppose -2*h - u = -5*a, -2*a = -h - 427 + 21. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4726049643?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1*sqrt(80)*-4)**2 - 1*(1 + sqrt(80))*-3)*-5*4.\nAnswer: -25620 - 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/9)\/(2\/1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = q - 3*o - 12, 4*o + 21 = q. Solve -3*k - q*a + 13 = 0, -4*k + a = -4 + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1, 13133?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q**2 + q + 2. Suppose 0 = 2*j + 5 + 3. Let n(i) be the third derivative of -i**5\/60 + i**3\/6 + 14*i**2. Determine j*n(y) + z(y).\nAnswer: -2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**3\/2 + 63*v + 92. Let a(t) be the first derivative of z(t). Let h(d) = -8*d. What is a(h(x))?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 1.6. What is the closest to -0.1 in -3, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 10*m**2 - 13. Let h(g) = -g**3 - 2*g + 9. Let p be h(0). List the prime factors of w(p).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 13*f + 9. Let y(v) = 2*v**2 - 24*v + 5. Let h be y(12). Let z be r(h). Let u = z + 87. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6048, -6074, -6138, -6258, -6452, -6738?\nAnswer: -7134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4141 is divided by 509.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(275) + 4*sqrt(275) + sqrt(275) + 3 + 2*(sqrt(275)*4 - sqrt(275) - sqrt(275)) + 3)**2.\nAnswer: 600*sqrt(11) + 27536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 t when four letters picked without replacement from tototootooonootooor?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**4\/24 + g**3\/2 - 12*g**2 + 29. Let q(r) be the second derivative of u(r). Determine q(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-19)*u*u*u*u**(6\/13))\/(u**(-8\/9)\/(u\/(u**(-8\/3)*u*u*u)*u)) assuming u is positive.\nAnswer: u**(-1519\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7137113929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1901025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 211*r + 9 + 185*r)*(0 + 0 - 2*r)*(7*r**2 - 9*r**2 + 16*r**2).\nAnswer: 728*r**4 - 420*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 - -72. What is the biggest value in -24, 2, f, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 91318 and -4.\nAnswer: -365272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*f + f**2 + 34*f + 7 + f**3 to r*f**2 + m*f**3 + s*f + y and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 3*x**3 - 2*x**2 - 3*x**3 + 1 + 2*x**4 in the form n*x**2 + f*x + r*x**3 + b*x**4 + v and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b - 1. Let a(h) = -9*h. Let s(m) = 29*m - 1. Let w(j) = -7*a(j) - 2*s(j). Determine 7*r(z) + 4*w(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j - 6. Suppose 20*v + 5 = 21*v. Let a be r(v). Calculate the greatest common divisor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + x**2 - 1. Let b(j) = -j**3 + 42*j**2 - 5*j. What is -b(w) - 2*y(w)?\nAnswer: -w**3 - 44*w**2 + 5*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -463 - -460. Let r be ((-20)\/t)\/(-9*(-4)\/54). Which is smaller: r or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2 + (-22)\/(-14))*4)\/(131276\/(-259) + 507)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 4. Suppose k*j - 410 + 59 = 0. Calculate the remainder when j is divided by 3\/2*(-160)\/(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 427094476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -227\/3, 2, -2.04, -7?\nAnswer: -227\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 - 13 + 13 + (-2*a - 3 + 3)*(-a**2 + 3*a - 3*a) + a**3 - 4*a + 2 - 2*a**3 + 6*a + (-3*a + 10 - 10)*(2*a**2 - a + a).\nAnswer: -6*a**3 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*o**2 - 40*o + 40*o to the form h + d*o**2 + i*o and give d.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 192112 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 6*b**2 - 2*b - 8. Determine y(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - 49. Solve -2*k = -n - 6 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-219)\/(-84) - (-489)\/(-652).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6397097 kilometers to centimeters.\nAnswer: 63970.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.006 and 11.832?\nAnswer: 11.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(448) - 3*(-2 + sqrt(448))) + sqrt(448) + (sqrt(448) - (sqrt(448) + 2*sqrt(448) + sqrt(448) + sqrt(448) - sqrt(448))) + 2)*-3)**2.\nAnswer: -4608*sqrt(7) + 65088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*t = 0, t + 3*t = -5*z + 23. What is the third derivative of 7*m**2 + 2*m**3 + 4*m**z - 10*m**3 wrt m?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, g: 1, y: 1, z: 2}. What is prob of sequence yq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36173*-0.095.\nAnswer: 3436.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6121966284?\nAnswer: 2, 3, 7, 8097839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176211852, -176211854, -176211856?\nAnswer: -176211858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 330 = 4*g, -3*g = 4*k - 7*k - 261. Suppose 0 = -w + g + 359. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*l + 92*l = 138 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9800\/(-3675)*4*(-5)\/(-40)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, -28, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1034 = 5*s + 4*c, -7*c = -s - 4*c + 203. Is s a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3210907*g**2 - 3608269.\nAnswer: -6421814*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -14*f + 1104. Suppose -2 - 13 = -5*h. Suppose -f = -h*i + u + u, -5 = 5*u. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.21218 rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 233317 + -232913.666. Let g = j + -2.734. Round g to the nearest 10.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 5)*(-k**2 + 3*k**3 - k**3 + 3*k**2).\nAnswer: -14*k**3 - 14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 57174 to the power of 1\/2, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g + 258*g**2 - 11 - 249*g**2 + 4*g - 3*g + g**3 - 7*g. Suppose -5*j + 5*i = 30, -i + 0*i = 3*j + 30. What is y(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 + 6*o**2 + 6*o - 1. Let d(p) = -7*p**3 - 17*p**2 - 17*p + 3. Let j(b) = 6*d(b) + 17*w(b). Differentiate j(t) wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 58785929.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 3, u: 6, b: 3, o: 5}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k**2. Let g(t) be the first derivative of -29*t**3\/3 + 41. Give g(j(c)).\nAnswer: -464*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78 + 66.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 6*n**2 + 6*n - 14. What is b(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -15*a + 10*a. Solve 6*c - 4*c = a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.38 + -0.88. What is the nearest to -2 in 0.4, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*u + 112 = -150*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43408431 and 162657?\nAnswer: 5247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**2\/3 - 354287*v - 40390162\/3 = 0.\nAnswer: -38, 1062899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3094089, 6188178, 9282267, 12376356, 15470445, 18564534?\nAnswer: 21658623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - n - 1. Let k(z) = -z - 1. Let r(m) = -m**2 - 8*m. Let l(y) = -2*k(y) + r(y). Let t(s) = 3*l(s) - 6*p(s). Solve t(d) = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 8*v**2 + 2109*v + 21197. Give l(-10).\nAnswer: 907","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*b - 18 = 150*b - 6*r, 29 = 6*b + r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 1:56 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 3\/646, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -68*w + 54*w. Let y(i) be the second derivative of 1\/20*i**w - 4\/3*i**3 + 3*i + 0 + 1\/2*i**2 + 5\/12*i**4. Give y(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**5\/20 + 3*i**4\/4 + 4*i**3\/3 + 9*i**2\/2 - 2*i. Let s be (-4)\/(8*2\/32). What is r(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9050)\/5430*(-20)\/(-6).\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 4*w**2 - 5*w - 1. Let k be d(5). Let x = -347 - -384. Calculate the least common multiple of x and (-24)\/15*k*5.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1239 + 1240. Sort 70, b, 4 in ascending order.\nAnswer: b, 4, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**2\/2 - v - 1. Let j = -2 - -7. List the prime factors of k(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 i, and 1 b when three letters picked without replacement from ihhibbihbhbbxhbbhi.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -0.1 (c) -1\/8 (d) -22 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2. Suppose -2*o = 3*b - 4, -4*o - 2*b + 7*b + 8 = 0. Let c(v) = -9*v**2 - v + 11*v**o + v. Give l(c(q)).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 1 + 2 - (-107 + 119).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfnwffn. What is prob of picking 1 f, 1 w, and 1 l?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + a**2 + a. Let m(q) = -87*q**3 + 58*q**2 + 58*q. Calculate -m(s) + 58*y(s).\nAnswer: 29*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54\/11 + 15\/11*m + 1\/11*m**2.\nAnswer: (m + 6)*(m + 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*t + t - 2*d, 4*t + 10 = -5*d. Suppose -2*j = 5*f - 262, 3*j - 3*f + 84 - 477 = t. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p**3 + 0*p**3 - 3*p**3)*(-2 + 2 + 1)*(-4 - 2 + 7)*(6*p - 8*p + 23*p) as o + m*p**3 + q*p + j*p**4 + g*p**2 and give j.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8638 + 7650.8. Round h to the nearest 10.\nAnswer: -990","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0.4. Let v = t - 0.2. Let o be 80 - 36*(-6266)\/(-2808). What is the fourth biggest value in 1, v, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72\/10*85*28\/9996\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*d**4 - 258*d**3 + d - 1060698?\nAnswer: -20*d**3 - 774*d**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311181479.\nAnswer: 7, 44454497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 9*c + 7*c - 8, -3*c = 12. Suppose z = r - 166 - 267. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 3*j - 15*k + 17*k, 5*k + 45 = -55 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-3 - -11 - -14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-2) - (-15)\/18)*15. Suppose -b + 148 = -u, 0*u = 5*u - q. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a12b (base 13) to base 10.\nAnswer: -79298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-19\/4))**(-3\/2)\/(l**(3\/34))**(-37) assuming l is positive.\nAnswer: l**(1413\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 18*v**2 + 41*v - 24. Let s = -4070 + 4090. Calculate h(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/120 and 51\/8548.\nAnswer: 256440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/((-3080)\/(-620))*(-18)\/(-3)\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.3, 4\/3, 1\/4 in ascending order.\nAnswer: -2, -0.3, 1\/4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-163 - 216 - 867 - 1189)*(-l**2 + l**2 - 2*l**4).\nAnswer: 4870*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 - 4*s**2 + 6*s**2)*(1 - 2 - 2) + s**2 - s**2 - 2*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 9. What is the least common multiple of z and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = c + 632. Let s = c + -396\/5. Sort 0.1, s, 0.04, 4 in descending order.\nAnswer: 4, 0.1, 0.04, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61798 is divided by 297?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 175 - -3?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/61 + 191\/122. Suppose -7*n + 13*n + 105 = 41*n. Factor s*w + w**n + 0 - 7\/2*w**2.\nAnswer: w*(w - 3)*(2*w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40595 is divided by 347?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 5*a - 6, -2*t - 3*a = -a. Let y be 195\/(-18) - 2\/12. Put 2, t, y in decreasing order.\nAnswer: 2, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4 + (-3*-1*sqrt(95) + (sqrt(95) - 5*-2*sqrt(95) - sqrt(95)))\/(sqrt(125)*1*2))**2.\nAnswer: 52*sqrt(19)\/5 + 4711\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 11) to base 7\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 44 = -t, 2*q - 4*t - 76 = -3*q. Suppose -f = -2*f - 2*g + q, 4*f + 3*g = 28. What is the smallest common multiple of 6 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 207*p + 0 + 3 - 1 - 69*p as x*p + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w = 3*w - 38. Solve -w*i - i = -15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jljjjjjjjjjjjjjjljjj. Give prob of picking 2 j.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.0663887?\nAnswer: -0.1991661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.4 and 3.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92878?\nAnswer: 2, 46439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66072 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 39, -23 in increasing order.\nAnswer: -23, -2, 1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 2*k + 1. Let s be i(2). Let p be 1\/(1\/(s - -1)). Solve -v + 0*v - 3 = -p*g, 4*g + v = -9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 2*f - 8. Let s be q(4). Solve 0 = -5*a - s*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 259.95 - 270. Let v = 0.95 - u. Let q be ((-210)\/(-147))\/((-16)\/(-14)). Which is the nearest to 1? (a) v (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*f + f. Suppose 0 = -3*c + f + 12. Let m = -1 + c. Calculate the remainder when 53 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 113*j - 1857. Let q be g(17). Suppose i - 8 = -3*i. Calculate the highest common factor of i and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 2353488984?\nAnswer: 2353488984.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**11)**41)**(-30) assuming o is positive.\nAnswer: o**(-13530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -110110101?\nAnswer: -110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0. Let v = p - -2. Let f = 1.5 + -1. Which is the closest to 1? (a) f (b) 4\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3572\/(-38)*7*5\/(-35)*(-2)\/(-4)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -169 - 46. Suppose -g + s = -119. Let u be 30\/70 + g\/14. Solve 0 = 4*m - 0*m + u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-2) + -1)*-6. Let f(w) = w**3 + 7*w**2 + 6*w + 3. Let u be f(t). Suppose -5*b + 4*d + 17 = 0, 5*b = u*b - d - 1. Is 1\/2 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/6 - (-1)\/(-8)*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 + 2*s. Let m be r(-2). List the prime factors of (-74)\/(-6) - 8\/m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 2. Suppose -2*f + d - 165 = 0, -4*f + 4*d - 302 = 22. Let l be 12\/42 + 38\/f. Which is the third smallest value? (a) 4 (b) v (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/201 and -565 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-40))\/(7\/((-350)\/6))*72\/276?\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1456, 2909, 4362, 5815, 7268?\nAnswer: 8721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -236771983108 - 0.2?\nAnswer: -236771983108.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.2886 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 10 = f, 5*r = -24 - 1. Solve -f*j + 3*j - 10 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 74 and -7668419528.5.\nAnswer: -7668419454.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1028 < -165.61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101101000 (base 2) in base 15?\nAnswer: -103c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 - 34*d + 94. Let z be c(-19). Let v be (-1)\/(-4) - (-142)\/8. What is the highest common divisor of v and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 26*i**2 + 26*i + 30. Let d be x(-25). Solve r = -d*j + j + 7, 2*j + 5*r = -19 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 2:53 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 396 + -73. Let f = i - 6131\/19. Let -2\/19 - f*t**2 + 8\/19*t = 0. What is t?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from kuuzg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -473*j**3 - 14*j + 1015*j**3 - 498*j**3 to q*j + a + d*j**2 + y*j**3 and give y.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19435.\nAnswer: 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2241 (base 5) to base 7\nAnswer: -636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -35. Suppose r*v - 17*v + 20 = 0. Let j(d) = 0*d - 5*d + v*d + d. Let t(x) = 21*x + 1. Calculate j(t(f)).\nAnswer: 21*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 0)\/(2\/(-12)). Let g(v) = -v**3 - 13*v**2 + 17*v + 54. Let n be g(-14). Let z(m) = -7*m + 19*m + 2*m - n*m + 5. Determine z(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4009866\/199 - 20150. What is the common denominator of 67\/9 and x?\nAnswer: 1791","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 9:18 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-2\/3)\/c)**16)**(-17\/5))**33)**49 assuming c is positive.\nAnswer: c**146608","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 122*h + 325*h - 293993908 + 910759. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -7*f**4\/8 - f**3\/2 + 2*f**2. Let j be k(5). What are the prime factors of j\/(-8)*(-2)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y + 1909 = -1231 + 536. Let w(c) = 4*c**2 - 7*c + 6. Let a be w(4). What is the greatest common divisor of a and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 86891 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 11:33 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 - -92.09. Let o = w + -88. Sort -2\/7, 10, o.\nAnswer: -2\/7, o, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -z + 2*d + 2*d, 2*d + 6 = -3*z. Let n be 117\/126 - (-2)\/z. Which is the closest to -1? (a) 0.5 (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2))**43\/(c**(-10)\/c**2))**41 assuming c is positive.\nAnswer: c**(-3034)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022350 to the power of 1\/2, to the nearest integer?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98 - 97. What is the second biggest value in 4, -17, t, -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 - -29. Let v = 25 + o. Let k(c) = -c**3 + 13*c**2 + 2*c. Is k(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620509 is divided by 2125.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**4*k - 14468699*f**4 - 2*f**3*k**2 - 26*f**2 + 3*f*k**2 - 2614*f*k + k**2 + 5 wrt f.\nAnswer: 48*f*k - 347248776*f - 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y - 5. Let v be n(-3). Solve -3*t - v*c = -20, -t + 0*c + 6 = c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 297062493 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10976112*w**3 + 10096512 wrt w.\nAnswer: 32928336*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 593581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 61940711 to the power of 1\/2, to the nearest integer?\nAnswer: 7870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 8:16 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**7\/7560 + i**6\/540 + i**4\/6 - 2*i**2 + 24*i. Let c(t) be the third derivative of x(t). Solve c(d) = 0 for d.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1042110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**2 + 29*n - 4. Let w be z(-10). Suppose -w*c + 20 = -4. Put -6, 0, c, -1 in decreasing order.\nAnswer: c, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -3\/11, -1, 0.5, -0.1738?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*t = -25*t + 56*t - 10*t - 864 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-2*(-33)\/22). Is j > -4\/1501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -764846059.4 to the nearest ten thousand.\nAnswer: -764850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 6*l**2 - 5*l + 8. Let z be r(-6). Suppose 5*o + 2*b = 40 + z, 5*o = 3*b + 58. What is the remainder when 40 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36552071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 2\/5, 0.5, 33\/4 in decreasing order.\nAnswer: 33\/4, 0.5, 2\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -10*p - 2. Suppose 3*y = 5*x - 16, 49*x - 3*y - 12 = 46*x. Let f(c) = -270*c - 55. Calculate x*f(v) - 55*q(v).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 3*m**2 + m - 63. Let x = 24099 - 24099. What is o(x)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80188093*m**3 + 60993243*m**2.\nAnswer: -481128558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*x**4 - 3 + (0*x + x + 20*x**3 - 3*x**3)*(2*x + x - 2*x + 9) to the form p*x + s + k*x**4 + c*x**3 + i*x**2 and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -9. Let z = -255.6 + 68.1. Let i = z - -187. Which is the closest to 0.1? (a) 8 (b) o (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3207 - 3207.5. Sort 76, g, -4\/7 in descending order.\nAnswer: 76, g, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (-14 - -6)) + (17 - -1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omqm when four letters picked without replacement from {x: 2, m: 2, q: 13, o: 2}.\nAnswer: 13\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2 - 4*k + 6. Let y(b) be the third derivative of b**5\/12 - 7*b**4\/24 + 11*b**3\/6 - 58*b**2. What is 11*s(j) - 6*y(j)?\nAnswer: 3*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 43 = 9. Let a = x + -5. Suppose -2*r = -17 - 7. Calculate the least common multiple of a and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 + 7*u + 2. Let c be w(-5). Suppose 2*f = 5*p - 83, p + 4*f + 36 - 57 = 0. Calculate the highest common divisor of p and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 4 = 5*l. What are the prime factors of (l - 77)*-2 - 5?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**2 + 24*k + 60 = 0. What is k?\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*((-210)\/54 - -4)*(1 - 1). Solve 0 = i - y*i + 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 640239 - -5017\nAnswer: 645256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.6, -3298, 0.2, 0.1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -285*h + 2001. Calculate x(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1690*n - 3336. Let l be b(2). Let m(u) = 3*u - 135. Calculate m(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + -851*(-3096)\/74175.\nAnswer: -12\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6)*2*3. Let d = 2621 - 2617. Suppose 7*k + 6 = 5*k, 0 = -a*i + d*k + 572. Is 35 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2)*d**(-1\/11)*d)**(-16)*(((d\/(d\/((d\/d**(-7))\/d)))\/d)\/d**(-2\/13))\/(d**(-2\/9)*d**5) assuming d is positive.\nAnswer: d**(-6653\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 1:41 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 7*h**2 + 5. Let f be p(7). Suppose -65 = -f*z + 5*l, 2*l = -2*z - l + 36. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/(sqrt(12)*1) + sqrt(6))*6)\/(sqrt(10)\/(sqrt(245)*1 - sqrt(5))).\nAnswer: 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-192)\/180*((-14)\/(-49))\/((-24)\/21).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22 times 639\nAnswer: -14058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 91*k**6\/6 - 53*k**3\/3 + 120. What is the third derivative of g(l) wrt l?\nAnswer: 5460*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -96*g - 250*g**3 - 91*g + 188*g - g**4 + 2*g**4 + 4*g**2 as a*g + f + j*g**2 + b*g**3 + w*g**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2875 and 320750?\nAnswer: 7377250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 4*s**2 + 4*s + 4. Let f = 38 - 34. Let c(u) = -6*u**3 + 27*u**2 + 27*u + 27. Give f*c(j) - 27*b(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o + 14. Let f be j(7). Solve a + f = -5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 36*s**2 - 61*s - 1022. Let w(h) = 5*h**2 - 9*h - 146. What is -4*a(r) + 27*w(r)?\nAnswer: -9*r**2 + r + 146","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 + 9*o)*(0*o**2 - 3*o**2 + o - o**2)*(-11*o**2 + 2*o**2 - 2*o**2).\nAnswer: 396*o**5 - 99*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9762 divided by 15.\nAnswer: -3254\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*f - 225*f = 65 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u - 6*u + 3*u + 3 + 19*u.\nAnswer: 27*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -29*r**3\/3 - 115*r**2\/2 + 181. What is the second derivative of h(q) wrt q?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s**2 - 17*s + 18. Let f be w(-10). What is the hundreds digit of 6\/(-4) - 25\/10 - f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4025178017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7923855, 31695148, 71313963, 126780294, 198094135, 285255480, 388264323?\nAnswer: 507120658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-4 + 4 - (-8)\/(-1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90*b**2*k*r - 372*b**2*k + b*k*r - b*r - 268811*k*r + 2*k wrt b.\nAnswer: 180*b*k*r - 744*b*k + k*r - r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q - 4. Let j(r) = r. Let p be j(-1). Let a be f(p). Let w(u) = u**2 + 6*u - 1. What is w(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4872 and 9744.\nAnswer: 9744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 4 - (1 - 24 - (87 - 100))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j. Let u = 23 + -33. Let w be (-8)\/u*(-20)\/(-8). Let t(l) = -w*l - l + l. Give y(t(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((15\/25)\/(((-32844)\/(-115))\/14)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6286, -6156, -5946, -5656, -5286, -4836?\nAnswer: -4306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 4 - 12. Suppose 5*l - 5*z = 0, -z + 2*z - 1 = 2*l. Sort l, 0, f in descending order.\nAnswer: 0, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-27)*u)\/(u*((u\/(u**(1\/10)*u)*u*u)\/u)\/u) assuming u is positive.\nAnswer: u**(281\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 6*v**2 + 9*v - 21. Calculate q(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59730569*s - 260460 wrt s.\nAnswer: -59730569","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 10:19 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2836 - -4502. Does 7 divide 42\/(-315) - f\/30*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1092295?\nAnswer: 5, 218459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-708)\/(-30) - (-2)\/5. Suppose 4*z - 4*b + k = 0, -2*b = -11 + 1. Let x be 0 - 0\/(1\/z). Solve x = -5*w + 2*q + 1 - 2, 0 = 3*w - 5*q - 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.4 (b) 0.0222 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60785569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/6 - 2\/(-4). Let r(m) = t + 6*m - m + 0 + 1. Determine r(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43730*t + 22351*t + 24545*t to the form f + i*t and give i.\nAnswer: 3166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 816633423 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21856\/10929 + ((-45)\/9 - -3). Let p = 2272056698161\/4491819 + -69298050\/137. Let y = a - p. What is the common denominator of -38\/11 and y?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 5:29 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13463000 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13353116 (base 7) in base 16?\nAnswer: 12ebc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24846564641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*y + 2*x, 19 = 3*y - 7*x + 2*x. Calculate the highest common divisor of y and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*2*(-12)\/8. What is the tens digit of 28 + k - (1 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 236747 and 3689.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -10, v + 4*m - 21 + 0 = 0. Let i be (6\/(-1) - -1)*v. Let x(z) = -2*z. What is the units digit of x(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z + 21*z - 12 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 19, 114, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iaohha. Give prob of picking 1 o, 1 i, and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08439864 to five dps.\nAnswer: 0.0844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4560 is divided by 1113?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4*2)\/(-2) + -2. Let z = -1 - 0. Let i be 0*(-1 - z\/2). Solve 4*y = 5*p + 13, x*p - 2*y + i*y = -4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/13)\/((114\/(-209))\/2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q. Let c(j) be the first derivative of 5\/2*j**2 - 2 + 2*j. Calculate c(t) + 3*s(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6330210 is divided by 2110066.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56339034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 297244301 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 15\/2*k**2 + 5 - 45\/4*k - 5\/4*k**3 = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/((2*sqrt(64))\/sqrt(8)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**2\/4 - 165*d\/2 + 333\/4 = 0. What is d?\nAnswer: -111, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2894803062 is divided by 589?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 62. Let c be p(0). Suppose 14 - c = -3*s. Calculate the highest common factor of 48 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 8*y - 5. What is the units digit of i(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 602*x - 32 - 3 + 17 as g*x + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - -132?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(2\/9)))\/q)**39\/(q*q**1)**(-13\/8) assuming q is positive.\nAnswer: q**(-325\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d - 1. Suppose 4*m - j + 0*j - 12 = 0, j = -m - 2. Let k(l) = l. Suppose 0*y - y = 12. Let r be (51\/(-12) - -4)*y. What is m*v(i) + r*k(i)?\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 4:40 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120793000 rounded to the nearest 1000000?\nAnswer: 1121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, n: 1, u: 2, v: 2}. What is prob of sequence nvn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - -1 - (61 - -144). Let n = z + 257. What is the remainder when n is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 3:13 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, -110, -114, -118, -122?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -9, -3 in ascending order.\nAnswer: -9, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = c + 38. Let y(a) = -a**3 + 11*a**2 + 12*a - 3. Let t be y(12). Let z = c + t. What is the lowest common multiple of z and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 3*r - 2*g + 27 = 0, r - 3 = -g. Suppose -r = -4*q + 5. Find c such that 4*c**q - c**4 - 2*c**4 + c**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 8 = -0*i, -3*x + i = -41. Let g be (0 + 15)*(-78)\/(-9). Calculate the greatest common divisor of x and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17376 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2397708*s - 2581696*s + 976242*s + 668006*s.\nAnswer: -3335156*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 12*m**2 - 189*m + 2. Let z be a(-9). Put 1, 74, -8, 5, z in descending order.\nAnswer: 74, 5, z, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 23679*x.\nAnswer: -3*x*(x + 7893)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, 11, -4.\nAnswer: -4, 5, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -274*p**2 + 1107*p - 30. Let r be b(4). What is the highest common divisor of r and 13825?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l. Let d(h) = -4*h. Let a(g) = -10*d(g) - 6*y(g). Let t(b) be the second derivative of 46*b**3\/3 - 996*b + 1. Give t(a(q)).\nAnswer: -184*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 + k + 2. Let w(c) = c**2 + c - 1. Let v(p) = -t(p) + 2*w(p). Let y(n) = n. Let g(s) = -v(s) - 5*y(s). Calculate g(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - -55. Which is the biggest value? (a) 0 (b) -0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 520936*m - 15103780.\nAnswer: -4*(m + 29)*(m + 130205)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44591, 178304, 401149, 713126, 1114235, 1604476, 2183849?\nAnswer: 2852354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.9 + 4. Let q = t + -0.4. Sort -0.4, q, 0.2.\nAnswer: -0.4, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/20 (b) -0.06 (c) 0.6 (d) -0.48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3345.7, 3\/14, -13.3, 0 in decreasing order.\nAnswer: 3\/14, 0, -13.3, -3345.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c + 45. Let t be d(15). Suppose 3*g + 5*g - 5192 = t. Suppose -14 = -o + 5*h + 95, h - g = -5*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/158 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*p**5 + 2*p**5 + 0*p**5 + (6*p**3 - 9*p**3 - 3*p**3)*(-2*p**2 - 2*p + 2*p + (p**2 + p**2 - 3*p**2)*(1 + 1 - 1)).\nAnswer: 28*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 103472570 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2.7, 0.03, -0.3, -5, 57?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0342 + 207.9658. Let v = i - 211. Which is the closest to -2? (a) 0.3 (b) 6 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**5\/3 - 14*s**4 + 172*s**3\/3 - 114*s**2 + 328*s\/3 - 40 = 0 for s.\nAnswer: 1, 2, 5\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i**2 - 19*i**2 + i**3 + i**3 to the form w*i + d*i**3 + u + t*i**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231\/1771*(-23)\/(-10).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3*l = 2*l + 1, -3*x + 4*l = -29 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 5 (c) -33\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289242 is divided by 2994.\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1023030123 (base 4) to base 10.\nAnswer: 307995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 2499?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 25273 = -2276. Is u a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z = -7*z + 1392. What is the units digit of (z\/(-4))\/(3 + 10\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.084 - 0.22.\nAnswer: -0.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4780 + -2974. List the prime factors of c.\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a year in months?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78513211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in -1, 3\/2, 3, 31.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20201112220 + -11022?\nAnswer: 20201101121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(2 + (-5 - -2)). Suppose -8 = -o*u + 12. Suppose -x + 5*m - 1 = 9, 8 = 5*x + u*m. Solve 3*r = -x*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/7*-5*(-4)\/30?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 3:38 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -90b0 (base 13) to base 15.\nAnswer: -5d7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-172)\/(-559) - 5542\/2210?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95228*f**2 - 2*f + 96266*f**2 - 191505*f**2.\nAnswer: -11*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 - (-12)\/(-3)) + 33. Let b = h + 10. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -46*y**3 + 3*y**2 + 3*y + 1. What is the units digit of d(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4407259?\nAnswer: 19, 231961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 4:01 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -276594326 or -1?\nAnswer: -276594326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24731 - -24750. Suppose 5*s = 2*z + 20, -3*s - 5*z - 7 = 12. Solve -6 = -t - s*v - a, -2*t - 3*v = 22 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2382 - 2239. What is the least common multiple of b and 52?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**3\/5 - 66*f**2\/5 - 153*f\/5 + 216\/5 = 0.\nAnswer: -3, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/(364\/8) + (-343)\/819 and -65\/99?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + 0*k**2 + 2*k**2)*(0*k**2 + k**2 - 2*k**2) + 62*k**2 - 62*k**2 + 28*k**4.\nAnswer: 30*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 3 = 4*l. Let o = 23 - 23. Suppose o = 2*k - l*k + 445. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2917 + 3125. Calculate the greatest common factor of j and 1040.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**2 + 22*d - 8. Let r be p(-6). Suppose r*t = -2*y + 6285 + 5089, -3*t - y + 8528 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2264\/9, -74\/3, -2\/3 in descending order.\nAnswer: -2\/3, -74\/3, -2264\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2021 - -6.7979. Sort -2, p, -0.2 in decreasing order.\nAnswer: p, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 8. Let h be z(-6). Suppose h*d = 1 + 9. Solve 27 = 4*f + 3*j, -d*f + j = -4*f + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 445 + -298. Let b be 10\/(-4)*1*-8. Let q = p - b. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 3*r**2 - 3*r + 9. Let q(v) = -v**3 + 4*v**2 - 3*v + 8. Let n(h) = -4*d(h) + 5*q(h). List the prime factors of n(6).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/9)*l*l**(2\/17)*l*((l*l**(4\/9))\/l)**9 assuming l is positive.\nAnswer: l**(970\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 1175?\nAnswer: -1175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**3 + 16*y**2 - 18*y - 152. Let k be w(-6). Calculate the highest common divisor of 39 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 5, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {b: 5, c: 9}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 32\/(1344\/(-455))) + -1*218\/12.\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*i - 20*i**3 + 2 - 10*i to n*i + g*i**3 + c + k*i**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/10)\/((-44)\/110). Let c(m) = m**3 + 3*m**2 - 5*m - 1. Let s be c(a). Is 13 a factor of (-4)\/(-6) - (-115)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6362868319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/18 - (56\/(-6))\/2. Suppose 3*i - 3*z = 6, 0 = -4*i - 5*z + 3 + k. Let w(t) = -5*t + 2. Let u(x) = 14 - 26 + 6 + 7. What is i*u(s) - w(s)?\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 160 = 4*o, -3*o - 2*n + 0*n = 106. Is (o\/8)\/(8\/(-64)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 15784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -23*s + 2622. Let g be o(114). Let k be (2 + 1)*8\/(-1544). Is g bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 7*t - 2. Let m be b(-6). Factor 0*l + l**2 - 2*l**2 - 4*l**2 + 10*l + 5*l**m - 10*l**3.\nAnswer: 5*l*(l - 2)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.3568867 to one dp.\nAnswer: -11.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y. Suppose -10 + 45 = 5*z. Let i(o) = -z*o - 7*o**2 + 2*o + 5*o. Give t(i(b)).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 10:40 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/9 - 153878*d**2\/9 - 43580368*d\/9 - 3091342840\/9.\nAnswer: -2*(d + 142)**2*(d + 76655)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49989 by -2631.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 45113\nAnswer: 4\/45113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 312906, 313225, 313544, 313863, 314182, 314501?\n\"Answer: 319*w + 312587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7290)\/(-4374))\/(25\/2)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -28493219.\nAnswer: -5\/28493219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**3\/6 + 3*o**2\/2 + 5*o. Suppose -19 = -n - 22. Let m be z(n). What is the nearest to m in -0.4, -0.07, 3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*d = 41*d. Suppose 0*p = -r - 4*p + 14, d = 4*r - 2*p - 20. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/((-30)\/(-36)) - -26. Suppose 11696 = 54*m - h*m. List the prime factors of m.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 7\/52 (c) -3 (d) 4 (e) -1 (f) 180\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 6:50 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -78750603.7 rounded to the nearest ten thousand?\nAnswer: -78750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/5 + 310308*a\/5 + 14577849\/5.\nAnswer: 3*(a + 47)*(a + 103389)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45997 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-8)\/(-36)*(-36)\/(-8). Let x be (19\/(-7) - o)\/((-4)\/14). Solve 0 = -19*f + 15*f + x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(84)*-1)\/sqrt(12) + 1.\nAnswer: -5*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*o - 55196, 8*o = 2*n + 6*o - 36796. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/136300 and -157\/40890?\nAnswer: 408900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 100825 <= 100824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*w + 234 = 0, 4*z - 2*w - 211 = 253. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 + -3)\/(0 + -1). Is (-6)\/t*820\/15 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 {w: 3, m: 2, y: 15}. What is prob of sequence yy?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -561.7 - -563. Does 1\/12 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 38 + 48. Let j be -29 - -32 - (0 + 1). Suppose j*d + 4*b = -0*d + v, -172 = -4*d - 2*b. Calculate the remainder when d is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 11:06 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, 227, 870, 1771?\nAnswer: 2930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -650 = -168*g + 103*g. What is the highest common factor of g and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (135644\/22)\/(-1 + -1). Let p = 5063308\/1641 - 5\/3282. Let m = j + p. What is the common denominator of -35\/6 and m?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5958529749 to the power of 1\/3, to the nearest integer?\nAnswer: 1813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/5)\/(1\/(-10)). Suppose -4*b - 186 = -194. Which is smaller: f or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4220 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*(0 + sqrt(931) - sqrt(931))*-5 + -1 + -5 + -1 + -5)**2.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 651 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1334 - -1130404?\nAnswer: 1132243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 - -3.2. Which is smaller: 1\/2 or h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -v - 12, 0 = 2*t - 5*v + 73 - 79. Let h = -7 + 10. Solve -t*p = -9, -2 = i - h*p + 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/10, 8, -0.3376, -1\/33?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5421671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 - -294\/5. Let w be (2 - 0) + 0\/(-5). Suppose 2*q + 30 = -4*h, 0 = -4*h + 7*h + 15. Which is the third smallest value? (a) q (b) w (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 30400770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 + -1. What is the nearest to -0.1 in -0.2, v, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + (-9)\/18 + (-3)\/2. Let r = -177\/2 - -87. What is the nearest to 1\/2 in r, 7, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + w**2 - 11*w**2 + 11*w**2. Let l(m) = 3*m - 17. Calculate p(l(d)).\nAnswer: 18*d**2 - 204*d + 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/48 in 0.4, -3.62, -2\/5, -0.276?\nAnswer: -0.276","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 87 + 2 + -2 + 2. Suppose 2*i = -4*u + 82, -5*i = -5*u + l - 9. Solve -y = -4*s + u, 15 = 3*s - 2*y + y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6456042*v**3 + 38523*v - 3 wrt v.\nAnswer: -38736252*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t + 1\/2*t**3 + 10*t**2 - 288 = 0 for t.\nAnswer: -12, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -615.\nAnswer: -1\/615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 and 308.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62867*u**2 + 62881*u**2 + 2*u**4 + 25*u + 0*u**4)*(-u + 0*u - u).\nAnswer: -4*u**5 - 28*u**3 - 50*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -2.1. Let v be (-2)\/(-10) + 80\/(-150). Let k = 0.6 + 1.4. Which is the second smallest value? (a) v (b) -1\/6 (c) z (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5*(1 + sqrt(1088) + 2 + -4))**2.\nAnswer: -320*sqrt(17) + 27216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -86.695 to the nearest integer.\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.08, 2\/5, 4, 2\/7, -1241.7, 0.1, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 0. Let l = 1.1 + i. Is l >= -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from kkvvvkkvkvkv?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -42 (b) -0.4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 11. Let f be 3\/j - (-11)\/(-2). Let t(n) = 2 - 8 + 10 + n. Determine t(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 + 7*s**2 - 9. Let f(a) = -3*a + 2. Let k be f(2). Let y(x) = x**3 - 3*x**2 + 4. Calculate k*r(l) - 9*y(l).\nAnswer: -l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 72295, 578543, 1952679, 4628647, 9040391?\n\"Answer: 72324*h**3 - 20*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 - 30*y**3 - 103641*y**2 + 518580*y + 896417388.\nAnswer: 3*(y - 134)**2*(y + 129)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323371185?\nAnswer: 3, 5, 223, 277, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-2)\/(-154))\/(4038\/9422).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 478 + r - r - 479 + 11*r**2 - 3*r**2. What is s(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 6*l - 178. Calculate the highest common factor of l and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 264*(5 + -2 + -2). Suppose -a - t = 2*x + 859, x + 556 = 5*a. Let i = x + 974. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15694137 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 5*v - 4*r, 5*r = 2*v + r - 24. Let a be ((-3)\/v)\/(2\/(-40)). Calculate the greatest common factor of 110 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1112 + 1816. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 147 - -7?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33.1 + -35.1. What is the closest to -0.07 in -3, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5272917?\nAnswer: 3, 13, 53, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 283 + -278. What is the remainder when 2\/(-2) - (-21 - -2) is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 + -180.21\nAnswer: -211.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 7*o - 4. Let n be p(-5). Suppose 3*y - 8*y - 2*i = 97, 2*y = -3*i - 30. List the prime factors of n\/8 + y\/(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -9*m**8\/2240 + 7*m**5\/40 + m**4\/8 - 2*m**2. Let u(s) be the second derivative of k(s). What is the derivative of u(v) wrt v?\nAnswer: -81*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40185.\nAnswer: 3, 5, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12725 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 5*j**2 + j + 3. Let l be w(-4). Let h = l - -17. Suppose h = -4*m + 3*q + 49, -4*m + 39 = -0*q - 5*q. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 46*v + 5. Let s(u) = -44*u - 7. Let b(l) = k(l) + s(l). Let a = 12 - 22. Let t = a - -15. What is b(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.21969 minutes in hours?\nAnswer: 1.3036615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c = -6534 + 19536. Let u = c + 441. What is u rounded to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 u when four letters picked without replacement from ttuttttttutttuttuttt.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 10*o - 9.\nAnswer: -(o + 1)*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of (50\/(-3))\/(((-8)\/870)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**3 - 2*j**2 + 2*j - 2. Let f be p(-3). Let t = 412\/5 - f. Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (-4 - 0)\/4. Let m be (-84)\/f*1*-1. Let u = 22 + m. What is the greatest common factor of 3 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.8 - -8. Let j be (-26 + 24)\/(38\/(-34) - -1). Suppose -20 = -3*w - j. What is the closest to w in -3, l, 1\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 - 3?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102221 (base 4) to base 3.\nAnswer: 21020220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112991575?\nAnswer: 5, 19, 237877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 2*x**2 - 2*x + 8. Let u be s(7). Suppose 83*o + 5*v + u = 86*o, -o - v = -153. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 6:25 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1859*d = 1888*d. Solve 0*i = -3*t + 2*i + 4, d = 4*t - 4*i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l*l**(-1\/5))\/l))**17\/(l**(-2\/3))**(-2\/41) assuming l is positive.\nAnswer: l**(2071\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1941\/10580 + -1\/7935. Let n(m) be the third derivative of -3\/8*m**4 - 1\/120*m**6 + 0 + 0*m + w*m**5 + 8*m**2 - 13\/6*m**3. Calculate n(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4147912919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + (sqrt(14)\/sqrt(2)*-1)**2).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 611436 and 156018086?\nAnswer: 936108516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 47) + 26 - (5 - (1 + -1))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/9 (b) 0 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 7*t - 129, -43 = -2*z + 4*t + 61 + 49 - 83 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21)\/(-6) - 3)\/((-1)\/(-4)). Let w(v) = v**3 + 7*v**2 + 6*v + 7. Let c be w(-6). Differentiate m - 18 - l*m - c*m with respect to m.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 956*z - 334. Let i(v) = -1910*v + 668. Let y(p) = -2*i(p) - 5*n(p). What is the derivative of y(t) wrt t?\nAnswer: -960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 + -12. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**4 + 52*m + 10 - 2*m**2 + 3 - 28*m - 25*m as x*m**2 + d*m + f + a*m**4 + j*m**3 and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 12*y - 23. What is the tens digit of v(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4450?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + b**2 + 3*b**2)*(b + 1 - 1)*(b**2 - 11*b + 11*b).\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 194 - 165. Suppose 13*c + b = 68. Solve 0 = 3*g - m - 4, -g - m - 2 = -c*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 4*b + 78. Let c = 34 + b. Sort 3, 7, c in decreasing order.\nAnswer: 7, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 33613 from 3.\nAnswer: -33610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = -5 + 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24120 + 11400?\nAnswer: 35520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.091 + 0.335. Let q = y + -0.026. Let t = 3.8 + -3.8. What is the second smallest value in q, -7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 129 or 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 61*o**2. Let k(w) = 117*w. Give k(h(l)).\nAnswer: 7137*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -229*d + 234 + 129 - 577. Let v be f(-4). What is the greatest common divisor of 108 and v?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7 + 2\/7*k**4 + 0*k**3 + 0*k - 4\/7*k**2.\nAnswer: 2*(k - 1)**2*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156)\/1008*-12 - 6\/(-42)*2.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8*6\/(4 - (-2 - 2)). Let h(l) be the second derivative of 7*l - 9\/2*l**2 - 4\/3*l**3 + 0 + 1\/20*l**5 + 5\/12*l**4. Give h(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/7)\/s)**(-24) assuming s is positive.\nAnswer: s**(192\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -23*c - 32 + 101, v - 6*c = -3*c - 9 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 2:37 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -210 + 215. Suppose 4*b - 65 = -p*g, -2*b = -3*b - 5. Calculate the remainder when g is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6993044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1074*g**3 - 853*g wrt g.\nAnswer: -6444*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63040 - 18105. List the prime factors of l.\nAnswer: 5, 11, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2492077?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-1)\/32*4*(-486)\/(-9).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50557?\nAnswer: 13, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (1 - ((-18 - -3) + 6 - -11)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 8. Let d be b(-6). Let w be -1 + 4\/5 - 510\/(-50). What is the greatest common divisor of d and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 11:14 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*n + 15241632 = 6312215. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, h: 3}. What is prob of sequence hh?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * -0.03.\nAnswer: -0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842684?\nAnswer: 2, 210671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10262 + 4991 + 5271 - m - 47*m**3.\nAnswer: -47*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, o: 1, e: 7, i: 6, c: 2}. What is prob of sequence ci?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/5030 and -62\/2515.\nAnswer: 5030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5132692*s**2 - 274415*s wrt s?\nAnswer: 10265384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**5\/20 + 5*w**4\/6 + 5*w**3\/2 - 7*w**2\/2 - 47*w. Suppose -5*g + 60 = -5*i, 0 = -13*i + 8*i - 4*g - 24. What is r(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112212 (base 3) to base 7.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9769392 millennia to centuries.\nAnswer: 9.769392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22756 by 2.\nAnswer: 11378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3145011 (base 7) to base 9.\nAnswer: -640663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29620, 29818, 30016, 30214, 30412, 30610?\n\"Answer: 198*b + 29422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 22*v - 4*t + 14, 18 + 22 = -5*v + 5*t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 107410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1235438?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -6. Suppose -d - d = f. Suppose -3*j - 3 = -d. Let x(k) = 7*k**3 - 2*k**2 + 1. Determine x(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b + -682a9?\nAnswer: -68317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8059198 and 29036?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 + -60. Let o be (3 - a)\/(-12 - -11). Solve 2*p + 0 = o*m - 2, 5*p = -4*m - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231a (base 13) to base 7\nAnswer: 20233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1065231720 to the nearest integer?\nAnswer: 32638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30842933 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -6. Suppose 4*s = k - 2, -3*k + 0*s = n*s - 51. What is the remainder when ((-35)\/14)\/((-2)\/32) is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -121.33 and -0.1.\nAnswer: 12.133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*d**4 + 18*d**4 + 19*d**2 - 53*d**2)*(2*d + 3*d - d).\nAnswer: 4*d**5 - 136*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -20, -69, -148, -251, -372?\n\"Answer: t**3 - 21*t**2 + 7*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 6*v**2 - v + 2. Let c be p(6). Let d(h) = -2*h - 5. Let i be d(c). Let w(a) = 2 - 4*a**3 - a**2 + a + 0 - 3*a**3 - i. Determine w(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4170 + 4166. Let o(y) = 12*y - 12. Determine o(z).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 - 68. Solve -2*j - n = 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570542959.\nAnswer: 7, 81506137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002585161 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*s**4 - 5*s**4 - 1 + 4*s**4 with respect to s.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 114 = -70. What are the prime factors of o\/20 + 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -0.0071001?\nAnswer: 3.0071001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*d + 150 = 36*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.09 + -0.09. Let p = 3.2 - j. Which is the closest to 1? (a) p (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54526920*p**2 + 109053834*p**2 - 54526932*p**2.\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 331 and 2273308?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 3*t**6\/40 - t**5\/60 + t**4\/24 - t**3\/6 - t**2. Calculate the least common multiple of 3 and h(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 154.1 + -154. Which is the nearest to 148? (a) 1 (b) 5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-152)\/76)\/(2\/(-17))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 4*g + 1 + 2, -1 = -g + 3*v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s**3 + 6*s + 6. Let c(z) be the second derivative of z**5\/20 - z**3\/6 - z**2\/2 + 3*z. What is 6*c(p) + g(p)?\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*g + 0)*(1 + 3 - 5)*(5*g**4 + 2*g**3 - 2*g**3).\nAnswer: -15*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c788 - 4?\nAnswer: -1c78c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -628936526 rounded to the nearest one million?\nAnswer: -629000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.3 and -10?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-580)\/(-15) + 3\/9. Suppose y = -10*l + 11*l. Suppose l = 5*f + 9. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -35 and -636.\nAnswer: -671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3708604 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7191 - 115069\/16. What is the common denominator of -39\/4378 and n?\nAnswer: 35024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 115 - 40. Solve -4*g - 1 = s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -921692 - 1.42.\nAnswer: -921693.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301039 is divided by 4563?\nAnswer: 4444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1002211122112022 (base 3) to base 6\nAnswer: 1323514442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6994 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4410 and 1890.\nAnswer: 13230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -45. Let l(x) = 165*x + 8. Is 27 a factor of l(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from qqkxnxqkkqqxn.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(65)\/sqrt(5)*-5 - sqrt(13) - (sqrt(26)\/(2*sqrt(2)) + sqrt(13)) - (sqrt(143)\/sqrt(99) - sqrt(78)\/(sqrt(6) - (sqrt(6) - sqrt(54))))))**2.\nAnswer: 26325\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 268*l - 270*l - 24*l**3 - 2 + 2 in the form m*l + q + y*l**3 + v*l**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4975682 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 56405544571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-2*sqrt(132) - sqrt(132)*2*-4)\/((-3*sqrt(48) + (sqrt(24)\/sqrt(2)*-1 - sqrt(12)))*6))**2*-1 + 4.\nAnswer: 25\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**2 - 15781470*r + 315631400 = 0.\nAnswer: -3156314, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3366 is divided by 288?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 26*w - 1. Let i(k) = 5*k + 1. Let q(f) = h(f) + 5*i(f). Let z be q(6). Round z to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -91670, -91681, -91692, -91703, -91714, -91725?\n\"Answer: -11*v - 91659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/8 + (-81)\/4. Let t be (-48)\/k - (-4)\/(-10). Factor -271 + l**2 + t*l + 271.\nAnswer: l*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 26\/3*y**3 + 6 + 27*y + 0*y**2. Differentiate l(z) wrt z.\nAnswer: 52*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/14*(-6)\/9.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 3*p**2 - 4. Suppose i - 19 = 5. What is the remainder when v(5) is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 8*k + 10 - 9 = 0, 0 = -3*h - 4*k - 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 7*o**2 + 9*o - 10. Let f be v(-5). Is (-28)\/(-70) + 0 + (-978)\/f a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 2. Let s(t) = t - 1. Let f(i) = 2*h(i) - 5*s(i). Let l be f(1). Put l, 1, 5 in ascending order.\nAnswer: l, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75245*h + 74352*h - 150822*h.\nAnswer: -1225*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/99 and 31\/720?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7870, 15913, 23958, 32005, 40054, 48105?\n\"Answer: z**2 + 8040*z - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 4\/3, 1\/12, -0.03, 2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2480 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 d be 3\/4 + 68*3\/48. Suppose 4*z = -s + 535, d*z + 5*s - 620 = 45. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 16*y - 11*y. Let h be y\/(-9) + 2\/(-6). Let j be 2*(h - 15\/(-6)). Solve -12 = j*f + f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 bigger than -1318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98670 by 6.\nAnswer: 16445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -d - 7. Let u be (-6)\/d - 4\/6. Solve 5*i + 10 = -u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 33450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*i**3 - 311455*i**2 - 27342237 with respect to i.\nAnswer: 75*i**2 - 622910*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/13, -2\/3 in increasing order.\nAnswer: -2\/3, -0.5, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9112\/21 - 434. Let n = 138 + -688\/5. Put n, 1\/5, j in ascending order.\nAnswer: j, 1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -1625*c**8\/56 + 23*c**4\/3 - c**3\/3 - 6*c + 13. Find the third derivative of q(m) wrt m.\nAnswer: -195000*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -4*u - 40. Let s = 17 + u. Put -5, s, 4 in descending order.\nAnswer: 4, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 - -41. Let q = i - -34. Let n(z) = -z + 1. Let o(k) = k**2 - k - 1. Determine q*o(v) - n(v).\nAnswer: -v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - (-3 + 1)) + 11 - -68 - (9 - 1).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j = -4*u + 5*u - 27, u = 3*j + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - 2*sqrt(70))*2 + sqrt(70) + -3*(sqrt(70) - sqrt(70)*1))\/((sqrt(120)\/sqrt(2))\/sqrt(6) - (sqrt(10) + (sqrt(110)*-2)\/sqrt(11))).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -4*m + 72. What is the highest common factor of 30 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -4*a - 84, -9 = 3*l + 32*a + 39*a - 76*a - 120 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1424 and 9704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -1\/3*r**3 - 8 + 4*r**2 - 6*r. What is s(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*f**2 - 2*f - 12956*f**3 - 12963*f**3 + 25924*f**3 + 3*f**4 to c + o*f**4 + d*f**2 + g*f**3 + w*f and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19042 and 11388.\nAnswer: 108425148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8970461?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -r + u - 138, -3*r + 4*u - 748 = 0. Does 31 divide (3\/(-6))\/(2\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.194666 to 2 decimal places.\nAnswer: 53.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 4528.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2268 (base 13) to base 16\nAnswer: -12d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61458315*g**3 + 48796330*g**2 wrt g?\nAnswer: -368749890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1399 is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(32980\/(-194))\/(10\/(-1)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8354, 8338, 8304, 8246, 8158, 8034?\n\"Answer: -y**3 - 3*y**2 + 8358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 11*d + 11. Let w be g(-12). Let a be -3 - w\/(4\/(-6))*-6. Calculate the highest common divisor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9773 = -15*q + 2797. What is q rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.6876 from -0.03.\nAnswer: 0.6576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5294443 or 0.3?\nAnswer: -5294443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(9)*-3 - (sqrt(64)\/sqrt(4) - sqrt(16))\/sqrt(2))\/((sqrt(48) - sqrt(1200)*-5)\/(2*(sqrt(12)*-1 - sqrt(12)))).\nAnswer: 6*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 1381*f - 116021. What is p(84)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 777565 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*s = 2*s + 855, 4*s = -2*a + 554. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = 10*k - 2232. What is the remainder when k is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b149 (base 15) to base 5.\nAnswer: 10304134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*((b\/(b\/((b**1*b)\/b)))\/b)\/b)**(-1\/6)\/(b*b**1)**(3\/2))\/((b\/b**(-1))\/(((b*b\/((b*b*(b\/b**(5\/4)*b)\/b)\/b*b)*b)\/b)\/b*b))**25 assuming b is positive.\nAnswer: b**(-187\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and -0.3465817.\nAnswer: 3.465817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3 + 2*a + 0*a + 1 - 2*a**2. Let z be w(3). What is the units digit of 4\/z + (-51)\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(-2*c + 10 - 10) - 9*c + 7*c - 15*c.\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 810921.3 to the nearest 1000.\nAnswer: 811000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, 5, 4, 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, 0.3, -0.1, 485?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**3 + 7*v + 2*v**3 - 4*v**3 - 5*v**2 + 5 + 3*v**3. Let h(m) = -m**2 - 16*m + 10. Let y be h(-17). Is 18 a factor of z(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1508430 + 0?\nAnswer: 1508430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -9*y + 32. Is 17 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 5:36 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)\/((b**(2\/5)\/b*b*b)\/b*b))**(-47) assuming b is positive.\nAnswer: b**(799\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.48 - 0.08. Which is the nearest to -1\/2? (a) 0 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/19 + 26\/57. Let z be 558\/248*(-16)\/(-12). Factor 7\/3*a**2 + 0 - o*a - 5\/3*a**z.\nAnswer: -a*(a - 1)*(5*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/1053838972 and 31\/22.\nAnswer: 11592228692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -965.8 + 4202.\nAnswer: 3236.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-42)*20\/5.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p + 2*p. Suppose p = 3*s - 6*s - 4*b - 226, 2*s - 3*b = -145. Let l = -74 - s. Solve l*g - 3 = g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/5*(-100)\/40?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -3387\nAnswer: 3386.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 0*w**2 + 2*w**2 + (0 + 4 - 3)*(2*w**2 + w**2 - 5*w**2))*(2 - 1 + 4)*(3*w - w**2 - 3*w).\nAnswer: 5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 + 3*m**2 - 49 - 48.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 2:46 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, 4, 2.61, 22?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 3*a**7\/70 + 19*a**6\/40 + 33*a**5\/20 + 9*a**4\/8 - 24*a**2. Factor r(x).\nAnswer: 3*x*(x + 3)**2*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 64*o + 448. Give f(-12).\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 832 - 82 = -3*k. Let t = k + 282. Is 35 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -1\/12*n**4 + 7\/6*n**3 + 2*n + 0 + 4*n**2. Calculate l(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*b**3*o + 12*b**2*o**2 + 26*b*o**2 + 5*b wrt b.\nAnswer: -96*b*o + 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m - 24. Let d be i(-9). Let r(f) = -43*f**3 + 8 - 5 + 103*f**d - f**2 + 11 + 3*f. Let c be r(-6). What is c rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*1\/4)\/(8\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, i: 4, f: 2}. What is prob of picking 1 a, 2 i, and 1 f?\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.106? (a) 2 (b) -6\/11 (c) 25\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.0336, 0.07, 35.\nAnswer: -0.1, -0.0336, 0.07, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 312540, 312516, 312482, 312438?\n\"Answer: -5*i**2 - 9*i + 312554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 31*c**2. Let i(g) = 10*g**2 - 11*g + 11. Let f(r) = 2*r**2 - 2*r + 2. Let m(w) = 11*f(w) - 2*i(w). Determine m(s(p)).\nAnswer: 1922*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -21, -1.1, 0.3, 20.8?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23824.944us to hours.\nAnswer: 0.00000661804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.000644 and 7.93?\nAnswer: 7.930644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66\/30685 + -17312147\/153425. Let c = -113 - h. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.26 - 0.08. Suppose -39*j - 83*j = 0. Are j and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1842 is divided by 805.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1010 and 6783362.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1849\/425334 + 1\/494. Let j = -1595\/1722 + a. Calculate the common denominator of 75\/14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.039015ng in kilograms?\nAnswer: 0.000000000008039015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58 - -1) + (956 - 982) + 28.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, n: 2, t: 2, s: 1, y: 1}. Give prob of sequence nnys.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 39*r + 5. Let a(t) = -682*t - 88. Let d(f) = -5*a(f) - 88*b(f). Let l(c) = -2*c - 8*c + 10*c + c. Determine l(d(i)).\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**2\/4 + 15*r\/2 - 75\/4 = 0. What is r?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/10 and 25\/3828.\nAnswer: 19140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 13004 = -10651. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -23.22717.\nAnswer: 9.290868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, f: 3, p: 2, u: 6}. What is prob of picking 2 j and 1 f?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12403016 (base 8) to base 9.\nAnswer: 5156768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63504?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 10) in base 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y**2 - y + 1. Let z = 33518 + -33357. What is the remainder when z is divided by o(-2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46510694.38684+11\nAnswer: -46510683.38684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2873\/15741 - -1\/1431. Let h be -2*((-102)\/32 - -3). Put v, 1, 0.5, h in descending order.\nAnswer: 1, 0.5, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -292 - -296. Put z, -5, -228 in descending order.\nAnswer: z, -5, -228","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 4*h - 3. Let v be y(6). Suppose 6*f - v*f + 27 = 0. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29620 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: What is prob of sequence cxc when three letters picked without replacement from {c: 3, x: 2, l: 4, h: 3, v: 4, n: 2}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 161985173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -3*j - 36. Suppose -2*f = -2*q - 44, -j = 3*q - 7*q. Solve 4*o - 4 + 20 = 2*w, 5*o = -f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 58160*c + 149254144.\nAnswer: 4*(c - 11212)*(c - 3328)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 24*p + 37 - 34*p - p**2.\nAnswer: -p**2 - 10*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6574427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-194)\/(-78) + (-6)\/39. Is 3 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 - 64*c**2 + 1749*c.\nAnswer: c*(c - 159)*(c - 33)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -74*c**7\/105 - c**6\/24 + 305*c**4\/12 + 3*c**2 - 190*c. What is the second derivative of h(j) wrt j?\nAnswer: -1776*j**2 - 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**5 + 100*b**4 + 24*b**3 - 2880*b**2 = 0 for b.\nAnswer: -5, 0, 6, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7533853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -2*q - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2020 (base 4) to base 13\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 18*r + 23. Let m be b(19). Suppose 0*u - 94 = -m*h - 5*u, 5*h - 2*u - 134 = 0. What is the least common multiple of 5 and h?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/30 and 1\/93.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(6\/(-3)))\/(6\/42). Suppose -i*d + 413 - 1799 = 0. Is d less than or equal to -101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2895, 3\/2, -1\/2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 - 5*g**2 + 2*g**2. Let p(s) be the third derivative of 0 + 0*s - 1\/15*s**5 + 0*s**3 + 0*s**4 + 18*s**2. What is t(p(h))?\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11471.45949 + 0.24051. What is o rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*z. Suppose -2*s = -6, -2*h + z*h = -4*s - 142. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14732 != 14733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4618 divided by 1.\nAnswer: -4618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -392 + 388 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -156 - -159. Suppose 4*h + 3*z = 9*h - 11810, 0 = -t*h + 3*z + 7092. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143 and 3487?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 13*m + 499. Calculate l(-38).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 186124?\nAnswer: 186124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001041606 to six decimal places.\nAnswer: 0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1920 - 65*s**3 - 86903572*s + 631*s**2 + 379*s**2 + 86899892*s.\nAnswer: -5*(s - 8)**2*(13*s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -2 - 2) + -3 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 14 = -5*j. Let p = 24 - j. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3128 less than -1.152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 6*l + 34 = 0. Suppose -4*r + l*v + 6 = 0, -2*v + 2 = -2*r - 0*v. Solve r*n + 0 + 8 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -485844, -971793, -1457742, -1943691, -2429640, -2915589?\n\"Answer: -485949*x + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56603.\nAnswer: 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210\/(-11620)*166*(-2)\/6*53.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (0 - 15) + 11.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 + 327 - 14*o - 79 - 84 - 81.\nAnswer: -14*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 11:34 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 447 divide 172495065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -282.\nAnswer: 8.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -h + 3*a, 5*h - 50 = 6*a - 10*a. Let n be (-7)\/(-2) + 2\/(-4). Suppose 2*i = -r - 4, 2*r + r + 4 = -2*i. Solve -n*g + h = -r*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-10)*(15 - 467\/31)\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -82*d**4 + 107 + 221 - 4*d**3 + 0*d**3 - 10 + 124 wrt d.\nAnswer: -328*d**3 - 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -4. Suppose -u + 243 = d*u. Calculate the remainder when u is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 264 + 6?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-72)\/(-84) + (-3)\/(-21)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5420 = -44*l + 5596 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -14844, 1, 1539.\nAnswer: -14844, -1, 1, 1539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 19064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**5\/20 - h**4\/4 + 89*h**3\/6 + 8*h**2 - 230*h. Let j be c(-11). Solve b + 6*d - 4*d - 5 = 0, -4*b + 8 = j*d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03 + -4.97. Let y = 1.7 + 0.3. What is the nearest to 1\/4 in y, k, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 297\/15)*20. Let c = -88 + n. Is c a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -u, -2*q = -4*u + 7 + 1. Let k(x) = 2*x**2 - 3*x + 1. Let b be k(u). Calculate the highest common factor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3112131220 (base 4) to base 5.\nAnswer: -211102230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -381, -380, -379?\n\"Answer: n - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103313 - 22?\nAnswer: -103340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 2750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 0*v**3 + 1\/6*v**4 - 1\/60*v**5 + 8*v**2 + 0*v + 0. Let w(n) = 2*n**2 - 7*n. Determine 11*i(f) + 6*w(f).\nAnswer: f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 26*s - 136. Let z be m(13). What is the first derivative of -2*n**3 + z + 216 + 50*n**2 - 428 wrt n?\nAnswer: -6*n**2 + 100*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 464 - 465. Let r be (((-56)\/6)\/7)\/(-3 - b). Is r <= 292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78736961747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -6, 1600, 2, -3, -26 in decreasing order.\nAnswer: 1600, 2, -3, -6, -14, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 5*v**2 + 5*v - 2. Let u be w(4). Suppose 2*q - 5 - 9 = 0. Factor -u*d**3 + 2*d**2 - q*d**4 - 2*d + 5*d**2 + 4*d**3.\nAnswer: -d*(d - 1)*(d + 1)*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011111000 + -100001010001?\nAnswer: -101101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3649593?\nAnswer: 3, 83, 14657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(99)\/(sqrt(9)*1) + (sqrt(891)*-2*4)**2)*-4.\nAnswer: -228112 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*x + 141. Calculate the remainder when x is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jve when three letters picked without replacement from {r: 3, e: 4, v: 1, j: 2, m: 9}.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/10*(-10)\/(-3)*583389\/(-43214)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(720) + -1)*-4 + (sqrt(10) + sqrt(120)\/sqrt(3))\/(-3*sqrt(8)).\nAnswer: -385*sqrt(5)\/2 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21729, 21747, 21773, 21813, 21873?\nAnswer: 21959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 520984 divided by 130246?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*r - 69*r + 1377 = -59*r for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/5, -5, 211, 625, -2\/3, -2\/5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 231071 at least 231070?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 13 = 3*r - 6, 4*r - 1 = 5*y. Let k(x) = -53*x - 39. Let z(u) = -u + 2. Let n(t) = y*k(t) + 2*z(t). Differentiate n(h) with respect to h.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33666 (base 7) to base 10\nAnswer: 8574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 7:47 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 212?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 95 = 113. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2510958?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 101*g**2 + 33*g - 1482. Give w(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 85 and 89880?\nAnswer: 1527960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13030598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 5*z - 28, z + 7 = 2*r + 10 + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67486*l**2 - 6 + 6.\nAnswer: 67486*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20580 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.899 + 0.077. Let v = -0.94 - d. What is v rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*h + 335 - 272 = 0, k + 21 = 5*h. What is the closest to k in 149, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n**3 + 5*n**3 - 4*n**3.\nAnswer: 15*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2156)*1 + (sqrt(44) - (sqrt(44) + (sqrt(308)*2 - sqrt(308))\/sqrt(7) + sqrt(44))))\/((sqrt(3872)*1)\/(-2*sqrt(968))).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -272.768 to one decimal place.\nAnswer: -272.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -560, -0.8, 0.1 in decreasing order.\nAnswer: 0.1, -0.8, -5, -560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10048863 greater than 30146585\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84 + -69. Calculate the remainder when h is divided by -2 - (-10 + 0\/1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003382 rounded to seven dps?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 65\/37013?\nAnswer: 65\/37013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-10)\/z))\/z**(-10\/3)*z*z**(-10)*z**(3\/10)*z assuming z is positive.\nAnswer: z**(229\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 divided by 1?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 0.012 (c) 0.9 (d) -4 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1745819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 5*a = -12984 + 12802, -297 = 3*s - 4*s - 8*a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 5*c**2 - 2*c + 7. Let x be n(0). Let d(g) = -g + 24. Determine d(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mha when three letters picked without replacement from xmmnvhnaa?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1403\nAnswer: 1\/1403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/9 and -26\/71.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -12*i + 30. What is the lowest common multiple of i and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 10*a**2 + 3. Let n be j(-10). Suppose 0 = -5*l + 2*o + n*o + 50, -5*l + 74 = 3*o. Let q = l + -10. Solve 0*m = q*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 7, p: 5, z: 2, k: 1, u: 1}. Give prob of sequence uz.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 2\/19 (c) -35833 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 7 - 11*h**2 + 18)*(2*h**3 + 2*h - 3*h**3 + 3*h**3).\nAnswer: -22*h**5 - 18*h**3 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -958873705 less than 0?\nAnswer: 958873705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 12:12 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 24974 = 5*o, 10843 = 4*z - 2*o - 14117. Let t = 74839\/12 - z. Calculate the common denominator of t and -2*2*(-83)\/40.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y. Let p(d) = -4*d + 17. Let n be p(0). Suppose -5*h = -4*r - n, -3*h + 17 = 2*r - r. Let b(k) = -12*k**2 + 19*k**r - 11*k**2. Determine b(o(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 44343\/(-6)*14\/(-504). Let k = r - 1579\/8. Let m = -2228 - -22249\/10. What is the common denominator of m and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/15 - 104\/(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7196 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -999 - 391*m + 2001 - 1002 in the form t*m + x and give t.\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 100112570 rounded to the nearest 1000000?\nAnswer: 100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 1319134702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6700 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 985.4629 litres?\nAnswer: 985462.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**3 - 2*v**2 + 4. Let f(d) = -2*d. Let i be f(1). Let k be q(i). Let w = -6 + k. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4)*(-200)\/125?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/17010*27)\/((-1)\/(-2))?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-28)\/(-21))\/(1\/3489). Let s = -3310 + l. Suppose s = 5*j + 532. What is the highest common factor of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v - 1. Suppose 0 = 4*f - 3*q - 5, -10 = -0*f + f + 3*q. What is m(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 3*y + 4. Let g be l(-5). Let f = g + 16. What is the remainder when f is divided by (-20)\/15*(-9)\/6 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0906 and 64393115982.\nAnswer: 64393115982.0906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (-3 - (-5 + -12 - -56))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 2. Let a be p(4). Suppose -25 = -a*b - 3*b. Find the third derivative of -2*k**2 + 2*k**6 - 13*k**b + 13*k**5 wrt k.\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + (sqrt(72)*1 + sqrt(72))*-5)\/(-1*sqrt(150) - -4*sqrt(24)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*g**4 - 3*g**2 + g + 5099 with respect to g.\nAnswer: -52*g**3 - 6*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.849 + 352.849. Let w = 440.1 - g. Round w to the nearest integer.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1298\/(-295)*(0 + 5) + 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 2:40 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 - (48 - 43).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 7 + -6 + (-4 - -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 134 = -94. Let z(x) = 3*x**2 - x - 7. What is the remainder when z(-5) is divided by 585\/h - 6\/(-16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/((x\/x**(-2\/7))\/x)))**35*(x\/(x*x**(2\/15)))\/(x**(2\/5)\/x))**(-7) assuming x is positive.\nAnswer: x**(-1099\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d + 10. Let z(c) = 5*c + 9. Let x(a) = -2 + a + 5 + a. Let y(g) = -11*x(g) + 4*z(g). Determine -2*u(w) + 7*y(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 188137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-16)*f**28 assuming f is positive.\nAnswer: f**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlfbv. Give prob of sequence vlf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from {r: 2, g: 2, j: 1, l: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 249288 and 4488?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1182668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i*y**3 + i*y + 2*i - 851*y**3 - 5*y**2 - 1321*y wrt y?\nAnswer: -6*i*y - 5106*y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-12) + 262\/(-6). Let j = -26 - s. Suppose -765 = -5*u + 225. What is the greatest common divisor of j and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + 0.5. Let q = -3840.4 - -3837.4. Let l = 9 - 9.09. Sort q, l, -0.2, p.\nAnswer: q, p, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -1060*k + 12642. Determine m(12).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13040)\/(-15485)*3\/48.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 36545746.\nAnswer: -5\/36545746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3533*n**3 - 5*n**2 + 153*n + 764. Is u(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-28)*1)\/((16\/(-36))\/(630\/405)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.105537 years in decades?\nAnswer: 0.6105537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121685204 to the nearest integer?\nAnswer: 11031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 7*w**2 - w - 3. What is the least common multiple of 14 and a(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 8*c**2 + 16*c - 38. Let n be u(8). Differentiate 9 - 11 + n - 109*w wrt w.\nAnswer: -109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 60 = -3*h. Let f = h + 9. Which is the closest to f? (a) 0 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6434 divided by -7?\nAnswer: 6434\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 40 = 36. Let a = z - 7. Let b = a - -10. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 3*h**2 + 4*h + 2. Let p be o(-2). Let b be 24\/p + (-20)\/(-70). Let z(n) = -10*n - 11*n + b*n. Let i(v) = v. Give i(z(w)).\nAnswer: -19*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 1933 = 3*b + 1876, -11*k + 24*k = -5*b + 36 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76529 - 76571.541. Let l = c + 42.9. Let h = l + -0.059. Sort 0.2, h, 2\/3 in decreasing order.\nAnswer: 2\/3, h, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6094 = -12*o + 1346. What are the prime factors of o?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 7*h - 28. Let n be x(13). Suppose d - 66 = -n. Let u = -22 - -21.98. Which is the second biggest value? (a) -4\/3 (b) d (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + b**2 + 4. Let f be i(0). Let z(y) = 310*y. Let s(h) = 258*h + 1. Let t(a) = -6*s(a) + 5*z(a). Give t(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -12*h. Let c(s) = 5*s + 17. Let g(w) = w + 12. Let j(n) = -c(n) + 2*g(n). Give j(d(t)).\nAnswer: 36*t + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3306 and 225978?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 116208 and 23672.\nAnswer: 1278288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - -6*(sqrt(78) - (sqrt(78) - 3*sqrt(78)))) + sqrt(78))\/(-6*sqrt(18)\/sqrt(3)).\nAnswer: -10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 6. Let v(k) = -k + 1. What is g(q) + 4*v(q)?\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = b + 12. Suppose -2*k - 60 = -8*k. What is the lowest common multiple of b and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1\/q)**(2\/15)*((q*q**(4\/7)\/q)\/q)\/q**17 assuming q is positive.\nAnswer: q**(-122\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7*i**3 - 5*i - 3. Suppose 0 = 2*s + 53 - 57, -4*f = -5*s + 34. Let x(y) = 8*y**3 + 6*y + 3. Determine f*b(p) - 5*x(p).\nAnswer: 2*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 - ((-5 - -5) + 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1\/3 (b) -3\/7 (c) 1\/4 (d) -188\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5920 and 1080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 20 + (55 - -140 - 95)\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2892, 1, -13, 3 in decreasing order.\nAnswer: 3, 1, -13, -2892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2750291*n**2 + 14613578 wrt n?\nAnswer: -5500582*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 2*m**4\/3 - m**2\/2 - 15*m + 3. Let c(a) be the first derivative of x(a). List the prime factors of c(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.9 - -7.9. Suppose -6*h + 2*h = -8, -h + 262 = -5*a. Let n be 4\/(-14) + a\/14. Sort n, q, -1 in decreasing order.\nAnswer: q, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 16, 21, 26?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 8) in base 12?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 4*o**5\/35 - 3*o**4\/7 + 8*o**3\/21 + 672. Solve f(p) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -81 + 82. Let l(s) be the first derivative of 95*s**3\/3 + 1. Is l(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -204 - -10?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**3 + 2336*u**2 + 9292*u + 6960 = 0.\nAnswer: -580, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/(64\/1014612) - (-126)\/(-504)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (77 + -1)*3\/(-64) and (-2)\/(-6*190\/(-1653))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 938 and 2864.\nAnswer: 1343216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016563 rounded to 3 dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from vobfl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 99*o**2 - 2. Let s be x(-1). Let p = -147 + 243. Which is bigger: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5766320194 to the nearest integer?\nAnswer: 1793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -735.55 - -757. Let n = -22 + x. What is n rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/5*(-10)\/(-4). Let u(y) = -9*y + 7. Let w(p) = -8*p + 8. Let z(k) = 5*u(k) - 4*w(k). Let v be z(r). What is v rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmtmmtjjmmmmmmmmmmj. Give prob of sequence mtjj.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, p: 12}. What is prob of sequence npn?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1581191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 3*l - 15, -l - 9 = -5*c - 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 6 (c) 9\/8 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**4\/4 - 13*x**3\/3 + 8*x + 12. What is the smallest common multiple of t(-13) and 1*-14*2\/(-4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 + 6)*(-9 - 2). Solve 16*x = y*x + 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 31*j**2 + 98*j - 16. Let b be i(-34). Suppose 0 = -3*y - b + 774. What is the least common multiple of 2 and y?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-22))\/(1*(-4)\/(-4)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1 - (-44 + 8 - -1) - (21 - 9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1350.6887813 - 0.06385\nAnswer: 1350.6249313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(-9750)*5*((-2)\/(-1))\/2?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, t: 4, r: 2, s: 1}. What is prob of picking 1 o, 1 r, and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 275589 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s - 10. Let z(d) = 3*d - 10. What is 2*u(f) - 3*z(f)?\nAnswer: -f + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**(-5)\/(a*a**(-3\/11)*a*a*a*a*a\/(a\/(a\/(a**(-7)\/a*a)*a))*a*a) assuming a is positive.\nAnswer: a**(-63\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -809, -1565, -2337, -3125?\n\"Answer: -8*m**2 - 732*m - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3032 + 12?\nAnswer: 3110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -74*i + 1423. What is s(19)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3))**(34\/3)*(k\/(k*k**(-1\/4)\/k*k))\/((k*(k\/(k\/k**(-2\/3)))\/k)\/k) assuming k is positive.\nAnswer: k**(205\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a day?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-15))\/(224\/42). Which is the closest to 0.1? (a) -5 (b) -3 (c) -4 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3173*a = -3140*a - 692 + 164 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3 + 6 = 0. Suppose -3*k + 928 = k. Find the common denominator of (3\/(-12))\/(v\/k) and 7\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 17\/4 of a minute?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/10 + (-54)\/(-40)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**3 - 3*n**2 + 4*n - 1. Let p be d(-3). Suppose p*s = 10*s. Solve s = 7*w + 6 + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15634 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + j - 3*j)*(-1096*j - 425*j - 696*j - 360*j - 141*j).\nAnswer: 5436*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*q - 2*q - 2*q + (1 - 2 + 2)*(0 + 2*q + 0))*(-7 + 16 + 44).\nAnswer: 424*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 349413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9264 by 2316.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8\/621 + 6449\/2484. Calculate the common denominator of q and -103\/58.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 752930140 rounded to the nearest one hundred thousand?\nAnswer: 752900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 12*t**2 - 10*t - 13. Let s be r(11). What is the units digit of ((-22)\/8)\/(s\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -46, -35, -8, 41, 118, 229?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362*c**3 + 323*c**3 - 684*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5829.42*-66.\nAnswer: 384741.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a (base 11) to base 2.\nAnswer: 101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 7*v + 2. What is the lowest common multiple of z(-7) and (-1)\/3 - (-19)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 - -122?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/((a**(-1\/9)\/a)\/a*a))\/a**(4\/7))**(-30))**(8\/9))**49 assuming a is positive.\nAnswer: a**(-54320\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117\/25 + -8207\/1775. Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, q: 3, u: 3, a: 7, d: 1, k: 2}. Give prob of sequence uv.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3.1. Suppose 38 - 10 = 4*k - 4*q, 4*q = k - 19. Which is the closest to -7? (a) -2\/9 (b) z (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3746\/9 - 64\/288 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13692 and 24.\nAnswer: 27384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 11*l - 13. Calculate x(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13.5 from -30.\nAnswer: -16.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 15*l**2 + 16*l + 41. Let p be c(16). Suppose -9 + p = 2*v. Suppose -3*r + 139 = 43. Calculate the highest common factor of r and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28424 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3 - 9 = 0. Suppose 12 = -a*i - 4*u, -2*i - 2*u + 7 = 23. Let n(z) = -z**3 - 11*z**2 - 14*z + 7. What are the prime factors of n(i)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 + 24*d**2 - 39*d + 18.\nAnswer: -3*(d - 6)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36886 + -35905. Solve -28*j - t = 81*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5 = 4*q. List the prime factors of 4 + -1 + 9 + q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 19 = -21. Suppose -4*n + 5*q + f = 0, 45 - 5 = 2*n + 5*q. Suppose 2 = 4*d - n. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (947*b + 711*b - 450*b + (-1 + 2*b + 1)*(0 - 2 + 4))*(0*b + 2*b + 0*b)*(-3 + 3 + 2*b).\nAnswer: 4848*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70\/373 - -20588\/18277. Find the common denominator of j and 33\/8.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*t - 3. Suppose 18*x - 10*x - 24 = 0. Solve 24 = -y - t*u - x*u, -28 = -3*y + 5*u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3217 + 3217. What is the nearest to d in -9\/2, -2\/17, 5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 23*v**4\/12 + 90*v. Let q(n) = -n. Determine x(q(p)).\nAnswer: 23*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -2*s + 2400*f - 2399*f, 16 = 4*f. Suppose -m + 2*d = 2, 5*m - 3 = m - 3*d. Sort s, -1, 2, m.\nAnswer: -1, m, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(88)*-2 + sqrt(88)))\/(sqrt(8) - ((sqrt(40) + sqrt(40)*2)\/sqrt(5) + sqrt(8)) - sqrt(8)))**2.\nAnswer: 275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3046, 6410, 10060, 13996?\nAnswer: 18218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2063017634?\nAnswer: 2, 1031508817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2001 and 89413512?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f + 40. Let h be v(-18). Let t = 84 + h. Let x = 48 - t. What is the second biggest value in x, -3\/5, -0.5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s. Let g(i) = i + 1. Let n(u) = -2*u - 3. Let z(a) = 6*g(a) + 2*n(a). Calculate z(c(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 4)\/((-1)\/(-21)). Let h = w - -34. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 - 3.8. Let v = 4 + o. Which is the third biggest value? (a) 1 (b) v (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2194026091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -5, 1, 5, -2, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 4:39 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 4:42 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -403*n**2 - 344*n + 499706 wrt n.\nAnswer: -806*n - 344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 3*w = -3*o + 1, -w + 3 = 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 150, 1, 4 in increasing order.\nAnswer: 1, 3, 4, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qii. Give prob of sequence qii.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -2*v**3\/3 + 5*v**2\/2 + 7*v - 1. Give z(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 4, 0, 2.\nAnswer: -4, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -33*w**3 - 15*w**2 - 3*w + 8. Let z be f(-4). Suppose -z = -8*q + 172. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = -15*i - 13*h + 460 - 531, 5*i = -4*h - 19 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2544 (base 8) in base 3?\nAnswer: -1220010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*sqrt(1053))**2.\nAnswer: -18*sqrt(13) + 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/4 + 969*a - 938961.\nAnswer: -(a - 1938)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.053, -0.33, -101, 2, -5 in descending order.\nAnswer: 2, 0.053, -0.33, -5, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**5\/60 + q**2. Let z(x) = x**2 - 13*x + 46. Let b be z(12). Let c(p) = -14*p + b*p - 14*p. Calculate c(m(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, 4, -128, 2 in increasing order.\nAnswer: -128, -1, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 0*q + 0*q**3 - 1\/510*q**5 - 1\/34*q**4 - 45*q**2 + 0. Let w(d) = 0. Calculate d.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11\/7 (b) 283 (c) -3\/8 (d) 2 (e) 20 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1685 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*1\/8)\/((-149)\/(-1490))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 - 2 + 2 + (-g**2 + 3*g**2 + 0*g**2)*(2*g - 2*g - g) - 329*g**3 - 1427*g**3 - 1236*g**3)*(-3*g + 4*g + g + (2*g + 2 - 2)*(2 + 3 - 3)).\nAnswer: -17958*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3573464659.\nAnswer: 127, 1657, 16981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3883284\/89 or 43633?\nAnswer: 3883284\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 26\/17*s - 2\/17*s**3 - 20\/17 - 4\/17*s**2 = 0.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -73 - 6?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 3:03 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-6) + (-122)\/(-4). Suppose 4 = d - u. Calculate the remainder when d is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 600 - 410. Suppose -9*x + 4*x + u = 0. Suppose -q = -5*a + x + 94, q = -3*a + 84. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 162*t**3 - 7*t**2 - 2*t - 2. Let f(z) = z**3 - z**2 - z - 1. Let k(c) = -d(c) + 5*f(c). Is k(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -1. Suppose 0 = -12*o + 2*o + 10. Let g(l) = -2*l - 1. Suppose 2*t - 6 = -4*h, -3*h - 12 - 11 = -4*t. Determine h*g(k) + o*j(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30629995?\nAnswer: 5, 11, 19, 29311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 743*q**6\/15 - 1748*q**2 - 5269*q. What is the derivative of w(z) wrt z?\nAnswer: 5944*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 267154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/162 and 11\/86?\nAnswer: 6966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*p*w**3 - 2*p*w**2 + 115*p*w - 4194*p*z**2 + 11*w**3*z**2 + 2*w**3*z - 98*w**3 + 8*w wrt z?\nAnswer: -8388*p*z + 22*w**3*z + 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12527592 and 2212?\nAnswer: 989679768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + (sqrt(1539) + 0)**2)*-3.\nAnswer: -4620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11363 is divided by 404?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 2\/5*j**4 + 72\/5*j**3 + 132\/5*j - 202\/5*j**2 = 0. What is j?\nAnswer: 0, 1, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 924 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: What is prob of sequence oooe when four letters picked without replacement from {b: 3, e: 3, k: 1, o: 6}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3 + 6856*c**2 - 304378*c - 311236 = 0. What is c?\nAnswer: -1, 46, 3383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115068 - -671539. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/2 + 77*b**3 + 2409*b**2\/2 + 5512*b + 4384.\nAnswer: (b + 1)*(b + 8)**2*(b + 137)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09 - -0.1. Is n at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 8 = -7. Find the third derivative of 2*m**3 + 3*m**2 + 3*m**x - 4*m**2 - 6*m**3 wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 8 = 3*g - 15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 510*a**4 + 544*a**2 - a - 33. Let o(h) = 102*h**4 + 109*h**2 - 6. Let g(n) = -2*d(n) + 11*o(n). What is the third derivative of g(r) wrt r?\nAnswer: 2448*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 5*l**2 + 0*l**2)*(-1 - 3*l**2 + 1).\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 41*q + 77. What is the remainder when w(2) is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 7:04 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 50.1.\nAnswer: 50.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 407697717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/1521576 and -93\/875510?\nAnswer: 220628520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -50 (b) 59 (c) 1.6 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (83 - 11) + -5 - (34 - 36)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4176 = 5*l - 4*p, -p = -4*l + 4161. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 12 = 0, -18 = -r + y + 2*y. Solve -s + 3*z = -r - 5, 3*s + 7 = z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 120 = -2*d, -d + 2*w = 3*d + 192. Let r = d + 58. Let h(j) = -2*j**2 + 18*j - 10. What is the remainder when 10 is divided by h(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29.6 + 32. Let u = -212 + 214.338. Let c = u - i. What is c rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 6*w + 19 = -7*w, -2*q = 3*w - 13. Suppose 4*u - 187 = 373. What is the greatest common factor of q and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 436483560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-13\/5)\/a)**49 assuming a is positive.\nAnswer: a**(-882\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/5 + -23 + 0. Let v be a\/(-3) + 2\/(-1). Solve 0 = -r - 1, -k - 4*r - v = -3*r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-36)*6 + (5 - -2). Suppose -5*g + l = 3. Is -15*(g\/((-15)\/153) - 3) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 6*j - 3*j)*(-2*j**2 - 3 + 3) + 6*j**3 + 0*j**3 - 3*j**3 + (2*j - 4*j + j)*(3 - 3 - j**2 + (270*j - 41*j - 16*j)*(-j - j + j)).\nAnswer: 219*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26844 = -347*l - 1887*l + 138544 for l.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3*w + 3 + (w + 1 - 1)*(-2 + 4 - 1)*(1 - 1 - 4).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5*j + 295 + 1, -98 = -v + 2*j. Let i be (62\/v + -1)\/((-59)\/531). Are 4 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1405408 - -0.03386865. Let r = -0.0255905 - o. Let g = r + 0.2. Round g to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5350*q - 5344*q. Which is bigger: q or 767?\nAnswer: 767","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/45)\/((-405)\/(-25) + -16)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 2\/41 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*k + g, -6*g + g + 25 = 0. Let w(n) be the third derivative of 0*n - 7\/20*n**k - n**3 - 6*n**2 + 9\/8*n**4 + 0. Factor w(i).\nAnswer: -3*(i - 1)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63490 - 63489.99848959. What is y rounded to five decimal places?\nAnswer: 0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7864*s**2 + 6822*s**2 - 7411*s**2)*(-s**2 + 5*s**2 - 5*s**2) to the form q*s**2 + y*s**3 + a*s**4 + m + d*s and give a.\nAnswer: 8453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 11 - 386*p - 110*p - 19.\nAnswer: -496*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2, -82, -306, -742, -1462?\n\"Answer: -12*c**3 + 2*c**2 - 6*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 184*w*x**2 + 15*w + x**5 - x wrt x?\nAnswer: 368*w + 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3612110 is divided by 3278.\nAnswer: 3032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*sqrt(5)*-4 + -1*sqrt(320)*-5.\nAnswer: 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.15 - -0.22. Let o = u - 0.070082. What is o rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -437 + 656. Suppose -n*m = -222*m + 402. What are the prime factors of m?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*48\/28 + (1 - 5). Let w be ((-6)\/(-10))\/((-1)\/5). Let m be 36\/(-8) - w\/1. Which is the closest to m? (a) -4 (b) -0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2485 is divided by 622?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(35) - sqrt(35)*-2)\/sqrt(7).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 b when two letters picked without replacement from ebyhcccehsbeb.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 956 and 1342702?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*n**3 + 425289*n*v**2 + 7374651*v**2 wrt n.\nAnswer: 12*n**2 + 425289*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 38?\nAnswer: 7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 4*x = 32, -3*q + 5*x - 17 = -4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2. Let q(y) = -2*y - 8. Let l(b) = -b - 5. Suppose g - 10 = -g. Let a = -10 + g. Let w(f) = a*q(f) + 8*l(f). What is s(w(t))?\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 5*s + 16. Determine u(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 3*v + 34, -2*f + 5*v - 2 + 12 = 0. Let b be (2 - f) + (-1 - -3). Find the common denominator of 39\/5 and ((-11)\/b)\/(25\/(-105)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78 or 31338?\nAnswer: 31338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-4) + -2 + 4)*52. Let x = p - -41. Let j = 0 + 3. Solve -j*s + x = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2 = -0*r. Suppose -o - r + 18 = 0. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.558677 meters?\nAnswer: 0.000558677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*x = -12078 + 45678. Calculate the greatest common factor of 160 and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**3*x)\/x*x**(-5\/7))\/(x**(7\/3)\/(x**(8\/7)*x)))**(3\/32) assuming x is positive.\nAnswer: x**(11\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2541 divided by 1\nAnswer: 2541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.8 + -1.82. Let y = 0.12 - c. Let i = -0.04 + y. Which is bigger: -19 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, x: 4, v: 3, o: 12}. Give prob of sequence xvzx.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 243141 (base 5) to base 11\nAnswer: 6988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -578046, -578047, -578048, -578049, -578050?\n\"Answer: -x - 578045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = -1. Is (-168)\/(-4 + s) - -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9\/320 + 791\/320. Let d = -1.95 + -0.05. Put d, -0.5, 3\/2, v in descending order.\nAnswer: v, 3\/2, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 23*l - 7. Let n be k(-5). Let h be n\/(-10) - (-13)\/(-65). Suppose -4*j = -5*f + 25, 0*j = j. Solve f*y + 32 = h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 6 = 3*p, -160*p - 5*b - 8 = -157*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 903481 and 818?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 261237 and 5565.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*2)\/((-520)\/(-780)). Solve 175 - 181 = n*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 6*h**2 + 5*h + 5. Does 32 divide g(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105961 and 683191?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -106288211 - -26576.\nAnswer: -106261635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -270.86069805507 take away -1?\nAnswer: -269.86069805507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 - 3?\nAnswer: -3.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = f - 6. Find the first derivative of 0 + 5*g**f - 1 - 2*g**2 wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 3*a**4\/4 + 17*a**3\/6 + 3805*a**2. Give g(-7).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/53742 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/7 (b) -1\/7 (c) 0.2 (d) 3\/2 (e) 2\/81\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - u + 2*u**2)*(294 - 5*u + 215 + 36) to s*u + o + i*u**2 + d*u**3 and give i.\nAnswer: 1090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -76 - 0?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 917\/191 + -406732\/88815. Let r = k + -2\/93. Put r, 1\/2, 1 in ascending order.\nAnswer: r, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 4*q + 24. Let l be (-28)\/q + 6\/4. Let k be ((-2)\/(12\/38))\/((-2)\/6). Solve -2*h + 4 = -3*a - 1, l*h = -3*a - k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.11582 to 2 decimal places.\nAnswer: 4.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1405.99998386 - -1406. Round c to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjh when three letters picked without replacement from jhhmh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1)*(4*v - 5*v + 0*v)*(212 - 777*v - 416 + 204) to the form w*v**2 + s + b*v and give w.\nAnswer: -777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 7*a**2 + 17*a + 1. Let k(u) be the third derivative of 5*u**4\/24 + u**3 + u**2. What is 6*i(t) - 17*k(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5881\/(-12) + 24\/288. Are -490 and c equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, v: 6}. What is prob of picking 1 v and 2 h?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 26 = -3*b. Let v(p) be the first derivative of p + 6. Let k(f) = f + 4. Give b*k(w) - 10*v(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from xnsphgn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**2\/2 - 227487*x + 4094280 = 0. Calculate x.\nAnswer: 18, 151640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215 = -725196*a + 725165*a + 742 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -7*s**6\/160 - s**5\/40 + 7*s**4\/32 + s**3\/4 - 99*s**2. Find c such that v(c) = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - -9 - 6) + (-4)\/2. Let x = -22 - -37. Suppose -21 - x = -3*w. Solve u*j - w = -0*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/3*1\/(-3)*(-378)\/(-28)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1735031?\nAnswer: 433, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 1. Let j(m) = -9*m**2 + 13. Let y(h) = -j(h) - 4*r(h). What is the first derivative of y(d) wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/4)\/(21\/4 + -5). Suppose 0 = -4*v + m*v - 66. Let d = -29 - v. Solve -3 = n - d*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 4*y - 18. Let n(r) be the first derivative of 7*r**2 + 11*r + 1. Let u(b) = -4 + 17*b - 17*b - 5*b. Give y*u(p) - 4*n(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 5*s + 2. Let b be r(5). Let h be (-8 + 7)\/(b\/2) + 720. Suppose h = -3*a - 5*m + 2413, -m = -3*a + 1724. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*j**3*p**2*q**2 + j**3*q - 246*j**2*q**2 - 11*j**2 - 4569*j*p**2*q**3 + 2*j*p*q**2 - 12*j*q**3 - 5*q**3 wrt p.\nAnswer: 136*j**3*q**2 - 9138*j*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78162 and 60854700.\nAnswer: 425982900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 227153?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/8 and 69\/580?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 137*v + 802. What is j(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1197, 8, -3, -5 in decreasing order.\nAnswer: 8, 1, -3, -5, -1197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -32, 2, 0, 735, 1 in descending order.\nAnswer: 735, 2, 1, 0, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-54) + (-2)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*c - 1548 = 0. Let z = c - 712. Suppose -5*n + z = 6*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 12. What is the remainder when s(9) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4 = -4. Let k(p) = 2*p**2 - 7*p + 4. Let q be k(c). Is (q\/(-4) - 0)\/(-1) - -62 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s + 2*s + 3*s + (422 - 422 - 11*s)*(26 + 7 - 4).\nAnswer: -320*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*l + 22. Suppose 5*x = l - 36. Let z(y) = -2*y - 3. Let o(d) = 5*d + 7. Let u(h) = -3*o(h) - 7*z(h). Calculate u(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 653134*d**3 - 1343193*d wrt d?\nAnswer: 3918804*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a factor of 25458438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 107*u**2 - 1495*u - 3155. Give n(90).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/2112 and 65\/2112.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -7. Let z = 0.167 + 9.533. Let g = z - 9.9. Which is the closest to 1\/4? (a) -0.03 (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1021*n**2 + 1962*n**2 - 996*n**2 + 13*n - 2*n**4)*(3 + 1 - 3) in the form r*n**3 + j + i*n**2 + k*n**4 + z*n and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*c - 37*c + 30. Suppose -7*z + 52 = c*z. What is the second derivative of -r**z - 508*r + r**4 + 505*r + 23*r**5 wrt r?\nAnswer: 460*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394 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: Collect the terms in 19*o - 104*o + 51*o + 11*o + 16*o + 15*o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j + j + j.\nAnswer: 17*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 379164343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20920 and 20480.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.6*-14408.\nAnswer: -181540.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 15*z + 13. Let y be r(-2). Let n be (-15 + 23)*y\/(-2). Calculate the highest common factor of n and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50332466 less than 50332466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**5\/20 + a**4\/3 + a**3\/3 - 5*a**2\/2 - a. Let w = 497 - 493. Let f be z(w). Solve -f*i = 2*i + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -484*w + 486*w - 1 + 1. Let x(y) = 37*y + 13*y - 16*y + 53*y. What is i(x(f))?\nAnswer: 174*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 14 and 0.8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70 + -31. Let c = v + -33. Is 0.2 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*v**3 - 5*v**3 - 5*v**3)*(-v + 0*v + 0*v + (-5 + 5 + 2*v)*(-30 - 34 + 69) + 9*v - 69 + 69) to c*v**2 + p + u*v**4 + f*v**3 + z*v and give u.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7638 = -628*i + 29361 + 20303 + 3614 for i.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*a - 1262 = 0, 0 = 2*y + 611*a - 609*a - 2492. Does 79 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*v**4 + 0 + 2\/11*v**2 + 2\/11*v**3 - 2\/11*v.\nAnswer: -2*v*(v - 1)**2*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4 + l - 4 - 1 - 5*l. Let z be h(3). Let q = 13 + z. Solve q = 4*k - 2*k - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 2\/7 (c) -6\/5 (d) -0.4 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((5 + -2*sqrt(1216) - sqrt(1216)) + -3) + 0 + (sqrt(1216) - (1 + sqrt(1216))*6) + 3)**2.\nAnswer: -576*sqrt(19) + 19537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/175*10\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n + 3. Suppose -2*q = 2*j + 30, -30 = 5*q - 4*j - 0*j. Let y(v) = -5*v + v + 0*v - 5 - 3*v. What is q*u(s) - 6*y(s)?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 13*x - 234. Let k be z(10). Let j(r) = r**3 + 7*r**2 + 12*r - 3. Determine j(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1626916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m**2 + 61052*m**3 + 41 - 581 - 60847*m**3 wrt m?\nAnswer: 615*m**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 64*u - 2835. Let s(q) = 23*q. Give y(s(m)).\nAnswer: 1472*m - 2835","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-17)*(-3)\/60\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 n, and 1 m when four letters picked without replacement from eeeamneemeemnargrn?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21131013 + 220?\nAnswer: -21130133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**4\/3 - j**3\/2 + 32*j**2. Let g be 18\/(-24)*4 - -5. Calculate w(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 776, 5165, 16816, 39377, 76496?\n\"Answer: 608*u**3 - 17*u**2 + 184*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280408 = -543*r + 551*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*s**2 - 84*s + 84*s + (-4 + 2*s + 4)*(-2*s + 2*s + 3*s))*(5*s + 0*s - 4*s)*(-3 + 3 - 2).\nAnswer: -166*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k - 264 - 2674 = 2570. Suppose -2028 = -0*z + 3*z. Let f = k - z. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(-1\/29)\/((a\/(a\/((a*a*(a\/a**(-1))\/a)\/a*a*a))*a)\/a*a)**(22\/7) assuming a is positive.\nAnswer: a**(-110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-5)\/a*a**(2\/5))\/(a**(2\/21)\/a*a**(-5\/6)) assuming a is positive.\nAnswer: a**(-391\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7, -80\/91, -0.2, -0.5 in increasing order.\nAnswer: -7, -80\/91, -0.5, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 45*y - 11. Let o be g(3). Let z(w) = 97*w + o*w + 186 - 186. Let b(r) = -2*r. Calculate b(z(v)).\nAnswer: -442*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 15 = -5*q, 3*q - 4 - 5 = -b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -49\/4. Let w be ((-3)\/18)\/((-1)\/3). Let l = -173 + 170. Which is the second biggest value? (a) j (b) l (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**2 + f + 22. Let g be r(6). Let q(c) = c**3 - 1. Let i be q(2). Is 1\/(((-14)\/g)\/i) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 624 + 682. Solve -m + l = 26 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzsszzzzssszszcz. What is prob of picking 1 z and 3 s?\nAnswer: 10\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 22 - 113 = 0. Let u be (-15)\/(-45)*-21 - -16. What is the greatest common divisor of u and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 4*i - 56, 5*i - 18 = -2*t + 2*i. Suppose 10 = 4*p - 22. What is the highest common divisor of p and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/((-10)\/(-84)) - -1. Suppose -32 = -2*x + u, -f = -x - 2*x + 4*u. Suppose 0*c = -2*c + 18. What is the remainder when x is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from ffrfffrrffff.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**4 + 2*k**4 - 4*k**4)*(3*k - k + 0*k).\nAnswer: -14*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -386*h*u**5 + 2*h*u**2 + 2*u**5 + 537*u wrt u?\nAnswer: -23160*h*u**2 + 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*r - 11*r - 18*r + (-2 + r + 2)*(8 - 3 + 6).\nAnswer: -25*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -22320000 to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 23. Let p(r) = -9*r**2 - 6*r + 1. Let x(m) = 26*m**2 + 17*m - 3. Let c(t) = 17*p(t) + 6*x(t). What is the lowest common multiple of 4 and c(j)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a tonne in kilograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57656969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 96851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 667 divide 55017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7826255*f**2*k + f**2 - 6*f*k + 130413*f - 2*k wrt f.\nAnswer: -15652510*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-206)\/10 + (-14)\/35. Let g = -16 - w. Suppose g*n - 201 - 19 = 0. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r**2 - 2*r + 1. Let s be t(1). Suppose -p - s = 1. Put 1, 3, p in decreasing order.\nAnswer: 3, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560\/(-64) + (-11 - -21)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 52?\nAnswer: -4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6572756*x + 6572563*x - 12931 = 0 for x.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-48)\/(-18)) + (-70)\/(-8). Let h(f) = f + 5. Let p be h(0). Suppose -p*u - k = -698. What are the prime factors of u?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**4\/12 - 2*p**2 - 19*p. Let j be g(7). Suppose -4*i - i + 137 = -3*u, -i = -5*u - j. Which is bigger: 2\/5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 68, 156, 292, 482, 732?\nAnswer: 1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z*(z**0\/z)\/z*z*z*z*z)\/z))**(11\/4) assuming z is positive.\nAnswer: z**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4*c = -4*c - 3*c - 64, c + 24 = -773247*d + 773248*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4771, 4, 8, 0, -3, -3\/2, 2\/5.\nAnswer: -3, -3\/2, 0, 2\/5, 4, 8, 4771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.62 + 29.62. Which is the closest to 0.1? (a) -5 (b) -0.06 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = -u - 178. Differentiate 5*t**2 + 32 - 333*t**4 - u*t**2 + 341*t**4 with respect to t.\nAnswer: 32*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 692 divide 964941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13381367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 3*k - 3*k)*(982183*k - 1983923*k + 985043*k).\nAnswer: 33394*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5 + 2*o - 1 + 3 + o**2. Let i be -1 + -2 + 3 - -2. Let l(n) = -5*n**2 - 11*n + 16. Let v(j) = i*l(j) + 11*t(j). Solve v(w) = 0 for w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrf when three letters picked without replacement from zfffffrrffhfff.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 - 5*s**2 + 5*s**2)*(0 + s + 0) + s**2 - s**5 - s**2 + 68*s - 16*s**5 - 68*s - 2*s**5 + 0*s**5 + 0*s**5.\nAnswer: -20*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, v: 2}. Give prob of picking 1 v and 2 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 7*l**2 + 7*l + 2. Let w be p(6). Let c(y) = y**3 - 8*y**2 + 2*y - 11. Does 3 divide c(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60121753, 60121751, 60121739, 60121711, 60121661?\nAnswer: 60121583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in minutes?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11260330 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/7))**(8\/7))**(17\/4))**(2\/39) assuming t is positive.\nAnswer: t**(-136\/1911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6774 + -6198. Calculate the remainder when n is divided by 35.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-108*l**2 + 60*l**2 - 2 + 3)*(-11*l + 7*l - 3*l) to the form f*l**3 + o + n*l + m*l**2 and give f.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(175\/(-28))*(0 + 5). Let z(h) = 11*h - 3. Let b be z(q). Is -47 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-6)*-6*(-95)\/57. Suppose -3*d - 5*g + 1195 = 0, -2*g + 389 = d - s*g. What are the prime factors of d?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 52\/(-13) - (1*-8 + 2). Let s(a) = 1582501*a**2 - 4. Let w be s(d). What is w rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(17)*-1 - (-1 + sqrt(68)).\nAnswer: 1 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 2. Let q be t(-8). Let r be (4 + q)*2\/5. Suppose -1 + 0 = -i. Are r and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27918 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 33, 442618 in descending order.\nAnswer: 442618, 33, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 5 - 14*w**4 - 2*w + 594*w**3 - 593*w**3 to g*w**4 + p + r*w**2 + b*w**3 + v*w and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjc when three letters picked without replacement from {c: 2, j: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**2\/7 - 40360*g\/7 + 101808100\/7 = 0. Calculate g.\nAnswer: 5045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 6:05 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 12*g**2 + 208*g + 328. Let v(r) = 8*r**2 + 138*r + 219. Let f(h) = -5*a(h) + 8*v(h). Let f(c) = 0. Calculate c.\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 232\/5 - 1\/5*c**2 + 231\/5*c = 0.\nAnswer: -1, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 * -0.25.\nAnswer: 0.0275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1056772, 2113544, 3170316?\n\"Answer: 1056772*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*a - 360 = 0. Let o = -55 - a. Let y be 2\/8 + 1\/(-2). What is the second biggest value in y, 4, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 2485*x + 230800.\nAnswer: -5*(x - 80)*(x + 577)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*g - 7, 5*p - 4*g = -g. Let c(v) = -v**3 + 4*v**2 + 2*v - 7. Let w be c(3). Suppose p*a = w + 4. Solve a - 2 = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 - 21. Suppose -5*j + 2*k - d = -140, -3*j + 3*k + 57 = 0. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -417\/1813 or 54?\nAnswer: -417\/1813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5\/2 - 8*c**4 - 37*c**3 - 58*c**2 - 79*c\/2 - 10 = 0. Calculate c.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(120\/(-128)) - (-1 + 6). Let m(n) = n**2 - 7*n + 10. Let q(b) = -5*b**2 + 34*b - 48. Let g(u) = v*m(u) + 2*q(u). Let g(f) = 0. Calculate f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37098947*h**3 - 4202378*h.\nAnswer: 222593682*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r + 14 = 3*j, -r - 4 = -j. Calculate the remainder when (-238)\/(-4) + (r - (-2)\/4) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o = 72. Let g = -62 - -22. Let r be (g\/o)\/(2\/6). Solve r*b + 12 = -z + 4*z, 4*b - 12 = -3*z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g**2 + 18*g**2 + 7*g**2 + 9 - 9 + 10*g**2.\nAnswer: 19*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 286 and 666861?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-2))\/((-6)\/12). Let j(i) be the second derivative of -1\/6*i**4 + i**2 + 0*i**v + 0 - 2*i. Differentiate j(z) wrt z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -s + 95, -s + 43 = 3*a - 12. Let t be 0 + (-1 - (0 + 0)). Let h = 3 + t. Solve -2*o - a = h*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 5, -21, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**2 + 2*a - 126. Let l be d(-16). Suppose 10*o = 12*o - f - 747, -3*o + l = -3*f. What are the prime factors of o?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(2 - 1))\/(-41 + 39) - 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1415 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12634, 12658, 12682, 12706?\n\"Answer: 24*c + 12610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 2 - (-1 + 7 + 12).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/47560 and 105\/7216.\nAnswer: 1046320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3542 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10839541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -157 - -158. Solve 11 = -5*m + q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(468) + sqrt(468)*2)**2 + sqrt(468)) - sqrt(1300)*-2*-6.\nAnswer: -108*sqrt(13) + 8424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -39, -41, -47, -57, -71, -89?\n\"Answer: -2*c**2 + 4*c - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -1 + 3 + -21 + (-39 - -51)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 10*s**2 + s - 25. Calculate c(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 56*s**3 - 14*s**2 - 14*s. Let d(g) = 11*g**3 - 3*g**2 - 3*g. What is 14*d(i) - 3*q(i)?\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19882442.\nAnswer: 2, 23, 432227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -60*w**3 + 7*w**2 + 4538*w + 47242917 wrt w.\nAnswer: -180*w**2 + 14*w + 4538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1641265.\nAnswer: 5, 17, 19309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrrrjrvrvjrrrrrrr. Give prob of sequence jrj.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7\/5 - -33\/20. Let z be -2*3\/(-6) - 1. Suppose 3*h + 4*u = -u - 27, -h - 5*u - 19 = z. Sort 0.2, 0, c, h in increasing order.\nAnswer: h, 0, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 15. Suppose -10*b = -14*b + s. Suppose c + 14 = b*m + 1, 2*m - 3*c = 0. Solve 5 = -m*n - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2253 + -9013\/4. Which is the third biggest value? (a) q (b) -291 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/2, -5, 80, 32, -13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56\/(-308) + (-1)\/((-22)\/1060)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (2 + (-10)\/4). Let p be ((-17 + 11)\/156)\/((-2)\/8). Which is the smallest value? (a) 3 (b) p (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4965\/46 + 2494\/23. Find h, given that 13\/2*h**4 - 384 - 16*h**2 + 256*h - 24*h**3 - g*h**5 = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -9*w. Let i be p(-1). Suppose u + 3*h = -2*h - 13, 0 = -3*h - i. Solve 3*x - 10 = -u*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 - 2*f + 1. Let s be r(2). Let v(w) = 3*w**2 - w - 2. Let t be v(-1). Solve 0 = -3*p + t - s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away -271266323141?\nAnswer: 271266323147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15946, -32883, -49820, -66757?\nAnswer: -83694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, 62, -4, 2285, 0.\nAnswer: -9, -4, -2, 0, 62, 2285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10895798 greater than or equal to 10895849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -7911*b**3 - 15*b**2 + 6*b - 84. Let h(o) = 7909*o**3 + 10*o**2 - 7*o + 85. Let p(c) = 3*h(c) + 2*y(c). What is the second derivative of p(a) wrt a?\nAnswer: 47430*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192 + 5517.46594.\nAnswer: 5709.46594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03413908 rounded to 3 dps?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 10*i + 68 = 0. Let o = i + -27. Let s be 12 - 16\/(-3 + o). Solve 4 = 2*h - 0*h, 2*u - h = -s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 less than or equal to -489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 554*a**3 + 358*a**3 - 46*a**2 - 916*a**2 - 47*a**4 - 241*a**4 + 380*a - 50 = 0.\nAnswer: 1\/3, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 264432643 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 - 3*j**4 + 0*j**4 + (-1 + 1 - j)*(3*j - 2*j**3 - 3*j) - 87 - 4*j**4 - 14596*j**3 + j**2 - j + 14596*j**3.\nAnswer: -3*j**4 + j**2 - j - 87","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007707443 to six decimal places.\nAnswer: 0.000771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*n + 2723 + 3119 = 1006 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmcpcbzzj. Give prob of sequence cm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c**4*i + 514455556*c**4 - 16026158*i wrt c?\nAnswer: 8*c**3*i + 2057822224*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1342200 divided by -55925?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 3:33 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0. Let p = -0.02 + 0.08. Let o = 3.94 + p. Which is the closest to g? (a) 0.5 (b) -3\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 9:26 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -21\/187207 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 305 + 212*m**2 - 634*m**2 + 1095 + 209*m**2 + 214*m**2 as x + i*m + d*m**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2922\/11 - 54037\/198. Let h = -482730 + 139991779\/290. Find the common denominator of h and a.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 - 21*r**2 + 47*r + 64. Let i be u(-12). Which is smaller: -56 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/57 in 2, 5, 0.93, 4?\nAnswer: 0.93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 1. Let n(u) = 6*u**2 + 3. Let m(l) = -3*h(l) + n(l). Let b(z) = -2*z**2. Give m(b(x)).\nAnswer: 24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101656 is divided by 1959?\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oop when three letters picked without replacement from {p: 2, g: 4, o: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2\/5 (b) 0 (c) 0.038 (d) 380\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/18 and 113\/62791686.\nAnswer: 62791686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 13095410?\nAnswer: 13095412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3128*x**2 - 427*x**4 - 2 - 1562*x**2 - 1567*x**2 + (-3*x**4 - 2*x**4 + 3*x**4)*(3 - 4 - 1).\nAnswer: -423*x**4 - x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**2 - 7*u + 2. Let i(o) be the first derivative of -3\/2*o**2 + o + 15 - 1\/3*o**3. Determine -2*a(p) + 5*i(p).\nAnswer: p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 204\/(-1530)*(-126)\/(-14)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 7*k + 2 = -3*k, 4*s + 17 = k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -32*m**3 + 6*m**2 + 3*m - 552. Let k(a) = -53*a**3 + 10*a**2 + 5*a - 1103. What is 3*k(p) - 5*n(p)?\nAnswer: p**3 - 549","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217\/14340 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 7*a**2 + 11*a - 3. Let j be h(8). Let p = 10 - j. Let r = -8 - p. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-27 - -25) + 2*2. Suppose -27*u - h = -23*u - 9, 0 = k*h + 6. Suppose 2*x**u + 0 + 4\/3*x**2 + 0*x = 0. Calculate x.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21338 + -21666.01. Round d to the nearest 10.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + -4. Let u = 99 - 88.3. Let k = u + r. Sort 3\/4, 0.5, k in decreasing order.\nAnswer: 3\/4, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 481*r**4\/4 + 2*r**3\/3 + r**2\/2 + 19*r + 788. Find the second derivative of n(f) wrt f.\nAnswer: 2886*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 6. Suppose p = 2*a - 6, -4*a = 4*t - 0*a - 23212. Round t to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2, -7, -2, 19, 62, 133?\n\"Answer: f**3 - f**2 - 9*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g**2 + 3*g + 1. Suppose -3*d = -f + 3, -2*d + 4*f = 1 + 1. Let n be t(d). What is the second derivative of 2*b - n*b - b - b**3 - 6*b**3 wrt b?\nAnswer: -42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8001420.\nAnswer: 2, 3, 5, 7, 19051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1.2. What is the third biggest value in -2, w, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20 + -23)\/((-3)\/4). Solve 0 = 4*l - 2*g + 8, -g + q*g = l + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.108, 0, 0.1 in ascending order.\nAnswer: 0, 0.1, 2.108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r**3 + 14*r**2 + 3*r + 10. Let w be l(-4). Let g = w + 158. Which is the biggest value? (a) g (b) 0.4 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 24*d = 116. Let a = d + 26. Calculate the common denominator of 113*(-2)\/28 - a and 35\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.186 less than -756668685?\nAnswer: -756668708.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 58 = 49*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.8 or 22\/15?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -140 + 31 + 38 + 40 + 32. Let i(t) = -31*t - 4. Give i(k) + 4*v(k).\nAnswer: -31*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*s + 15 = 3*s, -4*i - 30 = 2*s. Let w = i - -9. Is ((-26)\/(-8))\/(w\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 5:22 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 74\/963 not equal to 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, f: 7}. What is prob of sequence wfww?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31\/20 - 1\/20. Does 3 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23444206 (base 7) to base 15\nAnswer: -2b0c11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x. Let w(j) = -12*j - 9. What is w(z(n))?\nAnswer: 24*n - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -133\/3 + 45. Let r(x) be the second derivative of -1\/18*x**4 + y*x**2 + x + 0 - 1\/9*x**3. Factor r(l).\nAnswer: -2*(l - 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-19)*p)**(-17) assuming p is positive.\nAnswer: p**272","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**3\/3 - 2096*d**2\/3 + 10438*d\/3 - 8344\/3 = 0.\nAnswer: 1, 4, 1043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7541.9996773 + -7542. Round l to five dps.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-198)\/24)\/11*(-120)\/18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2970929 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 5*y + 4. Let j be f(-5). Suppose -j*g + h + 14 = 0, 5*g - 3*h - h = 12. Suppose -2*i**2 - 4*i**2 + 8*i**2 + 2*i - g = 0. Calculate i.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 15*c - 24. Suppose -c*h + 2*h - 5*f + 14 = 0, 5*f + 6 = 4*h. Solve -14 + 2 = h*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**3 - 858345950 + 858345950.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 31969 = -4*i, 6*u - 38316 = -i + 4*i. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2380 - 2378. Find u, given that -2\/17*u**3 - 2\/17*u**m + 8\/17*u + 8\/17 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6169235953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1567058.\nAnswer: 2, 783529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -19860883\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*l**3 + 14*l**3 + 26*l**3 - 93*l**3 + 23*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 55*o + 6*o + 25 in the form l*o + w and give l.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26.2551 + 320.3877. Let b = -294.4 + o. What is b rounded to two dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (810\/40)\/((-6)\/24). Calculate the common denominator of -121\/10 and (-20)\/(-40)*i\/50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 - (-41 + 19 + 9 - (-9 + -14)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**5 - 18*b**4 - 52*b**3 - 36*b**2 + 54*b + 54 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34472*h**3 - 3*h**2 - 14*h + 69546879?\nAnswer: 103416*h**2 - 6*h - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -2. Let d be (6 - (-352)\/(-58))*f\/(-14). Is 0 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31723163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 13\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 10:01 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -772, -779, -790, -805, -824?\n\"Answer: -2*u**2 - u - 769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 5*f**2 + 2. Let l be q(5). Suppose -2*h - 36 = -5*n, 2*h - 4 = -2*n + l. Let i(v) = -3*v + n*v + v. Let t(x) = -2*x. Calculate i(t(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9782254\/165 - 59285. Let s = -3\/55 + q. Factor -2\/3*z - 2\/3*z**3 + s*z**2 + 0.\nAnswer: -2*z*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/403 (b) -1 (c) -5\/518 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 97152 and 19424.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 + 11)*22\/1?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 35099688, 70199368, 105299048, 140398728, 175498408, 210598088?\n\"Answer: 35099680*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -327923\/3072 = -107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 - 195 = -5*g. Let j be (-1)\/(-6) - (-4)\/g. Suppose 1\/3 - j*i**3 + i**2 - i = 0. Calculate i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143910577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 887681 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3\/29 (b) 0 (c) 11 (d) 0.2 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + s - 2. Let n(a) = 2*a - 3. Let o be n(-2). List the prime factors of y(o).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1900 and 93370180?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-88)\/(-14) - -2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -16. Let v = b - -37. Calculate the greatest common divisor of 147 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7327, -0.5, 26?\nAnswer: -7327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(0 + (-10)\/6 - -2). Let f be (-1 + 0)\/(q*1\/2). Let i(r) = 5*r**3. Let l(a) = 21*a**3. Determine f*l(v) + 9*i(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 3, 38, 1, -75 in decreasing order.\nAnswer: 38, 17, 3, 1, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, h: 5}. What is prob of sequence jj?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10231 and 18.\nAnswer: 184158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -979, -1842, -2707, -3574, -4443, -5314?\nAnswer: -6187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**3 - 2 + 2061*a - 5844*a + 1783*a in the form z*a**3 + h*a**2 + f + p*a and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -2. Let p(g) = -6*g - 2. Let y be p(o). Let r(j) = -2 + 0*j + 6 + 2*j. Let l(t) = 2*t + 5. Determine y*l(k) - 5*r(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -12, z - 3 = v + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1180*i + 37 + 50 - 129 + 42.\nAnswer: -1180*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 2*d + 354*d**2 - 725*d**2 + 372*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.11, 0.2, 35 in descending order.\nAnswer: 35, 4, 0.2, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1006*q - 8. What is the hundreds digit of w(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 + 69. What is the remainder when 6 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 3*m, 2*n + 4*m = -2 - 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 16 = 5*b + 4*l, 2*l + 7 = 3*b. Suppose -a = -3*y - 39, -y = 5*a + b*y - 214. What is the remainder when a is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 7*b**2 - 4*b + 6. Let y be n(-8). Let m = 44 + y. What is the remainder when 35 is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 12, j: 6}. What is prob of sequence jji?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnjj when four letters picked without replacement from {w: 2, n: 3, b: 2, j: 8}.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-25) - ((-38607)\/(-765) + -50)\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 769824 divided by -72?\nAnswer: -10692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23163?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(830\/747 + (-61)\/63). Let g + 9\/2*l + 3*l**2 - 3\/2*l**3 = 0. Calculate l.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280526248.\nAnswer: 2, 17, 2062693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 2*d - 17 = 0, 4*c + 4*d - 53 + 61 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r**3 + 2*r + 3. What is the remainder when s(3) is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**3 + 3*j**2 - 10*j + 211. Let h(i) = -9*i**3 - 9*i**2 + 29*i - 599. Determine 6*h(c) + 17*w(c).\nAnswer: -3*c**3 - 3*c**2 + 4*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 58590000 rounded to the nearest one million?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(1 - (-6)\/(-8)). Let d(s) be the second derivative of -s - 1\/7*s**2 + 0 + 3\/7*s**3 + 8\/35*s**5 - 4\/7*s**u. Factor d(g).\nAnswer: 2*(g - 1)*(4*g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = 89*y - 44*y + 390 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3 = -4*n + 27, 0 = 4*r - 5*n + 29. Let g(a) = a - 2. Let m(v) = -14*v + 11. Let q(z) = r*m(z) - 6*g(z). Calculate q(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(4 + -2) - 64. Let n be (-4 + -3*78\/x)*-35. Solve -c + 5*o + 28 = 0, c = -3*o - 2 - n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - t**2 - t. Let x(g) = g**3 - 6*g**2 - 7*g + 3. Let d(h) = 9*h**2 + 13*h - 5. Let j(l) = 3*d(l) + 5*x(l). Give j(f) - 3*z(f).\nAnswer: 2*f**3 + 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + b095b?\nAnswer: b0956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 4 (c) 0.01 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/1554085 - 20834417\/5013478210. Find the common denominator of -93\/20 and j.\nAnswer: 32260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*x**2 - 10218*x + 10218*x + 30*x**2.\nAnswer: 90*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1351767 less than -1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1110\nAnswer: 1\/370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21734829 or 21734831?\nAnswer: 21734831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvvk when four letters picked without replacement from {y: 2, k: 3, i: 1, w: 7, v: 5}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 8295512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w**3 - 3*w**2 - 3*w - 3. Let b(i) = i**3 + 9*i**2 - 10*i - 8. Let z be b(-10). Let r(k) = -14*k**3 - 8*k**2 - 8*k - 8. Calculate z*h(d) + 3*r(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 0*i - 2 - 3*i + 29*i**2 - 2*i. Let d be h(-3). Let j = d + -125. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, 23, 11012 in descending order.\nAnswer: 11012, 23, 7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r + 54. What is i(-11)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 0 + 0 + z. Let v(r) = -15*r**2 + 29*r + 5. Let u(x) = -4*x**2 + 7*x + 1. Let k(y) = -9*u(y) + 2*v(y). Give -5*g(a) - k(a).\nAnswer: -a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 2\/9, -0.2, 4, -312?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1074748 and 556.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 165690*l**3 + 3*l**2 - 21*l + 1119830632 wrt l?\nAnswer: 497070*l**2 + 6*l - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5.3 times -0.055\nAnswer: -0.2915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 273 - 64. Let z = 1669\/8 - i. Which is the closest to 0.1? (a) 2 (b) z (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29462615, -117850454, -265163519, -471401810?\nAnswer: -736565327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-17 - 0) - 6) + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 45*n**3 - n. Let z be (-64)\/28 + (-10)\/(-35). Let y be c(z). Let t = -9664\/27 - y. Does t = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0386607 minutes in nanoseconds?\nAnswer: 2319642000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 13*t - 28*t + 18*t. Let b(h) = -h**2 - h. Let f(n) = -4*n**2 - 2*n. Let m(u) = 2*b(u) - f(u). Calculate m(a(c)).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 154700131478.\nAnswer: 154700131477.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 213619668 a multiple of 931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -155, -273, -375, -455?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 105850386979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/87 in -17.2, 56, -0.03, 0, -4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 1. Let l = 9 - 4. Let x(k) = 1 - 7*k - 1 - l - k**2. Let t(r) = -x(r) + 5*z(r). Find the second derivative of t(g) wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a**2 + 0*a**2 + 5*a**2)*(-11 + 6*a + 11) + 14*a**3 - 13*a**3 - 9*a**3 - 2*a**3 + 0*a**3 + a**3 in the form n*a**2 + g*a**3 + r + h*a and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - k**3 - 2)*(3*k + 3*k - 4*k) + 2*k**4 - k**4 - 3*k**4 + (2*k**3 + 2*k**2 - 2*k**2)*(2*k - 4*k + 3*k).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -675.8 - -758. Let f = 82 - y. Which is the closest to -4\/13? (a) f (b) 1\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.744486 millimeters?\nAnswer: 744.486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z + 1. Let l be a(1). Suppose l*h - 24 = -2*h. Suppose -3*m = 2*p - 66, 165 = p + h*p + 2*m. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30 - -41?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 949770.7cm in micrometers?\nAnswer: 9497707000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -13\/3, 0, -79?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.7 + 5. Let k = 4.3 - m. What is the third biggest value in 0.1, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(55\/(-170))*5640\/9588?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1910702, 1910714, 1910730, 1910750, 1910774, 1910802, 1910834?\nAnswer: 1910870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 4*f. Let k be w(-4). Suppose y + k*y = 3. Let q = 5 + 0. Which is the third biggest value? (a) 6\/5 (b) q (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 2 + 2)*(-7*x - 3*x - 4*x) + (-x + 0*x - 2*x)*(125*x - 58 + 58) - 2 + 2 - 2*x**2.\nAnswer: -349*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1045 - 1044.9. Which is the nearest to n? (a) -0.1 (b) -1 (c) -5 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a + 2*w = 256, 258 = -3*a + 3*w. Let s be (-217)\/a + -2 + -1. Let n = -107\/228 - s. Is 1 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**3 - 1. Let o(j) = 23*j**3 + 16*j**3 - 56*j**3 - 4. Give 6*o(a) - 26*y(a).\nAnswer: 2*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 21*n - 100. Let v be f(4). Let r be 1\/(((-92)\/v - 5)\/(-3)). Let o(c) = c**2 + 4*c + 5. Determine o(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 776996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*n**2*x + 751721*n*x**2 + 3016338*x**2 wrt n?\nAnswer: -34*n*x + 751721*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 609*r - 6 + 166*r - 100*r - 76*r in the form u*r + v and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**3 + 8*u - 1. Let n be t(0). Sort -36, -2, n in ascending order.\nAnswer: -36, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 292, 956, 1882, 2926, 3944, 4792, 5326?\nAnswer: 5402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 212644133 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -12*o**2. Let h(q) = 20*q - 2. Let z(j) = -168*j + 17. Let b(f) = 51*h(f) + 6*z(f). Calculate u(b(w)).\nAnswer: -1728*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*s - 1 = -7*s, r + 14 = -4*s. Let z(q) = q + 1. Give z(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 1 - 17. Suppose 0*d + 2*d - 20 = -t*w, 4*d - 5*w + 25 = 0. Let j(p) = p**3 - p**2 + p - 12. Calculate j(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a factor of 150757320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-14)\/(-49))*-2. Let o(s) be the first derivative of -s**2 - 8*s + 1. Determine o(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2274450061489 and -48?\nAnswer: 2274450061537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*j - 4 = 0. Suppose 0*n + 35 = 5*n - 5*o, 0 = -4*n - 2*o - j. Let y(c) = -c**2 - 18*c - 2. Let a be y(-18). Sort 0, a, n.\nAnswer: a, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12131 - -12135. Solve -8 = -2*h - i*p, 4*h + p + p + 2 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -252 in 0.3, 2\/3, 5.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147653?\nAnswer: 11, 31, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 - 24*a**2 - 3*a - 58. Is 16 a factor of t(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*a = -q + 167, -5*a + 2*q - 63 + 35 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -4) + 2 + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s + 7. Suppose -4*h = -5*m - 29, -2*h - 5*m - 8 = -3*m. Let n(o) = -4*o - 5 - 10 + 0 - h + 10. Calculate 6*n(l) + 5*p(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1463390 by 5.\nAnswer: -292678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38924 divided by -1581.\nAnswer: 38924\/1581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - -8) + 17 - 123?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -103 - ((5 - 23) + -36)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9, 104, 197, 288, 377?\n\"Answer: -a**2 + 98*a - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2782 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -45. Let o be (2\/5)\/(9\/45)*g. Solve o*n + 0*h = 5*h - 5, -1 = 4*n - h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20632828 by -109.\nAnswer: 189292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -1\/50, -42, -3\/7, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-15)*3\/3)\/((-21)\/(-1995))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-28)\/(((-14)\/3)\/7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 6*k - 5. Let p be m(-5). Let o = 1 + p. What are the prime factors of (-1 - -8*o)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2511 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 509967.29 to the nearest 1000.\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111001011100011 (base 2) to base 13.\nAnswer: 10505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - v + 37, -o + 29 = 3*v - 6*v. Let g be (-14)\/4 + (-7)\/o. Let z(d) = -1 + 2 + 2 + 4*d. What is z(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17912, 35834, 53754, 71672?\nAnswer: 89588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 374 and 478720?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1443301560?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 1 + 4*k - 4*k)*(5*k - 3*k**3 - 5*k) + (2*k - 2*k - k**4)*(-3 + 5 + 2) - 3*k**4 + 0*k**4 + 4*k**4 - 2*k**4 - 2*k**4 + 2*k**4.\nAnswer: -11*k**4 + 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3609583*j**2 + 6*j + 91268418.\nAnswer: 7219166*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 533 and -5902.\nAnswer: -3145766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 less than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 k, and 1 s when four letters picked without replacement from isssdssiskqissieeskd?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*n + 53*n - 318 = 0. Suppose 5*x - 3*x = n. Calculate the remainder when x is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 9:12 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15423747 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 18. Let b(c) = -2*c + 2257. Calculate -b(d) - 3*q(d).\nAnswer: -d - 2311","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r\/r**(-26))*r)*(r\/r**(-18))\/r*(((r**(-3\/23)\/r)\/r)\/r)\/r*r**(1\/19))**(-1\/23) assuming r is positive.\nAnswer: r**(-17883\/10051)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3358 - 3290. Calculate the remainder when 392 is divided by g.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*5 + 2\/(-1). Suppose o + 5*s - 93 = 0, 3*o - 3*s = -s + 228. Calculate the greatest common divisor of a and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*h + 4557 = 3140 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807 a factor of 266619236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/(-8))\/(1\/(-8)). Let v be (-72)\/o*1\/(-4). Let u(g) = -2*g + 1. Let i be u(-1). Which is the second biggest value? (a) i (b) v (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -102*x + 1241. Let r be m(12). What is the highest common divisor of 13 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18587541697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -4*o - 4*g + 17, 0 = 4*o - 4*g - 16. Which is the smallest value? (a) 0.5 (b) -5 (c) o (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*sqrt(180) + -5 + ((-2 + sqrt(245))**2 - (3 + sqrt(5) + -2 + sqrt(5)))).\nAnswer: -108*sqrt(5) + 1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**3\/6 - 3*q**2 + 27*q. Let j(o) = -1. Let s(v) = 10. Let m(u) = 3*j(u) + s(u). Let y(i) = 5*g(i) + 4*m(i). What is y(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14257358 is divided by 507?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**2. Let n(u) be the third derivative of u**6\/720 - u**4\/12 + 7*u**2. Let y(z) be the second derivative of n(z). What is a(y(g))?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*q + 58, -j = -4*j + 3*q - 156. Let o = j - -78. Solve 2*w - 10 = -a + 3, 3*a = -4*w + o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*m - 3*f - 4, m - 1 = 5*f. Let j be (m\/(-2))\/((-3)\/126). Calculate the greatest common factor of 63 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46260 to the nearest one thousand.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1*(220\/90)\/((-8)\/18)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21512.88 rounded to the nearest one hundred?\nAnswer: 21500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seventy-three quarters of a second?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84500 - 84500 - 67*s**2.\nAnswer: -67*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/(m*m**(2\/5)))\/m*m**0)\/(m**(-5\/3)\/m**9) assuming m is positive.\nAnswer: m**(154\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -13*w**4\/6 + 22*w**3\/3 + w - 5. What is the second derivative of k(a) wrt a?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001649219 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*r = -155 - 293. Which is the third smallest value? (a) 2 (b) 117 (c) 5 (d) 1\/6 (e) r\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1142\/5 - 6\/15?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040 times 4?\nAnswer: 4160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l**(2\/27)*l))\/l)\/((l\/(l\/l**(1\/37)))\/l)*(l*l\/(((l\/(l*l*l**(-9\/4)*l))\/l)\/l))\/((l\/l**7)\/l) assuming l is positive.\nAnswer: l**(46549\/3996)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74706.4 weeks to nanoseconds.\nAnswer: 45182430720000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*n + 27 + 29 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 36136823, 72273648, 108410473, 144547298, 180684123, 216820948?\n\"Answer: 36136825*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, z: 7}. Give prob of sequence zpzz.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, 0.1, 3 in descending order.\nAnswer: 3, 0.1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -7\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a**2 - 3*a**2 + 4*a**2 to x*a**2 + p + u*a and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + 4*l**2 - 2*l**2 + (-3 + l + 3)*(-3*l + 4*l - 2*l) + 5*l**2 - 3 + 3)*(-2 + 4 + 0).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 z when three letters picked without replacement from lldlzzztllz?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4803439?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvrr when four letters picked without replacement from vvrvvdrddd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-28)*58*28\/3654?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = 9*m - 784. Do m and 119 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 6 - 10. Let t(q) = -9*q + 1. Does 15 divide t(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 8:07 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 47\/(-56)*-7 + (-5)\/10*9\/(-36). Let u = -0.7 + 0.2. Sort -2\/9, i, 4, u in ascending order.\nAnswer: u, -2\/9, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 minus 911978?\nAnswer: -911977.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121590208?\nAnswer: 2, 1899847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -42. Let k(d) be the first derivative of 2 + a*d - 3\/2*d**2. What is the derivative of k(p) wrt p?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43a7 (base 14) to base 16.\nAnswer: -2dbf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**9\/25704 - a**8\/14280 + 4*a**3\/3 + 2. Let g(d) be the third derivative of k(d). Determine n so that g(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -115, -173, -231, -289, -347?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 13*w**2 - 2*w - 4. Let r be c(-13). Solve 0 = -4*h + 10 - r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/6 + 2244\/(-952) + 1.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 2*j - 14, 5*x = -j - 33 - 14. Let i(r) = -r**3 - 10*r**2 - 13*r - 10. Does 7 divide i(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 173*t**2 - 7349*t + 7286. Determine c(-80).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h - 4*h + h**2. Let n(z) = z**2 + 0*z**2 - 2*z**2 - 2*z**2. Determine v(n(x)).\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x + 20. Let n be r(-7). Suppose -n*m = m. Solve m = 4*u - u + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = -43*j + 45*j. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 213\/63 + -3 + 0. Let s = b + -4\/21. Let f = s - 1. Calculate the common denominator of -95\/12 and f.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -107*u**4\/24 + 319*u**3\/3 + 810*u**2 + 2. What is l(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -116 (b) 1\/3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000581291623 rounded to seven decimal places?\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6*v**2 + 0)*(0 - 1 + 3) + 4*v**2 - v**2 - v**2 + 637*v**2 - 922*v**2 + 548*v**2.\nAnswer: 277*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -4 (b) 0 (c) 5\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10666823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 18 = 5*k - 38, -316*c + 276 = -10*k + 6*k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t - 149 = -64 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-12)*s**0*s)\/(s*s**(-2\/69)*(s**(2\/5)*s)\/s*s) assuming s is positive.\nAnswer: s**(-4613\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 8*y**2 + y + 10. Suppose 0 = -5*z + 1 - 26. Let n be 9\/(135\/24)*z. Let q be g(n). Let f(j) = -3*j + 2. Calculate f(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/9*0 + (-6)\/(-2). Suppose -4*n + 4 = 0, 2*y - u*y = 2*n - 4. What is the greatest common divisor of 5 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 - (1 + 2)\/(-3). Let q = f - -5. Solve q*g + 3*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/2)\/(12\/(-108)). Calculate the highest common divisor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/4, -4\/3, -4, 1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0.4. Let p = -2.9 + 5. What is the second smallest value in i, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (2 - (0 + -2 + (3 - 0)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/5))**(-26))**(2\/27)\/(j**(-2\/13)*j\/(j*j**(-3)\/j)*j\/((j\/(j*j*(j*j*j**(1\/2))\/j*j*j*j)*j)\/j)*j*j**(3\/4)) assuming j is positive.\nAnswer: j**(-79507\/7020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 + -78. Let o = -79\/15 - -23\/5. Let d = 0.122 + -0.622. Which is the closest to o? (a) 0.4 (b) j (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 - 2*t**2 + 11*t - 5. Calculate the remainder when 2\/2*97 + 1 is divided by g(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/121)\/(1344\/(-1760))?\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 22 = -5*j, 3*w - 2*j - 139 + 56 = 0. Let k = w - 27. Suppose k = -6*a + a + 65. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613286021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 49749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1417637 = -3*n + 5*h + 1076233, n - 831290 = -4*h. Let m = -1618690 + n. Round m to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 11. Suppose -2*d + 7*d = p. Suppose 0 = 5*o - 2*o + 3. Sort o, d, 3.\nAnswer: o, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 6*y**2 + 8*y. Let o(z) = -z**2. Give o(h(g)).\nAnswer: -36*g**4 - 96*g**3 - 64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*f - 4 = 0, 3*z + 5*f = 2*z + 20. Suppose 0 = -4*v + 3 + z. Find the third derivative of 0*k**4 - 22*k**6 + 19*k**v + 0*k**4 - 18*k**2 wrt k.\nAnswer: -2640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in -0.11, -7, -1\/3?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4449 and 684.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 10, -4, -6 in decreasing order.\nAnswer: 10, 2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 312271?\nAnswer: 312264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3961.40877 + -3735.4099. Let u = 1408 + -1182. Let j = b - u. What is j rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47700)\/1060*-1*2\/24.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -10*o**2 - 91*o + 1126. What is c(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -235 + -1e?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1150, -2306, -3462, -4618, -5774, -6930?\nAnswer: -8086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -12*y - 46 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*(1 + sqrt(475)))**2 - (2*sqrt(114)*1)\/(sqrt(12)\/sqrt(2)*-1).\nAnswer: 92*sqrt(19) + 4284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -116*m**2 - 2*m. Let g(n) = -n + 1. Calculate g(z(y)).\nAnswer: 116*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -7 (c) 2 (d) -1 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 22*b**2 - 24*b - 26. Calculate i(-23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 144*m**2 + 81*m + 9. Suppose 5*b = u - 13, -b = -5*u - 6 - 1. Let c(g) = g**2 + g + 1. Let y(q) = b*c(q) - j(q). Factor y(p).\nAnswer: -3*(7*p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(84) + -3*sqrt(84) + sqrt(84) - sqrt(84))\/sqrt(12).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1 - -4 - 5) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 211222233 (base 4) to base 5\nAnswer: 14414122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 903109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21231137867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 11, -9, -62, 1.\nAnswer: -62, -9, -6, -1, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - 3)\/(1 - 0). Solve -3*p = 3*s, 24 = -s + o*s - 5*p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 3:29 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 1 + -10 - (-8 - (-2 - -5))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - k + 7 - 3 = 0, i = -k + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 4*r + 337, 4*b + 14*r = 15*r + 1314. Calculate the remainder when b is divided by 45.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 - 32. Calculate the remainder when s is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 1. Let o be w(-2). Let j be (-2 - -4)\/o*-1. Suppose 0 = k + j. Which is smaller: -3\/4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -58, -4, -289, 9 in decreasing order.\nAnswer: 16, 9, -4, -58, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from frhchfdfdpffhfc?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 8. Let f(i) = -i**2 - 6*i - 3. Let r be f(z). Suppose 0 = r*w + 9 - 13. Let a(b) = -8*b + 2. Calculate a(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 6*y + 1. Let b be a(8). Let u = 7 - 2. Suppose 0 = -c + 5*f + b, 114 = u*c + f + 3*f. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -6*f + 2. Let t(g) = 12*g - 5. Give 7*d(c) + 3*t(c).\nAnswer: -6*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*(-43)\/(-4730)*4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**10\/240 + s**6\/60 - 10*s**3 + 22. Let x(n) be the third derivative of d(n). What is the third derivative of x(w) wrt w?\nAnswer: -2520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-41)\/5*343447\/(-130) - -2. Let x = k - 21667. What is the common denominator of x and (0 - 2) + (-37)\/(-14)?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + 3*m + m)*(2*m**2 + 6*m**2 - 4*m**2) - m**3 + 6*m**3 - 3*m**3 + 0*m**3 - 5*m**3 + 2*m**3 in the form x*m + f*m**2 + u*m**3 + g and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 15*h**2 - 30*h + 6. Let r be y(2). Solve -j - 31 = -4*m - r, 3*m - 35 = 4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 5*v**2 - 4*v + 2. Let p be i(4). Solve 5*a + 3 = p*k - 17, -4 = -5*k + a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 766270 to the nearest integer?\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15988 - 15988 - 3*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -14. Let t be (-1 - 14)*o\/10. Calculate the greatest common factor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (1 - 1)) + (23 - -9 - 32)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20091, 27902, 35713, 43524, 51335?\nAnswer: 59146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 59 - 4*q**3 + 29 + q**2 + 17*q + 16 to s*q**3 + l*q**2 + n*q + z and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1276, -281, -4, 117 in decreasing order.\nAnswer: 117, -4, -281, -1276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4269941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.556761cm to millimeters.\nAnswer: 85.56761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 326322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 9*j**2 + 6*j - 3. Let g = -87 + 83. What is the tens digit of d(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(0 - 8\/38). Suppose -2 + 86 = -2*n. Let d = l - n. Which is the closest to 0? (a) 1\/3 (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((3584\/1960)\/64)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 161.\nAnswer: -1\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 3*n - 54. Suppose -5*v = -7 - 8. Suppose -6*d = -3*d + 5*k - 8, v*k - n = -4*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -195778828 divided by -48944707\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 1. Let i be 1*(-5 + 0) + 2. Let m be f(i). What is the greatest common divisor of m and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + 33 + 2 + -10 + 2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 2 + 53 + -42\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 11. Let w be j(-5). Suppose -40 = -w*d + d. What is the units digit of -2 - (-1 + 3)*(-340)\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*-2*sqrt(1331))**2 + -1*sqrt(3564) + -2*sqrt(396).\nAnswer: -30*sqrt(11) + 85184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -597 + 13931 = 5*f - 4*l, 5*f - 13332 = 2*l. Suppose 15*u = 13*u + f. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 6:51 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 780 = -2940. Suppose x - h = -r - 2*r, 4*x + 305 = 3*r. List the prime factors of r.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, f: 3, g: 3}. Give prob of picking 3 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2153523 (base 6) in base 12?\nAnswer: -528a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m. Suppose 0 = k + 2 - 3. Let o(a) = 6*a. Let b(w) = -w. Let z(d) = k*o(d) + 8*b(d). Determine x(z(c)).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/6)\/((-570)\/60))\/((-36)\/(-8)).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.847 - -0.353. What is g rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -14.78. Let l = -0.2288 + o. What is l rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 0. Suppose -6 = 3*t - i*t. What is the second derivative of t*d + 4*d**2 - 3*d**2 - 2*d**2 wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -3*u**2\/2 + u - 11. Let o(c) be the first derivative of -16 - 5*c + 8*c**2 - 11 + 18. Calculate -2*o(h) - 11*t(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -18*q - 162. Let l(o) = -15*o - 162. Let k(h) = -4*l(h) + 3*w(h). List the prime factors of k(-8).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -0.148?\nAnswer: -0.148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 1081.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 2492 = -987. List the prime factors of r.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 361027\/28 + -12889. Let i = -32\/7 + d. Let l = 128 + -898\/7. What is the third smallest value in l, i, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 1. Let y(p) = -30*p**2 - 5*p + 25. Let u(r) = 5*i(r) - y(r). Differentiate u(q) with respect to q.\nAnswer: 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3055 and 551915.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -3\/35*v**5 + 174 + 0*v**2 + 1\/14*v**6 + 0*v - 9\/14*v**4 + 0*v**3. Find w, given that b(w) = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001167089173 rounded to 6 dps?\nAnswer: -0.001167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 1. Let k(z) = -30. Let s(j) = -18*c(j) - k(j). Let u(t) = -t + 1. Let m(n) = -7*n - 9. Let f be m(-3). What is f*u(p) - s(p)?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**3 - 756*h**2 - 759*h = 0. Calculate h.\nAnswer: -1, 0, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 3\/4, -0.5, -2\/15, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184097 and 908?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -7558, 74 in descending order.\nAnswer: 74, -1, -2, -7558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 o when two letters picked without replacement from ccoeorcbeecoeeeo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-5)\/(15\/159). Let h = g - -83. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 381.5 + -382. Which is the nearest to -1? (a) 0.4 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 138*a + 15. Let p be n(14). Let w = -656 + p. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + i = -9, -2*f + 25 = f - 2*i. What is the third derivative of -f*b**2 - b**2 + b**3 + 7*b**2 wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 2, -0.5, 6.7, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16 + -2)*(-11)\/(-2). Suppose a + 58 = 3*r. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 2. Let j = 4 - 1. Suppose j*d - 7*d + 8 = 0. Solve -u + 6 = -3*s, 8 = w*u - 0*u - d*s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -4. Let i = 0 - x. What is the closest to 1\/2 in i, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.094, 4, 107, -3 in decreasing order.\nAnswer: 107, 4, 0.094, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3961*b**4*l - 2305*b**3*l**2 - 41581*b**2*l**2 - 376*b**2*l wrt b?\nAnswer: -95064*b*l - 13830*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -1 + 0 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010338 rounded to 6 decimal places?\nAnswer: 0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1811?\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 0*r + 4 - 5*r**2 + r**3 - 8 + 5*r. Let i be l(4). Solve -5*a = q - 2*a - 10, i = 4*q + 2*a + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4+1.625\nAnswer: -2.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 10 = 44. Suppose -5*l = 5*g - 4120, -4*l - 1613 = -z*l + 5*g. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 11. Sort -0.4, 42, u.\nAnswer: -0.4, u, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**2\/6 + 17129*t\/3 - 34259\/6 = 0?\nAnswer: -34259, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 3*r = 0, 3*z + 2*z + r + 15 = -r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-7)*7\/(-2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 781 = 3*y, 2*y = 2*m - 4*m + 526. Let r = 265 - y. Solve -4*l + 0*w - w + 10 = 0, r*w = -4*l + 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**2)\/(((q*q**(-1\/6))\/q)\/q) assuming q is positive.\nAnswer: q**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 0*i**2 - 2*i + i**2 - i + 12 - 6*i. Let z be l(8). Let o(r) = r**2 - 7*r + 4. Determine o(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343) + 0 + 1 + (sqrt(7) + -3)**2 + (sqrt(847) - (sqrt(847) + (-2 + sqrt(847) - sqrt(847)))*5)**2 + (sqrt(847) - (1*sqrt(847) + 2)).\nAnswer: -879*sqrt(7) + 13667","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 48.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2\/2 - 5755*k\/2 - 2875.\nAnswer: -5*(k + 1)*(k + 1150)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - r - 4. Suppose -5*n = -r - 1. Let v(i) = 10*i - 2*i - i + i. What is v(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -521 + 520. Let w(o) = 3*o + 2. Let x(k) = -16*k - 8. Let g(s) = v*x(s) - 4*w(s). Let b(q) = 5*q. What is g(b(p))?\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -776\/19 - -2366\/57. Let k = -8.5 + 8. Sort k, 0.02, -1, z in increasing order.\nAnswer: -1, k, 0.02, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 5*w + 1713 = 1738, 4*w = 2*s - 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 5 - (4 - 5) - 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*y - 41887 + 41887 - y**2.\nAnswer: -y**2 + 24*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/33 and -89\/4590.\nAnswer: 50490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, q: 1, y: 7, t: 2, s: 1}. Give prob of picking 1 y and 2 j.\nAnswer: 49\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 572*f**2 + 3*f + 2. Let z be (-90)\/135*(-1 - 11*1). Suppose -z*a + 5 - 13 = 0. Is d(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 636?\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 32\/7 - 1\/7*m**2 - 31\/7*m = 0?\nAnswer: -32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 * -1.4\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1899)\/3165*4730\/22?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2.739922s?\nAnswer: 2739.922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -70*r + 186. Calculate a(1).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*(-3*(1 + sqrt(112)) - sqrt(112)*-2*6))**2.\nAnswer: -864*sqrt(7) + 36324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c + 43. Let h be w(-5). Let x = 5 + -19. Let z = h + x. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -w + 2456, 3*w = -5*z - 0*w + 6139. What is the remainder when z is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(70) - (sqrt(70) - -5*sqrt(70)*-2))*6)\/(sqrt(20)\/(sqrt(2) - (sqrt(2) + sqrt(288))) - (4*sqrt(100))\/sqrt(10)).\nAnswer: -2880*sqrt(7)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 4*h. Let j be b(4). Let c be 2\/(-5) - 37\/(-5). Let d = 1839 - 1836. Solve -c*p + d*p = j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w - 449028 = 13*w. Let m = w - -20314. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 2:19 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 83*t**2 - 92*t - 676. Determine k(-84).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9098.646mm?\nAnswer: 909.8646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -392*y**2. Let n(z) = 3*z**2. Calculate h(n(d)).\nAnswer: -3528*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 392 and 1911.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 984 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45531, -45532, -45531, -45528, -45523, -45516, -45507?\nAnswer: -45496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h + 27. Let i = h + 17. Let u be (-1)\/(-2) - 17\/i. What is the closest to 1\/4 in 2, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 459369a6?\nAnswer: -459369a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -2323103120?\nAnswer: 2323103103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(77) - sqrt(77))\/sqrt(11) - ((sqrt(7) + 1)**2 + sqrt(7))*-2.\nAnswer: 16 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*b - 5 = -67 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-1) + 2 + 1. Suppose 5*f + 35 = -4*h, -3*h + 3*f = -v*f + 6. Let o = 128 - 127. Sort -4, o, h.\nAnswer: h, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*a**2 - 1488*a + 100*a**2 - 54*a**2 to the form w*a + z*a**2 + v and give w.\nAnswer: -1488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*n = -21*n - 99 - 21. Sort -226, -4, n, 4, 1 in decreasing order.\nAnswer: 4, n, 1, -4, -226","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1030 + 1034. Solve v*r - 5*r = -2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458955 is divided by 114721.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 731 = -83249. What is the thousands digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72684611 is divided by 132?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*s + 2*a, 24 = -56*a + 53*a. Solve -s*j - 11*g + 12*g - 26 = 0, -5*g = 2*j - 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31851634*p + 33759261.\nAnswer: 31851634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f - 5*f + 2*f + 0*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -1497.\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - 7\/(35\/24). Let j = -2 - s. Which is the second biggest value? (a) j (b) -0.5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 4*i**2 - 4*i + 4. Let w(f) = f**2 - f + 1. Let y = -2 - -3. Let o(a) = y*d(a) - 4*w(a). Find r such that o(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320233110 (base 4) to base 8.\nAnswer: 705724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3871360764 to the nearest integer?\nAnswer: 1570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -6\/1852871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 k, and 1 w when four letters picked without replacement from {u: 1, w: 1, y: 6, o: 4, k: 8}.\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*sqrt(104)*1)\/sqrt(8) + 1 + sqrt(208) + 1)*6)**2.\nAnswer: 1440*sqrt(13) + 46944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 - -67. Suppose -2*i + u = 0, 5*b + 4*i - 25 = -i. Suppose b = -4*h + 5*h - 235. Is h a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/675*(-2 + 0\/(5 + -10))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 11 = 2*v - 10*r, 5*v + 4*r - 23 = 0. Let j = -5 - -10. Suppose -j*p + 4*p + 38 = 0. What is the remainder when p is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-4 + 0 + sqrt(72) + sqrt(72) - (-4*(sqrt(72) + -1) + sqrt(72))) - -5*((sqrt(72)*-1 - sqrt(72)) + -3)*5)*5)**2.\nAnswer: 787500*sqrt(2) + 10155625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17993803433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2480965580376?\nAnswer: 2480965580371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - s + 290 = -531, -5*p + 4*s + 816 = 0. Suppose 0 = -0*j + 4*j - 112. Let f = p - j. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 + -2 + 2 + 1915 + -1910?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3236586 (base 9) in base 7?\nAnswer: 20523012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 742?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -0.083.\nAnswer: 0.0249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-15)\/(-9)*(-40)\/(-50).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-5))\/(27\/(-90)). Sort s, -2, -5, -1 in descending order.\nAnswer: s, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 14*m**2 + 35*m - 16. Let c(f) = 4*f**3 - 68*f**2 + 176*f - 79. Let o(l) = -2*c(l) + 11*x(l). Let o(r) = 0. What is r?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 4*l**2 - 2*l - 3. Let b be v(3). Suppose -2*c = -k + 42, 0 = -5*k - 4*c - b + 140. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 2:03 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/25)\/((r**(-1\/9)\/r)\/r))**16\/((r**2)**(-11))**19 assuming r is positive.\nAnswer: r**(101362\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 3.6. Let q = -276 - -275.7. Let t = 17 - 20. Which is the nearest to -5? (a) p (b) q (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46252276, -92504550, -138756824, -185009098, -231261372, -277513646?\nAnswer: -323765920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1486205604.\nAnswer: 2, 3, 13, 107, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5752*o**2 - 32*o - 2. Let a(t) = 5*t**2 - 16*t - 1. Calculate 2*a(f) - s(f).\nAnswer: -5742*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 453404 + -724?\nAnswer: 452570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 7, 1\/9, -0.1229.\nAnswer: -7, -0.1229, 1\/9, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + (-3 - (10 + -44 + 15))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2041103, 4082216, 6123329, 8164442, 10205555, 12246668?\nAnswer: 14287781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 211359782 a multiple of 2641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300424314*b**3 + b - b - 300424317*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 8. Let p be b(-6). Let v be ((-1)\/p)\/(4\/32). Let m(r) = 4 + r + 0*r + v*r. Let y(s) = 9*s + 7. What is 7*m(z) - 4*y(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -56*w + 52*w - 30, 0 = -3*w - l - 20 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3371, 3373, 3375, 3377, 3379?\nAnswer: 3381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -4 + (-2 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, -0.2, -3\/55.\nAnswer: -0.2, -3\/55, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -371 - -4?\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -107 - -229. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 4) to base 10.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.3118?\nAnswer: 0.3118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1153.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20823*b**3 + 4*b**2 - 12*b**2 - 6949*b**3 - 6939*b**3 - 6940*b**3.\nAnswer: -5*b**3 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -491273774*i**4 - 373757378.\nAnswer: -1965095096*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 78161, 78162, 78163?\n\"Answer: k + 78160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, -3, -39, -7, 4.\nAnswer: -39, -7, -3, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5602 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29200?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gpfifiuiii. What is prob of sequence fi?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1158069\/22)\/(1\/(-12)). Let w = c - -443674. Round w to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s*s*s*s**(-2)*s*s)\/s)**22)**(-26))**(-4) assuming s is positive.\nAnswer: s**6864","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1424 less than -133?\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1021523 * 85.3.\nAnswer: 87135911.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -565 >= 41717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-15) - (4\/18 - 4\/180)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 - z + 19. Calculate f(-6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 3 + 3)*(40967*d - 40971*d + 3*d**2 + 0*d**2).\nAnswer: 6*d**4 - 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 13. Let g be (-5 - -2)*(-2)\/1. Sort x, g, -4 in decreasing order.\nAnswer: g, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -47*f**3 - 150*f**2 + 311*f - 7. Determine p(2).\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 520 = -4*v, -5*v + 2*v + 3*f = 408. Let j = -85 - v. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10\/9 (b) -2\/19 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10110101010011100101 (base 2) to base 16\nAnswer: b54e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**4 - 97522*h**3 + 292546*h**2 + 97522*h - 292548 = 0?\nAnswer: -1, 1, 3, 48758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**3 - 1544*q**2 - 120120*q + 121669. Let c(u) = -u**3 - 309*u**2 - 24024*u + 24334. Let n(z) = -33*c(z) + 6*j(z). Factor n(g).\nAnswer: 3*(g - 1)*(g + 156)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-52)\/56*-4 - 6\/(-21). Suppose h*a = b + 572, -3*a - 2*b + 429 = -4*b. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -43) + (-1024 - -951)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, e: 5, g: 1, n: 3, i: 1}. What is prob of picking 1 g and 2 n?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 2 in ascending order.\nAnswer: 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 244*c**2 - 210741*c + 24. Determine b(353).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - j**2 + j + 145. What are the prime factors of v(0)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**3 + 2278*z**2 - 320346*z + 318078. Let p(r) = r**3 + 3*r**2 + r - 3. Let a(m) = d(m) - 6*p(m). Factor a(b).\nAnswer: -4*(b - 282)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 29 + 41 = 4*g, 4*m + 41 = 5*g. Put 148, 1, -1, m in descending order.\nAnswer: 148, 1, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 11*p + 4. Calculate t(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 - 170*v + 251*v - 125*v - 4 to the form d + i*v**2 + x*v and give x.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*g + 105 = 0. What is the common denominator of (-95)\/3*g\/(-14) and -75\/38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3898 + 31.1564.\nAnswer: 3929.1564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119059 is divided by 888.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + i = 4, 267*x - 265*x = 3*i - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 172*m**2 + 5*m + 10. Let k be w(-7). Suppose -2*z - 5*g + 4195 = 0, 3*g = 4*z - 0*g - k. What is z rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -109?\nAnswer: -109.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-12)*3\/2. Suppose 5*y - 30 = 2*f, 3*y - 6*y - 2*f + o = 0. Let c = -5.94 - -0.94. What is the second biggest value in y, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 468 - 445. Suppose 6036 - 1781 = k*s. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -18?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 224 - 8?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8353930713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/7 = 52177494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 239, 736, 1701, 3290, 5659, 8964?\nAnswer: 13361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 650\/11, -2\/99, 4, 2\/7, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.046434538 and -8.\nAnswer: -7.953565462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2))**(2\/55)*v**(5\/3)*v**7 assuming v is positive.\nAnswer: v**(1448\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 - (-3236)\/12 - (-4)\/(-6) is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**2 - 28*z + 126. Let f(w) = 2*w**2 + 14*w - 64. Let s(x) = 5*f(x) + 3*n(x). Let r be s(6). Solve -3*u - 1 = 3*m - r, 1 = -m + u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -6*n + 8*n. Let m be (728\/35)\/2 + 3\/n. Solve 12 = -3*w + 2*v - m, 0 = 3*w + v + 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 7 = -4*j, 2*v + 5*j + 20 = 10*j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 14143662*r**2. Let b(g) = -5*g. Determine u(b(o)).\nAnswer: 353591550*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2388449928 to the power of 1\/2, to the nearest integer?\nAnswer: 48872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41238 = -3*m + 61*m. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78608744 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*n = -b - 14, 2*n + 8 = 0. Let y be ((-12)\/b)\/((-12)\/(-8)). What is the closest to 0 in 2\/7, y, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 47530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**16*a**15)\/(((a*a*a\/(a\/(a\/a**(1\/9)*a)))\/a)\/a*a**(-14\/5)) assuming a is positive.\nAnswer: a**(1436\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2\/7 - 9*x\/7 + 12\/7 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*d + 45*d - 3512 = 95*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16967587*x**5 - 11753*x**2 + 575.\nAnswer: 1018055220*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 174531 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26234 and 80314?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 55658.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*r + 2 = -4, 0 = r + 1. Suppose s - 16 = m*s + 4*i, -12 = -s + 3*i. Suppose 3*y - 2*f - 9 = s, 4*f = f. Solve y = 2*q - 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5811.9414 to the nearest ten.\nAnswer: -5810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40 in 1\/9, -2\/11925, 1\/3?\nAnswer: -2\/11925","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 7130883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2\/8)*(-6)\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*q - 139*q - 103*q = 129*q - 25972 for q.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*n = 3*u - 6, 0 = 2*n - 4*u - 14. Solve -s + 1 = n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 1:09 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.3, 3\/4, -2\/29.\nAnswer: -4, -0.3, -2\/29, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1502929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -5.7. Let f = 20899\/6 + -6967\/2. What is the closest to f in -5, v, 2\/365?\nAnswer: 2\/365","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7*t**3 + 20*t**2 - 1. Let y be ((8\/6)\/(2\/6))\/((-764)\/(-1146)). Let u(a) = -8*a**3 - 21*a**2 + 1. Calculate y*u(z) + 7*j(z).\nAnswer: z**3 + 14*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**6\/120 + m**5\/30 + m**4\/8 + 2*m**3\/3 + 4*m**2. Determine o(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 992.9 + -981.9. Which is the closest to m? (a) 0.1 (b) -0.5 (c) -6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2232793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -67 - 179966?\nAnswer: -180033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iui when three letters picked without replacement from iiiiiiiuuiiu?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 389*i + 1550. Calculate t(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.7 and -0.9484.\nAnswer: -0.2484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94096?\nAnswer: 2, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -297 + 307. Solve -2*r + g = 2, i*g = 7*g + 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -259ab?\nAnswer: -259ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 + -68. Let a(y) = y**2 + 4. Let f(x) = 1. Calculate q*a(u) - 6*f(u).\nAnswer: u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-5)*(-265)\/(-53).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1231 - 133*l**2 + 1231 + 481*l**2)*(21*l - 19 - 47*l + 30*l) in the form d + h*l + r*l**3 + m*l**2 and give r.\nAnswer: 1392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*o + 38 = -x - 236*o, 19*x + 83 = 5*o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4 + 3 - 5 + n + 2. Let r be j(-5). What are the prime factors of (r - 3)*(-4)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 2 = 13*k. Let q be (k\/2)\/((-5)\/(-50)). Let b(s) = -2*s**2 - 26*s - 21. Let n be b(-12). Sort n, 1, q.\nAnswer: q, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 876 - 9638\/11. What is the second smallest value in 38, -5, 3\/5, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 14*s = -20952. What is the units digit of (2\/(-8))\/((-9)\/s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w - 39. Let c be 2 + ((-318)\/(-30) - 2\/(-5)). Let t be i(c). Solve -4*p = 2*q - 5 + 23, t = -3*p - 15 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2482, -4840, -7076, -9184, -11158, -12992, -14680, -16216?\nAnswer: -17594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 819 - 3211 - 13*o**3 + 814 + 832 + 8*o**3 + 746.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*j + 49998 = 2*j, -4*j - 50004 = -2*z. Round z to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4408.116 minutes in hours?\nAnswer: 73.4686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*n + 30*n + 21. Find the second derivative of 6 + n*u + 6*u**5 + 6 - 12 wrt u.\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101212220121201 (base 3) to base 15\nAnswer: 794161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 361843806 less than 6.15?\nAnswer: -361843799.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1180845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21222 - -21225. Solve 1 = -3*w + 4*x - 3, n*x = 2*w + 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85238 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 - ((-14)\/7 - (-2 + 1)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 0*u - 4*u - u + 7*u + 36. Let s be a(-15). What is the greatest common factor of s and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b**2 + 2*b**2 + 3*b**2)*(-2*b - b + b) + 261 + 15*b**3 - 261.\nAnswer: 17*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -320 - 4201?\nAnswer: -4521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.32 + 0.62. Sort 6\/5, -3, 1\/4, s.\nAnswer: -3, 1\/4, s, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(5\/3))\/r)**(-20\/7) assuming r is positive.\nAnswer: r**(100\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2978 or 2977?\nAnswer: 2977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 9)*(8*l + 6*l - 4*l)*(-2 - 3 + 3)*(0 + 2 - 3)*(1 + 3 - 3)*(0 - 1 + 0).\nAnswer: -120*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 divided by -59?\nAnswer: -620\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-24) - 11\/(-3). Let h be 6\/u*(-8)\/(-36). Suppose 0 = -t - 2*t - 9, d - 5*t = 18. Put h, d, 5 in decreasing order.\nAnswer: 5, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*s + 480*s = -458*s + 106*s - 10998 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.95 + -5.6. Let f = -97 + 96.46. Let n = j + f. What is n rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**2 + 168*n - 161. Let m be z(41). Solve -5*t + 3*t - m*r - 23 = 0, -4*r - 40 = 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18012 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2 = 12. Put 1, 4, u in descending order.\nAnswer: 4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 279715669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 10*q**2 - 11*q + 1. Let s be k(8). Let z = 12 + s. Let p = 2383 + -2369. Calculate the remainder when z is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49479, -49478, -49477, -49476?\nAnswer: -49475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3353 - 1812. Suppose 52*q = 29*q + y. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28669.17 rounded to the nearest 1000?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16051 + 23998. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (0 - (0 - 5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -155739240 and 5864.\nAnswer: -155733376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0336 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 83 + -7?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 175, 0.5, -5, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -18. Let c = d - -6. Let i = 0.1 + c. What is the nearest to i in 4, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30681?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbninjnjbbbppnpijpxb. Give prob of sequence pb.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 2*n - 1. Let l be o(2). What is the remainder when 13 is divided by ((-12)\/9)\/(l\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2276.\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -356326.3653 + 356312. What is y rounded to one decimal place?\nAnswer: -14.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1556956\/74 - (434\/(-1147))\/7?\nAnswer: 2, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2*(44\/10 - 4). Let i = 10 + -16. Let q = 1 - 2. Which is the second biggest value? (a) o (b) i (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18687588 and 1060?\nAnswer: 93437940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 5:33 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41 - 167*w**2 - 24*w**2 + 41 to y*w + j*w**2 + k and give j.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 9*x**2 + 10*x - 11. Let g be d(8). Suppose -2 - 13 = g*m. Let s be -1*(3 - -1) - -4. Sort s, -1\/3, m in ascending order.\nAnswer: m, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 7*h**3 + 0 - 1 - 179*h - 6*h**3 - h**4 + 5 as p*h**4 + y*h + d + l*h**2 + t*h**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1761 - -3253. Let v = y - 1491.999998999. What is v rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20769 divided by 21?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of t**2 + 121441701*t - 209568396?\nAnswer: 2*t + 121441701","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {g: 7, y: 6, k: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*n**3 - 164*n**3 - 144*n**3.\nAnswer: -568*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1709*j**3*s**2 - 5248*j**3*s + 1282*j**3 + 53865*j**2*s**2 - 8*j**2 wrt s?\nAnswer: 3418*j**3 + 107730*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (46\/(-72))\/((-1143)\/(-36) + -12) and 10\/9.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -654165 (base 16) to base 14\nAnswer: -c4a473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 0*t**2 + t**2)*(3*t**3 - t**3 - 3*t**3) - 4*t**5 - 6*t**5 + 6*t**5.\nAnswer: -5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1540)\/110*(-6)\/14. Let a be 125\/30 - 4 - (-518)\/(-12). Are g and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g + 21. Let k be x(-11). Suppose -f - 1 = -3. Let u be (20\/15)\/(1\/(-3)). Put k, f, u in increasing order.\nAnswer: u, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/215318 and -5\/1714186?\nAnswer: 927374626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304876 (base 9) to base 2.\nAnswer: -101100001000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 2:23 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 22*o**2 - 1. Let f(l) = 22*l**2 - 1. Calculate -3*f(i) + 4*u(i).\nAnswer: 22*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-352)\/33)\/(-8))\/((-54)\/(-243))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 13. Let j be i(-8). Suppose 8 = -j*a + 73. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22\/3173 - -137881\/1123242. Find the common denominator of u and 71\/14.\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(10) + (((sqrt(70) - (sqrt(70)*-5 - sqrt(70))) + sqrt(70))\/sqrt(7) - sqrt(10)))\/sqrt(2))**2.\nAnswer: 48*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 7127*a + 7135*a - 22.\nAnswer: 8*a - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 + 40*h + 46. Let i(o) = -o**3 - 22*o**2 - 60*o - 36. Let c be i(-19). Let u be z(c). Solve -f - 6 = f + 4*k, 18 = -u*f - 2*k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115*n*v**4 - 22*n*v**3 - 65*n*v**2 + 2*n + 6*v**2 - 2 wrt v.\nAnswer: 2760*n*v - 132*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*g + 7*l - 2, 39 = 4*l + 5*l + 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14450\/(-1020) - 5\/6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 11 + 5 = 0. Suppose p = -w*p. Let q = 3 + p. Calculate the remainder when 8 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -4 (c) -1\/2 (d) -1\/9 (e) 121.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3980*b - 6700*b - 2*b**2 + 3168*b.\nAnswer: -2*b**2 + 448*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbmj when four letters picked without replacement from {o: 1, x: 1, g: 3, m: 3, b: 2, j: 3}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**4\/13 + 10*v**3\/13 + 32*v**2\/13 - 136*v\/13 + 96\/13 = 0.\nAnswer: -4, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 49\/5 of a kilogram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - p**2 + p - 1. Let t be k(1). Solve -4*z = 3*s + 9, t = 3*z - 2*z + 4*s + 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 350 + 91. Let a = v + 413\/3. Calculate the common denominator of 31\/10 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/8*0)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26118295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/(-198)*(-2)\/(132\/(-18))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 + -65. Solve 2 + 2 = v*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - 21 - (4 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z + 2. Let r = -1123 + 1127. Let j(s) = 0*s - s + 2*s - 1. What is r*j(h) + 3*g(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 189176 divided by -52\nAnswer: -3638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -512.\nAnswer: -509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.06 + -0.06. Let v = u - 1.2. Is v at most as big as -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 117565, 235120, 352673, 470224, 587773, 705320, 822865?\n\"Answer: -w**2 + 117558*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by 5\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 5. Let b be c(14). Let t(o) = -b*o + o + o + 5*o. Let n(w) = -7*w**2. What is n(t(l))?\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*u - 2614250 - 585280. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3919195 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*q - 12 = -36*q, -5*c - 3*q + 24 = 0. Factor -3\/7*w**c + 0*w**2 + 6\/7 + 9\/7*w.\nAnswer: -3*(w - 2)*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25.191 - -0.137.\nAnswer: -25.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -11*q - 11*q - 34 + 24*q. Let z be b(17). Suppose -44*c + 47*c - 123 = z. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 5*b**2 + 6*b - 3. Let w be r(4). Suppose -h + w*h = 556. Suppose 53 = 6*d - h. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21939.\nAnswer: 3, 71, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 188768?\nAnswer: -3\/188768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 9515949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-310)\/124*6\/20\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*p**2 + 16 - 7 + 100*p**3 + 4*p**2 - 2*p**2 - 8 + 537*p wrt p.\nAnswer: 600*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4493, -4, 5, -3 in ascending order.\nAnswer: -4, -3, 5, 4493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14 + (-3 + 0 - -3). Suppose 4*x + 7 = -3*a, -3*x + 2*a = -x - u. What is the third biggest value in 3, x, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12\/5, 41, -3, -0.3629?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(4\/42)\/(21\/49).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-95256)\/(-10) - (-2 + ((-136)\/40 - -5)). Round o to the nearest 100.\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*g - 122 = 93 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4016064 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6079*b - 3420*b + 6170*b.\nAnswer: 8829*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 295969437 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.7 plus -0.21?\nAnswer: -19.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 take away 89.41665953?\nAnswer: -167.41665953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.12 and -7.6551?\nAnswer: 7.5351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 7. Suppose x + 2*x + 9 = 0. Suppose 0 = -3*u - 3*m - 18, 30 = 142*u - 143*u - 5*m. Put u, g, x in decreasing order.\nAnswer: g, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence znnz when four letters picked without replacement from nznzzzznzzz.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 31.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkhhkkkkkkh.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyzwf. Give prob of picking 1 y and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huwhawc. What is prob of picking 2 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -122 = -122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 5*d**2 - 6*d + 6. Let p be l(4). Let w = 6 + p. Factor -18*c**2 - 5*c**4 + c + 3*c - c**w + 24*c**3 - 4*c**4.\nAnswer: -2*c*(c - 1)**2*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1, -0.4, -31\/12, -10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481 = 28*u - 313 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2080*w + 6 = -2079*w. Solve 0 = 2*b + w*b + 32 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43418 is divided by 14470.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 7:51 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82040421?\nAnswer: 3, 191, 143177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 14, 115, -4 in ascending order.\nAnswer: -4, 14, 40, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6430261?\nAnswer: 6430261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 11:13 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((0 + sqrt(153))*4 + (sqrt(153) + 3 + sqrt(153))*6 + -3)*-3)**2.\nAnswer: 12960*sqrt(17) + 354534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 993 = -4*n + 339, -2*r - 3*n + 664 = 0. Suppose 0 = -3*i + 100 + r. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-16))\/((-136)\/272)*8)\/((-1)\/25).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 29*l - 3564. Let c be j(123). Factor 12\/5*u**2 + 8\/5*u + 4\/5*u**c + 0.\nAnswer: 4*u*(u + 1)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 191 (b) -11 (c) -2 (d) 0.4 (e) -129 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*x + 2926, x + 54 = y + 1513. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(64) - sqrt(40)\/(sqrt(10) + sqrt(20)\/sqrt(2)))*2)\/(6*(sqrt(72) - (-2*sqrt(72) - sqrt(72)) - sqrt(72))*-1))**2.\nAnswer: 169\/648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -45 (c) -376\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4283090 - -3431\nAnswer: 4286521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -30. Let s = a + -8. Calculate the lowest common multiple of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 25*n - 1. Let d(j) = 616*j - 3. What is 2*d(m) - 6*q(m)?\nAnswer: 1082*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21687, 21704, 21723, 21744, 21767, 21792, 21819?\nAnswer: 21848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 3. Let c(a) = 4*a. Let t be c(-1). Let l(k) = 11*k + 21. Let m(g) = -29*g - 55. Let w(y) = 37*l(y) + 14*m(y). Calculate t*w(f) - 9*b(f).\nAnswer: 5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 429*b - 448 wrt b?\nAnswer: 429","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9385? (a) -3\/7 (b) 5\/7 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -105397 less than 4?\nAnswer: 105401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-105))\/(3\/150*8).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((-294)\/(-112)*16 - (-9)\/3)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -102*a + 14 + 19 + 50*a + 46*a. What is j(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from leevaveleveaevew. What is prob of picking 2 v and 2 e?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 2*i + 110, -i - i = -4*k + 106. Suppose -8*p + k = -16. Suppose p*b + 25 = 585. Calculate the highest common divisor of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4401.00979 rounded to the nearest ten?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/(-60 + (-29062)\/(-484))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 1221*g + 1. Let m(r) = 1994*r - 3993*r + 2000*r. Calculate m(q(x)).\nAnswer: 1221*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222\/10*(4\/10)\/(((-14490)\/(-875))\/69).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56 in 0, -3.595, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21626 and 68810.\nAnswer: 756910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 6:53 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 0, -4*j + 19 = d + 3. Suppose -w + 26 = j. Let a = 94 - 53. Calculate the remainder when a is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(-2)*b)\/(b\/(b**(-1\/15)\/b))*(b**10\/b)\/b**6 assuming b is positive.\nAnswer: b**(89\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 9*z + 31. Suppose -3*r + 5*l - 43 = -6*r, -l = 1. What is the units digit of a(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -164, 1, 3, -1433 in ascending order.\nAnswer: -1433, -164, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 159.552 microseconds to hours.\nAnswer: 0.00000004432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35417452 and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*k + k, 3*o + 2*k = 1. Suppose -5*g - 4 = o. Let y(l) = -14*l**2 - l. Determine y(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215871534.\nAnswer: 2, 3, 29, 137849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(125) + -1 + sqrt(125) + sqrt(125) + sqrt(125))*5 + 0 - (-1 + (sqrt(125) - (sqrt(125) + 0)) + 2)))**2 + -1.\nAnswer: -4800*sqrt(5) + 200143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -873 + 876. Let g be (2\/10)\/((-4)\/(-70)). Is u equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -9) + (5 - (-35 - -23))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2088755.\nAnswer: 5, 417751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -148*l - 120*l + 284*l + 2. What is r(-4)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/5 + (-273)\/(-15). Suppose -3*x + 2*j + w = -x, -6 = x + 2*j. What is the tens digit of ((-102)\/x)\/(6\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u + 4. Let a be y(3). Let g = a - -5. Suppose g = -n - 2*n + 12. Solve 11 + 1 = n*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1012728, 1012712, 1012696, 1012680?\nAnswer: 1012664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1473*s**2 - 3*s + 61. Is n(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146 - -185. What is the remainder when y is divided by (2 - 1)\/(((-33)\/60)\/(-11))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57589335 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 17 = -158. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u - 143*u - 2072 = 132*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (12 + -6 + -3)) + 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141 (base 5) to base 3.\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z**2 - 17*z**2 + 14 - 16)*(-25 + 25 - 2*z**2 + 14*z) to the form k*z**4 + u*z**2 + y + v*z + w*z**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 58, 62, 74, 100, 146, 218?\n\"Answer: w**3 - 2*w**2 + 3*w + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - s. Let y = 2 + s. Let w be ((-2)\/3)\/(y\/(-12)). Solve 7*a = w*a - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 21*r**2 + 6*r + 277. Let i be a(20). Put 90, 7, 1, i in descending order.\nAnswer: 90, 7, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6994 - 68608 - 11576 - 50056 - 54290 + 34970)*(r**3 - 3 + 3).\nAnswer: -142566*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/8)\/(3\/18*-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5413 times 108\nAnswer: -584604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1165, 4657, 10459, 18565, 28969?\n\"Answer: -s**3 + 1161*s**2 + 16*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 10530673 and 10530673 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -178 (c) 3\/2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1370185 is divided by 7288?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 15*h + 1. Calculate c(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -0.08. Let b = 0.02 - w. Let c = 0.05 - -1.95. Put c, 4, b in ascending order.\nAnswer: b, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-112)\/(-63) + 0 - (-4)\/18. Suppose -210 = -0*o - v*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/5 + 179*w**3\/5 - 147*w**2 - 531*w\/5 + 3294\/5.\nAnswer: (w - 3)**2*(w + 2)*(w + 183)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3289*r**3 + 2*r**2 + 2*r + 1. Let l be t(-1). Let a be 4\/(-14) + 884\/l. Let s = a - -427\/235. Find the common denominator of s and 27\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l - 1. Let k be r(3). Let n(z) = -z**2 - 15*z - 39. Let g be n(-10). Let u = g - k. Solve -2*x + 5*x = u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/18*(-945)\/6. Suppose -88*v = -81*v - x. What is the greatest common divisor of v and 360?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 943? (a) -3\/2 (b) -0.5 (c) -120\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 5:44 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w\/w**(-2\/7))\/w*w)**(2\/17))**(1\/36) assuming w is positive.\nAnswer: w**(8\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -53?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/7 + 1171*t\/7 + 3522\/7.\nAnswer: -(t - 1174)*(t + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*d - 150. Suppose 0 = 2*v + v - d. Is (-4)\/v - 254\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.17*4.\nAnswer: -40.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/24 - 26*(-3)\/684. Let l = r - -85\/171. Factor -l*k + 2\/9*k**2 + 0 + 2\/3*k**3.\nAnswer: 2*k*(k + 1)*(3*k - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -423733, -847400, -1271029, -1694620, -2118173?\nAnswer: -2541688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 18*f + 13071 = -5*n, 2*n - 5*f = -5242. Round n to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-15 - -7) - (0 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110101100001011 (base 2) in base 3?\nAnswer: 10001112120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02845928 to 4 decimal places.\nAnswer: -0.0285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 10*m + 221. Let k(q) = 7*q + 221. What is -3*a(g) + 4*k(g)?\nAnswer: -2*g + 221","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 230433.697 to the nearest 1000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -1 (c) -16 (d) -1\/3 (e) 0.5 (f) 2\/254017\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 9:32 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 618 and 15862.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 14 + 35 + 2020*c**2 to the form z*c**2 + s + i*c and give z.\nAnswer: 2020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/14 + 6\/(-4). Which is bigger: q or -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*l = 128*l - 9, 13*t - 3*l - 35 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 553\/4260 - -1\/284. Let q be (12\/10)\/((-3)\/30). Let z be 0 - 1\/q - 0. Put -2\/9, z, o in decreasing order.\nAnswer: o, z, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 670*s**2 - 24*s - 581*s**2 + 23*s - 2*s**3 - 89*s to the form j + d*s**2 + u*s**3 + y*s and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 43, 33, 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 293.7 + -288.7. Which is the third smallest value? (a) 4 (b) i (c) 6 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5971069*c + 5970973*c - 11942032*c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -2 + -1 - -5) + -7 + 12.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 3 + (1 - 2 + 3)*(0 + 5 - 4) - 1 + 0 + 0 - 4 - 5 - 3)*(0*p - 2*p + 3*p) to the form a + n*p and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 14800*n**2 + 208060*n + 356880.\nAnswer: -5*(n - 2974)*(n + 2)*(n + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185329.\nAnswer: 241, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w**2 - 1. Let f(s) = -s**2 + 7*s - 5. Let y = -8 + 14. Let u be f(y). What is the units digit of b(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjk when three letters picked without replacement from uuukquweueujujuqk.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 558 - 253. Let n = 311 - l. Solve a - 2 + n = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 4e3928c?\nAnswer: 4e39289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 741 and 1178?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1216) + (sqrt(1216) + 0)*3 - sqrt(1216))*-2)**2 + ((2*sqrt(1216) + 3)*-2*6)**2.\nAnswer: 13824*sqrt(19) + 2277648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4472*l + 4479*l = 0. Solve 5*u = 2*f + 15, -5*f = -l*u + 4*u + 21 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14698880, -14698879, -14698878?\n\"Answer: a - 14698881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4 + 0\/(-12)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2277 is divided by 58.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -122 - -120. Let f(u) = u**2 + 4*u + 9. Let j be f(x). Which is the nearest to -0.06? (a) 1\/3 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 18. Suppose -4*s + 331 = -k, -4*k + 419 = 2*s + j*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + 0.54. Let h = 1.2 - 0.2. What is the third smallest value in h, x, -3\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 23 = -t, -4*t - 29*w = -28*w - 13 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/5)\/(213\/710). Sort 27, 1, c in ascending order.\nAnswer: 1, c, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355236810.\nAnswer: 2, 3, 5, 47, 251941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 106*c**2. Let t(r) = -284890*r - 2. Give t(m(k)).\nAnswer: -30198340*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.75 - -0.25. Let d = 6217 - 6189. Put -5, r, d, 0 in descending order.\nAnswer: d, r, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -575383 - -1?\nAnswer: -575382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 319 and 2204.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38 + -11?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 652 = 2*x - 5*h + 682, -2*h = 5*x + 17 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1484 and -10469?\nAnswer: -15535996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*r - 3. Suppose v + 4*v + 2*t = 0, 0 = -v + t + 7. Suppose r*o = -2*d - 7, -3*d + v*o + 18 = -d. Solve -d = 5*k - k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-567)\/27)\/(-84)*-14*3\/((-42)\/(-304))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 662743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**3 - 3*i**2 - i - 1. Let t(g) = 6*g**3 - 4*g**2 - g - 2. Suppose 12*w + 19 = -4*y + 15*w, -w - 3 = y. Calculate y*v(q) + 3*t(q).\nAnswer: -2*q**3 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 + 453 - 53182*m**3 - m**2 + 2*m + 53187*m**3 as s*m + k*m**2 + x*m**3 + y and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/(-21) - 4\/(-6). Let q(s) be the first derivative of 0*s + 3\/16*s**4 + 1\/12*s**3 - 1 + j*s**2. Factor q(g).\nAnswer: g**2*(3*g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 4*y**2 - 4*y + 4. Suppose 2*b + 3*b + 4*u + 29 = 0, b - 3*u + 2 = 0. Calculate n(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/14 and 69\/176.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 7 (c) 5 (d) 178 (e) -2 (f) -689 (g) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -774*g**3*i**2 + 35*g**3 - 2208*g**2*i**2 + 8127*i wrt i.\nAnswer: -1548*g**3 - 4416*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -986, -1972, -2958?\n\"Answer: -986*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25708 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 485 divide 643842350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-6)\/(-8) + 5 + 0. Let q(y) be the third derivative of 2*y**k + 1\/3*y**3 - 1\/20*y**5 + 0 + 0*y**4 + 0*y. Find the first derivative of q(u) wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 79?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.24375983 * -7\nAnswer: -1.70631881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 2383166?\nAnswer: 7149498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in 6\/13, -0.3, -58.4, -4?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -279\/70 - -37\/10. What is the closest to w in 1, -3\/5, -29, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*t - 8 = 0, -4*t - 34 + 2 = -4*b. Let a = -1405 + 1418. Calculate the remainder when a is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25332 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-r + 3*r + 0*r)*(r - 1 + 1) + 0*r**2 + 2*r**2 - r**2)*(-2*r**3 - 1 - 7 + 4).\nAnswer: -6*r**5 - 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -16*c**3 - 948*c**2 + 3796*c + 1008 = 0.\nAnswer: -63, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150 and 203480760.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 x when three letters picked without replacement from {t: 2, x: 4, v: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30269056 and 96?\nAnswer: 90807168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*z + 8*z - 8*z - 3 - z + 3 + (-2 - 3 + 1)*(-2*z + 3*z - 2*z) in the form n*z + t and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 14?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -544, -552, -574, -616, -684, -784?\n\"Answer: -c**3 - c**2 + 2*c - 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, u: 1, k: 1, w: 7, f: 3}. Give prob of picking 1 w and 1 u.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00467518 to four decimal places.\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58374671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*y**2 + y + 530*y**3 + 526*y**3 + 1 - 1581*y**3 - 6*y + 527*y**3 in the form g*y**2 + p*y + j*y**3 + i and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x - 3*x + 4*x. Let k be (6\/(-5))\/(10\/(-25) + 0). Let c(s) = 0*s**2 - 4*s**2 + k*s**2. Give c(t(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.5060414 rounded to one dp?\nAnswer: 9.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3942876231 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35674?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 2:14 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**7\/105 - d**4\/8 - 4*d**2. Find the second derivative of w(f) wrt f.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1376.99999179 - 1377. Round p to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**2 + 0*h**3 - 3 + 0*h - 1\/24*h**4 - 1\/120*h**5. Let r(t) be the second derivative of j(t). Suppose r(o) = 0. What is o?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - o**2 - 10 - 8*o + 0*o**2. Suppose -20 - 9 = -d + 3*g, 2*d + 118 = -10*g. Calculate x(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -3279095.\nAnswer: 3\/3279095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**3\/6 - 3*n. Let u be i(0). What is the units digit of 1 - u - -1 - -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 950*u - 130048. Calculate x(137).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (12832800\/1600)\/(1\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15876691 smaller than 15876701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(27) + sqrt(3) + 3)**2 + (((sqrt(144) - -1*sqrt(144)) + sqrt(144))\/sqrt(3))**2.\nAnswer: 48*sqrt(3) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**4\/5 + 2*c**3 - 13*c**2\/5 - 22*c\/5 = 0.\nAnswer: -11, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11877, -11881, -11887, -11895, -11905, -11917?\n\"Answer: -d**2 - d - 11875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/5 - s**3 - 42*s**2\/5 + 36*s + 216\/5.\nAnswer: (s - 6)**2*(s + 1)*(s + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-6))\/((-12)\/(-18)). Let c(b) = 12*b**2 - 1. Let r be c(v). Let x = r - 16. Put 3, x, 4 in decreasing order.\nAnswer: 4, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(3*4\/(-60)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*o + 2*z, 6*z + 4 = 4*o + 2*z. Is 8 a factor of 3\/(o\/347) + 5\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-111)\/(-39) - 12\/4. Is c less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-8)*2*-2. Solve -b*n + 1 = 10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-543*u - 390*u + 120*u + 4)*(3*u**2 - 5*u**2 - 2*u**2).\nAnswer: 3252*u**3 - 16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5262 divided by 2.\nAnswer: -2631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 190304461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 80171, 320640, 721423, 1282520, 2003931?\n\"Answer: 80157*f**2 - 2*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t = 3*x - 2186, -1469 = -2*x - 5*t. Does 21 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 2*g**2 - g. Let f be x(-3). Suppose -2*m + 2*n + f = 0, 5*m + 2*n + 3 - 19 = 0. Solve -j - 8 + m = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2395989 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.127, 3, 14, -0.1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.9 + -31.7. Let g = 44.9 + x. Let y = 16 - g. Which is bigger: y or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 131 + 131. Calculate the least common multiple of 4 and w(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 1028516754.\nAnswer: -1028516753.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + j - 2 = 2*m, 3*m + 2 = j. Suppose -5*p + m + 20 = 0. Factor -1\/2*b**p + 0 + 0*b + 1\/2*b**3 + b**2.\nAnswer: -b**2*(b - 2)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*h - 2. Let v(t) = -t**2 - 3*t**2 - 2*t**2 + 0*t**2 - t - t**3 - 3. Let j be v(-6). Solve -r = j - h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -413 + 399. Sort 4, 2, b, 1 in descending order.\nAnswer: 4, 2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, 0.42, 1\/2 in descending order.\nAnswer: 166, 1\/2, 0.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7398 - 8014 = -4*a. Solve 3*s - 12 = 3*o, -16 = -149*o + a*o - s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 414 + -411. Let p be ((-4)\/6)\/(2\/(-27)). Let h = -8 + p. Sort -21, k, h in descending order.\nAnswer: k, h, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 4\/2)\/((-2)\/(-36 - 114))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r - 604 = -b, 13 = -49*b + 24*b - 2*r - 54 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from {v: 2, p: 3, t: 4, a: 1, z: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 34. Suppose 0 = -5*f - 0*f. Suppose 4*j = -4*h + 220, -2*h + 3*j + 43 + 52 = f. What is the highest common divisor of h and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-516)\/(-903))\/((-13)\/(455\/(-270)))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*((-5)\/(-2))\/(-1). Suppose -26 = -3*b + 5*k, 5*b + 2*k + k = -2. Suppose b*v + 16 = -2*i, 4*v + 17 = -3*i - 13. Which is smaller: v or o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -278 or -277?\nAnswer: -278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15713174.61 nanoseconds to weeks.\nAnswer: 0.000000025980778125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*c = -2*b - 126*c - 22, 18*b - c + 22 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 16876*f**3 - 15964*f**3 + 38300*f**3.\nAnswer: 5460*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 2*u - 5*u + (0 + 3 - 4)*(2 - 2*u - 2))*(u**4 + u**4 - 12*u**4).\nAnswer: -10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -18*s. Let b(w) = -4*w**2. Give a(b(p)).\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 2)*(0*u + u**4 - 5*u + 4*u).\nAnswer: -6*u**4 + 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 509 = -2*m - 3*n, 0 = -n - 3. Let y(i) = 101*i**2 + 0*i + 0*i - m*i**2. Let x(q) = 7*q. Determine y(x(c)).\nAnswer: 49*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 1025353?\nAnswer: 1025352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u = -12*u + 36*u - 168 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 1:20 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 4)*(3*g**2 - 2*g**2 + g**2) + (-3 + 2 + 0)*(85*g - 85*g + 45*g**2) + g**2 + 2 - 2 to p*g**2 + f + i*g and give p.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -209 - -214. Suppose 5*f - 37 = -4*x, 0 = -z*x + 3*f - 5*f + 42. Let y = 78 - 50. Solve -y = 5*h - x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buyybuybyububbqyyq. Give prob of picking 1 u and 1 y.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 = 3*r, 20 = 3*q + 4*r - 0. Suppose -m - 3*m = 3*j - 40, -j + 5*m - 12 = 0. Calculate the highest common factor of j and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1480.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, j: 1, u: 1, w: 1, v: 1}. Give prob of sequence juu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p - 11. Let f be c(8). Suppose t - 37 = -3*w, -f*t + 0*w + 143 = w. What are the prime factors of 92\/t - 4\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 4:31 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 23*l**3\/6 - 2*l**2 - 9*l + 8. Let v(k) be the first derivative of d(k). List the prime factors of v(3).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/12 + 2\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.23 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2 + (5 - 1 - 3)*(3 + 1 - 2) - 4 - 1 + 6 - 16 + 6 - 12)*(-22*t**4 - 1 + 10*t**4 + 10*t**4).\nAnswer: 36*t**4 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 39\/4, -3, 0.3, -2\/5, 0.6195?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18151*p**3 - 2*p - 947996 wrt p?\nAnswer: 54453*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.747 + 0.337. Let j = 0.084 - y. What is the biggest value in j, 50.4, 4?\nAnswer: 50.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y - 6. Suppose -4*v = v - 5. Let s be 4*v*(-3)\/(-12). Let j(n) be the second derivative of n**2\/2 + n. Give s*g(p) + 5*j(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1922401?\nAnswer: 13, 19, 43, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a4 + 10?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 80 = 2*v, k = 3*v + 2*v + 31. Suppose -4*i = -0*y + 4*y - 148, 130 = 4*i - 5*y. Let r = i - k. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*h**2 + 131*h**2 - 58*h**2.\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/170 - -1107\/340. Let b = -36401358 - -22496049431\/618. Let c = -36\/103 - b. Calculate the common denominator of z and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 2*v**2 - 2*v - 5\/6*v**3 + 0 + 1\/4*v**4. Let m be j(2). Solve 10 = o - m*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 2*r**2 - 6*r - 5. Let x be ((-5894)\/10)\/(2\/5). Let g = -1505 - x. What is the common denominator of g and p(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**4\/4 - 5*p**3\/3 - 2*p**2 - 16*p + 16. Let s be o(7). Calculate the highest common factor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-135)\/18 + 1\/2 - -6643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327458593?\nAnswer: 7, 11, 4252709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2121*o = -2120*o - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6}. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*((4*t + 4 - 4)*(-2 + 2 - 4) + 5*t + 1 - 10*t + 1) + 6*t - 4 + 4.\nAnswer: -36*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**2\/3 - 1094*k - 305592 = 0?\nAnswer: -1284, -357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15719*a*u*v - a*u - 15*a*v - 1322042*u*v - 3*v with respect to a.\nAnswer: -15719*u*v - u - 15*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**5 - 1083*n**4\/2 + 11082*n**3 - 66750*n**2 + 136848*n - 53088 = 0.\nAnswer: 1\/2, 4, 14, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 2*z**2 + 3*z - 3. Let f be y(-3). Let v be 2*6 + f\/(-1). What is the highest common divisor of v and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 8:15 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*l - 103*l = -31*l - 460 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2242\/5903 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-14 + 17) - -16\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/sqrt(45) + (sqrt(78) + sqrt(78)*1 - sqrt(78))\/sqrt(6) + sqrt(117)\/(6*(sqrt(9) + sqrt(36))).\nAnswer: 25*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -29 - 1 - (2129 + -2147)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6781*r*u*w**3 + 15*r*w**4 - 706*r*w - 3*u + 4 wrt w?\nAnswer: -40686*r*u*w + 180*r*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = h + 38. Calculate the highest common factor of h and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0612135809 - 8.74.\nAnswer: -8.6787864191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -23*(-4 - 6\/(-3)). Suppose -z + 2 = 2*t - 2*j, -2*j - 51 = 3*t. Let i = -12 - t. Solve -2*c + 5*r = -30, -5*r = i*c - 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 727057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (397 + 175 - 1703)*(2 - 2 - 2*w)*(2*w**2 - w**2 + 6*w**2) in the form j*w + m + y*w**2 + t*w**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -29 (b) -0.032 (c) 92 (d) 4 (e) 0.3 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 21 - -44 - 4 - (18 - -1).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6)*(-4)\/(-3). Let n = 16720 + -16717. What is the biggest value in s, -1\/6, n, -0.9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 - 14*u**2 - 58)*(0 + 2 - 4)*(-5*u + 4*u + 2*u).\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**2 - s**3 - 2*s**2 + 3*s**2 + (2*s**2 - 8*s**2 + 20*s**2)*(4*s - 4*s - 2*s) as b*s + z*s**2 + w + h*s**3 and give h.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 + -64.3. Let d = 9.30000006 + u. What is d rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -4, -121, -250, 0 in increasing order.\nAnswer: -250, -121, -5, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - s - 4 = -5*s, -3*q + 3*s = -3. Let h be ((-616)\/(-196))\/(q\/7). What is the highest common factor of h and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 53672 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmmhkaapkapmla. What is prob of sequence hmlp?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 16 = -4*u, 2*u = -3*t - 0*u - 8. Let p = -13 + 29. Suppose t = -4*x - 0 - p. Find the common denominator of 139\/6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**3 - 1528*i**2 - 9276*i - 13968 = 0. What is i?\nAnswer: -3, 388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4209*l + 101043. Calculate x(-24).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/(-4) + -2)*2. Suppose v*u - 64 = 2*u. What is the greatest common divisor of u and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6086 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -5.4. Let q = -64.2 + 64. Let x = -5 + 9. What is the third smallest value in q, y, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -16. Suppose -g = -2*r + 1. Solve 5*w = r + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74 + 104. Suppose -44*l + 2489 - 69 = 0. Calculate the remainder when l is divided by h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.0582 + -6.\nAnswer: -3.9418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v - 4*v + 2*v)*(-101 - 112 + 1252) to g + o*v and give o.\nAnswer: 1039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w - 1116 = -1281 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 23. Suppose 11*k - s = 10*k. What is the remainder when 33 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 147*s**3 - 1820*s**2 + 5389*s + 149. Let c(g) = -74*g**3 + 910*g**2 - 2698*g - 74. Let b(y) = -10*c(y) - 4*p(y). Factor b(d).\nAnswer: 4*(d - 6)**2*(38*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*o = 1741*o - 127512 for o.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -32*m**2 + 15748*m - 1962. Calculate q(492).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58.6494 - 49.36. Let q = -107.808 + -0.192. Let d = q - g. What is d rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12428279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 2*u = 2*z - u + 89, 4*z = -12*u + 476 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 56, 234, 532, 950?\n\"Answer: 60*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/15, 0, -1\/7, -0.2, 2 in descending order.\nAnswer: 2, 0, -1\/7, -0.2, -8\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-30) - (65\/(-50))\/(-13)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 - -53. Find the third derivative of -32*k**2 + 2629*k - 2629*k + 3*k**p wrt k.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (30 - 2)*((-36)\/(-30))\/((-32)\/(-14800))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 822373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1101000110111111101100 (base 2) to base 10\nAnswer: 3436524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -12*f**3 + 15*f**2. Let q be 36\/10 + (-3)\/5. Suppose 18 - q = -j. Let v(r) = 3*r**3 - 4*r**2. Calculate j*v(s) - 4*z(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l - 31 = -76 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 11*d - 380. What is c(-15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302 is divided by 101.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 722, 106, -37\/2?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 47*x - 2. Let r(g) = 23*g. Determine p(r(z)).\nAnswer: 1081*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.057714 + -0.057714. Suppose -m - 27 = 2*m. Which is the fourth biggest value? (a) f (b) -2\/5 (c) 2\/5 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**3 - 3*r**2 + 4*r - 2. What is m(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/5 (b) 366 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*c**3 + c - c - 228*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 5*k - 10*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -190*-0.1\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 480 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2) + (-9)\/(-2). Let d = 7 - m. Find the second derivative of 4*i - i**3 + d*i**3 - 6*i wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 251568 by -3.\nAnswer: -83856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 58333*g**3 + 5*g**2\/2 - 4*g - 1. Suppose -3*x = -11 - 1. Let z be r(x). What is z rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/15*490\/4)\/(((-16055)\/260)\/247).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.64895 decades to centuries.\nAnswer: 7.364895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -11*l**4\/12 + 4*l + 190. Let x(n) = 7*n**2 - 13. Determine x(i(u)).\nAnswer: 847*u**4 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 149 - 70. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 185 + -186. Put h, 1, -2\/7, -1.6 in decreasing order.\nAnswer: 1, -2\/7, h, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -288 (base 11) in base 8?\nAnswer: -522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 66000 and -0.3.\nAnswer: -19800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (26\/(-78))\/((-2)\/3246). Let y = f - -1096. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + 1.5. Let q = 35 - k. Round q to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.777 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -294, -300, -312, -330?\n\"Answer: -3*a**2 + 3*a - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 12*v**2 - 6*v + 1721. What is f(0)?\nAnswer: 1721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*u + 3*o, o - 4 + 3 = 0. Let k be -4 + (u - -3) + 13. Suppose -2*x - k*x + 2950 = 0. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p + 44. Let g be l(-12). Suppose 44 = 2*s + g. Solve 3*t + 3*o = s, 5*t + 4*o - 31 = -11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45329 - -80348. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -1. Let j(v) = 2*v**3 + 4*v + 36. Let w(d) = j(d) + 3*q(d). Let h(t) be the first derivative of w(t). What is the derivative of h(o) wrt o?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -6*i + i. Let m = 46 - i. Solve b + 2*b - 2 = -5*r, 2*b - m = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 10:34 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1584 or 219814?\nAnswer: 1584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 5*g + 1 - g)*(1 + 0 + 0).\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53755.54 centuries to months.\nAnswer: 64506648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*u + 5, -2*t = 2*u - 6 + 4. Suppose -f - 13*f + 854 = t. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -285 - -286. What is the remainder when (-21312)\/(-176) + f\/(-11) is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -aa (base 11) in base 12?\nAnswer: -a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (12 - 22) - 2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 7*r**2 - r - 40. Let a be g(-6). Put -55, -4, a in descending order.\nAnswer: a, -4, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36450.79 to the nearest one hundred.\nAnswer: 36500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5433496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 + -43. Suppose -t + 5 = -h. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 + 19*f - 7. Let p be l(-10). What are the prime factors of (-15)\/2*(-3 - p)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.01, -2\/3603?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3, 0 = 4*g - 2*b + 16 + 30. Let w = g - 85. Let x = w - -218. What are the prime factors of x?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23 and 180.4.\nAnswer: 203.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jakapaceejkje. Give prob of picking 1 c, 1 p, 1 a, and 1 j.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 81647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l - 1. Let d be t(3). Let y be (d\/(-12))\/((-6)\/(-316)). Let i = y - 7999\/180. What is the common denominator of 99\/16 and i?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2438\/3657)\/(3\/(-2)*(-24)\/(-9))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29 - 30?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136573 is divided by 220?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*8\/(-16)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f + 23. Let d be h(8). Does 20 divide (-719)\/(-7) - (-18)\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1014*c + 8406 + 30652 = -2516 for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 165 = -156. Let r(b) = -3 + 868*b**2 - 437*b**2 - 433*b**2 + 3*b. Let x(c) = 2*c**2 - 4*c + 3. What is j*x(k) + 4*r(k)?\nAnswer: -2*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -47651, -2, -1 in decreasing order.\nAnswer: -1, -2, -8, -47651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7*x**2 + 2*x - 1. Let s(h) = 15*h**2 + 5*h - 2. Let o(p) = -2*s(p) + 5*v(p). Differentiate o(w) wrt w.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2*a - 5*u = 47, -a - 3*u - 1 = 0. Suppose -s = 0, s + 6 - 38 = -2*o. Calculate the greatest common factor of a and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and -1.65.\nAnswer: -26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 457017 and 1089?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2786367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -92, -91, -100, -125, -172?\n\"Answer: -d**3 + d**2 + 5*d - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 462.6 - 424. Round z to 0 decimal places.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4214*r + 27840*r + 28640*r + 21103*r.\nAnswer: 73369*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4120 and 196215?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/5)\/(((-162)\/(-1080))\/((-2)\/2)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 1. Suppose 12 = -j*o - 124. Is o\/(2\/3*-1) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*o + 15. Suppose -5*p - 9 + 22 = -2*j, 4*j + 11 = o*p. Factor -5*l**p + 2*l**2 - 2 + 0*l**2 + 2*l + 3*l**3.\nAnswer: -2*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, -11, -99, -243, -461, -771, -1191, -1739?\nAnswer: -2433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 91647*k + 183282.\nAnswer: 3*(k + 2)*(k + 30547)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/10)\/(3\/(-15)). Let n = 11 - w. Calculate the remainder when n is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 21.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 752284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9167.25 nanograms?\nAnswer: 0.00000000000916725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2716139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -4776899.\nAnswer: -4776902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, w: 5}. What is prob of picking 4 w?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -117872*v - 10844213. Give q(-92).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + k, 0 = 17*n - 21*n + k - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.622 - -10.622. Which is the biggest value? (a) r (b) 0.02 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1*2*sqrt(7) + 0 - (sqrt(7) + -1 + sqrt(847) + sqrt(7) + 3)))**2 + -5.\nAnswer: 132*sqrt(7) + 878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in 0.5, 3\/4, 4\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*k - 54*k - 13 = 0. Let c(h) = 2*h**3 + 25*h**2 - 13*h + 2. Let t be c(k). Solve t*a = -3*a + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39956*a**6 + 516*a**2 + 21*a?\nAnswer: 4794720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 2, 0.2, -5, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 3*t = 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**2 - 10*z**2 + 8*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4354684*-0.2\nAnswer: 870936.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3.5055199, 6 in decreasing order.\nAnswer: 6, 3.5055199, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2706212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8758533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 8) + (-10 - (-4 + -8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9771 - (-2)\/(0 + (2 - 0))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-10) + (-3)\/5. Let d = 9 - 5. Is 596\/16 + i\/d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.9, -158\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 7043520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/2 (b) -2 (c) 2\/23 (d) -8 (e) 22.93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (308\/8855*46)\/((-4)\/(-70))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 2:56 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 69?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -67*b**2 + 98*b - 198. What is i(2)?\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3, 3*r + l - 744 = -2*r. What is the remainder when r is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -33*b + 129. Let c be t(4). What is the common denominator of (-3)\/198*c*(-1552)\/32 and -79\/14?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(9)*3 + sqrt(9) - sqrt(9) - sqrt(9)) + sqrt(4))\/sqrt(2)*-1*3.\nAnswer: -9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.158 + 3.716. Let b = a - -0.126. Let x = 1 - 1. What is the nearest to x in -0.01, b, -5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 - y**3 + 3*y**3)*(4 - 2 - 3)*(-133 - 76 - 135).\nAnswer: 688*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -36\/5, -2\/9 in descending order.\nAnswer: 2\/15, -2\/9, -36\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 15, 4*a - 210 = 5*g + 155. Suppose 3*z + 59 = 2*k - 5, -4*z = 5*k - 206. Calculate the highest common factor of k and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 18 - 14. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 4*y - 10, 4*c = 2*c - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 3:51 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 14.9. What is the nearest to 0 in 2\/9, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 19*z**2 - 127*z - 948. Let h be q(-7). What is the highest common factor of 69 and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -463 - 37 = -w. Which is bigger: w or 501?\nAnswer: 501","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 15*h**2 + 7*h - 29. Let q be v(-17). Let x = -427 + q. Calculate the smallest common multiple of 60 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 2725.71.\nAnswer: 2721.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -14.000001. Round f to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49570 (base 11) to base 4\nAnswer: 101120321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 837*v**3 + 853*v**3 + 853*v**3 + 893*v**3 + 855*v**3 - 4295*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 120*o**4 - 5*o**2 + o - 64. Let v(b) = -b**2. Let m(g) = j(g) - 5*v(g). What is the second derivative of m(q) wrt q?\nAnswer: 1440*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1769?\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 4*t. Let c(w) = w**2 + 4*w. Let d(x) = 4*c(x) + 5*k(x). Let l be d(-2). Solve m = -2*m - 5*q - 2, l*q = -3*m - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n + 2. Let d(y) = -y. Calculate -4*d(a) - 2*j(a).\nAnswer: -4*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6*k**2 - k. Let w be b(-1). Let z be (-15)\/4 - 3\/12. Let t be 4 + ((-12)\/15)\/2*5. Sort t, w, -1, z in descending order.\nAnswer: t, -1, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**4\/24 - j**2. Suppose 0*m + 5*u + 628 = 3*m, 4*u + 418 = 2*m. Let c(d) = 2*d**2 + 211*d - m*d. What is g(c(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 34 = -4 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 0*k**3 - 2*k**3 - 12*k**2 - 11*k + 98926 - 98940. What is n(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3871, -2, -8 in increasing order.\nAnswer: -3871, -8, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 4, w: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - (sqrt(133) - (sqrt(133)*-5 - sqrt(133)))*-6) + 1*5*sqrt(133))\/(4*-5*sqrt(63)*6).\nAnswer: -2*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 2:30 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*m - 23 + 4, 5*n - 2*m - 20 = 0. Suppose r - 5*t = -r + 5, 4*t = -n*r + 14. Let z = 2 - 2. Solve z*s - 25 = -r*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1.9 (b) 3\/7 (c) 3.15 (d) -8 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385568?\nAnswer: 2, 12049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1203493?\nAnswer: 1203493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*t - 44. Suppose -s + 3*u + t = 0, -s + 2*s + 3 = -2*u. What is the smallest common multiple of (-35)\/(-95)*(-456)\/(-24) and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 152855 or 152857?\nAnswer: 152857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/18*15 - 0)*3. Solve 2*t - 5*h = t + u, 0 = t + 2*h + 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uziuhxicz. What is prob of picking 2 z, 1 x, and 1 i?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 14. Let s(i) = -i**3 - i - 2. Let q be s(b). Let f be 18\/12*6\/(-3). Do f and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**2*k**3*p - 2*b**2*k**2 + b**2*k - 947*b*k**2*p + 4*b*p - 119047*k**3 wrt k?\nAnswer: 24*b**2*p - 714282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-7))\/((-116)\/406). Solve 33*h - 32*h + j = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/41315 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 0 + 0 + x**2 + 0*x**2. Let q(s) be the third derivative of s**7\/1680 - s**5\/60 + 2*s**2. Let y(l) be the third derivative of q(l). Give y(c(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 + 164. Suppose -3*p - u = 2*h, 3*p - 2*p + 3*h + 39 = 0. Let f = 74 + p. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuoucuupcfcf. Give prob of picking 1 p and 1 o.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 - 2*w**2 - w. Let c(u) = -u**3 + u**2. Let z(v) = 3*c(v) + 2*g(v). Factor z(m).\nAnswer: m*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(-15) - 1)*(-7875)\/252. Let p = 2 - 0. What is the greatest common factor of p and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 + 58*s**2 - s - 28. What is f(-29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2 = -4. Solve 0 = -4*j + c*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 26 = -o, 0 = -5*o - 0*f - 4*f + 101. Suppose 3*d = -n + 86, -2*n = -3*d - 0*n + 71. Calculate the least common multiple of d and o.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17157627 divided by 269\nAnswer: -63783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 1\/165*s**5 - 19\/33*s**3 - 73 + 0*s + 37\/132*s**4 - 2*s**2. Suppose c(l) = 0. What is l?\nAnswer: -19, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -133 * 0.3.\nAnswer: -39.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 1. Let v(m) = 9*m**2 + 6*m - 9. Let n(j) = -k(j) + v(j). Let z = -9 + 16. Let l(c) = -8*c**2 - 6*c + 7. Calculate z*l(s) + 6*n(s).\nAnswer: -2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 - 7*d**2 + 12*d - 10. Is m(5) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -d + 92, -17 = 2*m - d + 31. Let l = m + 15. Let w = -6 - l. Solve -2*h = -w - 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/5 - 0)\/(-15*(-19)\/(-950))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 67.186 + -5468892.\nAnswer: -5468824.814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17844308?\nAnswer: 2, 1801, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94047?\nAnswer: 3, 23, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -r + 2*a + 12, -r + 2*a = -30. Suppose -52*s = -r*s - 79156. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*s**4 - 19734*s**3 + 2*s**2 - s - 3898604 wrt s.\nAnswer: 12*s**3 - 59202*s**2 + 4*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 144799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a**2. Let r(j) be the third derivative of j**5\/60 + 174*j**2. Let g(o) = -3*o**2. Let n(v) = -2*g(v) - 14*r(v). Determine y(n(z)).\nAnswer: -320*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1425 + 905. Suppose 4*v + v - 5 = 0. List the prime factors of (11*v)\/((-8)\/x*5).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1099*d**5*t + 8*d**3*f**2*t + 94*d**2*f**2*t - 2*d**2*f - 2*d**2*t + 2*f**2 wrt d.\nAnswer: -65940*d**2*t + 48*f**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 4 - (-13896)\/4825\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*m**2 + 1077*m - 5*m**3 - 1077*m.\nAnswer: -5*m**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 3. Let w be ((-133)\/532)\/(1\/4). Let y(p) = p. Let c(s) = -9*s + 5. Let v(f) = 4*f - 2. Let u(k) = 2*c(k) + 5*v(k). Calculate m*u(z) + w*y(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15 (b) -2\/11 (c) -4 (d) 5 (e) -6\/5 (f) 2\/57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 85986737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 9*z**2 + 7*z. Let b(t) = -t**2 - 7*t - 18. Let q be b(-2). Give a(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-226)\/5085*(-9)\/4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and -93.\nAnswer: -1209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -l**4\/4 + 14*l**3\/3 - 7*l**2\/2 + 5*l - 11. What is the hundreds digit of a(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + h**2 - 81*h - 270. Let t be c(-4). Solve 2*d - t = -2*x - 4, -4*x - 2*d + 6 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from {v: 1, i: 2, o: 2, m: 1, g: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 137077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*h**2 + 560 - 568 + h + h as q*h + p*h**2 + s and give p.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2613\/25, 0.16, -0.4 in decreasing order.\nAnswer: 0.16, -0.4, -2613\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5199 - -14541. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-9)*6\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-11\/3))**(-25) assuming g is positive.\nAnswer: g**(-350\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 8196 = 2*z + 8179, -2*t + 6 = 4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 18 = -5*a, 75 = 5*x + 81*a - 91*a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40148, -40373, -40598?\n\"Answer: -225*s - 39923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1076082?\nAnswer: 2, 3, 7, 25621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-6))\/((-2)\/124500)*(-2968)\/(-7). Round y to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence goow when four letters picked without replacement from {o: 4, g: 2, w: 4, l: 1, i: 8}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.11, 23\/10.\nAnswer: -1, 0.11, 23\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a tonne in kilograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 3 (c) 3455 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*z + 9 = x, -x - 4*z = 13. Let r = 5 + x. Solve -2*t - 4 = -r*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - 3*v + (25 - v - 25)*(-3 + 1 + 1))*(-2*v + 2*v + v**3)*(2 + 1 - 1).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -25*u**4\/8 - u**3\/3 - u**2\/2 - u. Let v(p) be the first derivative of b(p). Is v(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 87, 4 in descending order.\nAnswer: 87, 4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 892 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2382180 divided by 198515?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, i: 2, q: 1, r: 1}. Give prob of sequence rqi.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -391 - -394. Suppose 0 = -r*j - 2*h + 605, 5*h + 12 - 2 = 0. Calculate the highest common factor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q - 8. What is i(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 6*h**2 - 8*h - 9. Suppose -3*l = -2*s - 5, s = l - 5*l - 19. Let d be n(s). Let t(m) = -81*m - 4456. Let k be t(-55). Sort -5, 5, d, k.\nAnswer: -5, d, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1004*t - 52179 - 4045 for t.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00051489208 to five decimal places.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202331 + -20?\nAnswer: 202311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 623 a factor of 10242743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-4) - 56\/112?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7.7, 0.2, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 804 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -32*j**3 - 400*j**2 - 1426*j - 1058 = 0.\nAnswer: -23\/4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 - -53. List the prime factors of l.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/200)\/((-1275)\/136).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -0*b - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-224)\/30*(-18)\/(-8)*5. Find the common denominator of (-446)\/k + (-7 - -2) and -56\/3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -6, 4 + 8 = 2*m - 4*z. Let n be 0 - (-3)\/((-9)\/(-6)). What is the third derivative of 3*h**2 + h**2 - 3*h**2 + m*h**n - 3*h**6 wrt h?\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14*3*(-1)\/(-6). Let g = -1 + t. What is the least common multiple of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*a - 7424518*a**2 + 22*a.\nAnswer: -7424518*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.68628 litres to millilitres.\nAnswer: 14686.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty ninths of a day?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {q: 1, u: 1, n: 2, g: 1, w: 4}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y = 3*y - 1600. Let p be ((-58)\/y - (-6)\/48)*-5. Which is the closest to -0.1? (a) p (b) -4 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3 = 0, 2*q = b - 0*b + 135. Let t be 4\/(-6) - q\/(-12). Let c(n) = n**3 - 5*n**2 + 3*n + 7. What is the remainder when c(t) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18250281?\nAnswer: 3, 7, 127, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, c: 4, i: 3, f: 1, a: 6}. Give prob of sequence ccf.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42\/(-4)*-114 + (-36)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15471 - -15457. Let b = -5 + 5. What is the nearest to b in 5, k, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w**2 - 564*w + 134. Does 37 divide h(-70)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l - 2. Let g be i(-3). Let h(o) = -o**3 + 11*o**2 - 7*o - 4. Is h(g) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*t**3*w - t**2*w**3 - 2*t*w**3 - 274*w**3 wrt t?\nAnswer: -6*t**2*w - 2*t*w**3 - 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((504\/(-420))\/(21\/(-5)))\/(22\/(-2387))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 87*u + 4 - 10*u + 46*u + 1. Let v be -1*(-1*3 - -2). What is the tens digit of g(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f**3 + 82*f**2 + 4513*f + 71701. Give b(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7\/(196\/384))\/(-2))\/(3*38\/(-399))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1370 + -1338. Let m be (-3744)\/(-130)*(-40)\/(-3). What is the greatest common factor of r and m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -2\/17, -51906\/23, -1\/7, -2, -0.5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1\/2))**12*(h\/h**0*h)**(-7))**(-2\/109))**41 assuming h is positive.\nAnswer: h**(1640\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4054 - 4054 - 4*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 411.97 + -409. Let g = f - -0.03. Let a = -67 - -62. What is the second biggest value in a, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m**2 - 9*m**2 - 3*m + 2*m + 62 + 17*m**2 + 11*m. What is the remainder when x(-11) is divided by 49?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77210801 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 9020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -8*w**2 + 5*w + 3. What is b(2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37 * 1.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-146)\/(-219)*(5\/(-2))\/5.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)*4)\/((sqrt(60)\/sqrt(2))\/sqrt(6)).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558055?\nAnswer: 5, 111611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.7, 6, 4, 0.27 in decreasing order.\nAnswer: 6, 4, 3.7, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/51 + -32\/51. Let i = -102 - -47. Let b = i - -60. Put q, 4, b in increasing order.\nAnswer: q, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5782 and 30030174.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9341875 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 111 - 131. Which is the biggest value? (a) u (b) 4\/5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1744)\/(-6) - 23\/(-69)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-6)*(-36)\/(-42).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 5.7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - p + 20, 450 = -5*o - 5*p. Let f = -55 - o. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 416200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-3)*120\/(-200)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 368711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 8*j**2 + 7*j - 6. Let k(d) = 2*d - 20 + 3*d + 22. Let r be k(1). Determine g(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/31, -5, 3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -4, 19, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 98*x + 4. Let v(y) = -98*y - 3. Let o(b) = -4*p(b) - 3*v(b). Is o(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**4 - w**4 - 3*w**4 + (w**3 - 6*w**3 + 3*w**3)*(-2*w + 8*w - 8*w) to p*w**4 + k + z*w**2 + a*w + d*w**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**3 + 2*p**2 - 4*p - 7. Let g be z(4). Suppose 4*b = a - g, 3*a = 2*a - 4*b + 265. Does 53 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4350?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 140141*f. Let j(u) = -5*u + 2. What is j(i(n))?\nAnswer: -700705*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*w - 40 = 0, -b + 0*w - 17 = -4*w. Suppose 0 = -2*i + 3*s + 12, b*i - i + s = 4. Does 7 divide 7 + i + (-1 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 4*c - 4. Let x(u) = -u**2 + u - 4. Let z be x(0). Let v be d(z). Suppose 0*y + 4*y - v = 0. Solve q + 15 = 2*s, 2*q - y*s = -q - 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2896*f + 66623. What is w(23)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akqakaakaq. What is prob of picking 2 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 2:14 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -645647557*g**5 - g**2 - 22*g - 332945 wrt g?\nAnswer: -38738853420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 60195 and -0.5.\nAnswer: -30097.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/21? (a) 1\/3 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**5 + 84*m**4 - 270*m**3 + 276*m**2 - 93*m = 0?\nAnswer: -31, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 q when four letters picked without replacement from okqqddfqddfqodd.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 30. Suppose g = 2*t - t - 2. Solve -4*n - t*s + 17 = -3*s, -5*n + 2*s = -19 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*o + 24 = -q, -3*q + 4*o = -24. Calculate the remainder when 194 is divided by (48\/q - -44) + -1.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efnnffnnn. Give prob of sequence fefn.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/5 + 22\/5. Suppose -3*u - 19 = -4*b, -3*b + 12 = b + 4*u. Let t be 1100\/396 - b\/(-18). Solve 2*r = -x*q + 5*q + 3, -q - 6 = -t*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 42*k + 240 - 84 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2052 - -1162. Let z = -879 - t. What is the remainder when 53 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426334281.\nAnswer: 3, 142111427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 704 divided by 1\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c + 4*c - 5*c + (2 + 1 - 1)*(4*c - 4*c - 2*c) + 2*c + c + 2*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0, -4.\nAnswer: -10, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4840 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -75, 3\/4, 1\/7.\nAnswer: -75, -1, 1\/7, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -22 + 37 - 12 - 8*x + 2*x**2 - 15. Let p(g) be the third derivative of g**4\/24 + g**3\/6 + 2*g**2 - 6. What is l(r) + 10*p(r)?\nAnswer: 2*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -47b (base 13) to base 4\nAnswer: -30022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*o - 20, 2*o - 2 + 12 = 0. Which is smaller: -125\/4 or w?\nAnswer: -125\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.9 + 2.9. Which is the third smallest value? (a) j (b) -5 (c) 4 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.87 times -865428\nAnswer: 752922.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = -5*t - 3192. What is the common denominator of t\/70 + 0 - (-57)\/19 and -33\/25?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3640.118ml to litres.\nAnswer: 3.640118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 11) to base 10\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.1 - -11. Which is the nearest to d? (a) -5 (b) -1 (c) 116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g - 1. Let h(o) = o + 1. Let f(l) = 24*l + 22. Let b be 2 - 1 - (0 - 1). Let s(q) = b*f(q) - 44*h(q). Give 3*s(t) - 2*u(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((1 + sqrt(3))*-3 - sqrt(6)\/(-3*sqrt(2))) - (-1 + sqrt(1452) + -1 + 2))**2.\nAnswer: 1368*sqrt(3) + 4656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + -1 + (-398)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.75 + -0.25. Let i = -1.2 - j. What is i rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 e, and 1 q when three letters picked without replacement from eejkkeqqqjkjjqkqqpej?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + -3 + 0 + (-1)\/(-1). Let h(n) = 14*n**3 + n**2 - 4*n + 2. Is h(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3208 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 54*r**2 + 33*r + 4493. Determine u(56).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39891055 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: What is the ten thousands digit of 94412?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2400.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-37)\/(-3))\/(62\/(-21) - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -49*b**5\/220 - 91*b**4\/44 - 24*b**3\/11 - 10*b**2\/11 + 11*b. Determine p so that o(p) = 0.\nAnswer: -5, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 + 65. Let n = -8.99999807 - a. Round n to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11661540 and 660?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, l: 4}. Give prob of picking 1 y and 1 l.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -1\/58, 423488 in decreasing order.\nAnswer: 423488, -1\/58, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-18) - (-1475)\/15. Factor 364*j**2 - 736*j**2 + 345*j**2 - 120*j**4 + n*j**3 + 48*j**5.\nAnswer: 3*j**2*(j - 1)*(4*j - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p = -p + 96 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12000, -11973, -11886, -11709, -11412?\n\"Answer: 5*f**3 - 8*f - 11997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20.3 - -20. Let q be (-6)\/3 - 24\/(-13). Which is the second biggest value? (a) p (b) q (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by 1.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55927896 is divided by 1084.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*sqrt(272))**2.\nAnswer: 27200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-8 + 6 + -4 + -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 3) + 8 - (12 + -12)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * 0.53637.\nAnswer: -6.43644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 400.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/3 + 139*k**2\/3 - 568*k\/3 + 572\/3.\nAnswer: (k - 2)**2*(k + 143)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6095076704.\nAnswer: 2, 190471147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 - -71.9. Put 2, 1, z in descending order.\nAnswer: 2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 0*d**2 + 0 + 4*d**4 + 1\/2*d**5 + 0*d - 9\/2*d**3 = 0?\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-1*sqrt(2800) - sqrt(2800))*-2*2)\/((sqrt(2352) + sqrt(2352)*2 + sqrt(2352) - sqrt(2352) - sqrt(48))\/(sqrt(48)\/(sqrt(4) - 2*sqrt(4)))).\nAnswer: -4*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1649*z + 16436. Determine t(-10).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(204)*-1 - sqrt(204)))\/(-1*sqrt(192)) + (sqrt(833) + 3)**2 + 4 + sqrt(1088) + sqrt(17).\nAnswer: 97*sqrt(17)\/2 + 846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - c**2 - 2*c + (-c + 4*c - 5*c)*(0*c + 4*c - 2*c) - c**2 + 3*c**2 - 4*c**2 + 0 + 3*c**2 + 0 + c**2 - 4*c + 4*c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 510 = 2*k, k + 3*k = 5*z + 1002. Suppose -5*h = -4*m - 332, -m + 0*m + k = 4*h. Let a = h - -153. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -86, 3, -4990 in ascending order.\nAnswer: -4990, -86, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 4*z**5\/5 - 7*z**4\/2 + 6*z**3 - 5*z**2 + 2*z - 7. Solve t(f) = 0 for f.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18.1 - -18. What is the closest to 0.1 in x, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(275) + 3)*-2 + -4)**2 - (sqrt(275)*1 + -3 + -4 + sqrt(275)*1)**2.\nAnswer: 147 + 420*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**6\/8 - 5*w**5\/12 - w**2. Let m be 33\/12 + 29295\/620. Let g(a) = 2*a**3 - 3*a**2. Calculate m*g(r) - 6*k(r).\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 6*q - 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.48 and 0.2?\nAnswer: -0.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -2\/5 (c) 5 (d) -6\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8721509, -8721503, -8721497, -8721491, -8721485, -8721479?\n\"Answer: 6*v - 8721515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107530 = -95*l + 105*l. List the prime factors of l.\nAnswer: 10753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85993801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 14*q**3 - 3*q**2 - 3*q - 11. Let s(y) = 5*y**3 - y**2 - y - 4. Calculate 11*s(u) - 4*x(u).\nAnswer: -u**3 + u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, 21, 47, 83, 129?\n\"Answer: 5*f**2 + f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.296583 to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29.7 + -37.7. Let a = l + 8.3. Put -0.1, a, -5, 3\/5 in decreasing order.\nAnswer: 3\/5, a, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-450)\/240*(-1)\/(-6)*2\/1.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**2 + 2*c**2 + c**2 + (7*c + 12*c - 17*c + 2)*(3*c + 1 - 4 - 5*c))*(-5 + 2 + 0)*(-11*c + 2*c + 7*c).\nAnswer: -36*c**3 - 60*c**2 - 36*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 100 (b) -1\/2 (c) -0.929 (d) 12 (e) 0.5 (f) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(684) + 2 + sqrt(684))**2 + -2 + sqrt(19) + 1*sqrt(19) - ((sqrt(19) - (sqrt(76) + sqrt(76) + -4 - sqrt(76))) + 2)).\nAnswer: 51*sqrt(19) + 2735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*n - 7*n - 24. Suppose -n*l = -2*v - 3*l + 142, 4*v - 3*l = 272. What are the prime factors of v?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-8) - (18\/(-16) + 2)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 0*s**3 + 3*s**3 + 2*s**3)*(9*s - 4 + 4).\nAnswer: 45*s**4 + 18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 - 142. Let c = w + 124. List the prime factors of c.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 + 2*t**4 - 5*t**3 + 2*t**2 - 5*t**2 + 2 to the form q*t**3 + c*t**2 + u + b*t + j*t**4 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22232846 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - r + 268 - 187, 3*c - 231 = -5*r. What is the greatest common factor of 5133 and c?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 9*s + 34 - 16.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 79?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 342 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 4*z - 5*z)*(1053*z**2 + 3158*z**2 + 2176*z**2 + 396*z**2 - 757*z**2).\nAnswer: -12052*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1179859274 is divided by 1072.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*2 + 1 + 3*1*sqrt(128) - -5*(-2 + sqrt(128) + 5))**2*1.\nAnswer: 2560*sqrt(2) + 13056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/6768 - -151\/67680. Let l(m) be the third derivative of -k*m**6 + 1\/24*m**4 + 37*m**2 - 1\/120*m**5 + 0*m + 0 + 1\/3*m**3. Factor l(s).\nAnswer: -(s - 2)*(s + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-156))\/((-4725)\/657845). Let d = 4\/1755 + v. Which is smaller: 6 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + -25. Let s = 64.4 + t. Which is the nearest to -0.1? (a) -2\/11 (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b\/((b**(2\/11)\/b)\/b))\/b))*b**(-2\/23))\/(b*b*b**(3\/2))**(-15) assuming b is positive.\nAnswer: b**(27441\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 + 884*l\/3 - 54201.\nAnswer: -(l - 623)*(l - 261)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29015, 58026, 87035, 116042?\nAnswer: 145047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -1, -4, -96 in ascending order.\nAnswer: -96, -24, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a - 2 + 52. Suppose a*f = f + 3548. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9553364831 rounded to 1 decimal place?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-5))\/(193\/(-1930)). Let l = -2 + 2. Sort i, l, -4 in decreasing order.\nAnswer: i, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 1389*i**5\/20 - i**3\/6 - 57*i**2\/2 - 2181*i. Differentiate p(c) with respect to c.\nAnswer: 4167*c**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1026998 = -71*k + 85*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.01, 196\/15 in decreasing order.\nAnswer: 196\/15, 0.01, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/19)\/g*g\/(g**10\/g*g))\/(g**(2\/3))**(-1\/65) assuming g is positive.\nAnswer: g**(-37207\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -44323466 divided by -418\nAnswer: 106037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -5 - (-9 + 10 + -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451155 is divided by 131.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d - 2. Let o(j) be the second derivative of 0 + 5\/6*j**3 - j**2 + 16*j. Suppose -9 = -w + 2*p, -4*p + 1 = 2*w + 7. What is w*l(v) - 2*o(v)?\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*t**2 + 20 - 5 - 357*t - 137*t**2 - 13.\nAnswer: -33*t**2 - 357*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.51510081 to four dps.\nAnswer: 2.5151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1412 (base 5) in base 2?\nAnswer: 11101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-3)\/(-3)*232*(-8)\/128.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (1 + (5 - 8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5580 and 3627.\nAnswer: 72540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 27217*g + 1. Let m(b) = -6886*b. Calculate v(m(x)).\nAnswer: -187416262*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42351954163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 4\/7 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(54) + sqrt(5400) + sqrt(5400)*2)\/((sqrt(10)*-3)\/sqrt(5)) + 4))**2.\nAnswer: -8928*sqrt(3) + 104364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3213*c + 142650 = -6297*c for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpa when three letters picked without replacement from ooaaaapaaapiooocaa?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 44 = 10. Does 34 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -16*s**2. Suppose -4 = u - 32. Suppose 35*k - 7 = u*k. Give v(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 3 - 3)*(2 - 3 + 4).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7078 (base 16) to base 9\nAnswer: -43441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**2 + 2*g**3 + 2*g**4 - 5*g**2 + (1 - 2*g**2 - 1)*(2*g**2 - 2*g**2 + g**2) - g**3 + g**4 + g**3 + 0*g**2 + 0*g**2 - 2*g**4.\nAnswer: -g**4 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -637.9*9339\nAnswer: -5957348.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -144*v**2 - 41*v + 78. Calculate q(2).\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/42 and 41\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 9. Let l = 17 - f. Suppose -l*a = -2*a. Solve q - 2 = -a*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 8:20 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6356838 or 27?\nAnswer: 6356838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57195 = -55*c + 1277984 - 253164. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -73, -111, -165, -235, -321?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-37 + 40)*(-1 - -3)\/(-2). Put o, 0, 8 in increasing order.\nAnswer: o, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + r**2 - 5 + 5 + 10. What is the smallest common multiple of j(0) and -9*((-2)\/2 + -1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 13327310*u.\nAnswer: -5*u*(u - 2665462)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51 + -678.\nAnswer: -729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(8)\/sqrt(4) + sqrt(12)\/(2*sqrt(6)).\nAnswer: -3 + 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*v + 4*f - 119, 2*f = 10. Let g = v - 27. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3143 and 245671.43768.\nAnswer: 248814.43768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -46 (b) -0.2 (c) -3\/2 (d) -4 (e) 1 (f) -2\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 31*j + 1. Let m be x(1). Suppose -160 = -3*u + m. Suppose u = -0*b + b. What is the highest common factor of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 31*a + 93. Calculate b(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 130*l - 166*l**2 + 77*l**2 + 84*l**2 + 135.\nAnswer: -5*(l - 27)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2333 - -25661\/11. Let u be (-20)\/(-8) - (0 + 2). What is the second biggest value in m, -1\/4, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j. Let i(h) = 2*h**2 + 0*h**2 + 22*h**2. What is b(i(o))?\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 18*u**2 - 16*u + 39. Is h(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 5:33 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, -93, 0.3, -5\/42, -2\/5.\nAnswer: -93, -2\/5, -5\/42, 0.3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 143068 divided by 35767\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85*-2*(-1460)\/(-2920).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2170\/77 + 2\/(-11). Let i = -74 + 78. What is the highest common factor of d and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -643*j**4 - 1366.\nAnswer: -2572*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -18. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.6 + 1.1. Let y = -0.062 + -1.938. Let l = d - y. Which is the third smallest value? (a) l (b) 6 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(4\/3)*24\/6. Suppose 0 = u + 5*a + 18 - 8, -2*u - y*a - 13 = 0. Let h be 4\/u*45\/(-6). Solve -2*k + 2*z = 0, 3 + h = 2*k + z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j + 4*j + 4*j + (-2 + 0 + 4 + (-3 - 3 + 5)*(3 - 2 + 0))*(2*j + 0*j - j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 193\/7410 and 13\/32300?\nAnswer: 1259700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8467?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -10, 1, -3, -5, -4 in descending order.\nAnswer: 1, -3, -4, -5, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) 1.18 (b) 2\/7 (c) -4 (d) 3 (e) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-106*7\/49)\/((-8)\/(-14))*(-88)\/(-44).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/8*1034 - (-4)\/(-16). Let s = b + -36. What are the prime factors of s?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 11) to base 9\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -642\/7 - -92. Let z = 29 + -34. Which is the biggest value? (a) 5\/2 (b) z (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/9391728 and -53\/115.\nAnswer: 46958640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 185768 - 0.15.\nAnswer: 185767.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-104)\/(-20) - 5)\/((-4)\/(-80)*6). Suppose 0*g + 2\/3*g**3 - 2\/3*g**4 + 0 - l*g**5 + 2\/3*g**2 = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6182 + -1636. Suppose v + 1362 = 14*x. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yayaaa. Give prob of sequence yaaa.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/5)\/((-6)\/(-15)). Suppose 1 - 7 = -2*s, -17 = v*c - 5*s. Let t(y) = -2*y + 1. Let i(r) = r. Determine c*t(f) - 6*i(f).\nAnswer: -4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 1254*t**2 + 2*t. Let u(z) = 4*z + 1. Determine p(u(x)).\nAnswer: 20064*x**2 + 10040*x + 1256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 14*f**2 + 18*f + 10. Let q be n(-12). Let r = 12 + 12. Let t = q - r. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 1911*w**3\/2 - 1509*w + 2. Let z(s) = 2*s. Determine c(z(r)).\nAnswer: 11466*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -37. Let t = -14 - z. Let g = 7 + t. Which is the smallest value? (a) -2\/11 (b) 0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 44279, 88584, 132889, 177194, 221499?\n\"Answer: 44305*x - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (19 - 15))*24\/(-20)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -96.17 + 95. Let w = c - -0.999. Let z = w - -0.16. Round z to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 5 = 2*u, 0*u + 2*u = u - 3*v - 14 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 30. Let s(h) = -6*h + h + 4*h + 2*h. What is s(a(d))?\nAnswer: 2*d**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, -0.5, -8, -13, -3\/2, -9485?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 174\/(-812)*8\/(-12)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2597 (b) -3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/17 + 146*u**3\/17 + 144*u**2\/17.\nAnswer: 2*u**2*(u + 1)*(u + 72)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 693\/(-378) + 616\/48.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15473*w**2 + 10*w - 1 + 0 + 33*w + 15471*w**2 to the form v + f*w**2 + d*w and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 j when two letters picked without replacement from ujuussjrsjjjjssjjs?\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2082)\/327568*32\/(-6).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -1\/8 (c) -4 (d) 0.02 (e) 2\/45 (f) -1\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d**(3\/4)\/d)\/d)**(-2\/67)\/(d**(-16)\/d*d*d*d**(2\/17)) assuming d is positive.\nAnswer: d**(33919\/2278)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, g: 6, l: 1, m: 1, o: 3, r: 1}. What is prob of picking 1 l, 1 r, 1 m, and 1 g?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-3) + 8\/6. Suppose o = -8*w + 78 - 6. Suppose 40 = -2*a + 6*a. What is the least common multiple of a and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**5\/k*k*k\/(k\/(k\/k**(-2\/3)))*k*k)**(2\/17)*(k\/(k**(-1\/9)\/k)*k**2)**(-1\/23) assuming k is positive.\nAnswer: k**(3787\/3519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 7.1. What is t rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9617, 288, 5, -4, 1.\nAnswer: -4, 0, 1, 5, 288, 9617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 206540604 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -180 + 184. Let n(g) be the second derivative of 0*g**t + 1\/10*g**5 + 0 + 3*g + 0*g**3 + 1\/2*g**2. What is the derivative of n(b) wrt b?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35751\/11, 0.029, -1 in descending order.\nAnswer: 0.029, -1, -35751\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 - 1 + 1 + 14 + 4 + (-3 + 5 - 1)*(-1 + 2 - 3) + 0 + 1 + 1)*(3*h - 2*h + h).\nAnswer: 26*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1850002354 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 - -0.05. Let t = 0.43 - 0.23. What is the third biggest value in -2\/3, t, q?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1319*w - 335 - 5*w + 667 - 332 to the form u*w + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 42992347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -0.2. Suppose 2*l - 17 = -5*r, -3*l + 3 = -14*r + 17*r. Let n be (-70)\/(-12) - r - 2\/6. Which is the closest to f? (a) 1\/8 (b) -2\/13 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6684 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4)*v*((v\/(v*v**1))\/v)\/v)\/((((v*v\/v**6)\/v)\/v)\/(v\/(v\/(v*v\/(v\/v**(-4)))))))\/((v**(-1\/3))**(-33))**(-29) assuming v is positive.\nAnswer: v**316","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, v: 13, c: 1}. Give prob of picking 3 v.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.191*-3.\nAnswer: -3.573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 3*a. Let f be (0 - (a - -2))\/(-2). Let z = -3 - f. Let o(q) = q**3 + 4*q**2 - 1. Calculate o(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppdr when four letters picked without replacement from drprbbkbbkppkrrp?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-21)*(-6)\/16\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 6*p**2 - 2*p - 10. Let o be q(5). Suppose -4*y + o*y - 12 = 0. Let f(u) = -u + 22. Let d be f(y). Solve 4*w = 2*w - d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**2 - w**2 - w**2 - w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26431993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 9312*x - 102311.\nAnswer: -(x + 11)*(x + 9301)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 16) to base 15.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -1)\/(-10 - (-8091)\/809). What is f rounded to the nearest 10?\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -3. Let d = a - -2. Suppose 2*h - 5*o = -d, -4*h + 0*o - 4*o = -24. Solve h*k - 17 = -w, k + 6 = -2*k + 3*w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by 1\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.029311ng to micrograms.\nAnswer: 0.009029311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42975*v - v**3 + 3*v**3 + 104433*v.\nAnswer: 2*v**3 + 147408*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-12))\/(3\/9). Let z(w) = -2*w**2 - 3*w - 2. Determine z(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -5 + 6 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -1\/180*c**6 + 0*c**2 + 5\/3*c**3 + 0*c - 4 + 0*c**5 + 1\/12*c**4. Let r(g) be the third derivative of q(g). Factor r(v).\nAnswer: -2*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, g: 1, y: 4, f: 2, v: 3}. Give prob of sequence of.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*n + 2*n + 1664 + 544 = 0 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/24)\/(29\/116)*(-51)\/(-442).\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -17*l. Let y(w) be the first derivative of -9*w**2\/2 - 24. What is y(h(s))?\nAnswer: 153*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*k**2 + 13*k**2 + 12*k**2)*(1 + 1 - 5 + (3 - 4 + 3)*(-2 - 2 + 5)) - k**2 + 2 - 2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.131*47\nAnswer: -6.157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4262416718 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 5*t = -5, 2*u - 5*t = 46 - 56 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 10*c**2 - 239*c + 11. What is w(-21)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 423483883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5+-0.0631219058\nAnswer: 4.9368780942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -14*q**3 + 3*q**2 + 5*q + 6. Let l be r(-4). Round l to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 484816951 to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19965 a multiple of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 242580, 485158, 727736, 970314, 1212892, 1455470?\n\"Answer: 242578*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748 is divided by 34.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.3032*-2.\nAnswer: -6.6064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-81)\/648)\/((-30)\/(-16))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46837, -187496, -421983, -750298, -1172441?\nAnswer: -1688412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 2*d - 8*d + 3*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhlcchcahchclhcl. Give prob of sequence acl.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.18 in -0.5, -2\/11, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 33*i**2 - 4*i - 288. Let w(d) = -34*d**2 + 6*d + 288. Let g(p) = 3*b(p) + 2*w(p). Differentiate g(a) with respect to a.\nAnswer: 62*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 160 + -240. Let f = 53 - l. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 242, 1, 22, -0.3, -3, 2\/39 in decreasing order.\nAnswer: 242, 22, 1, 2\/39, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -31706, -128677, -290912, -518411?\n\"Answer: -32632*b**2 + 925*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 7*c + 68 = -3*c, 3*c - 91 = -5*z. Calculate the lowest common multiple of 24 and z.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*q - 7. Find the second derivative of -3*r - 2*r + r + q*r**4 - 8*r**4 wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (180\/270)\/((-2)\/(-9)). Solve -3*d = 4*h - 19, -2*h - q = -d - 0*h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 + 3*a**2 + 0*a**2 - 2*a**2 - 17*a + 17*a + (3*a**2 - 6*a**2 - 77*a**2)*(-1 + 6 - 4) in the form u*a**2 + k + m*a and give u.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -8*c + 8253. Let t = c + -650. What is the remainder when t is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + ((-846)\/(-376))\/(45\/276).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 705?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l - 4*l**2 - 17*l**4 - 2*l - 190*l**3 + 191*l**3 as d*l**4 + f*l + o*l**3 + w*l**2 + z and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-1)\/((18 + -8)\/(-10))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 5 + -6 - 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -9*t - 3*g - 393, -5*g = -2*t + 387. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, -3, -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-99 - -115) + (-1 - (-2 + 182)) + 9\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 165\/22*38\/57. Sort 4, p, 648, -3.\nAnswer: -3, 4, p, 648","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*f - 199, 2*h - f = -155 + 19. Let n = 71 + h. Let l(t) = 4*t. Let j(s) = -s. Calculate n*l(m) + 10*j(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/((-135)\/(-10)))\/((-2)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 93, 318, 673, 1140, 1701, 2338?\n\"Answer: -3*d**3 + 83*d**2 - 3*d + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6*d - 29. Let c(w) = 7*w - 30. Let u(l) = -4*c(l) + 5*f(l). Let s be u(15). What is the third derivative of 0*z**2 - s*z**6 + 12*z**6 - z**2 wrt z?\nAnswer: 840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362367 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 169.74 + -172.74. Which is the nearest to -0.41? (a) 0.1 (b) n (c) -4\/7 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -5*r + 6, 1759*r - 1757*r + 2 = 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 3:33 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/3 - 6394*s\/3 - 10220809\/3.\nAnswer: -(s + 3197)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -3 - (4 - -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51.14 - -46.14. Suppose 20 = -4*b - b. What is the second smallest value in 1, r, b, 6\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2832 + 2835. Sort 1\/3, w, -0.872 in decreasing order.\nAnswer: w, 1\/3, -0.872","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -6 + 0 + 15*i - 7*i**2 - 2*i**2 = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13596747789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 16*n**2 + 16069*n + 209395. Give o(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c\/((c\/((c*c**23\/c)\/c))\/c))*c**(3\/20)*((c\/c**(-18\/7)*c)\/c*c)\/(c\/(c\/c**(-1))) assuming c is positive.\nAnswer: c**(-2139\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -4, 102, 0, 2, -3 in ascending order.\nAnswer: -22, -4, -3, 0, 2, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkkm when four letters picked without replacement from {k: 7, m: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 3, -12, -0.1 in increasing order.\nAnswer: -12, -0.3, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1058605, -1058604, -1058603, -1058602, -1058601?\n\"Answer: x - 1058606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/4043 >= 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 3. What is the greatest common factor of 80 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*t - 6*t - 2*t**4 - t**3 + (t**4 + 0*t**4 - 4*t**4)*(-4 + 1 + 5) - 7606 + 404*t**4 + 7606.\nAnswer: 396*t**4 - t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 24984*p**2 + 5 - 47*p**4 - 24985*p**2 to the form r*p**2 + d*p**4 + a*p + n + m*p**3 and give d.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 58*w + 2327. What is the units digit of y(42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 0*s**2 - s**2)*((-53*s + 2 - 2)*(0*s + 0*s + s) + (0 - 2*s + 0)*(0 + 0 - s)).\nAnswer: 102*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161460261?\nAnswer: 3, 593, 30253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1169353\/20825 + -2807\/50. Calculate the common denominator of u and -1\/49.\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3393, 3395, 3397?\n\"Answer: 2*n + 3391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 330 - -1530?\nAnswer: 1860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 111709 and 51558.\nAnswer: 670254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1872 and -0.3.\nAnswer: -561.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -46*(-654)\/8*2. Suppose 2*o - o - 5*a = 1313, -a = 2*o - 2670. Suppose h + 3*i = -o + c, -4*i - 24816 = -4*h. Round h to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.015 - 0.185. What is the nearest to -1\/2 in o, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/21)\/((-1)\/(-3)). Which is smaller: v or 4\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, v: 1, p: 1, d: 4, n: 2}. What is prob of sequence ve?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 4*f**2 + 6*f + 14. What is the units digit of v(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 10*i. Let u = 5 - -2. Let f(j) be the first derivative of j**2 + 4 - u - 8 + 0. Determine z(f(r)).\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*z + 0*z - 24 = 0, 2*h - 2*z = -24. Let v be h\/21 - (-984)\/56. Solve -10 = -t + 4*o, -v = t - 0*o + 5*o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1552*i + 2*b = 1553*i + 10, -3*i = -5*b + 26 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9677130 is divided by 5489.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -z - 0*z. Let p = -53 + 49. Let n = p - z. Sort 3, -4, n.\nAnswer: -4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 13886. Let z(p) = -3*p**2. Give t(z(v)).\nAnswer: -3*v**2 - 13886","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6578 = 1320*r - 38258 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*l*o + 139*l*y**2 - 7*l*y + 70*o*y - 242*y**2 with respect to l.\nAnswer: 34*o + 139*y**2 - 7*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32994 by 1222.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2. Let o be i(2). Solve 0 = o*c + 5 - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2340867.6 nanoseconds in hours?\nAnswer: 0.000000650241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -12 - (2 - (-1 + 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 2*a**5\/15 - 187*a**4\/12 + 651*a**3 - 62465*a**2\/6 + 29791*a\/3 + 79. Factor x(m).\nAnswer: (m - 31)**3*(2*m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (100 - (109 + -59))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 543*k - 73*k + 289*k + 632*k - 328*k.\nAnswer: 1063*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n + 3. Let p be -1 - (-1 + (-1 - -1)). Let c(d) = -2 + p*d + 3 + d. Let q be 2\/(-5) + 18\/(-5). Calculate q*c(i) + l(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 5*g + 7 - 4, 3*g + 54 = 5*r. Let x be (-33)\/((r\/(-2))\/3). Calculate the greatest common factor of x and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85423 is divided by 3714.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (-58 - -36)) + (-5 - 0) - 51.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 7 + 4 + -26\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 5*l + 3. List the prime factors of b(6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2\/3 (b) 52 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6649 - 3431 = -72*i. What is the highest common factor of i and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**7\/2520 - 11*b**6\/720 + b**5\/20 - b**4\/3 + 22*b**2. Let u(x) be the second derivative of g(x). What is u(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*i = 11, -4*i = 3*c + 12 + 6. Suppose 589 + 416 = 15*u. What is the remainder when u is divided by 3 + 19 - 2\/c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 6*g - 9. What is b(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*q - 2*q. Suppose q + 3 = 5*g. What is the lowest common multiple of 10 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 168.858 + -1.258. Let b = -199.6 + p. Let v = 0.3 - 0.2. Which is smaller: b or v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 0 + 19*d + 0*d**3 - 1\/18*d**6 + 1\/6*d**5 - 5\/36*d**4 + 0*d**2. Factor l(p).\nAnswer: -5*p**2*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 140*b**2 + 27*b - 17. Is i(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -129*i**2 - 41*i + 35. Let v(l) = 43*l**2 + 15*l - 12. What is 4*m(h) + 11*v(h)?\nAnswer: -43*h**2 + h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3269186 to the nearest integer?\nAnswer: 1808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3545595 and 4230.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*n - 34*n - 19 - 2 - 43*n - 13*n to the form w + x*n and give x.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 21*t - 251. What is i(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 564248, 2256889, 5077956, 9027449, 14105368?\nAnswer: 20311713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (312 - (-85)\/(-17)) + 6. Solve -l*u + 332*u - 57 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + b - 3*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -160655 + 357354. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + y + 2*y)*(2*y**3 - 2*y**3 + 2*y**3) + (-2*y - 2 + 2)*(0*y**3 + 0*y**3 - 4*y**3) + (-y - y + 0*y)*(-2 - y**3 + 2).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100 - -1062. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xni when three letters picked without replacement from innixniyywn?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 25*1 + (17 - 15). Let x = q + -19. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89616, 89588, 89560, 89532, 89504?\nAnswer: 89476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.878087987 rounded to 3 decimal places?\nAnswer: 4.878","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/(-6) + -4)\/(743 + -744).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -1\/33*d**4 + 4 + 1\/33*d**3 + 0*d**2 - 4*d + 1\/110*d**5. Let h(m) be the first derivative of s(m). Find l such that h(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 13*f - 14. Give l(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b - 5*q - 10 = -11*b, 8 = 4*b - 4*q. Let c = -0.575 + -0.015. Is b at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 16114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 74735917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 8*p - 45. Suppose 4*k = z - 1 - 22, k + p*z - 10 = 0. Which is the nearest to -2\/5? (a) -0.1 (b) k (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/5 - 4142*a**2\/5 - 16592*a\/5 - 3320.\nAnswer: 2*(a - 2075)*(a + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**4\/12 + 43*z. Let b(a) = -2 - a + 2. Calculate o(b(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/42 and 115\/3088092.\nAnswer: 3088092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*-5*((-1*sqrt(1700))**2 + sqrt(1700)) - -2*(((-1 + sqrt(1700))*2)**2 + sqrt(1700)))*3.\nAnswer: -86677 - 1170*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = -2*b + 56 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*h = 1237 - 4193 - 988 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -244000 to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*v, -2*q - 12*v + 13 = -7*v. Calculate the remainder when 851 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 45065 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 175891687?\nAnswer: 175891687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 50893017386 and -5.\nAnswer: 50893017381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -946*k**3 + 77*k**2 - 77. Suppose 0 = -2*w - 3*b + 4, -1751 + 1770 = 5*w + 3*b. Let q(t) = 61*t**3 - 5*t**2 + 5. Determine w*l(c) + 77*q(c).\nAnswer: -33*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -31dccc?\nAnswer: 31dcce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, l: 8, s: 4}. Give prob of sequence sl.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5652 is divided by 67?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gvnnnvgyvvcv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13\/7 + 89\/63. What is the nearest to 2\/3 in -1\/3, k, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -16, -24, -26, -16?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 4*x + 29. Let z be (46 - 6)*(-232)\/x. Is z\/(-28) + (-1)\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/12 + 15*11\/(-198)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -24083*r - 274. Let n be h(-1). Calculate the highest common divisor of 29 and n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 69 = 6*v + 5*m, -30 = v + 2*m. Let g = v - -12. Let y(o) = -o + 37. What are the prime factors of y(g)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**5 + j**4 - j**2 + j. Let m(w) = w**5 - 33*w**4 - 52*w**3 + w**2 + 51*w + 32. Let l(n) = m(n) + 5*s(n). Determine g so that l(g) = 0.\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548488 is divided by 109695.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by (-3135)\/(-38)*(-4)\/(-10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14\/(-245) - 27835\/(-175)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 8:28 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 52, 48, 44, 40?\n\"Answer: -4*u + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -2413*k**5\/20 - 1077*k**3\/2 - 6*k + 113. Find the second derivative of i(r) wrt r.\nAnswer: -14478*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(13) + (sqrt(13)*2)**2 + (sqrt(117) + sqrt(13))*-2 + (sqrt(13)*-2*6)**2*1.\nAnswer: -7*sqrt(13) + 1923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 37 = 5*d + 14, -4*d = o - 24. Let n be 290 + (0 + 2)\/(-1). Calculate the greatest common factor of n and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 2:03 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115494308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 643619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1240 - 0?\nAnswer: -1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**5\/2 + 2346*y**4 + 2348*y**3 - 7039*y**2 - 4695*y\/2 + 4693 = 0?\nAnswer: -2, -1, 1, 4693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2427 is divided by 604?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -3*u**5\/10 + 29*u**4\/8 - 7*u**3 + 4*u**2 + 56. Factor n(l).\nAnswer: -l*(l - 8)*(l - 1)*(3*l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (30\/39)\/(4 + (-10)\/3). Is n at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16620137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 3, s: 1, r: 6, k: 1}. What is prob of sequence nu?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**4 + 7*c**3 + 9*c**2 + 3*c - 3. Let h(b) = b**3 + b**2 + b. Let i(d) = 5*h(d) - z(d). Factor i(q).\nAnswer: (q - 3)*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -567*h + 582*h - 2952*h**2 + 1476*h**2 + 1471*h**2.\nAnswer: -5*h**2 + 15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3*1*1)\/((-588)\/56)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 2 - 4) + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 157 - 154. Let c = 5 - 5. Factor w - 4*w**3 + c*w**l - w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 3*i, 41*i - 15*i - 8*i = -12*q + 10*i + 4*i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 - 514455775 - 2*n**3 + n**3 + 514455779.\nAnswer: n**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228566 divided by -2.\nAnswer: 114283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + m + 3 + 68571*m**3 - 68646*m**3 + 2*m**2 to the form v*m + w + i*m**2 + d*m**3 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -751 + 1831. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + (sqrt(832)*-2)**2*1) - (4*(6*(sqrt(832) - (-1 + sqrt(832))) + sqrt(832) + 3))**2) + 5.\nAnswer: -31248 - 2304*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 20*k**2 + 3*k - 3. Let w(o) = -799*o**2 - 119*o + 119. Calculate 119*n(c) + 3*w(c).\nAnswer: -17*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*x = -179, -154 = 3*y + x - 51. Let p = y - -49. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 566262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 j when two letters picked without replacement from {y: 1, f: 2, j: 9, a: 4, z: 4}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3419076071 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -952.45 - -907. Let g = -3974 - -3927. Let r = x - g. What is r rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/(-2) + 2\/(-4). Suppose f*o - 5*u = 0, -3*o = -0*o + 5*u. Factor o*a + 6*a + 4*a**2 - 2*a + a**3.\nAnswer: a*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 16*j - 11*j - 12, 5*j - 9 = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -11\/3, 4\/7, -0.2, -567, 2\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 2*v + 74, -54 = -0*d - 3*d - 3*v. Solve -2 = 4*a - 4*q + d, -12 = 5*a + 4*q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-4)\/(-14)*(-84)\/54?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1001*l + 1001*l - 352*l**2 to y + g*l + b*l**2 and give b.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8489 is divided by 2813.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 126?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -14*u**2 + u. Suppose 5*v + 195 = 8*v. Let l = 64 - v. Determine y(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2578 = -517*v + u, -63*v + 64*v - 2*u - 6*u + 16 = -5*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*p + 3300 = 58*p. Does 25 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17229, 17228, 17227, 17226, 17225?\n\"Answer: -w + 17230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 - 2*t. Let k(c) = -61*c**2 - 8*c + 18 - 12*c + 18*c**2 + 21*c**2. Let v(r) = -k(r) + 10*s(r). Solve v(f) = 0 for f.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -303 + 250. Let n = -46.36 + -0.04. Let m = x - n. Round m to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -19384 (b) -2 (c) -2\/11 (d) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5208, -4, 0 in descending order.\nAnswer: 0, -4, -5208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnnnzpnnpnnnpnfzf. Give prob of sequence fzp.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38521571783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 120995 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/7 (b) -1\/3 (c) -11 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 1050 + 153 = 0. Suppose 3*j = 2*x + 8*j - h, 0 = 2*x + 2*j - 66. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/(-12) - 0)\/3. Which is greater: p or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**3 + 2*n**2 - n. Let q be r(1). Suppose 2*o - o - 10 = 0. Solve 4*b = 5*j + 25, b - 5*j + o = q*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8531*z**3 - 2*z**2 - 723*z - 5 wrt z.\nAnswer: 51186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1707 is divided by 850.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.14189 + 0.14189. Which is the nearest to 0.1? (a) 0.6 (b) 2\/63 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5180 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -41. Suppose a*z = -2711107 + 45911107. Suppose p = 3*p - z. What is p rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/9 and -157\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 257741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(1\/4)))\/o*o)**(-46)\/(o\/(o*o*o*o\/(o*(o*o\/o**4)\/o))*o**(4\/7)\/o))\/((o**(-6)*o*o**3)\/((o\/o**(1\/2)*o)\/o)**35) assuming o is positive.\nAnswer: o**(255\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14463, -14482, -14501, -14520, -14539?\n\"Answer: -19*d - 14444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(4) + -3 + sqrt(7)*2)*-2.\nAnswer: -8*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2098061699 rounded to two dps?\nAnswer: 1.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, -360 in decreasing order.\nAnswer: 7, -4, -360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(-6) + 2)*4. Factor -4\/11 - 6\/11*u - 2\/11*u**c.\nAnswer: -2*(u + 1)*(u + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 791 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (15 + -5 - (3 + 4 + 3))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - 0.3. Let f = -66 - -27. Let d = f - -39.1. Which is the nearest to -2\/5? (a) p (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 - -4. Suppose d = -4, 3*d + g = 5*o - d. Suppose -7*n + 5 + o = 0. Solve -n*x = x + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69.9 - 67. Round s to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) - (sqrt(605) + -6*(sqrt(605) + (sqrt(605)*-1)**2))) + -4.\nAnswer: 66*sqrt(5) + 3626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83992 and 17988.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 3*r**2\/2 - 18*r + 19. Let z be k(9). Find the second derivative of -2*l - 2*l**2 - l**2 - z*l wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -187640412?\nAnswer: -562921236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 5*l = 17, 65*l = 3*i + 60*l + 31 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 824988 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 117\/5 (b) -3\/3500 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**2 - 9*o**2 + 0*o**2 + (-2*o + 1 + 3 + 5)*(33*o - 10*o + 23*o) as d + r*o + i*o**2 and give r.\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 7 = 3*i - i, -4*i - 7 = -5*v. Suppose -3*b - 12 = -v. Let h be (10\/b)\/((-2)\/3). Solve -2*y - 12 = -h*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*q = -7, 3*q - 11 = 2*z + 3*z. Let i be z\/18 + (-76)\/(-18). Suppose -v - i*v + 395 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 11:39 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1818 is divided by 45.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**2*w**2 - 3*s**2 + 29*w**2 - 26 with respect to w.\nAnswer: 2*s**2*w + 58*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -50476.5 (b) 1 (c) 4 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*o - 2*o - 10 + 61*o wrt o.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + -3)*1\/5*5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(1*sqrt(12)\/sqrt(4) + sqrt(3)) + 5 + (sqrt(117)*2 + -5)**2*-2.\nAnswer: -981 + 241*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -251 and -170343 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 5*o**2 + 4*o + 3. Let d be y(5). Suppose -4*i - d = 17. Round i to zero decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b. Let j(q) = 34830*q**2 + 3*q. Determine p(j(o)).\nAnswer: 69660*o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1178, -4, -694, -1.\nAnswer: -694, -4, -1, 1178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -17, -5 in descending order.\nAnswer: -1, -3, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*p + 43, 3*p = -2*w - 0*w + 28. Let x(q) = q**3 - 5*q**2 + q + 8. What is the remainder when x(6) is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1694966 by -6097.\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/22 and -34\/6117.\nAnswer: 134574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**2 + 2*w**2 - 3*w**2. Let h(f) = -f**2. Suppose x = -0*b - 3*b + 5, 2*b + 4*x = -10. What is b*h(o) + 2*j(o)?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from {f: 4, t: 3, a: 4}?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -5*a**2 + 1\/24*a**4 - 2\/3*a**3 + 0 + 1\/20*a**5 + 0*a + 1\/120*a**6. Is g(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6160\/539*(-7)\/2\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468)*-1 + 3)*2 + (sqrt(468) + sqrt(468) + 1 + -2*sqrt(468) - (sqrt(468) - (-2 + sqrt(468))*-4)))*4)**2.\nAnswer: -20160*sqrt(13) + 370512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 10:12 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 0)*(-k + 0*k + 3*k) + (2 - 1 + 0)*(-6*k + 21 - 21) + 7*k - 19 + 19 in the form t + n*k and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 311755 + 311747 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 3*v - 22, -y = -0*y - 3*v - 8. Suppose -42 = -y*g - 12. What is the highest common factor of 18 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**3 + 20*o**2 + o. Let k be r(5). Solve k*v = 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3307 + 3312. Solve 5*a = -4*n + 6 + 9, -s*a + 15 = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4314 - 1507. What are the prime factors of x?\nAnswer: 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38982381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 2502?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o. Let w(f) = 26*f**2 - 2*f - 1. Let s(h) = r(h) + w(h). Let d be s(-1). Suppose 36 = 2*g - d. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*u**2 + 59*d + 7*u**2 - 23*u + 1 wrt u.\nAnswer: 2*d*u + 14*u - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 376243 and 41713.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -60, -113, -162, -207, -248, -285?\n\"Answer: 2*a**2 - 59*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c**2 - 3*c**2 + 14*c**2 - 8*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*(sqrt(55)\/sqrt(405) + sqrt(132)\/(sqrt(300) + sqrt(12)) + sqrt(11))*-4)**2.\nAnswer: 93104\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -35*t - 4. Determine o(-3).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/2 + 3\/4. Let m(x) = -x**2 - 3*x - 2. Suppose -5*v + 5 = 5*r, -3*v + 4*r - 6 = 12. Let k be m(v). Which is greater: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-1))\/(-2)*(-3)\/30*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33673, 33672, 33671, 33670, 33669, 33668?\nAnswer: 33667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1283 = -41*n + 1242 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.94945 take away 37178?\nAnswer: -37171.05055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 + 13.1?\nAnswer: 213.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -203 + 207. What are the prime factors of ((-8)\/12)\/(w\/(-2550))?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.4 - -3. Let t = 1.1 + -1. Let p be 9\/9*1\/(-7). What is the closest to 0 in k, p, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 763, 3.\nAnswer: 0, 3, 763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -77*r - 4680. What is x(-61)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*f = -37*f - 83760. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*4\/20*3*-5. Suppose -5*z + 22 = 4*j, 0 = -3*j + 4*j + 4*z - 11. Sort -5, b, j, 0 in descending order.\nAnswer: j, 0, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 9:26 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3124 divided by -252?\nAnswer: -781\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3198\/5 + 12867\/20. Let l(f) be the first derivative of -12\/5*f**5 - 3*f**2 - 21 + 0*f + y*f**4 + 7*f**3. Factor l(t).\nAnswer: -3*t*(t - 2)*(t + 1)*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -254, -3\/14, 2, -154 in ascending order.\nAnswer: -254, -154, -3\/14, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -7*q - 5*q + 204 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -0*a - 345. Suppose -z + 0*v = -v - 43, 2*v = 3*z - 132. Calculate the greatest common factor of a and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*a**2*g**2 - 3739*a**2*g - 2316*a**2*h - 67062*a*g**2*h + 77*a*g + 3*a - 4*g**2 wrt h.\nAnswer: -2316*a**2 - 67062*a*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 6*q**2 - 181*q - 557. What is the remainder when (-32)\/(0 + (-3 - -2)) is divided by m(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -169 (base 16) to base 14\nAnswer: -1bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/((-16)\/(-8))*(3 - 50\/40)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(104)*-2*5 + sqrt(104) - sqrt(104)) + sqrt(104))*-5)\/((sqrt(96)\/(sqrt(2)*2))\/(-2*sqrt(216))).\nAnswer: 5400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) - ((sqrt(140)*-2 - sqrt(140)) + sqrt(140)))\/sqrt(5))\/(sqrt(48)\/sqrt(48)) + (sqrt(1575) + 0)*-2.\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9572 = -0*t. Let x(u) = -103*u**2 - 2*u + 13. Let p be x(6). Let f = t - p. What is f rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + u + 0 = -6, 4*u - 6 = t. Let s be 0 + (-6)\/(-3) - t. Suppose s*h = -5*h + 575. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 55*y**5 + 1103*y**3\/3 + 18. What is the third derivative of p(j) wrt j?\nAnswer: 6600*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(84) - (1*sqrt(84) - sqrt(84))) + sqrt(84))\/sqrt(12).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -100100111100110 (base 2) in base 16?\nAnswer: -49e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -204 (base 7) to base 4\nAnswer: -1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -177280\/123 = -1440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (17 - 10 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 + 335. What is the remainder when m is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**6\/3 - 24*q**5\/5 - 98*q**4 - 1012*q**3\/3 - 477*q**2 - 308*q + 108. Solve a(m) = 0 for m.\nAnswer: -7, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 10 = -6*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 7 + 4)*(1101 + 701 - 762)*(-6*x + 4*x + 0*x) to the form f*x + t and give f.\nAnswer: -14560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2626.\nAnswer: 2, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, 43, -241, -134?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 7:00 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 5:56 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 38. What is the nearest to j in 5, -1\/18, 1\/3?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 427 - 447. Let y(q) = -q**2 - 36*q + 86. What are the prime factors of y(u)?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -11. What is the remainder when h is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 - -86. Let c(h) = -h**2 - 5*h - 1. Let s be c(-4). Suppose -4*x + 4 = q, s*x = -2*q + 31 - m. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 790175 to the power of 1\/2, to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 190\/(-57)*(-36)\/(-48)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v - 5 - 3 + 0. Let g be b(2). Suppose g = -2*a + 7*a + 5*i - 430, 0 = -4*a - 3*i + 340. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -184*p**4 + 461*p**4 + 232*p**3 - 4 - 278*p**4 + 3 to the form s*p + h + u*p**3 + o*p**4 + q*p**2 and give u.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((s\/s**(-2\/43))\/s)*s\/s**(-5\/6) assuming s is positive.\nAnswer: s**(719\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -598 - -108?\nAnswer: -490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 7 = s + 8*x, -8*x = -4*s + 32 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3472 - -0.34714198. Round c to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16243 + 48164\/3. Let c = t + 190. Let n(w) = -w - 5. Let a be n(-6). Which is greater: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*w + w + 42 = 0, -5*r + 105 = 5*w. Solve -3*j + 6 = -2*j + a, 5*j + 2*a - r = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5 - 30*k**4 + 186*k**3 + 844*k**2 - 3603*k - 10710 = 0. What is k?\nAnswer: -3, 5, 14, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - 6*sqrt(117)*-1)*-5)\/(sqrt(108)\/(sqrt(1728) - sqrt(1728)*-1))*3.\nAnswer: -2520*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 59 + 445 - 3*p - 31*p**2 + 26*p**2 + 129 + 4*p in the form w + m*p**2 + o*p and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 239 - 167. Calculate the highest common divisor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 - -19.4. Let d = 29790 + -29791. Is c >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/7 (b) -1\/6 (c) 0 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.26359 + -0.2187. Let h = r - 0.0327. Round h to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.66? (a) -7507 (b) 0.4 (c) 2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 20 = -x, -10 = 5*x - 9*f + 11*f. Suppose -2*j + 4*d = 2*j - 24, -4*d - 20 = -2*j. Which is the nearest to 2\/3? (a) 1 (b) j (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10253, 20507, 30761, 41015, 51269, 61523?\nAnswer: 71777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 938 divide 583778370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 175545985?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1860 by 186.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -51. Let h = y - -12. Suppose -q + h*b = 3*q - 427, 2*q - 212 = 4*b. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40963418 or -17?\nAnswer: 40963418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8298722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 24*n - 153370 = 0. What is the thousands digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -189*u - 1087?\nAnswer: -189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/8)\/(1\/4). Let i = 0 - h. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1145 - 1136. What is the remainder when 187 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 6. Suppose -3*j = 2*j. Let w be t(j). Let d(b) = b**2 - 17106999 + 17106999 - 6*b. Calculate d(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 8*q - 1. Let g = -10 - -15. Suppose 4*k + v - 15 = g, 2*v = -5*k + 22. What is r(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 56616.27?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1885 and 387875?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 a when four letters picked without replacement from uxaggtuxuxtaaata?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14749 and 439503344?\nAnswer: 2107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*k + 4, -4*p = -5*k - 3*p + 1. Suppose 20 = -11*d + 6*d, -5*h + d + 1229 = k. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 6*d - 5. Let s be j(7). Let w(y) = -2 + 2 + y**s. Let c(f) = -6*f. Let a(l) = 11*l. Let n(g) = 4*a(g) + 7*c(g). Give w(n(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.4, 5, 100, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 4:18 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515288.\nAnswer: 2, 41, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14709.2879 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 13*r = 10*r + 11847, 5*j = -2*r + 19748. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + 0*5\/20. Suppose 2*l - 86 = -4*p, h*l - 3*p = 100 + 128. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-44 + -4 + 0. Let g = z + 103. What is the greatest common factor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9*b - 11. Let y(k) = -1. Let s(u) = -6*i(u) + 66*y(u). Let l(a) be the first derivative of -a**2 + 6. Calculate s(l(o)).\nAnswer: 108*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741 is divided by 49?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-1 - (5 + -8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 127836.3 weeks in nanoseconds?\nAnswer: 77315394240000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 2*z + 4. Let v be (-6)\/(-13) - 582\/1261. Give n(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 6:20 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 (base 11) in base 6?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 7*g - 5. Let r be d(-5). Suppose -j = y - 1, r*j + 19 = 4*y + 4*j. Is 5\/2 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.038276 to four decimal places.\nAnswer: -0.0383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**3 + m**2 + m - 24. Let v be k(0). What are the prime factors of (363\/(-12) - -6)*v?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11326177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -287553.37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 3*b + 0*b + (33 + 130 + 60)*(-6 + 6 + b) + b - 3*b + 0*b)*(-b**2 + 3*b**2 - 3*b**2)*(-b + 2*b + b).\nAnswer: -444*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + -153554231?\nAnswer: -153554214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88508.\nAnswer: 2, 7, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n - 190. Let w be d(-31). Let l be ((-3)\/9)\/((-2)\/18). Let v(j) = j - j + l*j. Calculate v(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -3, 2, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 1440?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 4) to base 14.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 15 + 17 = 0. Suppose 114 + 386 = -3*f + 2*o, -5*f - 4*o = 848. Let j be (-6)\/(-14) + (-162)\/f*12. Solve j = 5*i - s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -9, 6, 27, 54?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -735 divided by 21.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/(-20)*-4*(15000\/(-160))\/25?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.88156 millennia in years?\nAnswer: 47881.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 9696.\nAnswer: 29088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.031476.\nAnswer: 0.062952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45555 * -0.1.\nAnswer: 4555.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-3)\/(-1 - 0). Let f(i) = -i**3 - i**2 - i - 5. What is the remainder when f(-4) is divided by (8 - q) + 1*2?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3888686 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 82115 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + 2*sqrt(192)*-5)**2 - (sqrt(12) - (sqrt(12) - ((sqrt(48) - sqrt(12)) + sqrt(12))) - (sqrt(3) - (sqrt(27) + 1 - sqrt(3))**2))) + -4.\nAnswer: -7*sqrt(3) + 15535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -14*n + 1\/3*n**3 + 0*n**2 + 0. Let r(o) = 2*o**2 - 5*o**2 + 2*o**2. What is t(r(w))?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*c - 2*y, 10*y = 2*c + 6*y - 42. Calculate the remainder when 450 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 14*x**2 - 1. Let t(m) = m**3 - 5*m**2 + 4. Let o be t(3). Let k be p(o). Put 1, k, -5 in descending order.\nAnswer: 1, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from {p: 1, b: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2219996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -13*u + 51. What is k(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-7)*w))**(-3\/8) assuming w is positive.\nAnswer: w**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*g + 167*g - 197*g + 986 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) - (2*sqrt(88) + sqrt(88)))*-5 - (sqrt(88) + (sqrt(88) - -4*sqrt(88)*2) + sqrt(88)))\/(-4*(sqrt(224)\/sqrt(4))\/sqrt(7)))**2*-5.\nAnswer: -55\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.229170061 + 0.1.\nAnswer: 3.329170061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -839 divided by 6\nAnswer: -839\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14696*i**3*s + 2*i**3 + 444*i**2*s + 4*i**2 wrt i.\nAnswer: 88176*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 4 - 3 - -8. Let p(v) be the second derivative of v + 0*v**5 + 0 + v**2 + 0*v**f + 0*v**3 - 1\/15*v**6. Find the first derivative of p(y) wrt y.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344026 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 361622766 a multiple of 6370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16469011.\nAnswer: 13, 1266847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 35470\/8 + (-2)\/(-8). Suppose 0 = -3*j + g + g + i, 1478 = j - 3*g. Suppose -5*m + 4*w - j = -5736, m = w + 852. What is m rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 243640 and 19028284.\nAnswer: 190282840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*z + 103*z - 1 + 3)*(2*z + 3 - 3).\nAnswer: 62*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4653908?\nAnswer: 2, 7, 71, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3124, 12622, 28512, 50794, 79468, 114534?\n\"Answer: 3196*z**2 - 90*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-1\/3))\/q)\/q)**(15\/2)*q**(-2\/9)*q*q*q**(-1\/18) assuming q is positive.\nAnswer: q**(-149\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvcv. What is prob of sequence vvc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 746284 - 301381. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - m**2 + 8*m + 9. Let z be v(-4). Suppose -3*k - 7 = 2*c - z, 6 = 3*k - 2*c. Suppose n = k*n. Solve n*h = 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103929707 is divided by 220190.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -298 + 302. What is the greatest common factor of 84 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - -0.1. Which is the second smallest value? (a) -1\/7 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16\/(((-117)\/(-486))\/13) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aagg when four letters picked without replacement from agaggaaaggggaa.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 11*o**8\/56 - 9*o**4 - o**2\/2 - 160*o. What is the third derivative of f(k) wrt k?\nAnswer: 1320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 69 = -9. Solve -s*b - 7 = 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/180*1200\/125\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-5 - (-6 - (1 + 1 - 4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -161130515?\nAnswer: 161130516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 5*w**2 - 8*w**2 + 0*w**2 + 0*w**2 - 2*w**3 + w**3 to d + s*w**3 + b*w**2 + o*w and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 2*j + 14, -2*j - 10 = -2*i. Suppose 2*b = 5*b - 4*z - 1, 3*z = i*b. Solve b*m + 3*x = -x - 11, -28 = 5*m - 3*x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 847 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(7) - (sqrt(42)\/sqrt(6) + sqrt(7)) - sqrt(7))*4 - (3 + sqrt(112))) + 2 + -2*sqrt(112) + -4)**2.\nAnswer: 200*sqrt(7) + 2825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -1, -3, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38873 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*f + 286 = -19, 0 = -5*o + f + 695. Suppose r = 4*r + 15, 5*q - 3*r + o = 0. Let v = 44 + q. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 543001201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -k - m + 7, -m = -2*k + 9. Suppose 0 = -q + 28 - 1. Suppose -4*b + 2*r = -3*r - q, 2*b - 3*r - 15 = 0. Solve 4 = -k*s + b*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-6)*135\/36. Let a(c) be the first derivative of 2 + 1\/6*c + 1\/30*c**l - 1\/9*c**3 + 0*c**4 + 0*c**2. Factor a(r).\nAnswer: (r - 1)**2*(r + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 5) to base 12.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + b + 1)*(-2*b + 3*b - 3*b) + 6 - 2*b**2 - 8 - 6)*(-1 + 2 + 1 + (1 - 1 + 2)*(1 - 6 + 3)).\nAnswer: 8*b**2 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u = -4*w - 24, 4*w - 75 = -5*u. Let j(x) be the second derivative of x**3\/6 + 10*x**2 - 28*x. Does 16 divide j(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = -12*i - 61*n + 123*n - 65*n, -5*i - 38*n = -0*i - 1226 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 (base 4) in base 3?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.14 - -0.146. Let j = -0.294 - q. Is 2\/9 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 2. Let g(w) = w**3 + 4*w**2 + w - 5. Determine 2*g(t) + 7*y(t).\nAnswer: 2*t**3 + t**2 + 2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 1, 446, -4, -9, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**6\/30 - q**5\/20 + q**3\/6 - 2*q**2. Let c(z) = 3*z**3 - 2*z**2. Let n be (2\/(-3))\/(24\/18 - 1). Calculate n*f(j) + 3*c(j).\nAnswer: j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8019 + -4692. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 1. Let l be ((-36)\/(-42))\/((-1)\/(-7)). Let t(i) = -4*i + 20. Let s(d) = 2*d - 10. Let h(k) = l*t(k) + 11*s(k). Let c be h(4). Give v(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 8*s**2 - 7*s + 4. Let f(y) = -y**3 - 7*y**2 - 6*y + 4. Let r(w) = -4*f(w) + 3*v(w). Calculate r(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6344242?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 64\/(-36) + 2\/(-9). List the prime factors of k\/2 + (-7)\/(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/7*(-512)\/5760.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 8*x + 43. Let z(y) = 517*y - 1557. Let s be z(3). What is w(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 + 55. Solve -122*b + 120*b = -r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17892160 divided by -4576\nAnswer: -3910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**2. Let w(g) be the second derivative of -23*g**4\/12 + 12*g - 2. Calculate b(w(c)).\nAnswer: -2645*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8796*l**2*o**2*p + 2*l**2*o**2 - l**2*o*p - 101*l*o**2*p - 2*l*o*p + 4*l*p - 122*o**2 + 2*o*p wrt l.\nAnswer: 17592*o**2*p + 4*o**2 - 2*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2.96084+1231\nAnswer: 1228.03916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1353*(-37)\/(-1776) - -28.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 69, 2\/5, 1\/6, 0.5, 0.04?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 814561.121 rounded to the nearest 1000?\nAnswer: 815000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02559 to 3 decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -0.1, -2\/7, 47.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2013 = 167. Does 142 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 6*d**2 + 12*d + 18. Let u be x(-4). Suppose u*k + 85 = 61. Is -4 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8033972 litres to millilitres.\nAnswer: 803.3972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((m - 2*m + 4*m)*(0 + 1 + 3) + 2*m - m - 3*m)*(1 + 0 - 3).\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.96 - 3. Let h be (5\/10)\/((3 - 4) + -2). Sort h, 0.1, z in descending order.\nAnswer: 0.1, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75009.27l to millilitres.\nAnswer: 75009270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 1 (b) -13\/11 (c) -3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 63. What is the remainder when 185 is divided by f(0)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 5*i**2 - i + 6. Let j be h(5). Let m be (-4)\/3 + j\/3. Let l = -64\/21 - -10\/3. Which is the nearest to m? (a) 2\/17 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1fee (base 16) to base 7\nAnswer: -32555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**3 + 2230*a**2 + 2235*a = 0.\nAnswer: -1, 0, 447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/1)\/((-7)\/(-49)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-44730)\/(-7455) + ((-2475)\/(-84))\/(-5)\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 5*o + 4*j, 23*o - 3*j = 22*o - 21. Let k(f) = -2*f**2 - 14*f - 16. Let i(w) = w**2 + w. Let p(n) = i(n) + k(n). Calculate p(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 26*z - 154. Determine s(-18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -6*j + 24. Find the common denominator of 49\/12 and 105\/(-2) - j\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*i = -8, -3*i + 19 = z - 7*i. Suppose z*c + g - 634 = 0, 5*g - 6 = -16. Does 48 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73522667 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -60221?\nAnswer: -60215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 10:09 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**23*x*x**(6\/7)*x assuming x is positive.\nAnswer: x**(181\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l - l**2 - 4*l - 8*l**2 + 10*l**2 - l**2 + 0*l**2 + (0 - l + 0)*(-4*l - 2*l + 4*l).\nAnswer: 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 16*b + b - 8 + 9*b - 33*b. Let n(j) = 8*j + 9. What is -5*n(f) - 6*w(f)?\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25997\/42? (a) 0.4 (b) -4 (c) 3\/5 (d) -5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 - 68*p - 24. Let c(d) = -d**2 - 33*d - 11. What is 13*c(s) - 6*z(s)?\nAnswer: -s**2 - 21*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*m + 121 = 317, 5*o - 3*m - 464 = 0. Let g = 364 - o. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 9 = -5*j. Let l be 5 + -5 - (-68)\/(-858). Let p = -4\/39 + l. Which is the third biggest value? (a) p (b) j (c) -1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10221 (base 4) to base 13.\nAnswer: 19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 2*y + 3. Let f = -3 + 6. Let q be c(f). Suppose -r - 4 = -h, -4*r + q = 2*h - r. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from {g: 2, n: 1, l: 2, e: 3, h: 4, k: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 686 a factor of 3183726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 686 and 32018?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i + 19*i + 7 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - b = 5, -20 = 10970*b - 10966*b for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 32*g**2 - 266*g - 268. Let c be x(39). Let t(k) = k**3 - 5*k**2 + 18*k - 92. What is t(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 6*q**2 + 2*q - 9. Let n be k(6). Suppose 26 = 4*h - 5*a, 3*h + n*a - 8 = a. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16, 499, 0.574?\nAnswer: 0.574","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1\/6)\/q)**(-6\/5))**34)**(38\/7) assuming q is positive.\nAnswer: q**(1292\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4 - 3 - 134*v + 133*v. Let k = -5 - 0. What is l(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 157 = 3*x, 2*x - 3*f - 7 = 101. What are the prime factors of x?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 570.\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 98370 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*a + 23*a, 2*a = -2*c + 13 + 1. Let o(i) = i**3 - 7*i**2 - 2*i + 7. Give o(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 3*u**2 - 4*u. Let w be g(-4). Let s(m) = -26*m + 3 + 4 + w. Is s(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjaapk. Give prob of sequence kk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.2902 + 0.0798. What is o rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**3 + 41*s**2 + 38*s + 70. Let t(a) = -a**3 + 14*a**2 + 13*a + 23. Let d(u) = 6*q(u) - 17*t(u). Give d(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-27*s**2 + 252*s**2 + 1 + 36*s**2).\nAnswer: -261*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9670\/3 - -3234. What is the common denominator of q and 103\/108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -3 + (-4 - (3 + -9)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -0.13. Let j = 236 - 237.55. Let d = 1.65 + j. Sort d, p, 0.2, 0.3 in descending order.\nAnswer: 0.3, 0.2, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**4\/7 + 1353*t**3\/7 - 114386*t**2\/7 + 28512*t\/7 = 0.\nAnswer: 0, 1\/4, 162, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 171 and 34998?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49333343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(-39)*(118\/24 + 6) and -26\/15?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 334473*a + 334476.\nAnswer: -3*(a - 1)*(a + 111492)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*s**2 - 6*s + 143 + 62*s**2 - 166*s**5 - 27*s**2 + 1480*s**5 wrt s.\nAnswer: 26280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 1. Let r(x) = -8*x**2 + 3*x - 3. Suppose 174 = -37*t + 8*t. Determine t*h(n) + 2*r(n).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**2 + v. Let c(a) = 13*a**2 + 5*a. Let y(s) = -2*c(s) + 9*h(s). Let b be y(-1). What is the tens digit of (-3)\/(b - 69\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4791.948 millilitres to litres.\nAnswer: 4.791948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18294*p**3*u**2 - 803*u**2 - u wrt p.\nAnswer: -54882*p**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or -15?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 46*y + 42*y, y + 2 = 0. Solve -2 = -2*h - x, 41*h - 44*h = w*x - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 15 + 0 = 0. Suppose 4*c - 2*o - o = a, c - 3*o = -3. Suppose 0 = -4*f - 13 + 81. What is the remainder when f is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 8 + -10 - -7) + -18 + 16 - -71?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 421, 5, -5 in descending order.\nAnswer: 421, 5, 4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/27)\/((-1)\/3). Let f(a) = -3*a**3 - a**2 + 4*a + 3. What is the tens digit of f(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = w - 102, -4*w + 288 = -w + 3*d. Suppose 3*g = -3*j + 51, -j + w = 5*g - 4*j. Calculate the lowest common multiple of (-3)\/(-2)*8\/6 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69097872*h*n**3*w + h*n**2*w - 8*h*n**2 + h*n*w + 4*h - 3*n**3 + 49440 wrt n.\nAnswer: -414587232*h*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s. Suppose h + h + 5*l - 19 = 0, 5*h = 4*l - 2. Let a(k) = -2*k**2 - 4*k**2 + 2*k**2 + 3*k**h. Calculate w(a(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(1\/1 + (-7)\/3). Let m be (90\/24)\/(-15) - 4783998\/h. What is m rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 22. Let a = 56 - 171. Let d = -31 - a. What is the highest common divisor of w and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-24))\/((-5)\/((-105)\/(-14))*(-125)\/(-50)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-2))\/((-41)\/10 - -4). Suppose -4*b - 5*t = -6*t + 62, q*t - 38 = 3*b. Let g = b - -25. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(20\/14 - 9\/21). Let g(w) = 10*w - 6. Let f be g(6). Suppose h*x + f = 2*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8578.\nAnswer: 2, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(450) + -1 + -1*sqrt(162) + 5.\nAnswer: 4 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((35\/45)\/(-7))\/((-4)\/8).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 4*u + 7. Let q be p(-6). Let m be q*1*2\/(-2). Suppose 4 = m*v - 1. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19734?\nAnswer: 2, 3, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6314 and 85526?\nAnswer: 940786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/563 or -1.545?\nAnswer: -1.545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 o when three letters picked without replacement from {o: 3, k: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - 0. Let v be 475\/(-10)*f\/5. What is the common denominator of -151\/18 and 20\/(-8)*v\/(-135)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l - 110 = 0. Suppose 4*o - 132 = 8*o. Let p be -1*o\/((-3)\/(-1)). Calculate the greatest common factor of p and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2710, -21639, -73090, -173341, -338670, -585355, -929674?\nAnswer: -1387905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -3 (b) 2 (c) -9\/2 (d) -3\/7 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6)\/(6\/(60\/(-5))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1028 times 653?\nAnswer: 671284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -341*x**2. Let o(b) = -3*b. Give u(o(m)).\nAnswer: -3069*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of ((-10)\/15)\/(4\/(-870))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 251573 + -0.07\nAnswer: 251572.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/468 and 143\/648?\nAnswer: 8424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 41. Suppose 7*m + 4*m = 385. Let l be d(m). Let i(s) = -s**2 + 10*s - 8. Give i(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + sqrt(95)\/sqrt(5) - ((sqrt(171)*-2)**2 + (sqrt(114)\/sqrt(3))\/sqrt(2)).\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 169*q + 9*q**4 + 98*q**3 - 16*q**3 + 79*q**2 - 85*q**2 wrt q.\nAnswer: 216*q + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 23*z - 5 - 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 169*c. Let d be v(0). Solve d = -48*i + 44*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 387*y + 366*y - 10*y**3 - 4 - 754*y + 26*y**2 in the form u*y**2 + j*y**3 + h + t*y and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/6)\/((-2)\/(-4)). Let n be (s\/4)\/((-2)\/(-8)). Let d = 14 + n. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4*n = 8, -6*o = -o - n - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 + -3 + 115 + -82?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + r**2 - 10*r**2)*(6*r - 117*r + 23*r) - 6*r**3 + 2*r**3 - 8*r**3.\nAnswer: 516*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/13)\/s)\/s*s**21*(s*s**(-1))**(-1\/2) assuming s is positive.\nAnswer: s**(249\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 746 = -127*q - 270 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28618 - 9239 = -4*l - 3*a, -l = -2*a - 9478. Let k be 2*(-3)\/8 + 7173\/l. Which is greater: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-10))\/(16\/(-20)) - 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from {y: 2, t: 1, e: 1, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 177, -408, 5, 36, -4 in decreasing order.\nAnswer: 177, 36, 5, -4, -408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 558 and 703266.\nAnswer: 2109798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w. Let a(l) = -45195*l. Determine a(b(u)).\nAnswer: -90390*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 7 = -19. Suppose 2*h + s*h - 20 = 0. Let k = 64 - 42. Calculate the smallest common multiple of k and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -34?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzpyyycyymymcy. Give prob of picking 1 p and 1 c.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30260 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 120409\/3 + 1\/3*l**2 + 694\/3*l.\nAnswer: (l + 347)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, 2007, 3, 55?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74891 is divided by 18683.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 3, 9\/4, -0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 6:10 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180 divided by -5?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -266776528 divided by 9224\nAnswer: -28922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from ysmhsqr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*j - 78*j + 5 = 0. What is the common denominator of (-55)\/(-12) + 4 + j and -61\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 704 - 701. Calculate the highest common factor of z and 1263.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 20*x - 13. Let s(b) = 10*b - 7. Let r(i) = 4*c(i) - 7*s(i). What is the derivative of r(m) wrt m?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.337639\nAnswer: 0.1012917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4698 by -6.\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 27 = -2*y, -3*y + g + 41 = -7. Let k = -5 + y. Let r = -123 - -127. Solve 3*d = h - k, -r*h = -d + h - 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6936\/91 + 1083\/14. Which is bigger: q or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -660 = k + d, k + 2*k - d + 1996 = 0. Round k to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, 4, -3 in ascending order.\nAnswer: -3, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -22. Let r(q) = -q**3 - q**2 + 3*q - 1. Let z be r(w). Let m = -1 - z. What is the lowest common multiple of 18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(-4)\/(-180) - 52\/(-18). Solve -r*x + 7*x = -12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6 - 5*g**2 - 77*g - 9*g + 72*g. Calculate f(-5).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21 (b) -5 (c) 0 (d) -7.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117215 is divided by 2055.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 225\/825*9900\/(-750).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2324, 4629, 6936, 9245, 11556, 13869, 16184?\nAnswer: 18501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -54547 (base 9) in base 10?\nAnswer: -36169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 78516*u**2 + 314112*u + 314128.\nAnswer: -4*(u - 19633)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28723 + 114897\/4. Sort 13, 4, g, 1\/2 in ascending order.\nAnswer: 1\/2, g, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35714 - 3*k - 35714.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 9)*(7 + -18)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.23 - 0.13. Let s = 1 - 1. Let y be 18\/10 + -1 + s. Which is the closest to x? (a) -0.3 (b) -1\/9 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**4\/24 + b**3\/2 - b**2. Let u(o) = -2*o + 7. Let v = -5 + -4. Let s be ((-6)\/8)\/(v\/108). Give s*q(m) - 4*u(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 8*u**2 - 20\/3*u**3 + 0*u + 236 + u**4. Determine c, given that r(c) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-200))\/((-146)\/438).\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 9:50 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f - 48 = -9*f. Let a be 2216\/20 - f\/(-15). Suppose 6*l - a = l. What is the smallest common multiple of l and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6825 + -3366. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16a9 - 8?\nAnswer: -16b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 7) to base 11\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -t + 3*t. Solve -l = -4*j - 11, 5*l - 2*j - 2*j = t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q**2 - 4*q - 1. Let a(o) = -6*o**2 + 5*o + 1. Suppose d + 7 = 3. Suppose -4*y - z - 21 = 0, -2*y - 13 = 208*z - 205*z. Calculate d*a(t) + y*n(t).\nAnswer: -t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 58.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 108 - -6?\nAnswer: 10e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7613.\nAnswer: 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (11 - (9 + -1 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 23*l**2 + 2*l - 1. Let j be h(1). Suppose -3*u + 139 = -2*a + 91, 0 = -4*u + 5*a + 64. What is the highest common divisor of u and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/3))**(22\/9)*b**(2\/19)*b*b*b**(-2)*b)\/(b**(-1\/2)*b**(1\/9)\/b)**47 assuming b is positive.\nAnswer: b**(66437\/1026)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58773 - 14505 = 2*o. Let t = 64643 + o. Suppose d = -5*i - 27996, -3*i + d - t = 2*i. Round i to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81*b**2 - 105 with respect to b.\nAnswer: -162*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57767 + -25370. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/14)\/((-1)\/(-6)) + 3.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230511353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (247 - 256) + (4 + -10 + 3 - (-92 - 2))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/2261 and 31\/95.\nAnswer: 11305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t = 4*d + 160947, 2*d + 804825 = 5*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -16050718, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120959)\/(-1455) - 83)\/(21\/(-30))?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3685386953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151411082, -151411084, -151411086, -151411088?\nAnswer: -151411090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3645\/(-486)*(-4)\/5. Solve z*n - 13 = -19 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 25*i = -32*i - 35 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 184 and -0.2517?\nAnswer: 184.2517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -1142, -4242, -10276, -20222, -35058?\nAnswer: -55762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (64\/(-24))\/(4\/(-186)). Suppose l = 5*l - u. List the prime factors of l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 5. Let n be z(-10). Let b be (-10476)\/(-60) + (-3)\/n. What is b rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-20)*(-1 + 1 - -10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6497207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 439 - 103. What is the lowest common multiple of w and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134893.0032 rounded to the nearest 1000?\nAnswer: 135000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/2 bigger than -0.091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 71*v - 4 - 14 + 1 + v**3 as w + j*v**3 + i*v + q*v**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18802314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (4 - 3) - -6) + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 6*s**2 - 4*s - 3. Let y be c(5). Let f = y - -4. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4 = 0, r + 7 = 4*r + t. Is (0 + r)\/((-2)\/(-11)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10837 + -10833. Which is the smallest value? (a) 0.2 (b) 18 (c) 45 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 175 by 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 48*l**3 + 4*l - 12*l**3 - 5*l.\nAnswer: 36*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 22\/83 (c) 13\/6 (d) -0.7 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26032 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(605)*-2) + -1)**2.\nAnswer: -46*sqrt(5) + 2646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 507121 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420*q + 66 = -428*q + 3*u, -4*u = 8 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**5 + 34*u**4 + 113*u**3 + 106*u**2 + 24*u = 0?\nAnswer: -6, -4, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/1356 and 97\/3980?\nAnswer: 1349220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14797 (base 10) to base 5.\nAnswer: -433142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -116*-3\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3752*f - 93889. Determine c(25).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -0.2 (b) -1.7 (c) -0.06 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*-17\nAnswer: -1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -30331132111 (base 4) to base 11\nAnswer: -1a1067a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -q, 0 = 3*f - 4*q + 5*q - 7. Let y be 2 + (f - (3 + -2)). Put 0.4, y, -0.3 in ascending order.\nAnswer: -0.3, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/1036 and -27\/740.\nAnswer: 5180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 14609.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6671747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**4\/6 - y**3\/6 + 3*y**2\/2 + 25*y + 17. Determine x(-6).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4161 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41873799 is divided by 2463163.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 2*q + 157. What is the tens digit of z(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 o when two letters picked without replacement from {o: 1, m: 1, f: 1, g: 1, l: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 336 and 1104?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(6) - 3*sqrt(6)) + (-1 + sqrt(11))*-4 + 3)*-4.\nAnswer: -28 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(288) - 3*sqrt(288)) + 0 + sqrt(68)*-5 + 1 + -2)*-3.\nAnswer: 3 + 121*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnbbnnn. Give prob of sequence bb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(108)*-1 - sqrt(108))*-1 - (sqrt(108) + 4 + 0 + sqrt(108))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4\/8*-2)\/(6\/2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4106?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12191193, 12191194, 12191195?\nAnswer: 12191196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-25 - (-25 + 12))) + -3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235.35057 hours to weeks.\nAnswer: 1.40089625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 852*v = -24112 + 67564 for v.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11 and -300901.\nAnswer: -33099.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.495160934 to two dps.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2453 = -2*o, 8*n - 10*n + 4*o + 1614 = 0. What are the prime factors of n?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -8*a**4 - 109*a**3 - 77*a**2 - 4*a - 5. Let c(t) = -t**4 - 3*t**2 + 3*t - 1. Let m(v) = 5*c(v) - o(v). Find the third derivative of m(z) wrt z.\nAnswer: 72*z + 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -457*p + 458*p = 5*z - 27347, -3*z = -2*p - 16411. What are the prime factors of z?\nAnswer: 3, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-3 + 2*a + 3) + 3*a - 5*a + 3*a + (-10*a - 6*a - 11*a)*(3 - 5 + 0)*(81 + 73 - 182).\nAnswer: -1507*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 34, 5, -5.\nAnswer: -5, 5, 7, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-4*v + 0*v + 3*v) + (4*v - v - 4*v)*(-1 + 8 + 11).\nAnswer: -17*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118*f**2*k**6 + f**2*k**5 + f**2*k - 26*f*k**2 - k**2 wrt k?\nAnswer: 14160*f**2*k**3 + 60*f**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 28. Suppose -147 = 5*b - r, 2*b + 48 = -r - 4*r. Let o be g(b). Let j = 205\/2 - 105. What is the closest to -0.1 in o, 0.5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 + 48*l - 1 - 6 + (-2*l - 2*l - l)*(6 - 2 - 3).\nAnswer: 43*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 23*f + 3. Let z be p(11). Let m be ((-3)\/2)\/((-6)\/z). Suppose 5*i = 2*i - 5*d + 242, -5*d = i - m. Is i 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 1300540360?\nAnswer: 2, 5, 7, 663541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*o = 135163 + 711373 + 326302. What are the prime factors of o?\nAnswer: 2, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 90 + 1080?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-14)\/(-3))\/(192095\/21321 + -3*3) is divided by 126?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51\/154 - -1\/22. Which is the closest to 0? (a) 5 (b) 0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2. Let g(v) = -v - 1. Let t(o) = -1. Let i(q) = -g(q) + t(q). What is i(z(k))?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6383291583.\nAnswer: 3, 2127763861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 368*j**3\/3 + 154*j**2 + 2*j - 59. What is the derivative of h(s) wrt s?\nAnswer: 736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 - -62.2. Let j = p - 3.2. Put j, 1, -13 in decreasing order.\nAnswer: 1, j, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/6*10\/(-6)*9873\/(-43880)*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15887, 31758, 47629, 63500, 79371, 95242?\n\"Answer: 15871*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 42, 41, 36, 27, 14, -3?\n\"Answer: -2*m**2 + 5*m + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*v + 1592 = 0, 6*v - 2*v = k - 383. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggggg. What is prob of sequence ggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/b**23)))\/b**6*(b**(-4)\/b)\/b*b**(-1) assuming b is positive.\nAnswer: b**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) -1\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**2\/2 + 5*p + 4. What is the remainder when 8 is divided by h(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**3\/9 + 18*n**2 - 880*n\/3 - 27104\/9 = 0.\nAnswer: -7, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -9\/4*c**2 + 5\/2*c**3 + 1\/10*c**5 - 1 + 0*c - 7\/8*c**4. Factor m(v).\nAnswer: v*(v - 3)**2*(v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5415 is divided by 166.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -820*f - 626. Calculate the remainder when k(-1) is divided by 60.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.97 + -2.67. Sort 0, -4, p.\nAnswer: -4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 724214321 to the power of 1\/2, to the nearest integer?\nAnswer: 26911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5588 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2201*g**2 - 1804*g**2 + 199*g**2 - 2 to k*g**2 + m*g + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (92\/552)\/((-1)\/5*1)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 a factor of 42195321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 9*z**2 + 0 - 2\/15*z**4 + 11\/150*z**5 - 4\/15*z**3 - 1\/100*z**6 + 0*z. Find l, given that c(l) = 0.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 6*j = -18, -13*r = -17*r + 3*j + 19 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 502576 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19397\/5 - 3879. What is the closest to -2\/15 in -4, -1\/22, j?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 139962, 140212, 140462, 140712?\n\"Answer: 250*r + 139712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 292969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/32 and 57\/376.\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 123*b**2 + 311*b + 939. Let p be w(-3). Let l = -45 - -66. What is the highest common factor of p and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (3 + -1 - -2). Suppose 0 = w*g + g - 32. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1574217)\/(-18))\/((-2)\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -7852183\nAnswer: 23556549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**5\/60 + 22*i**3\/3 - 2*i**2. Let b = 46 + -31. Calculate the remainder when z(0) is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1, 494, -0.37?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/8 + (1 - 0). Let m be (2000003\/5 + -3)*g. Suppose -5*o - 3*y = -m, 0 = -4*o - 5*y + 618984 + 980996. What is o rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, -2\/13, -2?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/105 and 64\/131895.\nAnswer: 923265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 7:13 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kr when two letters picked without replacement from {r: 3, h: 3, k: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 9:24 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/4 of a centimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 12. Suppose -f = -0*f - q. Suppose -5*g + 12 = -3*a - g, -4*a + 3*g = 9. Sort -4, f, a in increasing order.\nAnswer: -4, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -379.69 - -382. Round c to 1 decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -24469*p + 24437. What is y(1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10008)\/(-12) - (0 - (-4 - -4)).\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.5273 meters to millimeters.\nAnswer: 60527.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 112*j - 1 + 0*j**2 - 3 - 102*j. Let d be 26\/(-2) - (1 + -3). What are the prime factors of k(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 531360185?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 158574496 to the nearest one million.\nAnswer: 159000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -319*q - 4. Is 21 a factor of m(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-411.\nAnswer: -822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**6\/120 + m**5\/30 + m**4\/8 + m**3\/3 - 7*m**2. Calculate i(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 40528047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59\/90 + -1\/18. Let a = -3.9 - 0.1. What is the third biggest value in a, -1\/4, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p + 5*p + 0*p. Let m(a) = a**2 - 4. Let s(b) = b**2 - 5. Let j(l) = 5*m(l) - 4*s(l). Determine j(v(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**4 + 37228*c**2 - 11 + 2 - 4*c**3 - 37232*c**2 to f*c**2 + d*c**3 + n + g*c + y*c**4 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 880*g + 15228 = 884*g. What is the tens digit of (g\/(-4))\/(-3)*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10000010001111011001110 (base 2) to base 6\nAnswer: 231245554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 4*b - 4*b)*(-1075*b - 273*b - 142*b).\nAnswer: 7450*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2\/13 - 1553530*l\/13 + 239004 = 0. What is l?\nAnswer: 2, 776763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, k: 2, m: 1, s: 5, q: 1, o: 3}. Give prob of sequence kos.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 1\/2, 0, 3, 2, -0.3674.\nAnswer: -3\/4, -0.3674, 0, 1\/2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0 - 0) + (-8 - (45 + -46))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48835618 or -48835619?\nAnswer: -48835618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 o when four letters picked without replacement from momohoo?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -15010 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 i when three letters picked without replacement from eopipmeppevp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -5. Let a be (-12)\/((-4)\/(4 + -2)). Suppose -10 = t*j - a*j. Let u(g) = g - 1. Determine u(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.54 + -8.8. Let v = n - -0.26. Sort -2\/11, v, -1 in decreasing order.\nAnswer: v, -2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-25))\/(6 - 4)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -103 + 79. What is the thousands digit of 1340*((-14)\/k + (-2)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**3\/2 - 6*w**2 - w. Let n be f(5). What is the third derivative of -4*a**5 + 3*a**2 + 52*a**3 - 52*a**n wrt a?\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.5 + -3.5. Let k = q - 9.1. Let a(c) = -12*c**2 - 2*c - 1. Let l be a(-1). Put -1, k, l in decreasing order.\nAnswer: k, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15546 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16193*r + 16268*r - 4425 for r.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 532251 + 0?\nAnswer: 532251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = c + 3*n, -4*n + 12 = 0. Let d be (-1)\/c*(18 + -6). Suppose 5*p + 4*x - 8 = 0, -x + 9 = -d*x. Solve -p*r = r - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15379685, -15379684, -15379683?\nAnswer: -15379682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1922 (base 11) in base 12?\nAnswer: -14b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.9 - -12. Let a = -0.05 + -0.25. What is the closest to n in -0.5, a, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1018*v + 1023*v - 14 = 3*o, o + 2 = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 70, 84, 104?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abb when three letters picked without replacement from {a: 4, b: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 340.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*p - 937 + 2051 = -1960 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0, -1\/7, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309428 is divided by 7032.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/4 and -41\/151?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -108*u**5 - 864*u**4 - 2628*u**3 - 3856*u**2 - 2752*u - 768 = 0.\nAnswer: -3, -4\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 182663.\nAnswer: 182678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -635710.\nAnswer: 1\/635710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 516519 > 2.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3805?\nAnswer: 5, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**4*c)\/c)**(-3\/10)*(c*c**(7\/4))\/(c\/c**(1\/4)) assuming c is positive.\nAnswer: c**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/43848 and 83\/6621048?\nAnswer: 6621048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10100 + 1343320\/133. Let i = j + 8\/19. What is the closest to 1\/3 in i, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23794*i**4 - 10*i**3 - 9435131*i**2 + 2*i wrt i.\nAnswer: -571056*i - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(((-3)\/9)\/1). Let i be 60\/(-25)*(-10)\/b. Calculate the greatest common factor of i and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 - -23. Let b be (g\/(-114))\/((-2)\/260). Let m = -7313\/190 - b. Find the common denominator of m and -77\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1054 - 718. Is (-2 - 134556\/(-14)) + (-48)\/j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1725, -7112, -16091, -28662, -44825, -64580?\n\"Answer: -1796*f**2 + f + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -103 divided by 168\nAnswer: -103\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 706 = 7*g + 4*j, -211 = -2*g + 29*j - 32*j. Solve 71 = 9*a + g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i*l**2*r**3 + 86803*i*l**2 + 434*i*l + i*r**3 + 7*l**2 + 523*l*r**2 wrt l?\nAnswer: -4*i*r**3 + 173606*i + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11390 divided by 5?\nAnswer: -2278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 458375 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 26*q**3 + 3267*q**2 - 1133*q - 150. Give w(-126).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.096 + 0.2194. What is n rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ftftfttffftt?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2564813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/5)\/((-4)\/360). Suppose -z = -4*j + v, 44 = 4*j + 4*z - 3*z. Solve -5*g + j = -10*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(308)\/(sqrt(66)\/(sqrt(18)\/sqrt(3))).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.48873 milliseconds in microseconds?\nAnswer: 92488.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 17*n + 38. Let u(i) = 8*i + 19. Let o(f) = 2*d(f) - 5*u(f). Let l = -35 - -25. What are the prime factors of o(l)?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 42 (c) -1 (d) -65018 (e) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a week in hours?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 977585 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0.4, -2\/5, 2\/17 in descending order.\nAnswer: 11, 0.4, 2\/17, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -16. Solve y*u - 5*k = 0, 3*k = 4*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h + 2. Suppose 56 - 12 = -4*d. Let v(m) = m**2 - 21*m + 10. Let j(p) = d*b(p) + 2*v(p). Let z(r) = 10*r**2 + 10*r - 11. What is -11*j(x) + 2*z(x)?\nAnswer: -2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/2))**13 assuming f is positive.\nAnswer: f**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 r, and 1 p when four letters picked without replacement from zzjzzkrjjbjrbjbzbbzp?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**4 - 37*u - 104*u**3 - 15*u + 2*u**2 + 11*u + 102*u**3 in the form o*u**3 + k*u**4 + g*u + c + m*u**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0*r + 0*r)*(r - 2*r + 0*r) + (319*r - 162*r + 12 - 160*r)*(3*r - 5 + 5 + (2 - 6 + 2)*(0*r - 3*r + 2*r) + 2*r - 2*r - 2*r).\nAnswer: -7*r**2 + 36*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/19? (a) -3\/2 (b) 71740 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -0.1, -0.3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a meter in millimeters?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -3. Suppose -7*q = -5*q - v. Find the second derivative of o + q*o**3 - 3*o**3 + 2*o**4 wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -496861*k - 12. Let q be f(10). Let p = q + 12168622. What is p rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.494 + -0.894. Which is the second biggest value? (a) -91\/3 (b) -1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345646 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/6 + (-13 - -12)*3)*-1393905. Round j to the nearest ten thousand.\nAnswer: 930000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12089, -11879, -11669, -11459, -11249?\n\"Answer: 210*q - 12299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 5)\/(-8 - -10). Let m = -12 + 15. Suppose g + 14 = -m*g - 2*s, 4*g - 2*s + 10 = 0. Sort a, -2, g in increasing order.\nAnswer: g, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 959 divide 1165361975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5*b**4 - 3865*b**3 + 19535*b**2 + 66025*b - 81690 = 0.\nAnswer: -778, -3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 866460 and 138221.\nAnswer: 2063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, r: 3, c: 5}. What is prob of picking 2 p and 1 r?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.23 (b) -2\/5 (c) 2\/67 (d) -0.03 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1312581?\nAnswer: 3, 437527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.09 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 3 + 2*n**3 + n - 100*n**2 + 7*n**4 + 100*n**2 to the form s + b*n + u*n**4 + v*n**2 + p*n**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -n + 19, 3*n - q - 4 = 11. Suppose 3*u - 2*u = n*f - 17, 0 = -4*u + 3*f - 16. Let o = 1 - u. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**2 + 2*u - 1. Let j(a) = -a**2. Let w(t) = -6*j(t) - z(t). What is the tens digit of w(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, f: 9}. Give prob of sequence mf.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**4\/5 - 708*n**3 = 0. Calculate n.\nAnswer: 0, 1770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-39) + 57855\/1235. Solve -n*i + 84*i + 185 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**8\/2520 - 2*v**7\/1575 - 2*v**2 + 18*v. Let c(t) be the first derivative of j(t). Suppose c(o) = 0. What is o?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((((-32)\/872)\/(-2))\/(12\/3))\/(148\/296)\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 39\/(-27) + -26 + 21 + 6*1. Which is smaller: y or 15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**3 - 91*n**2 + 9*n**3 - n**3 + 92*n**2 - 2 to l*n**2 + i*n**3 + z + p*n and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197564206?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/10)\/((-5)\/25). List the prime factors of -3 - 1*(-5 + z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -20. Suppose o = -h - 4 + 2. Let d(z) = -18*z - 3. List the prime factors of d(h).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*m**2 + 15*m**2 - 3*m**2)*(7 + 10 - 1) - 1 - m**2 + 1.\nAnswer: 527*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 32d5aa?\nAnswer: 32d5a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3768449?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggsggs. Give prob of sequence gggs.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(200) + sqrt(200))\/sqrt(4) - (-2*sqrt(350))\/sqrt(7))\/((sqrt(160) - (sqrt(160) + sqrt(160) + -1*sqrt(160) + sqrt(160)))*2).\nAnswer: -5*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 923972 is divided by 54?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 5*s + s)*(-4 + 4 + 1).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 2016.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6*l**2 - 1. Let b(c) = c + 13. Let q be b(-11). What is the units digit of i(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175767 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5888 - 5888 - 5*u + 11774 + 3*u. Give i(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.7 + -8. Let p = 0.2 - d. Let a = -35.403 + 45.403. What is the smallest value in 4, p, a, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 5, j - 3*j + 316 = t + 327 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/22 (b) 0.2 (c) 3 (d) -1\/2 (e) -1.2 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6 - (-34)\/(-6). Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/(41\/328).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(80)*2*-4 - sqrt(80)) + sqrt(45)*4 + sqrt(20)\/(sqrt(12)\/sqrt(3)))**2.\nAnswer: -138*sqrt(5) + 2654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**4\/8 - 31*l**3\/3 - 1280*l**2. Determine s(20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18.26 * 14\nAnswer: -255.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 12008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 190*v**2 - v + 2. Suppose -9*u = -0*u - 18. Suppose 4*o + 3*m - 5 = u, -3*o - 4*m + 7 = 0. Is k(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3d778a - 3?\nAnswer: -3d778d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 886028669 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 35*z**2 - 3*z - 13. Let q(f) = 53*f**2 - 4*f - 19. What is -7*b(l) + 5*q(l)?\nAnswer: 20*l**2 + l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 14620+180.4\nAnswer: 14800.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -321, -329, -337?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2549 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -11*d. Let m be o(-5). Let i be (m\/33)\/(2\/18). Let q(z) = -2*z + 32. Let l be q(i). Solve 3*b + r = -0*b + 5, 2*r - 6 = -l*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 655172452 divided by 1751798\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**4\/4 - 8*k**3\/3 + k**2 - 5*k - 6. What are the prime factors of l(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114 and 3.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0 = -40. What is the lowest common multiple of -7*(-5)\/(c\/4) and 3\/15 + 49\/5?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46105, -46133, -46181, -46249, -46337, -46445?\nAnswer: -46573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 11:56 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 88 (b) -470 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*m + 3803 = -254*m - 1270 for m.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 83*m**2 - 28*m + 34. Let l(y) = -88*y**2 + 29*y - 36. Let f(u) = 17*l(u) + 18*x(u). Let s(v) = 38*v**2. Calculate f(s(t)).\nAnswer: -2888*t**4 - 418*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 381.781 - 358.49. Round n to 0 decimal places.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*u - 10 = -6, 4*m = -u + 6. Suppose -m*y = 108 - 1690. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 o when three letters picked without replacement from kookkko.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 6. Suppose o*r = r + 15. Factor -2\/7 + 2\/7*b**r - 2\/7*b + 2\/7*b**2.\nAnswer: 2*(b - 1)*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -562 (base 10) to base 7.\nAnswer: -1432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1349109773 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**3 - 129*r**2 - 156*r + 649. Give v(44).\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4692, 9384, 14084, 18798, 23532?\n\"Answer: q**3 - 2*q**2 + 4691*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**5 + 539*v**4 - 69*v**2 + 13952*v - 6.\nAnswer: -40*v**3 + 6468*v**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 34*j + 17*j - 81. Let i(r) be the first derivative of 0*r + 0*r**4 + 0*r**2 - 15 + 14\/3*r**j - 8*r**5. Find the third derivative of i(y) wrt y.\nAnswer: -960*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 12*p - 15*p + 5*p. Let z(k) = 2*k. What is b(z(r))?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**5\/100 - b**4\/15 - 2*b**3\/15 - 20*b + 13. Let p(t) be the first derivative of d(t). Factor p(l).\nAnswer: -l*(l + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**2 - q + 5. Is p(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 17. Solve 4*n + 10 = -f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, 2, -0.037, -1023, -3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -99324500 rounded to the nearest 100000?\nAnswer: -99300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8728, -8726, -8722, -8716, -8708, -8698, -8686?\nAnswer: -8672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -2487 (c) -1 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -6 - (-2 - 0)) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a = -5*a - 240. Suppose 6*m + a = 3*m + 4*l, 5*m + l = 5. Suppose -11*g + 13*g - 216 = m. Calculate the highest common divisor of g and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from {e: 4, g: 3, c: 1, f: 1, r: 1, j: 6}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 895 and -7.\nAnswer: -6265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**3 - 3684*c**2 - 86613*c + 90300 = 0. What is c?\nAnswer: -1204, -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1438 - 658. What is i rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**2 - 162*i + 139. Determine k(53).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (7 - 4) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2298666 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 0.2 (c) -0.2 (d) -15 (e) 52 (f) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 15 = -5*n. Find the first derivative of -2*t**4 + 0*t**4 - 5*t**3 + 3 + 5*t**n wrt t.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 295, 669, 1193, 1867?\nAnswer: 2691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 0.4 (b) -3\/4 (c) -3 (d) 2\/9 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2204848*y**2. Let g(m) = -17*m**2. Calculate i(g(n)).\nAnswer: 637201072*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.343833 weeks to minutes.\nAnswer: 13545.83664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -50a (base 13) in base 7?\nAnswer: -2331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*p + 4*d + 4, 2*d + 24 = 5*p. What is the remainder when 9 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1434 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6165863?\nAnswer: 11, 23, 24371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26785 and -2.\nAnswer: 53570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8424.14375 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110001011 - -10110010101101?\nAnswer: 11100000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 8:15 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-48))\/(84\/(-1134))*8\/(-36)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1, -4, -39, 4, 34 in ascending order.\nAnswer: -39, -4, 1, 4, 15, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 690871?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1279788, 2.\nAnswer: -4, 2, 1279788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/5, 0.2, -2.017, 0.1?\nAnswer: -2.017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**9\/1296 + h**8\/560 - h**7\/1260 + h**3\/6 + 5*h. Let q(s) be the second derivative of y(s). Find j such that q(j) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f + 25. Let c(t) = -3 - 5*t + 4*t + f*t. Calculate the remainder when c(4) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 - 3. Let m(z) = 11*z**2 + 5*z - 23. Let f(q) = m(q) - 5*y(q). Calculate f(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l + 754. Let h(f) = 3*f - 1. What is h(y) - v(y)?\nAnswer: y - 755","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x - 11. Let r be (8\/(-3))\/((-102)\/18 - -6). Let l be z(r). Let i(t) = -t**3 + 6*t**2 - 7*t + 4. Determine i(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/7 (b) 635 (c) 1\/2 (d) -1 (e) -1\/16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.085 - -0.175. What is the smallest value in c, -1\/3, -0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**3 + 5*d**2 + 15*d + 165. Let m(x) = -7*x**3 + 11*x**2 + 33*x + 329. Determine 11*a(n) - 5*m(n).\nAnswer: -9*n**3 + 170","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.23413 + 344.\nAnswer: 346.23413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 5*i + 5 - 20, -2*i + 2*k = 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.8*3.\nAnswer: -20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (0 - (6 - 2)). Let c = 15 - 13. Factor -y - 4*f**2 + f + c*f + 0*f**2 + 2.\nAnswer: -(f - 1)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(4\/3) - 3. Suppose -3*x + 6 = -m*x. Solve 2*g + 0*b - x = -2*b, -g + 1 = -4*b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 9*n**2 - 9*n - 5. Calculate i(-9).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 1. Let u(j) = -3*j. Let f be u(-1). Let q = f - -1. Suppose -q*s + 6 = 3*a, -2*s - 2*a - a = 0. Give d(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -332665 - 454?\nAnswer: -333452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 7*a + 5. Give f(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 323, -1773.7, 1.\nAnswer: -1773.7, 1, 323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 8*q**2 - 43*q - 332. Determine i(6).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y**2 - 21*y + 9. Let x(s) = 6*s**2 - 32*s + 14. What is -8*o(u) + 5*x(u)?\nAnswer: -2*u**2 + 8*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3368 by 1277.\nAnswer: 3368\/1277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4)\/(4\/16). Suppose -u*q + 0*q = -20. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 194*s - 190*s - 44, 128*s - 1033 = -0*w + 3*w for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -358376 and 3079?\nAnswer: 361455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r**2*s**2 - 3*r**2*s - 5*r**2 - r*s + s**2 - 2045 wrt r?\nAnswer: 4*r*s**2 - 6*r*s - 10*r - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 945255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = c + l - 20, 0 = -3*c - 4*l + 35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z. Let b(s) = -60*s + 8. Let x(j) = -9*j + 1. Let u(g) = -b(g) + 8*x(g). Determine 9*p(d) + 2*u(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-9\/5)*z)\/z)\/z)\/(z*z**(-1\/6)*z) assuming z is positive.\nAnswer: z**(-139\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10 times -3737\nAnswer: -37370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434 is divided by 64.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862513 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2352105.858 to the nearest 100.\nAnswer: -2352100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 5a?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -475082594 + 475082498.38360075. Let k = 96.1864 + c. Let a = 0.57 - k. Round a to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20441 + 3\/12*8. Let k = -13148 + x. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 414*a**2 - 453*a - 1294. Differentiate l(q) wrt q.\nAnswer: 828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.6 (b) -2\/93 (c) 0 (d) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(48)\/(sqrt(12) + sqrt(48))))\/((2*sqrt(567) + sqrt(567))*-3).\nAnswer: -sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17608*k*x + 16778*k with respect to x.\nAnswer: -17608*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 15, -157, 3, 2\/9, -340?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 1 + (1 + 0 - 3)*(-4 - 3 + 5) - 3 - 1 + 2 + (-3 + 3 + 2)*(0 - 3 + 4))*(-74 - 56*s + 74) - 302 + 302 + 5*s to b + j*s and give j.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**2 - 1335864*g + 29387556 = 0.\nAnswer: 22, 445266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -1 - 10 - (942 + -919)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1092756 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2003.5888 to zero dps.\nAnswer: -2004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.2289065 days?\nAnswer: 19777521.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q**3 + 1555656*q - 3013167 wrt q?\nAnswer: 6*q**2 + 1555656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.2 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39544 (base 11) to base 6.\nAnswer: -1113455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bo when two letters picked without replacement from obeeoxogyooxy?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.096, 0.1, 0.09, 8\/401.\nAnswer: -0.096, 8\/401, 0.09, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/22 + (-291)\/(-33). Suppose -5*z + q = -6. Solve 4*o - 10 = z*d, d + d + 4 = 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 - 2*j - 3. Let r be l(-2). Let g be (2 + (-2)\/6)*6. Let o = g + r. Solve 0 = 3*u + 9, h - 8 = u - o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342812 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 10*f**2 + 27*f - 47. Let p be o(7). Let g(b) = -b**2. Let l(q) = 5*q**2 - 1. Determine p*g(m) + l(m).\nAnswer: 10*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*(2332\/(-132) + 11)*184\/(-20).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**2 + 4*v - 1. Determine r(6).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 589.3353 to the nearest 10.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 13*t + 15. Let c be b(13). Let k = c - 4. Suppose -5*i + 47 + 3 = 0. Calculate the smallest common multiple of i and k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t + 7*t**2 - 15*t**2 + 6*t**2. Let x(k) = k**2. Determine v(x(w)).\nAnswer: -2*w**4 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 0 - 4 + (3 - 5 + 0)*(-1 + 2 + 1))*(-1 + 0 - 2)*(-r + 2*r - 2*r) to the form p*r + f and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27893826*d**2 + 3*d - 169408716 with respect to d.\nAnswer: 55787652*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 221499 (base 10) to base 14\nAnswer: 5aa15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 206564*d**6 - d**5 - 4420*d**2 - 8*d + 1 wrt d?\nAnswer: 24787680*d**3 - 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7976, -7915, -7750, -7433, -6916, -6151?\nAnswer: -5090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21 + 1d8bb?\nAnswer: 1d8dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 323*f + 10330. Determine t(-32).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -635, -1221, -1827, -2459, -3123?\n\"Answer: -g**3 - 4*g**2 - 567*g - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1122 (base 6) to base 13.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*v + 528 = 21*v - 14*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-162)\/243*(-18)\/16\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1155200011 + 14?\nAnswer: -1155155553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3167 + 3150?\nAnswer: 6337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 13. Let d(s) = -s**3 - 7*s**2 - 3*s - 10. Let j = 362 - 343. What is the remainder when j is divided by d(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 9*a - 2. Let v be q(-6). Does 22 divide v\/3*(-30)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 92, -5, 2\/7, 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 4*f - f + 5, 2*a + f = 1. Suppose -5*j - 2*g = -16, 2*j - 10 = -a*j - 2*g. What is the remainder when 12 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 16*x**2 - 21*x - 7. Is t(18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 14*l - 51. Let s be c(-17). Solve 4\/3*w - 14\/3*w**2 + s = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 464 = 4*j, -456 = -2*n - 3*j + j. Let y = -136 - -143. What is the greatest common factor of n and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from roryy. What is prob of sequence ro?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 0*q - 6 = 2*q, -5*a = 2*q - 26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.66 + -0.36. Let f = 0 + 0. Let z(p) = p + 5. Let u be z(0). Sort u, f, c in decreasing order.\nAnswer: u, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2*f - 2*f)*(2*f + f - 2*f)*(-61 + 71 - 151).\nAnswer: 282*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (-65 - (-30)\/6). Let r = 28 + f. Let y be 18\/6 - (1 - 57\/r). Which is the second biggest value? (a) -4 (b) 0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47292 divided by 162\nAnswer: 7882\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*a + 15 = 0, 2*h - 8*a = -3*a - 23. Let r be (-1)\/1 + 0 + 4. Let v(o) = 9*o**2 + h - r*o + 0*o + o. Calculate v(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 12*k**2 - 14*k - 11. Let a be d(-13). Suppose -a = m - 2*m. Let q(p) = 25*p + 1. Is q(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6611 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -21. Suppose -f + 2*v + 1891 = 0, 9515 = a*f - 0*v + 2*v. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-6)\/4)\/(774\/(1486080\/31200)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 18630613 divided by -12\nAnswer: -18630613\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven tenths of a kilogram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/14305, -4, -0.8, 2\/39, -0.4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4) + (-9)\/(-2). Let u(g) = g**3 - 5*g**2 - 2*g - 4. Let b(j) = -j**3 + 4*j**2 + j + 3. Determine w*b(m) + 3*u(m).\nAnswer: -m**3 + m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1435 = 2*w - 1437 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 15*j**3 - 19*j**2 - 2*j - 15. Let n(f) = -7*f**3 + 9*f**2 + f + 7. Let v(t) = -6*a(t) - 13*n(t). Suppose -5*g + 66 = -14. Let d = -13 + g. Give v(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -108*c**5 - 3*c**2 + 716*c wrt c.\nAnswer: -2160*c**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -52*a + 60*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 203 - 347. Let p = 143.3 + z. What is the nearest to 0.9 in 5, 0.5, p, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 528, 1041, 1542, 2031, 2508?\n\"Answer: -6*n**2 + 531*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3620 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/(-18) + 925\/10. Does 17 divide (a\/(-3))\/((-11557)\/(-1053) + -11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olqfohh. What is prob of sequence ql?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 7*u**2 + 6*u - 1. Determine i(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*m + 93*m + 61 = 5*z, 0 = -4*z + m + 48. Solve 46 = -z*k + 124 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95801 is divided by 240?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 278664671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, y: 3, r: 4, a: 4, g: 2, d: 1}. What is prob of picking 2 a, 1 g, and 1 y?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 539351909?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-1\/8))\/v*v**(-2\/9)\/v)**(-39))**(2\/15) assuming v is positive.\nAnswer: v**(1027\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 1547201612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (74\/481 - ((-1055)\/325 - 1))*5. Solve -6 = -k*w + 23*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171.97 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 12381598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y - b - 81467 = -30*y, 3*y + 5*b = 48869. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1053 and 20.2?\nAnswer: 21270.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 776*d + 722 - 15466 = 388*d for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.2, 0, -5, 4271, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnsnnnnnntcnpnttnpnn. Give prob of picking 2 c and 1 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 850834 to the power of 1\/2, to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2372655 (base 9) to base 16\nAnswer: -13a70e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/13 + 10821348*w\/13 + 14637696567138\/13.\nAnswer: 2*(w + 2705337)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/2220 and -11\/26?\nAnswer: 28860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 691412237*s*x - 847442328*x wrt s?\nAnswer: 691412237*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**5*i*i**(-1))\/(i**0*i)**(-41\/3))\/(i**(1\/6)\/i*i**(3\/4)*i)**45 assuming i is positive.\nAnswer: i**(-367\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1068\/(-7) - 4\/(-7). Find the common denominator of 47\/30 and 38\/v*122\/(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + -22300302?\nAnswer: -22300331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560973 at most as big as 2560971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**4 + 3*k**4 - 6*k**4)*(2*k + 10 - 4 - 4) + 3*k**4 + 2*k**5 + 0*k**5 + 0*k**4.\nAnswer: 4*k**5 + 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/24 and 9\/77?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -18*b + 3\/2*b**2 + 8\/3*b**3 + 28. Is p(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**2. Let d(p) = 25*p**2 - 58985*p + 58985*p. Calculate z(d(b)).\nAnswer: 3125*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 8:16 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1356180 divided by -12\nAnswer: -113015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1.1, 2\/11 in descending order.\nAnswer: 2\/11, 0, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43288, 86589, 129890, 173191?\nAnswer: 216492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -230 - -235. Solve 11 = -4*q - i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**3\/6 - 11*d**2 - 3*d. Let i(y) = 2*y + 14. Let u = -6 - -5. Calculate u*i(n) + 12*q(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4349*y**2 - 6216*y + 18. Let s(f) = 2171*f**2 - 3108*f + 8. Let a(k) = -8*d(k) + 18*s(k). Find the second derivative of a(x) wrt x.\nAnswer: 8572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1493.46319 + -1493.5. Round p to 3 decimal places.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3200 + 2?\nAnswer: 3202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*m = 78 - 847, -4*j + 2*m + 624 = 0. Let q = j - -24. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**4\/6 + 16*s**2 - 2*s. Let l(o) = 39*o. Determine b(l(q)).\nAnswer: 156*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 38720.74980581?\nAnswer: 38720.74980581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5962*b**2 + 79 - 110*b**3 + 5962*b**2 wrt b.\nAnswer: -330*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262, -269, -300, -367, -482, -657, -904, -1235?\nAnswer: -1662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-2))\/((-1)\/2). Suppose -k - 5 = -r, 0 = -5*r - 0*r - d*k + 9. Suppose 4*x - 2 = r*x. Solve -2 = -q - 0*q, -b = q + x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -28, -126, -278, -484, -744?\n\"Answer: -27*j**2 - 17*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 12*x**2 + 12*x - 16. Give a(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.4, -147, 19.\nAnswer: -147, -0.4, -0.1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.0491857m?\nAnswer: 49185.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -542, 2 in descending order.\nAnswer: 4, 2, 0, -542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(1573)*2 + -2 - (2*sqrt(1573) + -4 + 3)**2) + 5) + 0.\nAnswer: -37740 + 528*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-46*(-8)\/32)\/(2\/380). What is the third derivative of o*i**4 - 191*i**2 - 4369*i**4 - 166*i**5 + 2184*i**4 wrt i?\nAnswer: -9960*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s - 20*s + 11833 = -707. What is the least common multiple of s and 1056?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/19? (a) -2 (b) 8\/5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9358, 18682, 28006, 37330?\n\"Answer: 9324*x + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**4\/28 - 13*m**3\/14 - 3*m**2 - 61*m. Determine l so that t(l) = 0.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 + (-3)\/5 + -3324*77\/4620.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/19*(-1 + -8 - 1595\/(-165))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7962.\nAnswer: 2, 3, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, 6\/5, -0.27, -7\/5, 0.2, 6\/11, 3062?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1384*n**2 + 1464*n**2 - 16*n - n.\nAnswer: 80*n**2 - 17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 8 = -3*v, 2*z = 4*v + z - 29. Let t(f) = f**2 - 7*f - 4. Let a be t(v). Let p(j) = -j**2 - 9*j + 5. Give p(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 646309 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.8 greater than or equal to 0.16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 4*z**2 + 14*z + 12. Let h be k(-6). Suppose -15*d + 27*d - 24 = h. Solve -d*g = -4*g + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmyyyyfyyzyyymmjyy. Give prob of sequence mjz.\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*1*-6 - 0. Let c(p) = -2*p - 9. Let q be c(r). Is (-3 + 2)\/(q\/(-267)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**3\/6 + 2*o**2 - 27*o + 4. What is j(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - ((1 - 9) + (37 - 33)). Let o be 0*(-4)\/8 + 2. Put -3, o, t, -7 in decreasing order.\nAnswer: o, t, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - g + 15. Solve 11 = 4*u + g*n, -3*n + 13 = 2*u + 2*n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14751 - 18*s - 14747 + 5*s to the form b*s + g and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzuusluqbblsblu. What is prob of picking 1 q and 1 z?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/((p*p*p**(-1\/4))\/p)*p)**(-7\/5))**(-2\/61)*p**(-1\/3)\/(p\/(p*p\/p**(-1\/7)*p))*p**(2\/29)\/p**3 assuming p is positive.\nAnswer: p**(-378263\/371490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h + 4. Calculate the least common multiple of f(2) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -1\/120*c**5 + 0*c**2 + 2*c**3 + 5*c + 0 + 1\/6*c**4. Let h(d) be the second derivative of a(d). Give h(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -75*d - 18. Is 11 a factor of k(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 l when four letters picked without replacement from tbblbtlhbl.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 12. Let j be 3\/(-9) + 48\/9. Let x be (6\/(-10))\/((-1)\/j). Solve 2*y - y + z - 1 = 0, 32 = f*y - x*z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 99? (a) -3\/2 (b) 0.5 (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24522 at most as big as 24629?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**4\/42 - 2*i**3\/7 - 9*i**2\/7 - 12*i - 2. Solve d(r) = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2093 + 2015 - (1 - 44)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1375.647 - -1375. Round f to 2 decimal places.\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -16 - 2*b**2 - 1 + 6*b**2 + 0. Suppose -5*l = -12 - 18. What are the prime factors of g(l)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 2. Let a be h(-10). Let o = a - -11. Is o at least 10\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0612813 - 0.2.\nAnswer: -0.2612813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 68\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -1.1. Let c = -161 + 157. What is the third biggest value in k, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28*12\/(-56))\/((-2)\/3*(-252)\/(-840))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30013297801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -80*d + 63. Let m(u) = 53*u - 62. Let c(g) = 3*m(g) + 2*x(g). What is c(-27)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130357 (base 8) to base 14\nAnswer: -12715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.8 - 12.8541. Let l = 0.055158 + y. What is l rounded to five dps?\nAnswer: 0.00106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(4 + (-2 - 1)). Suppose 10 = z*w - 8. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifty-two fifths of a microsecond?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -34277 + 4*n + 32979 + 0*n as g*n + y and give y.\nAnswer: -1298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 102\/11, -4\/3, -18\/25, -4 in ascending order.\nAnswer: -4, -4\/3, -1, -18\/25, 102\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387466.\nAnswer: 2, 151, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -0.2. Let i = -99 - -98. What is the smallest value in i, s, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 14479896.9 hours?\nAnswer: 86189.8625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j**2 + 5. Let y(q) = 48*q**2 - 36. What is -5*y(t) - 36*z(t)?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -54 + 32. Suppose 2*s + 1595 = 7*s. Suppose 44 = -5*q + s. What is the greatest common divisor of q and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s**5 - 399*s**4 + 2*s**3 + 16*s - 92. Let y(h) = -h**5 - 3*h**4 - h**3 - 1. Let l(p) = -w(p) - 2*y(p). Find the second derivative of l(q) wrt q.\nAnswer: -120*q**3 + 4860*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432499739 to the power of 1\/2, to the nearest integer?\nAnswer: 20797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 + 7 + -2 - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/2, 0.3, -5, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 48*u**3 - u**2 - 4*u + 4. Let q be k(1). Let h = -59 + q. Let y be ((-16)\/h)\/((-2)\/(-18450)). What is y rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 2)*(3*v - 11*v - 2*v) + 4 + 2*v - 2 - v in the form g + q*v and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12.442 and -8.\nAnswer: -99.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 398 in 5, 4, -3, 0.08, 0.5, -608?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (-1)\/(-37))*55\/1254*-6. Is h < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffww when four letters picked without replacement from hhwwfffw?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 59.9\nAnswer: -11.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22.04 - -21.92. Put -0.04, d, 0.02 in ascending order.\nAnswer: d, -0.04, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + 7 - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -223 or -222?\nAnswer: -222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 195\/(-10)*((-3080)\/(-105))\/22.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 27*j**2 + 873*j - 176. What is q(-32)?\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19905 - 19902. Solve -p = f + j, 24 = -5*f + 3*p - 7 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2. Let o(y) = 188*y - 39*y - 67*y - 60*y - 55*y - 1. Give u(o(h)).\nAnswer: -2178*h**2 - 132*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1771, -1849, -1927, -2005?\n\"Answer: -78*u - 1693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8.436*-0.03\nAnswer: 0.25308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -108, -440, -986, -1740, -2696, -3848, -5190, -6716?\n\"Answer: t**3 - 113*t**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 2035 - 110. What is the remainder when r is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35600.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2 = -5*t + 2*g, 3*t - 2*g + 2 = 0. Suppose -2*d - 42 = -t*b - 4*b, -b = -2*d - 6. Calculate the remainder when 20 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 5*b**3 - 10 + 9.\nAnswer: 5*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 5*o**8\/336 + 41*o**6\/30 - 563*o**4\/24 + 7*o**3\/6 + 14*o**2 - 2*o - 78. What is the second derivative of j(f) wrt f?\nAnswer: 100*f**3 + 984*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189723 divided by 2.\nAnswer: 189723\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**3 - 9*l**2 - 9. Let y(m) = m**3 + 2*m**2 + 2. Let w be 6\/(-3)*(-3 - -2). Suppose -k - 9 = -2*k. What is k*y(g) + w*c(g)?\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (sqrt(72) - (3 + sqrt(72) + 0)) - sqrt(72) - (-2 + sqrt(72) + -1)) + (sqrt(72) + 0)*-5 + -3)**2.\nAnswer: -216*sqrt(2) + 2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(252))*4 - (-1 + sqrt(847) + sqrt(343) + (sqrt(343) - (sqrt(343) - 2*sqrt(343))))**2.\nAnswer: -7177 + 88*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**3 - c**2 + 2*c - 1. Let b(n) = -n + 8. Let s be b(7). Let g be j(s). What is the units digit of (-2)\/2 + g + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/3)*d**0)\/((d\/(d\/(d*d**(-2\/3)*d))*d*d)\/(d**(-4)\/d)))\/((d*d\/d**(-1))**8*((d\/d**1)\/d)**(-30)) assuming d is positive.\nAnswer: d**(-188\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-22)\/176*16*(-2399 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53658234973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288798 is divided by 164.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28\/5*z**3 - 16\/5 - 4\/5*z**4 - 12*z**2 - 52\/5*z.\nAnswer: -4*(z + 1)**3*(z + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 251\/156 - -3\/52. Let n = -1130\/7 + 162. Which is the closest to 0? (a) -3 (b) n (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 6 = q. Calculate the highest common divisor of q and 288.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/10)\/(140\/50)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11066392?\nAnswer: 2, 41, 33739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -5 (b) 0.2 (c) -3\/32 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2635247*z**3 - 506209625.\nAnswer: -7905741*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/4 + 1)*-4. Let j = -139 + m. Let x = 208 + j. Calculate the remainder when x is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*z**3 + 39*z**3 + 43*z**3 + 100*z**3 + 35 - 226*z**3 + 10.\nAnswer: 4*z**3 + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m + 2*m - 3*m + (-3 + 3 + 1)*(-2*m + 4*m - m) + 32861*m - 726 - 8168*m + 362 + 7014*m + 364 to a*m + t and give a.\nAnswer: 31709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 822 + -820. Which is the nearest to g? (a) 2\/25 (b) -3\/4 (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 6*c - 29. Let q(w) = w**2 - 22*w - 1396. Let h be q(50). Calculate t(h).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 22. Suppose -3*b = 4*x + g, 5*x = -b + 3*b. Sort b, -2, -3 in ascending order.\nAnswer: b, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h - h + 0*h. Let d(u) = 3*u - 5*u + u + 0*u. Let k be ((-5)\/(-2))\/((-2)\/4). What is k*l(i) - 3*d(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2. Let i(u) = -148*u. Determine g(i(v)).\nAnswer: 21904*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0*t)**(-1\/32)*(t\/(t\/t**(2\/3)))\/(t**3\/t))\/((t\/((t\/t**(2\/9))\/t))\/(t\/(t**1*t))*(t\/t**(-3\/2))\/t*t\/(t\/t**(-1\/4))*t) assuming t is positive.\nAnswer: t**(-1681\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 0 - 1\/6*f**3 - 5\/12*f**4 - 3\/20*f**5 - 33*f - 8*f**2. Find the second derivative of z(w) wrt w.\nAnswer: -18*w - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60509735 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**3 + 2*j**4 - 30*j**4 - 346 + 344 to t*j**2 + s + m*j**4 + c*j + y*j**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 42124724 to the power of 1\/2, to the nearest integer?\nAnswer: 6490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 18*q + 15*q = -7380, 2*q = -10. Which is smaller: 2464 or g?\nAnswer: 2464","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1065 by -17371.\nAnswer: -1065\/17371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73966 is divided by 276.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 4*j**3 - 7243168*j + 7243168*j.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*((m*m**(-2\/3))\/m*m)\/m)\/((m**9\/m)\/m)*(m**(2\/3)*m)**(-1\/8) assuming m is positive.\nAnswer: m**(-39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.048489 years to decades.\nAnswer: 0.7048489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-30554)\/3819 - 16*(-7 - 117\/(-18)) and -24\/469.\nAnswer: 26733","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 - 51. Factor q + 4*q**3 - 3*q + 8*q + 18 - 2*q**3 - 10*q**r.\nAnswer: 2*(q - 3)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*n**6 - 11*n**5 - 1875*n**3 + 31*n**2 - 10043*n?\nAnswer: 5880*n**3 - 660*n**2 - 11250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - 2 - (1 - 0). Is s > 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 902950079 to the power of 1\/2, to the nearest integer?\nAnswer: 30049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(136)*-6 - sqrt(136))\/(sqrt(48)\/sqrt(6)*-5) + (sqrt(34) - 6*sqrt(34)*-1)\/(3*sqrt(50)))*-4.\nAnswer: -256*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.302 - -0.302. Sort -3\/2, s, 0.02 in descending order.\nAnswer: 0.02, -3\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001011110011101011101100 (base 2) to base 13.\nAnswer: -416a393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(2*3\/6). Suppose 2*v - 185 - 59 = b. Let a(w) = 3*w**2 + 7*w + 11. What is the remainder when v is divided by a(-4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 20183)*-3*10\/60 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from uzakwuuzu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4 = -3*w. Let t = 4 + w. Let b be (8\/3)\/((-4)\/(-6)). Solve t = -g - b*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4944 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grcdgrccgcggpgrgd. Give prob of sequence grg.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-11 + 1) - 34 - 0 - 14?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -36, -1, 52, 129?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1136, 2242, 3348, 4454, 5560?\n\"Answer: 1106*k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -306.43 and 0.2.\nAnswer: -61.286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.5 - -4.29. Let a = 0.89 - l. Let k = 0.1 + a. What is k rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 227674654*j**3 - 277427752*j**2 wrt j.\nAnswer: 1366047924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/8, 3, -0.41?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 - k**3 + 3*k**2)*(-3 + 0 + 4) - 3*k**3 + 2*k**3 + 0*k**3 + (-k**2 - 3*k**2 + k**2)*(3*k + 2*k + 0*k).\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + -2.6. Let z = 3 - y. What is the third biggest value in -1\/2, z, 3\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 180 + -83. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 290 and 1798?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -712130 - 10?\nAnswer: -712140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.000520117 rounded to 5 decimal places?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/10? (a) 0.3993 (b) -2\/11 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l + 2. Suppose -45*x = -46*x, -3*h = 3*x + 9. Let j(z) = -4*z - 3. Give h*n(d) - 2*j(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -56. Let w be (-4)\/(0 - -2) - (-60 - -53). Suppose -w*n - 95 = -5*y, -4*y + 5*n = -0*n - 72. What is the remainder when z is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766528 a multiple of 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**2\/4 + 8602*c + 73994404 = 0?\nAnswer: -17204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 24*x - 190. What is the remainder when w(23) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c**2 - 3*c**2 - c**2 + (-2*c - 1 + 1)*(-4*c + 0*c + 3*c) - 1 + c**2 + 1 + 239*c**2 + c**2 - 75*c**2 to k*c + r + l*c**2 and give l.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14518550.\nAnswer: 2, 5, 139, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/63 - 2\/(42\/(-65)). Suppose 20*i = x*i + 9911. List the prime factors of i.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + s. Let k(o) = 2*o**2 - o + 2*o - 8*o**2. Suppose -q + 48 - 49 = 0. Let u(f) = q*k(f) - 5*m(f). What is the second derivative of u(g) wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65859 - 65859 - l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 4*h**2 + 3*h. Let x be q(-2). Suppose -3*f + 25 = x*f. Suppose -2*j + 13 = -19. Find the common denominator of f and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*u + 15*u + c + 2, -3*u - 2*c = -26. What is the lowest common multiple of 10 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 449968640 to the power of 1\/3, to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 + 173 = -30*k - 63 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163, 259, -6 in decreasing order.\nAnswer: 259, 163, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - m = 4. Which is the nearest to 1? (a) m (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 311, 0.2, -3.8, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d**4 + 141*d**3 - 399*d**2 + 291*d - 54 = 0. Calculate d.\nAnswer: -9, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32214650, 32214652, 32214654, 32214656?\nAnswer: 32214658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/83 + -89\/249. Which is the second smallest value? (a) l (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 = 107*m + 106 + 51 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 20*a**3 + 51*a**2 + 2*a. Let d(g) = g**3 + g**2 + g. Let w(j) = -2*d(j) + k(j). What is the third derivative of w(m) wrt m?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1180, 1, -19 in decreasing order.\nAnswer: 1180, 1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 24 - 10 + 71*j - 6 to n*j + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/6944 and -11\/1688?\nAnswer: 1465184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - ((-20 - -20) + -6 - -17)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(0 + 2)*(-192)\/48. Suppose 3*r - p*r = -2. Suppose -2*o - 3*h = -53, -3*o + r*o = -h - 29. What is the remainder when 138 is divided by o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (6*(sqrt(153) + -2) + -4*(sqrt(153) - (sqrt(153) + -2 + sqrt(153))) + -5)*1)*-5)**2.\nAnswer: -40500*sqrt(17) + 400725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.80032 - 2.8. What is l rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.094 times -1.248\nAnswer: 0.117312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22041\/(-12) - 18\/(-96)*4. Let i = -508 - m. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*k + 4*d, -2*k = 2*k + 2*d - 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbxuvvffq. What is prob of picking 1 f and 1 u?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -214 - -221. What is the closest to x in 4, 0.3, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.06652 - -12235.\nAnswer: 12228.93348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17222*o**4 + 11794*o**3 - 1503*o - 2786?\nAnswer: -206664*o**2 + 70764*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + 3 + 222504 - -9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1320 is divided by 452?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2299000 rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (806\/(-155))\/((-142)\/(-355))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 233755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 9 + 1 = 2*u, i - 2*u = 15. Suppose -4*p - 24 = -4*a, -4*a + 3*p - 3 = -23. Suppose a*m = m. Solve -i*r - 18 = q, 3*r + 3*q + 0*q + 6 = m for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15612 - 6643. Let r = g + -8815.73. Let f = r + -155. Round f to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3\/5 + 914162*p**2\/5 + 104473860374*p\/5 + 2820127845366\/5 = 0. Calculate p.\nAnswer: -228527, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, m: 1, d: 12}. What is prob of picking 4 d?\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -90. Let m = b + -28. Calculate the remainder when m is divided by (1 + -2)\/(1\/(-15)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**5\/5 - 11*n**3\/12 + 9*n**2\/8 - n\/2 - 5. What is p in a(p) = 0?\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4191604 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 566 = -5*w + 3*w, 3*k - 842 = 4*w. Let s = k - 124. What is the least common multiple of s and 10?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 - 79. Let t be q\/36 - 338\/(-18). Find the third derivative of 5*d**2 + 6*d**2 + 11*d**5 + t*d**5 - d**2 wrt d.\nAnswer: 1800*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 103454813 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w**2 - 4*w. Let b(t) = 11*t**2 + 7*t. Determine -4*b(q) - 10*p(q).\nAnswer: 6*q**2 + 12*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-85)\/51*18\/(-15). Factor -70*l**3 - 13*l**3 - 5*l**4 - 172*l**2 - 73*l**h + 13*l**3.\nAnswer: -5*l**2*(l + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven eighths of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 10*j + 2. Let f be x(-10). Suppose 3*c = -4*i + 29, 2*c - 4*i = -f*c + 76. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 32 = 6*c. Let y = c + 21. Let m = 12 - 8. Solve -m = -z - y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -8*d - 8. Let l(x) = -x - 1. Calculate -4*l(j) + y(j).\nAnswer: -4*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, 0, -123019, 3 in decreasing order.\nAnswer: 3, 0, -3, -6, -123019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5*v**(3\/4))**12\/((v*v*v**(-1\/3)*v*v)\/(v*v**(-5\/3)*v)*(v**(1\/3))**(-20\/11)) assuming v is positive.\nAnswer: v**(729\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-21)*(-42)\/(6 - 0). Suppose -4*g = -3*u + 20, -6*u + u = g - 18. Solve -5*j = -u - t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -34\/2247?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 100111001111010101?\nAnswer: -100111001111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6\/1019?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -13*q**4\/12 + q**3\/6 + q**2. Calculate the remainder when o(-1) is divided by (26 - 30)*(-14)\/4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10051 + 2915 + q - 6658.\nAnswer: q - 13794","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 1 = -3*g, 0 = 3*l - 21*g + 18*g - 27. Suppose 0 = -3*u + 6 + 6. Suppose -2*c + u + 0 = 0. Solve c*y + l = -2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.398 and 14913?\nAnswer: 95413.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 4093540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -5 - (4 + 24)) + -7 + 1.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2. Let m be (-1)\/2*(-3 - 21). Solve b*f = -2*f - m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -72*q - 4468. Let c(s) = 3*s**2. What is m(c(l))?\nAnswer: -216*l**2 - 4468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(416)*-2 - sqrt(416)) + (sqrt(78)\/sqrt(3) - sqrt(26))*2)\/(sqrt(8) - sqrt(392)*1) + -3)**2.\nAnswer: -6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhhvvvh.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = 3*y + x, -146 - 130 = -4*y - 3*x. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 304 = -3*k, -170 = -3*y - 3*k + 712. Suppose d + y = 2*c, 5*d = -5 - 10. Calculate the highest common factor of c and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -461*r + 5534. Let q be m(12). Are q and 0.112 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = x + 2. Suppose -2*p + 0*p - 79 = -w, -x*p - 247 = -3*w. Calculate the remainder when w is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**5\/5 - n**4\/3 - 6*n. Factor f(h).\nAnswer: -4*h**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -218 in 5, 0, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*w - 733 = 0, -w = 2 + 2. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4470.\nAnswer: 2, 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.0076135 and -0.093?\nAnswer: 2.9146135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 5:21 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001011110001110 + -101?\nAnswer: -10001011110010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (-1 + 2))\/(-1). Suppose g - 9 = -4. Let l = -0.22 - -0.12. What is the nearest to l in -0.4, g, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932 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 p(l) = 4*l**2 + 3*l - 2. Let b be p(1). What is the least common multiple of 16 + 0 + (b - 5) and (-1 + 0)\/((-2)\/10)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 2:49 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-16)*(-20)\/50?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*k + 51*k + 5 + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 10:28 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -20 - 11 - 6*z + 5*z**2 + 34. What is the smallest common multiple of a(2) and 34?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o + 6. Let g(t) = 7*t + 12. Let m(x) = 3*g(x) - 5*j(x). Let u be -1 + 3\/((-3)\/2). Let i be m(u). Sort 4, i, -3 in descending order.\nAnswer: 4, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 6*i + 2. Let p = -59 - -54. Does 4 divide j(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.829391 rounded to zero decimal places?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4621 at most as big as -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5480232*m**2 + 353175*m wrt m?\nAnswer: -10960464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -218 + 227 - (-5 + -24 + (-1 - 3))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1449 and -26\/3619119.\nAnswer: 10857357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478630.\nAnswer: 2, 5, 23, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 313514401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + 3245\/(-35) - (-4)\/(-14). Let g = n - -530. What are the prime factors of g?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -143 - -3606. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-8)*t**(2\/5)\/t)**39)**(-7) assuming t is positive.\nAnswer: t**(11739\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43\/204 - 5\/17. Let r(t) = t**2 - 6*t - 45. Let y be r(-4). Which is the closest to -0.1? (a) y (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -297*w. Let j(s) be the second derivative of 7*s**4\/12 + 2*s + 479. Give j(f(v)).\nAnswer: 617463*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 920003 or 920044?\nAnswer: 920003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41470661, -41470659, -41470657, -41470655, -41470653, -41470651?\nAnswer: -41470649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ruapxxxaxaxtt. What is prob of picking 2 a?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a kilogram in grams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -31 - -12?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1030 + -1878. Calculate the common denominator of 1\/(-2)*b\/32 and 93\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41418 - 22167. What are the prime factors of y?\nAnswer: 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((-2)\/(-3)*180\/(-400)). Calculate the greatest common divisor of y and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3\/4 (b) 0.5 (c) -50121\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 123151 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 greater than or equal to 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s + 5. Let p be j(0). Suppose 0*v = p*v - 15. Suppose -86 + 20 = -v*y. Solve -m + y = -4*i, m - 2*i - 17 = -5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, g: 2, l: 1, x: 1}. Give prob of sequence gv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + 2. Let z = -8 - -28. What is the greatest common factor of j and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -13 + -4 + 14\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oco when three letters picked without replacement from orqpocpqwcpp.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 212799.5km?\nAnswer: 212799500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 6. Let n(u) = -1. Suppose -2*c + 8 = 6*c. What is c*d(o) + 4*n(o)?\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 3*v**2 + v - 1. Let k be i(3). Let d(l) = 2*l**k - 3*l**2 + 3*l**2. Let o(g) = 5*g. What is o(d(x))?\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 426585600?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*a**3*q**2 + 8*a**3 + 750*a**2*q**3 - 2*a*q**3 + 8079*a*q - 12*a wrt a?\nAnswer: -114*a*q**2 + 48*a + 1500*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 5*f**2 - 5*f - 2. Is i(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3209 (b) 0.3 (c) 30 (d) -0.066 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1776\/(-2220)*((-6)\/8)\/(27\/18). Suppose -1\/5*g**3 - k - 1\/5*g**4 + 3\/5*g**2 + 1\/5*g = 0. Calculate g.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 6*d**2 - d + 6. Calculate the lowest common multiple of u(-6) and (-9 + (-594)\/(-30))\/((-6)\/(-20)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - b**2 + 3*b + 1. Let v be l(-2). Is v*(260 - 3)*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/9198 + -40367\/18396. What is the common denominator of 18\/(-522) + 2343\/(-174) and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1aa2884 (base 12) to base 10\nAnswer: 5686372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3034 + 7*w**3 - 1501 - 1533 - 11*w**3 + 30*w**3.\nAnswer: 26*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123 + -115. Round p to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 3*m - 12. Suppose 5*z + 5*q = -0*q + 15, z - m*q = 8. Let u(w) = 0*w + 5*w - z*w. Let x(a) = -a. Give x(u(v)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 16988320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 3*y - 8, y + 5*y = 3*y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*z**2 - 86*z**2 - 32*z**2 - 176*z**2.\nAnswer: -360*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 12:27 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -4. Let o = 13.9 + -10.9. Put -2, o, d in decreasing order.\nAnswer: o, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-5)*3\/(-4)*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 156*v**3 - 7*v**2 + 12*v + 7. Let o(g) = 106*g**3 - 5*g**2 + 8*g + 5. What is -5*n(x) + 7*o(x)?\nAnswer: -38*x**3 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((0 + sqrt(7))*4)**2 + -2 + (sqrt(28) - sqrt(7)) + (sqrt(7) + -1 + sqrt(7))*6.\nAnswer: 13*sqrt(7) + 664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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 z = 237 - 235. Suppose c + 2*c + 3*f - 48 = 0, z*c = 4*f + 50. Solve -22*t = -c*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80611412 and 92127328?\nAnswer: 644891296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 155*l**2 + 222*l + 10487. Determine j(-154).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40071 divided by 37?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t**2 + 2*t)*(-2*t - 6 + 6) + (6 - 6 - 6*t)*(3*t**2 + t**2 - 3*t**2).\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - 1*sqrt(320))\/((sqrt(250) - sqrt(250)*-2 - sqrt(250)) + sqrt(250) - sqrt(250)) - -3*((sqrt(126)\/sqrt(7))**2 + 2).\nAnswer: -3*sqrt(2)\/10 + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 12064 in decreasing order.\nAnswer: 12064, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 4:04 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -3. Let q = 28 + i. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*a + 14, 3*a - 11 = 3*q - a. Suppose 1 + q = 5*v - 2*y, -1 = -2*v + y. Let f(t) = -8*t + t**3 + 0 + 1 + 4 - 4 - 6*t**v. Give f(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -y**3\/6 - y**2\/2 - 2216*y. Determine d(-19).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -141 in 9, 8, -14, 6\/11?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000420188 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = -u, -j - 1 = -3*u - 4. Let k(a) = -a**3 - a**2 + 8*a - 1. Let q(g) = 16*g**3 + 2*g**2 - 17*g + 1. Let w(m) = 2*k(m) + q(m). What is w(u)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32835 in -3, -4\/5, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -119 - -204. What is the greatest common factor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/9444 and -73\/354150?\nAnswer: 708300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -f - 21 + 77, 286 = -5*a - f. What is the tens digit of -4 + (0 + 4 - a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2. Let z(a) = a + 1. Let n be -2 + 3 - (3 - 0). Let i(d) = d - 2. Let h be i(0). Calculate h*z(s) + n*l(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c8c8 + -a8?\nAnswer: c820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*n + 5 = 57, -2*n = -2. Suppose -o*c + 168 = -172. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -754638*g**2*w**3 - 4*w**3 + 2*w - 4694 wrt g.\nAnswer: -1509276*g*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -75*x**5\/2 - 303*x**4\/8 + 15*x**3\/8 + 9*x**2\/4 = 0. What is x?\nAnswer: -1, -1\/4, 0, 6\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136556993 and 2708.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52959940, 105919885, 158879830, 211839775?\nAnswer: 264799720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(4 + -5) + 4*(-18)\/(-3). Solve s*u = -132 + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -7. Suppose -3*i = -2*h + i + 28, -i = n*h - 13. Let f(t) = -t**3 + t**2 + 180*t - 18. What is the smallest common multiple of h and f(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1687183010 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.23576 hours?\nAnswer: 848.736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -390 divided by 5?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281642?\nAnswer: 2, 53, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k*t**2 - 46*k*t + k + 3*t**2 - 18*t - 111028 with respect to t.\nAnswer: -4*k*t - 46*k + 6*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((2 + -6)\/(-2)). Suppose t*z = -2*z + 64. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2882*p**2 + 3534*p**2 - 44 + 31 in the form t*p + z + j*p**2 and give j.\nAnswer: 652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2833 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -96 + 184 - 18*j**3 + 0*j**3 - 91 - j**2 as d*j**3 + k*j**2 + z*j + g and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29.4 + -1630.4. Let w = 1543.38 + x. Let n = 57 + w. What is n rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/5)\/(p\/p**(-3)*p)*(p**(-1\/4))**(-25\/4))**(2\/45) assuming p is positive.\nAnswer: p**(-307\/1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t - 256 = 54. Sort -1, 7, t.\nAnswer: t, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*q - 6*q + 21*q - 13 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 1\/6*t**3 - 529\/6 + 15\/2*t**2 + 161\/2*t = 0.\nAnswer: -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*g + 19, 3*y - 8*y = 2*g + 13. Let j be (y\/2)\/((-2)\/8). Is 2 a factor of ((-3)\/j)\/(9\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -11\/3*g**3 + 0 - 8*g**2 + 28*g. Differentiate r(y) with respect to y.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwjwwwjwjwwjwwwwjw. Give prob of sequence www.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -11. Suppose -3*x - 3 = -3*n + c, 8 = 2*n + 5*x. Let m be (-2)\/(-8) - (-51)\/n. What is the greatest common factor of m and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 6)*(3 - 1 + 1)*(2*k + 1 - 1)*(0*k + 4*k - 3*k)*(-19*k**2 + k - k).\nAnswer: -456*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-3))\/(3\/18). Suppose 3*p - 310 = -d*j + 153, 4*j + p - 453 = 0. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692943098 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -17*q + 4. Let i(b) = 20*b - 5. Let l(o) = 4*i(o) + 5*t(o). Let w(p) = -35*p**2 - 2 + 2 + 53*p**2 + 81*p**2. Determine w(l(r)).\nAnswer: 2475*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(2\/3)*((i\/i**(-1\/9))\/i)\/i)**(-9\/2)*((i**1)**(-15))**(31\/4) assuming i is positive.\nAnswer: i**(-455\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - j - 884 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**2)**(11\/7)*(((q*q*q**(-2))\/q)\/q)**30 assuming q is positive.\nAnswer: q**(-387\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -4*d + 0*d**5 + 0*d**2 - 1\/6*d**4 - 1\/28*d**8 + 0*d**3 + 0*d**7 + 0 + 0*d**6. Find the third derivative of i(z) wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2 - 530*w - 59200 = 0. Calculate w.\nAnswer: -370, -160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 5*v - 2. Let l be g(4). Let b(d) = 4*d + 4*d + 3*d - 4 + l. Is b(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 1314?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18463660 and 0.06?\nAnswer: -1107819.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4595 a factor of 114750196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -d - 4*d. Let a be (114\/111)\/(-5 + 17). Let f = -3\/37 - a. Is d greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000059557275 to 7 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 a factor of 992640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11044, -25126, -39208, -53290?\n\"Answer: -14082*p + 3038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 11, -2.68, -0.3?\nAnswer: -2.68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -8*f**3 - 3*f**2 + 2*f. Let u(z) = 3*z**3 + z**2 - z. Let p(a) = -2*b(a) - 5*u(a). Let m(c) = 2*c**3 - c**2 - c. Calculate -3*m(h) - 3*p(h).\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*(sqrt(1331) + -1))**2.\nAnswer: -198*sqrt(11) + 11988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 2\/7 (c) 2955\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6653.1978 minutes to days.\nAnswer: 4.62027625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-360)\/(-17820))\/((-8)\/(-44))*-261.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l - l - 2*l + 6*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12723?\nAnswer: 3, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 20?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.25902884 and 38847.\nAnswer: 38845.74097116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 75\/(-2)*12\/(-18). Suppose 5*i = 3*g - 35, 5*g - 70 = 5*i - q. What is the units digit of (i + 1)\/3 - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.16, -2, -5, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 131397 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -455*z + 1816. What is u(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1100011000111100 (base 2) to base 5\nAnswer: -3110443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20584196, -20584198, -20584200, -20584202?\nAnswer: -20584204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(3\/(-1))\/(15\/(-5))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0, 3, -2, -9, -34 in increasing order.\nAnswer: -34, -9, -2, 0, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 6\/27701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15829?\nAnswer: 11, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-365)\/(-15) - 6) + (-2)\/6. Suppose -2 = 2*z - 2*x, 0*x = -3*z - 4*x + y. Solve -z*f = -4*k + 15 + 3, 0 = -2*f - 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 0*x + 0*x + (-x + 0*x + 0*x)*(0*x - 7*x + 6 + 9*x))*(2*x**3 - x**3 + x**3).\nAnswer: -8*x**5 - 12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25570 is divided by 203?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w = 2*k - 49, 2*w = -k + 29. Suppose k = 3*j - 100. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obp when three letters picked without replacement from opvvbvovoovobvvvvvv.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 15*f + 16. Let h be k(14). Suppose -h = 2*v - 4*v. Let o = -1 - -2. What is the remainder when v is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 674657857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6621 (b) -1\/3 (c) 0.2 (d) -26\/9 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 19. Suppose -714 = c*a + 4*a. Let q = a + 51. Sort -3, q, 5, -5 in decreasing order.\nAnswer: 5, q, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 1790*p - 2308*p + 30 - 1241*p.\nAnswer: -5339*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 18. Solve -5*h = -w*q + 34, 2*h = q - 19 + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 294*g - 1205. Let j be d(4). What is the nearest to 0.1 in 0.1, j, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4277, 9647, 14993, 20303, 25565, 30767?\n\"Answer: -2*s**3 + 5384*s - 1105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85797820.\nAnswer: 2, 5, 23, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**4 - 19*t - 2*t**3 - 2*t**2 + 10*t + 1 + 9*t**4 - 5*t**4 to the form k + b*t**3 + m*t**2 + u*t**4 + p*t and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 19. Suppose d = -c - 0. Sort -4, c, 0.\nAnswer: c, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -6*t**2 + 19*t - 5. Let v(h) = 56*h + 63*h - 2 + 59*h - 169*h - 3*h**2. Determine -2*l(c) + 5*v(c).\nAnswer: -3*c**2 + 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -802.59 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + r + 7. Let l be b(0). Solve 0 = l*q - 2*q + 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 11*c**2 - 64*c + 710. Let k be d(11). Let h(s) be the third derivative of s**4\/12 + s**3 + s**2. Determine h(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(3*q**4 - q**4 - 11*q**4 + (2*q + q - q)*(q - q + q**3)).\nAnswer: 7*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 12\/25 of a tonne?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 5*t - 1. Let d(q) be the second derivative of -q**4\/4 + 3*q**3\/2 + 3*q**2\/2 - q - 172. Give 4*d(s) + 7*r(s).\nAnswer: 2*s**2 + s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/5*w**2 + 58\/5*w + 12\/5.\nAnswer: 2*(w + 3)*(9*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 22*k**2. Suppose 0 = 3*n + 2*n - s - 8, -2*n - 5*s + 14 = 0. Let v(t) = 0 + 2*t**n + 0 + 0. Determine r(v(b)).\nAnswer: 88*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.687 - 2.237. What is the nearest to -3 in j, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/(-72)*(-42)\/1. Suppose 2*r - 22 = -2*g - 2*g, 0 = -r + 3*g - n. Is -74*(r - (-65)\/(-10)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3326, -3330, -3336, -3344?\nAnswer: -3354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 39743*i**3 - 29886*i**3 + 652*i**3.\nAnswer: -68977*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/3)*w)\/w**(6\/5))\/((w**(-1\/3)\/w)\/w)**(-49)*(w**5*(w\/(w\/w**(-1\/3)))\/w)**(-22) assuming w is positive.\nAnswer: w**(-2933\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 301873549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -30?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 29*s - 146. Let m be p(-22). Solve 5*l - 23 = -2*k, m*l = 6*l + k + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d*d**6)*d*d*d*d\/(d\/d**(-2\/7))*(d*d\/(d**(-4\/9)*d))\/d*d\/(d*d*d*d**(4\/3)*d)*(d*d*d**(-2\/7)*d**(-6))\/(d*d**1)**(-14) assuming d is positive.\nAnswer: d**(1105\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3713875 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 + (-44)\/2*-2 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37 by -144.\nAnswer: 37\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - w + 3 + 9, -3*o = -w - 16. Suppose o*t - 182 = 62. Is 7 a factor of 14\/63 + t\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3100693 - 3904207. Round q to the nearest one hundred thousand.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1006023*p**3*v**6*x**2 - 115*p**3*x + 2*p**2*v**2*x - 3*p*v*x**2 - 3*v**2 - 3*x**2 wrt v?\nAnswer: -120722760*p**3*v**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/56 and -55\/8416.\nAnswer: 58912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21979482, 21979529, 21979576, 21979623?\n\"Answer: 47*f + 21979435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8237*z**3 + 6*z**2 + z + 4?\nAnswer: -49422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 29684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 107622 (base 10) to base 14\nAnswer: 2b314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**3 - 60*p**2 + 300*p - 30. Give u(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350982?\nAnswer: 2, 3, 17, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 480?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 309 and 1689.\nAnswer: 173967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 78091.07 milliseconds in seconds?\nAnswer: 78.09107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2635\/102)\/31)\/((-10)\/18).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -6784\nAnswer: 20352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14905879.1999842 + 14905886. Let t = 17 - 10.2. Let w = i - t. What is w rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - i. Let h be g(1). What is the smallest value in h, 10, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10390 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 m(i) be the first derivative of 16*i**2 - 198*i - 22. Calculate the remainder when 231 is divided by m(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2474 (b) -2 (c) 0.03 (d) 0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -675\/7 and -95 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4494*o**2 + 4495*o - 1 = 0.\nAnswer: 1\/4494, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttutttttuutt. What is prob of picking 2 u?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155 - 167 + r**3 + 4*r - 2859 - 840 + r**3.\nAnswer: 2*r**3 + 4*r - 4021","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-17)*c)**(-2\/19) assuming c is positive.\nAnswer: c**(32\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.12 + 4.12. Let g = -14 + 14.3. Which is the closest to z? (a) 2\/13 (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/9, 5, 1, -0.069?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*p + 175*p = 102 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1031 + -559. Suppose 0*a = 8*a - l. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 1\/246, 4\/3, -1, -32?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 12:45 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*y**3 + 62*y**3 + 2772*y**2 - 2772*y**2.\nAnswer: 41*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (107 + -108)*-5*(-2 + 3 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -11*l - 14. Give w(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -63089011\nAnswer: 4\/63089011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide (-22770)\/(-594)*141\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -5*w**4\/14 - 116*w**3\/21 - 31*w**2\/7 + 44*w\/7 + 1790. Suppose n(a) = 0. Calculate a.\nAnswer: -11, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1197 - 110.2803. Let c = 110.3033 + d. Let z = -0.089 - c. What is z rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/14 - (-200)\/(-210). Let u = 1\/8 + -5\/8. Which is the fourth smallest value? (a) 5 (b) p (c) u (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**3 - y**3 + 0*y**3)*(0 + 2 + 0)*(-53 + 18 - 19).\nAnswer: -324*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47971894819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**2 + 0 + 6*s**2 + 4 - 2 - 3*s**2 - 2*s to p*s**2 + l*s + f and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (4 - 2) - 2) + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (((sqrt(1872) - (0 + 0 + sqrt(1872))) + sqrt(1872))**2 + 3 + sqrt(1872)*-2 - -2*(1*(1*sqrt(1872) - sqrt(1872)))**2) + 3)*1.\nAnswer: -24*sqrt(13) + 1877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 336*l**3 - 14*l**2 + 11. Let g(y) = 109*y**3 - 5*y**2 + 4. What is -11*g(a) + 4*w(a)?\nAnswer: 145*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g**2 + 4. Let p(d) = 6*d**2 + 5. Let c(u) = 5*n(u) - 4*p(u). Let j(a) be the second derivative of -a**3\/3 + 2*a. What is j(c(h))?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akgkzzakgggk. Give prob of picking 3 g.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-2))\/((24\/32)\/(3\/33))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3131 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: What are the prime factors of 202280634?\nAnswer: 2, 3, 41, 274093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15545.\nAnswer: 5, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176107590 and 11160?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -49999 + 2*r**2 + 1280*r + 49999 + r**3 as d*r**3 + a + y*r + m*r**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j - 28. Let r be c(4). Suppose -131 = -2*m + h, 0 = -r*h + 3*h - 9. Let w = m - 47. Solve 6*g = g - w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 40 + -42b?\nAnswer: -3bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 17*h**8\/56 + 5*h**4\/4 + 7*h. What is the third derivative of q(s) wrt s?\nAnswer: 2040*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4363.\nAnswer: 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1367374 - -1.\nAnswer: 1367375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, p: 3}. What is prob of picking 1 p and 1 n?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.05871 microseconds in seconds?\nAnswer: 0.00008505871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b + 9 = -4*u - 30*b, 2*u = 4*b - 12. Solve -u*l - 3*q = 31, 0 = 3*l + 50*q - 48*q + 22 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in -1.753, -249.7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2134 = 821. Let m = 6889\/7 - p. What is the closest to m in -3\/5, 2, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233, -442, -647, -848?\nAnswer: -1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.24 times 1536\nAnswer: 3440.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**3 + 36*m**2 - 2*m + 43. Let q be a(18). Let k(d) = -d**2 + 9*d - 9. Calculate k(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, 3\/7, -0.3, 0.2, -21 in increasing order.\nAnswer: -21, -0.3, 0.2, 3\/7, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2012201121 (base 3) to base 4\nAnswer: -22220110","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 1 = 3. Let m be 0*t\/(-1)*1. Let f(p) = -p**3 - p**2 + p + 4. Does 4 divide f(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1034?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*h = -1232675 - 549283. List the prime factors of h.\nAnswer: 2, 71, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 3628584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 60\/14 + ((-256)\/(-2240))\/(2\/(-5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2706 + -2328. What is the smallest common multiple of 14 and l?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 1. Let w(d) = d - 7*d**2 + 2 + 8*d**2 - 7*d + d**3. Let a(j) = -v(j) - w(j). Solve a(b) = 0 for b.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r - 3*v + 42 = -10*r, 0 = v - 2. Is r bigger than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58989347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from maaabmraaambmmara. What is prob of sequence bb?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = 4*z. Which is bigger: z or 2\/305?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 284462 to the nearest one thousand.\nAnswer: 284000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21439783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200001221 (base 3) to base 8.\nAnswer: 31566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 81*f**2*k*m**2 + 2786*f**2 - 4*f*m**2 - 6215*k*m**2 - 3*k*m - 3*m**2 - 6*m wrt f?\nAnswer: 162*f*k*m**2 + 5572*f - 4*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2511423 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -214 or -240?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001165779 to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.6 + 12. Let y = c + 6.6. Let z = 14 + -20. What is the second biggest value in y, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -2*i. Suppose 6 = -w + i*w. Solve 2*k + 3*l = 3, -4*k = w*l + 6 - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10096 and 13648?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*p + 34*p - 52*p.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 - 2*b + 3. Let m be a(3). Let w = 40 - m. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*o - 615, 8 = -o - 4*q + 148. Calculate the smallest common multiple of o and 408.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195076 divided by 48769?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 275\/550*(-24)\/(-10). Which is the smallest value? (a) r (b) 0.37 (c) 3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 19.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -179.4 + 179. What is the second biggest value in 1, -4, -2, n, -303?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-27)*d*d\/(d**(-15)\/d)*d assuming d is positive.\nAnswer: d**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 78*x + 7 = 80*x, 15 = -4*c + 3*x + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**3 - 2*d**2 - 1. Let p(z) be the first derivative of -1\/2*z**4 + 4 + 0*z**2 + z + 1\/3*z**3. Determine -4*p(x) - 3*q(x).\nAnswer: -x**3 + 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + -3)*1\/(-2). Suppose -j - j = x*k + 7, 2*j + 5*k + 13 = 0. Is j >= -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 200825?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.47 + 0.87. Let o(a) = a**2 + 8*a + 7. Let x be o(-7). Suppose x = 2*f - 0*f. What is the nearest to f in -3\/2, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*u**2 + 5*u**2 + 10*u**2)*(0 + 3 - 5 + (-1 - 2 - 1)*(-2 + 2 - 2)).\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 12*b = 7. Solve 0 = -b*h + 10*h - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*v - 1\/6*v**2 + 0.\nAnswer: -v*(v - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -161, -32, -5, 3, 1 in decreasing order.\nAnswer: 3, 2, 1, -5, -32, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -692, -1383, -2074, -2765?\n\"Answer: -691*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 13*d**2 - 4*d - 24. Let s be h(-13). Suppose s*m - 756 = 26*m. Is 29 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 28 + 7 + 7 + 3*h. Is 9 a factor of l(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1464960*d**5 - 355*d - 1371 wrt d?\nAnswer: 29299200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -5928983?\nAnswer: -237159.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 195*c**5 + 2*c**4 - 6068*c**3 + 447*c**2 + 667410*c wrt c?\nAnswer: 11700*c**2 + 48*c - 36408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 135, 288, 493, 744, 1035, 1360?\nAnswer: 1713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/19614592 and -59\/196145920.\nAnswer: 196145920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7*w + 102. Let j(l) = 2*l - 34. Let b(x) = 17*j(x) + 6*p(x). Is b(-12) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1035 - 1034.732. Which is the closest to n? (a) 5 (b) -0.3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gpprrhghqorqhoho. What is prob of picking 2 p and 2 o?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 153*o**2 - 4435*o - 376. Determine w(25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*x + 16, 10 = -5*s + 3*x - 8*x. Let f be (2\/4)\/(3\/114). Suppose -5 = -s*q + f. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = 21*z - 8 - 24 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/4 of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/328?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19595988 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 6*h**2 - h + 5. Let w be q(6). Let a be 55\/(-30) + w\/6. Is -159*(1 - a)\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108 - (-36 + 43)) + 7.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -745\/2 - -403. Let m = 50 - 52. What is the common denominator of 3093\/(-132) + m - (-2)\/11 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7905 divided by -5\nAnswer: -1581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/3)\/(5\/5)*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 9*m + 49 + 249 = 0, -2*f - 4*m + 552 = 0. Calculate the highest common divisor of f and 800.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 46*q**3 + 2*q**2 - 4*q + 3. Is m(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.7 + 1.3. Let z = f + 0.1. Which is the closest to 0? (a) 4\/7 (b) z (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6*q = -12. Let p = 56 - 278\/5. Let a be (2\/7)\/(45\/21). Sort p, q, a in ascending order.\nAnswer: q, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + -16. Let b = u + 23.2. Suppose -8*n - 7 = -23. What is the nearest to n in 0, b, 0.06?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1947 - 471. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -489, -1428, -3199, -6078, -10341?\nAnswer: -16264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 19632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**4 + 233810*w**3 - 2743149780*w**2 + 228797118190*w - 226054202215 = 0.\nAnswer: 1, 83, 23339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 18. Let r(d) = d + 2. Let m be r(2). Suppose -m*n = -2*g - 508, -u*n - 2*g + 150 = -467. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5710 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/40 + (-10)\/80?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0.2. Let g = p + -2. Let q = 202\/3 + -68. Which is the biggest value? (a) -5 (b) q (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 16 and -944742.\nAnswer: -944726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 121080 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 38*y**2 - 100*y + 5360. What is t(39)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40274420 minus 13677?\nAnswer: -40288097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 16*v**2 + v + 2. Let u = 12 + -15. Is y(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13516.\nAnswer: 2, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 5) in base 10?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a milligram in micrograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 100*j = -41*j. Sort -4, j, -4\/49, 3.\nAnswer: -4, -4\/49, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 581340*u - 10*u**2 - 1162548*u + 581208*u.\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -263, -253, -245, -239, -235, -233, -233?\n\"Answer: -p**2 + 13*p - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5 + 398128*p**4 - 2786857*p**3 + 3981210*p**2 = 0. Calculate p.\nAnswer: 0, 2, 5, 398121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28 and 309075?\nAnswer: -8654100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/22, -0.5, 739, -0.3 in decreasing order.\nAnswer: 739, 1\/22, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 0*f - 2 - f + 3*f. Let s(z) be the first derivative of 5*z**2 - 6*z - 2. Let l(t) = 10*t - 7. Let i(p) = 5*l(p) - 4*s(p). Give -2*i(k) + 11*m(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 2*z**2 - 1701*z - 5093. Determine a(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 381601 and 1214185?\nAnswer: 13356035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74221 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 38*x**2 - 1541*x - 10408. Give u(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oob when three letters picked without replacement from bboiokiobbioiooii.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1389\/4*n + 643107\/8 + 3\/8*n**2 = 0.\nAnswer: -463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 7:10 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72.9 + -24.1. Let w = x + 97.1. Which is the nearest to w? (a) -0.3 (b) 2\/13 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39099 and 49350?\nAnswer: 643178550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 - 7*j - 13. Let n be h(-2). Let f(y) = 8*y**2 + 2. Let t be f(-2). Calculate the highest common divisor of n and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0748 - -14761999417.\nAnswer: 14761999417.0748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1008)\/(-15))\/28)\/(((-3)\/(-10))\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -1898*g**3\/3 + 175*g**2\/2 - g - 1079. Find the second derivative of m(z) wrt z.\nAnswer: -3796","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16748 divided by 24?\nAnswer: 4187\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -13 - (8 + 5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -782\/8057, 0, -4, -2\/13, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((420\/(-49))\/(-5))\/(3\/(-42)). Let p(a) = -4*a - 45. Let w be p(f). Calculate the highest common divisor of 561 and w.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeceqcqccqhcececqq. What is prob of picking 1 e and 2 q?\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, y: 4, j: 2, q: 1, u: 3}. Give prob of picking 3 y.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012207 rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (12 + 4 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - -76) + (11 - -8 - -3)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 8:38 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -193627 + 96813 - b**2 + 96812 + 1501*b as w*b + f*b**2 + g and give w.\nAnswer: 1501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 4 + 23. Let x(w) = -w**3 - w**2 - 3*w - 2. Let v be x(-2). Suppose 10 - v = 2*l. Solve -2*f + 6 = 5*z, -4*z + g = -5*f + l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 2*h**2 - 2*h - 5. Give k(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0) + -9 - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 625, 924, 1807, 3556, 6453, 10780?\n\"Answer: 47*t**3 + 10*t**2 - 60*t + 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2. Let s(u) = 7657*u**2. Determine s(m(r)).\nAnswer: 68913*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 9*n**2 - 33*n - 7. Let z be i(4). Solve -6*c + 19 = -z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.47 - 0.8. Let a = 19270.352 + -19270.02200052. Let z = a + s. Round z to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - d**2 - 15 + 2 + 2*d**3 + 13*d**4 + 19 to the form y*d**3 + t*d + u + g*d**4 + l*d**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186 and 2914?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 1403?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12419808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlcshlhlllclhhcls. Give prob of sequence cll.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -1 + 7. Let w = -2.38 - -2.68. What is the closest to 2 in w, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 297, -89, 15, 4 in descending order.\nAnswer: 297, 15, 4, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + (6*sqrt(17)*2 + (sqrt(85) + sqrt(85) + 1*sqrt(85) - sqrt(85))\/sqrt(5) - (sqrt(17) + 1 + (sqrt(17) + -1)**2 - ((-6*sqrt(153))**2 - sqrt(17))))).\nAnswer: -16479 - 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23444196.\nAnswer: 2, 3, 383, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k + 7 + 43. Let c(j) = -4*j**2 - 1 + 13*j**2 - 4 - 3*j. Let q(h) = 5*h**2 - 2*h - 3. Give k*q(b) + 3*c(b).\nAnswer: 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2891181 to the nearest integer?\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 2:14 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-6))\/n)**27*n*n**(-1)*n**10 assuming n is positive.\nAnswer: n**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 4*s = -30, -1779*s - 4 = -2*y - 1780*s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3741 + 82281\/22. Let h = -372\/13 + 1933\/78. Calculate the common denominator of h and x.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8830508 rounded to three decimal places?\nAnswer: 0.883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 12:59 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/15*-2 + (-22)\/88*(-4004)\/55\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40047 is divided by 381.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/15264 and 11\/1908.\nAnswer: 15264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 14 = -3*t + 20, 3 = t. Suppose -10 = b*w, 4*k - 2*w = -5*w + 26. Let l = k - 5. Solve 4*i = 13 + l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**5*t))**(-12\/7)*(t*t*t\/(t**(-12)\/t*t)*t*t)\/(t\/(t*t**16*t*t)) assuming t is positive.\nAnswer: t**(305\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19\/86, -132, -0.015.\nAnswer: -132, -0.015, 19\/86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -6 + (-1 - (6 + 1) - -3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*r + 20 = 0, -37*r + 24 = -3*a - 40*r. Suppose -4 = 4*o + 5*u + 7, 0 = -o - u - 3. Let d = o - a. Solve d*n + n + 1 = 2*i, -2*n = -3*i + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**2 + 3 - 14 + 21*o + 6 - o**2 + 3*o as y + r*o**2 + i*o and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -13) + (-9 - -9 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.25872 milliseconds to hours.\nAnswer: 0.0000184052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c + a9300?\nAnswer: a930c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14555.11 rounded to the nearest 100?\nAnswer: 14600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q - 11. Determine c(11).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -c + 5, 15 = -2*h + 153*c - 150*c for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*g**2 + 10*g + 196*g**3 + 96*g**3 - 290*g**3 - 5*g**2 to a*g**2 + k + v*g + w*g**3 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 629 and 2057.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2237255*a. Let t(v) = -54*v**2. Determine s(t(b)).\nAnswer: -120811770*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 4*w - 44, 5*w = -382*y - 390*y + 770*y - 17 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d = 0. Suppose 0*v - 3*v + 18 = d. Solve 0 - v = -2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/13 (b) 4 (c) 1.1 (d) 5 (e) 2.2 (f) 2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 11 + 19. Let c = 40 + d. Let w be c\/((3 - 4) + 2). Calculate the highest common factor of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 31 = 29. Solve -10*h - d = -15*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**3 + 81860*d**2 - 2706665*d + 2624800 = 0.\nAnswer: -16405, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7*r + 1574 - 1567 + 6*r. Let y be q(1). What is the third derivative of 7*w**5 + y*w**5 + 4*w**2 + w**2 wrt w?\nAnswer: 1620*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -24\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19075?\nAnswer: 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 8 = 2*p, -3*s - 2*p + 26 = 0. Let n(j) = j**2 - 4*j - 4. What is the least common multiple of n(s) and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2001101011 (base 3) to base 15\nAnswer: -be64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -150869300 rounded to the nearest 100000?\nAnswer: -150900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - b + b)*(-5*b + 0*b + 3*b) + 12*b**2 - 22 + 40 - 15.\nAnswer: 16*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 9:42 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 2) to base 5\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 10) to base 6.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + sqrt(2736) + -1 - sqrt(190)\/(-1*sqrt(10))) + (sqrt(114)\/(sqrt(6)*-2) - (sqrt(19) + (0 + sqrt(19))*-2)**2).\nAnswer: -20 + 49*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*x**2 - x**2 - 8*x**2)*(836 - 1657 + 998 + (-5 + 1 + 3)*(-1 + 1 + 1)) to d*x + n + b*x**2 and give b.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -12. Suppose -54*o + 57*o + 63 = x. Does 14 divide o*(-2)\/8*(-160)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33\/4 - -8. What is the smallest value in -19, a, -1\/2?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 6 = 6. Suppose 4*r = 16*r - 48. What is the lowest common multiple of r and (3 - 2)\/((-1)\/v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c + 2*k + 26, -c + k - 2 = 0. Calculate the remainder when (-5)\/c + 3 + 748\/24 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**4\/7 - 26*f**3\/7 - 58*f**2\/7 + 26*f\/7 + 60\/7 = 0.\nAnswer: -10, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from hhxhhxhh?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d - 298 - 3552. Let a = d - -1176. Suppose 629 = 5*k - a. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 4\/3559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 164.26 - 4.26. Let y = w + -104. Which is greater: y or -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 28 = -5*n - 2*c, -5*n + 2*c + 48 = 0. Suppose -4*b = -4*l + 72, -l + 2*b + 2 = -19. Suppose 0 = j - l + 12. Solve -k + n = -j*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from {g: 2, m: 3, w: 4, f: 1, z: 2, a: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -1\/10 (c) 0.4 (d) 5\/9 (e) -16 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 42 = 30. Let g = j - -13. Solve 3*s + 13 = g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 100 - 115 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3 - 5 = 0. Suppose -s*v + 0*v = -200412. Let i = v - 820103. What is i rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/30 and 121\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljtjljfvjffjft. What is prob of sequence vj?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0. Let a = -16 - -16. Let f = h + a. Solve 4 = s + p, 3*s - 4*p + 1 = -f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (8 - (0 + -4) - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (22\/44)\/((-2)\/(-12)). Let v be (-10)\/(-1 + -4) + n. Suppose 0 = s + 2*y + 5 - 0, -y = -3*s + 13. Solve -o = -3*l - 5*o + 6, v*l = -s*o - 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -6, -801 in decreasing order.\nAnswer: 1, -1, -6, -801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.9, -2\/7, -3\/8, 67, -666?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4083 + -9013. Is n less than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2)*(6 + -4)\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/30489 - 1798466\/11738265. Let o = 1\/35 - u. Does o = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 + 0)*122\/(-4)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i. Suppose 0*o + 2*k - 18 = -4*o, -2*o + 24 = 4*k. Let a(c) = c**2 - 6*c**2 + c**o. Calculate a(n(v)).\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24695 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 25 - 7 = 0. Let d be (c - (6 + -5))*-3. Suppose 3*g - 4*r - 48 = -g, 5*g + 4*r = 42. Solve a + g = 5*u - 5, 0 = -4*u - a + d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 bigger than 402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22650024 a multiple of 657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 1002321?\nAnswer: -1002332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 251\/1540 - 1\/77. Is 1 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 64\/24 + 56\/(-84). Let v(x) be the second derivative of 0*x**3 - 1\/12*x**4 + 0 + 15*x + 0*x**w. Let r(p) = 10*p**2. Calculate r(v(k)).\nAnswer: 10*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + z + 4*z + 2202 = 0, 2*z - 6 = 0. Let h = -500 - x. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2996 + 2995.995778. What is q rounded to four decimal places?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 + (3 - (-3)\/(12\/(-8))) is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 14*m - 37. Let t be k(7). Suppose -10*h + 4*w - 330 = -t*h, 335 = 2*h + 3*w. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - z + 51, -77*h - 4*z = -79*h + 20. Calculate the remainder when 70 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 1 = -f. Let z be 1\/2*2 - f. Suppose 3*o - 30 = -z*o. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 1. Let m(w) = -2*w**3 - w**2 + 1. Let z be m(g). Solve z*h - 4*h + 2 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2310 - 1364. Does 25 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 444 and 172.\nAnswer: 19092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 69*b**2 + 413*b - 6. Let m be h(-6). Suppose 8*f - 35 = 3*f + 5*j, 5*f + 5 = -3*j. Solve 3*w - 4 = f*l - 1, 5*l + 3*w + 18 = m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-5*((sqrt(66)*3 + sqrt(66) + sqrt(66))*6 + sqrt(66)))\/((sqrt(2304) - -2*sqrt(2304))\/(sqrt(6)*2*-5))*2.\nAnswer: 3875*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 934471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1)*w**2*(w**1*w)**(-19) assuming w is positive.\nAnswer: w**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -344 + 311?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 189244189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 0)*(2*m + 2 - 2) + 0*m + 3*m - m - 435*m - 673*m + 926*m as q*m + v and give q.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 114*r. Let u(c) = -60466*c**2. Calculate x(u(a)).\nAnswer: -6893124*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -330*d - 4182. Let k be t(-14). Solve 58*p = -26 - k for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30075714?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1734*v - 565 = -31777. Let x = 0 + 5. Solve -x*k + v = 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 - -480188?\nAnswer: 480221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19 and 35.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2cebae (base 16) in base 5?\nAnswer: 1223201133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {k: 2, a: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5023 - 3478. Let i = 23234\/15 - p. Find the common denominator of 77\/156 and i.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/(-3)*(190\/(-56) + (-3688)\/(-3227))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -344 + -205?\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -3*c**5\/5 + 31*c**4\/4 - 172*c**3\/3 - c**2 - 339. Find the third derivative of w(x) wrt x.\nAnswer: -72*x + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 137 - 84. What is the tens digit of 2 + 0 - (18 - o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 11 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 8)*(-3)\/12. Let f = g - -12. Let p be (-90)\/(-21) + (-4)\/f. Solve 5*j + b = -3 - 20, 2*b - 10 = p*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69705165 to the power of 1\/2, to the nearest integer?\nAnswer: 8349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 56 - -65f?\nAnswer: 6b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p. Suppose 6 = -2*b + 18. Suppose 0 = -3*i + i + b. Let y(a) = -a**2 - i*a + 3*a. Calculate y(s(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(7\/4)*u**(-1\/5)\/u*(u*u**(-4))\/u**(-2) assuming u is positive.\nAnswer: u**(11\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**41*a**12)**23)**(2\/9) assuming a is positive.\nAnswer: a**(2438\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 891705 to the nearest integer?\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23871*r**3 + 4443*r**2.\nAnswer: 143226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -664*c + 622*c + 75992 = 1246*c for c.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 11 = -7*k - 5*z, 4*k - 2*z - 18 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -401*f**3\/3 + 1307*f**2\/2 + 1070*f. Differentiate x(y) with respect to y.\nAnswer: -802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -105466512 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 s when three letters picked without replacement from {i: 5, z: 4, k: 3, s: 7}?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2592\/588841 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 - 58 + 2*k + 126.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 1. Let i(n) = n - 1. Let c = 15 + -19. Calculate c*z(w) + 5*i(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/13))**(-1\/46))**(2\/63) assuming q is positive.\nAnswer: q**(-2\/18837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 0) + (-65 + (-42993)\/(-663))\/(2\/(-64)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z\/((z*(z\/(z**20*z))\/z)\/z*z))*z**(-2\/7)\/z*z**20\/z**(1\/10))**(-15) assuming z is positive.\nAnswer: z**(291\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence smsm when four letters picked without replacement from mmmmmmmmmmmsmmmmms.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -4, -3\/5, 0.051?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*53\/(-265)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 30 - -13 - 10.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4948 * 40606\nAnswer: 200918488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 + y**2 + 17*y - 41. Let f be z(7). Is 815 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 16*o + 18. Let n be q(15). What is the greatest common factor of 33 and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257582855669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 4*j**2 - 4*j. Let u be l(3). Let w be (-1)\/(-2)*4\/(-2). Let h be w\/4 + 3 + u. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2274*k**3*r**2 - 78*k**3*r - 6*k**2*r - 2*k*r - 1914*r**2 + 2*r - 9 wrt k?\nAnswer: 13644*r**2 - 468*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004845 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 72506.73 years in decades?\nAnswer: 7250.673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**2 - 6814*w - 3503312 = 0.\nAnswer: -2776, -631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25.07 + -8.03. Let u = v + 31.9. Is 1 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**11)\/(i\/(i\/i**(-2\/11)*i*i)*i))**(7\/5))**(-17))**(3\/4) assuming i is positive.\nAnswer: i**(-10353\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.620000546 - -6.62. What is x rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11230 (base 7) to base 10\nAnswer: -2863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 93, 144, 195?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express u - 21957*u**2 - 2*u + 26864*u**2 as g*u**2 + r*u + k and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -5, -2\/29, 2, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53218162*z**4 - z**2 + 1792716*z.\nAnswer: -1277235888*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + 35. Calculate the greatest common factor of b and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/15, -6.3.\nAnswer: -6.3, -2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 29\/5 of a meter?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 + 2*q**2 + 6*q**2.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25683.\nAnswer: 3, 7, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(-22))\/((-27702)\/(-2736)).\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1.3. Let i = 1045 - 962. Let f = i + -81. What is the fourth smallest value in m, -2, 0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2260005 or 2260007?\nAnswer: 2260007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2217890?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 11:42 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -28. Let k(d) be the first derivative of -d**2\/2 - d - 35. What are the prime factors of k(c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 10:21 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 5)*3\/18*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/56)\/(6\/8) + (99 - 96)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + (18 - (21 + -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 105 + k**2 - 101 + 0*k**2 - 7*k. Calculate the remainder when 23 is divided by c(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1529, 6091, 13695, 24335, 38005, 54699, 74411?\nAnswer: 97135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3))**(6\/11)*b**(1\/15)\/(b\/((b\/b**(2\/13)*b)\/b)*b*b*b) assuming b is positive.\nAnswer: b**(-10132\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 1:44 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 10, 17 in decreasing order.\nAnswer: 17, 10, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 1235278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/12*64\/(-80)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-63)*(-3388)\/(-7260).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**3 - 78224*z**2 + 1330246*z - 5478060 = 0.\nAnswer: -39129, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 1. Let k(b) = -7*b + 2. Let s(w) = 15*w - 4. Let j(p) = 10*k(p) + 4*s(p). Let a(g) = j(g) + 3*l(g). What is the tens digit of a(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -6*r + 5*t + 8, 5*t = -3*r - 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*o - 1280 = -s, 5*o + 628 = 2*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 17*w**2. Let a(y) = -2*y**2 - 154*y - 23. Determine a(f(l)).\nAnswer: -578*l**4 - 2618*l**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*o + 158 = 6*h, -5*h - 5*o = -330. Calculate the lowest common multiple of 8 and -1*(-6)\/3 + h + -7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 m, 1 u, and 1 v when four letters picked without replacement from mmlriiiuvviimv?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -10, -81, 4 in increasing order.\nAnswer: -81, -10, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 2. Let a = -460.56 + 460.6. Is a not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-1 + 75 + 6 + -16)) + -22?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(6\/13)\/(i\/(i\/(i*i**(-4))*i)))**(-13)*((i*(i*i*i**(1\/3)*i)\/i)**(-42\/5))**(7\/2) assuming i is positive.\nAnswer: i**(-156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**2\/2 + 8*g + 8. Does 4 divide w(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 5. Suppose -3*h + 2 = -2*h. Let y(q) = h - 2 + 1 + 0. Give 15*y(p) - 3*z(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -0.3. Let c = -0.2 + 0. Let r = 0.09 + 2.91. What is the closest to c in a, r, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.6. Let a = -3.3 + 3. Let q = a + l. Sort q, 4, -2\/9 in ascending order.\nAnswer: -2\/9, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -9119*k**3 - 30*k**2 + k. Let p(l) = 4559*l**3 + 18*l**2 - l. Give -5*p(u) - 3*y(u).\nAnswer: 4562*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -114 + 108. Suppose 0*r + 2*r = -4, 0 = -3*z - 2*r + 23. Let f be (-8 - m)\/(z*-1). Is -5 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 4:45 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 9*b**2 + b + 4. Give y(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3)*(-2*h**5 - 2*h**4 + 2*h**4) + 2*h**5 + 55*h**4 - 7*h - 55*h**4 + 0*h**3 + 0*h**3 + 3*h**5.\nAnswer: -h**5 - 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/8 - 13173*k\/4 + 6585.\nAnswer: 3*(k - 8780)*(k - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.998 - -0.002. Let h(o) = 4*o - 1. Let q be h(1). Which is the nearest to 6? (a) s (b) q (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u**2 + 28*u - 2. Let h(g) = g**3 - 7*g**2 - 8*g + 5. Let z be h(8). Let q be j(z). Sort q, -3, -2.\nAnswer: q, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -578.2192 rounded to zero dps?\nAnswer: -578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from ppppppadrdnpnrp.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 5:49 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/1497 and -55\/278589.\nAnswer: 139015911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 12*v + 31. Let p(r) = -2*r**2 - 12*r + 31. Let i(h) = 2*p(h) - 3*w(h). Let y be i(9). Is (-2)\/y*4*3945\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.05995 (c) -2\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 723 at most as big as 723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**3\/6 - 101*g**2 - 20402*g - 672. Solve l(y) = 0 for y.\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.32 - -0.32000105. What is z rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24432 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 10:43 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 24. Suppose -4*g + l = 2*w - 3*w, 4*g - 23 = 3*w. What is the smallest common multiple of (-12)\/(-2)*(-20)\/w and 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 63191 (b) 0.08 (c) -150\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 - 72.92. Let v = o - 0.08. Let g = 1 - 1. Which is the nearest to g? (a) -2 (b) v (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + z + 1 = -2*t, 0 = -4*t + 3*z + 3. Suppose 2*g - 196 = -t*g. Suppose -5*j = -2*q - g, -40 = -j - j + q. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 2*h**2 - 7*h**4)*(-3 - 3 + 5)*(-335*h - 176*h - 445*h).\nAnswer: -6692*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/28)\/(-3*3\/(-126)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.7726837 rounded to 3 decimal places?\nAnswer: 77.773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-1 - sqrt(108))**2*-2.\nAnswer: -864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2232 (base 4) to base 12.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1310 - 774. What is the highest common divisor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 + (-21)\/49 + (-18)\/7. Factor 51 - 21 - k*n**4 + 40*n**3 + 105 - 90*n**2.\nAnswer: -5*(n - 3)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 19 = -46 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -m + 4*m - 2*m as g*m + t and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*f - 2*f - 18 + 90 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -15*b**3 - 7*b**2 + 12*b. Let f(t) = -5*t**3 - 2*t**2 + 4*t. What is -7*f(g) + 2*o(g)?\nAnswer: 5*g**3 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w + 23. Let q be r(6). Suppose 99 = -49*a + 344. Calculate the highest common factor of a and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5\/19, -0.4, -70135\/8, 0.1 in increasing order.\nAnswer: -70135\/8, -0.4, -5\/19, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 5:28 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.9 + -13. Let q = -74 + 72. Which is the nearest to q? (a) -4 (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*w, 2*w + 2 + 7 = 3*m. Suppose -151 - 9 = -m*z. What is the remainder when z is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 161358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*i - 27*i**2 + 6*i**2 - 12*i + 43 as q*i**2 + b + v*i and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.314 + -0.31400412. Round o to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.18561 weeks to days.\nAnswer: 337.29927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 2579700*z**2 - 831807494784*z + 31612409998336.\nAnswer: -2*(z - 38)*(z + 644944)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2060*s**2 - 4106*s**2 + 5*s - 2 + 2048*s**2 + 4*s**3. Let f(u) = 16*u**3 + 9*u**2 + 21*u - 9. What is 2*f(h) - 9*l(h)?\nAnswer: -4*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*z**2 - 92*z**2 + 79*z**2 - 88*z**2.\nAnswer: -157*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/1244899813?\nAnswer: -4\/1244899813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 101, -5\/2, -5, 1\/8, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91 - 87. Suppose 0 = -o*q + 10 + 10, -70 = -5*c - 2*q. Solve 0 = 5*t - 3*f - 7, 3*t - 7*t + c = -4*f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v**3 + 2843251*v**2 - 812358*v = 0.\nAnswer: -406179, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.498, -5, -4, 2\/15 in ascending order.\nAnswer: -5, -4, 2\/15, 1.498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37)\/((-5957)\/391)*14.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - 32885448*p**2 - 65770899*p - 32885450.\nAnswer: (p - 32885450)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 13040 = -2*u, -u - 6*i + 7*i + 6523 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by -851.\nAnswer: -27\/851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 + 3*g + 4. Let f = 93 + -96. Calculate t(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-568)\/(-71)*(-1)\/(-14). Let k = -7 + 9. Which is the nearest to 0? (a) 0.2 (b) 0.5 (c) h (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 + 5.6. Let a(r) = -r**2 + 13. Let g be a(-6). Let h be (g\/(-92))\/(2\/10). Sort t, h, -2 in ascending order.\nAnswer: -2, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/3)*k)**(-2\/31)\/(k\/(k\/k**(1\/4))*k)**(7\/6) assuming k is positive.\nAnswer: k**(-367\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -13649\/143?\nAnswer: -13649\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8090 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, 4, -35 in ascending order.\nAnswer: -35, 4, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - 23 - 32) + 12 - -26.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-41))**27\/(w**(-2))**(-35))**(-3\/16) assuming w is positive.\nAnswer: w**(3531\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*u = -238, 4*d - 43 - 423 = 2*u. Suppose 3514 = d*s - 112*s. Let j(g) = -1757 + s - 2*g. Let f(q) = 52*q**2 + 2*q. What is j(f(n))?\nAnswer: -104*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 13 = -5*d. Suppose -176*w + 179*w - 54 = 0. Solve -3*c - 16 = 2*r, -d*c + 0*r - 2*r - w = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*t - 49580 = 68*t. List the prime factors of t.\nAnswer: 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieceexxixx. What is prob of picking 3 e?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -28*z**2 - 29*z**2 + 86*z**2 - 1 - 30*z**2. What is i(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2181.\nAnswer: 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6109 (b) -3 (c) -275 (d) 0.02 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -12*v**3 + 15*v**2 + 15*v + 15. Let s(c) = -2*c**2 + c + 6. Let n be s(-3). Let b(h) = -3*h**3 + 4*h**2 + 4*h + 4. Calculate n*b(w) + 4*i(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*3222.\nAnswer: -9666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 2. Let k be (-5*1)\/(121\/11 + -12). Which is the smallest value? (a) -0.08 (b) -2\/3 (c) s (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42\/34327805 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.78 + 3.4. Let g = 2.380002002 + x. What is g rounded to 7 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**5\/60 - 7*w**4\/24 + w**3 - 2*w**2. What is the least common multiple of 18 and m(7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -123*h - 134*h + 6*h**2 + 374*h - 117*h. Let p(w) = w + 459. Give q(p(m)).\nAnswer: 6*m**2 + 5508*m + 1264086","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6459 = 5*g + 3*x, -4*g + 5874 = -4*x + 694. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(19))*5 - (sqrt(1216) + -1 + sqrt(1216) - sqrt(19)))**2.\nAnswer: -20*sqrt(19) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5 - 74*u**4 + 272*u**3 - 264*u**2.\nAnswer: 2*u**2*(u - 33)*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 133.7599 millilitres in litres?\nAnswer: 0.1337599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ecyt when four letters picked without replacement from {y: 1, t: 1, k: 2, c: 1, e: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**5 + 12216*x**4 + 3647058*x**3 - 20343090396*x**2 + 121958751267*x - 182887901028 = 0.\nAnswer: -2557, 3, 1036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**3 + 6*a**2 - 4*a - 3. Let t(i) = i**2. Let v(o) = q(o) - 5*t(o). Let n(l) = -4*l**3 - l**2 + 7*l + 5. What is 3*n(m) + 5*v(m)?\nAnswer: -2*m**3 + 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-151455)\/(-13680) + -11 + (-1)\/16. Which is bigger: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 302484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-35)\/(-2)*2*3. What is the remainder when (n\/(-9))\/((-2)\/6) is divided by (-8)\/(-3)*(-18)\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32709 - -32701. Which is the closest to 0? (a) 72 (b) 0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + k)*(-475*k**2 + 278*k**2 - 327*k**2) to g*k**2 + d*k**3 + s + w*k and give d.\nAnswer: -524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -251 - 0.3.\nAnswer: -251.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-4 - 18) - (-19 + 117)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 4:40 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -16. Let y = n + 1. Let r = 9.5 + y. Which is the second biggest value? (a) -1 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1675\/4 - 3*5\/(-60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a + 5*b = -19, 3*a = -2*b - 31. Let i be 204\/(-26) + 2\/a. What is the lowest common multiple of 2\/(-4)*1*i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 52*y - 140. Let h be r(20). Suppose 5*w - 7*a - h = -9*a, a + 369 = 2*w. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 + -6. Let i = m - -70. Is 7044\/i*(-2)\/(-3) + 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10758277?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g - 7*g + 2*g. Let a be n(-1). Suppose 0 = -5*t - 5*c - 10, a*t - 6*t + 6 = -3*c. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -1 + 3 - 2*n**3 - 2*n - n**2 + 4*n + 1. Let q(s) = -6*s**3 - 4*s**2 + 7*s + 10. Let i be 0 + 2\/(2 - 1). Determine i*q(a) - 7*f(a).\nAnswer: 2*a**3 - a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*x = 4*b, 3*x = b. Let l be (26\/2 - b) + -2. Let v = l + -16. Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - -1*sqrt(700)) + -4 - (5 + sqrt(700) + 1 + sqrt(700)) - (-2 + (3 + sqrt(700))*5))**2.\nAnswer: 2300*sqrt(7) + 18029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*r + 4847 + 13897, -5*i + 31248 = -4*r. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191008 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-24) + 79097\/184. What is the highest common factor of 50 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67.006 + -0.006. Let l = v + -66.9999971. Round l to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 103517 - -74?\nAnswer: 103613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*11778788.\nAnswer: 4711515.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (106*-1)\/(-7 + 5). Suppose 0*a + a = h. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09 - 30.09. Let y = l - -34. Do 2 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 - 8*w + 52. What is the tens digit of h(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1883 + -1878. What is the third biggest value in -2, -0.223, b, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117)*-1)**2) + (sqrt(624) - sqrt(39))\/sqrt(3).\nAnswer: -117 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/400*(-1)\/(-2)*5.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + (sqrt(2448) - (-2*sqrt(2448) + -4))**2.\nAnswer: 288*sqrt(17) + 22048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14322*j + 5984*j - 9119*j + (4*j + 0*j - 5*j)*(-3 - 2 + 4) + 0*j - j - j to the form y + i*j and give i.\nAnswer: 11186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 11. Calculate the smallest common multiple of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 o when three letters picked without replacement from {o: 4, i: 3, w: 7}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -24 (b) 3\/4 (c) 7\/13 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -466 = 10*k - 125*k + 454. Let l be 3 + 3*1\/3. Put l, -3, k in decreasing order.\nAnswer: k, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7046.893ml in litres?\nAnswer: 7.046893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512 is divided by 101?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 10) in base 12?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k. Let v(g) = 4*g**2 - 3*g - 15. Let l be v(-2). Let y(i) = 3*i + 2. Let r(f) = 2*f - 1. Let h(b) = -3*r(b) - y(b). What is l*n(t) + 4*h(t)?\nAnswer: -t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 83806.551 from -0.117233.\nAnswer: -83806.668233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 66 + 26 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5000\/(-1875) + (-4321972)\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3)*(-7*k**2 + 3*k**2 - 5*k**2).\nAnswer: 27*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 756?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 2 - (-3 + 5). Let c(s) be the first derivative of -149*s**2\/2 + 3*s - 234. What are the prime factors of c(z)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-28)\/p)\/(p**12*p))**28 assuming p is positive.\nAnswer: p**(-1176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*a**2 - 768 - 32*a.\nAnswer: -(a + 48)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -2. Suppose 0*j + 63 = j. What is the highest common divisor of u and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 6*s - 4. Let h(z) be the second derivative of -z**5\/20 + z**4\/3 - 4*z**2 + 9*z. Let j be h(4). What is i(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2168.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(95)*-6)\/sqrt(5).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 - -2035033?\nAnswer: 2035101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*c = 2*c + 56, 2*h + 23 = -c. Let g be (4\/(-8))\/((-3)\/h). What is the tens digit of (-3 - (g + 2)) + 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*n**2 - 143 + 143 + 2*n.\nAnswer: 112*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5590\/17 - 329. Let g = b + -30\/119. Suppose 6*i - 3*i = 0. Which is bigger: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**5 - 20*x**4 - 310*x**3 + 2100*x**2 - 3375*x = 0. Calculate x.\nAnswer: -9, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*c - 71*c + 1222. What is the remainder when 86 is divided by c?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236 = -13*u + 27*u - 4*u - 9*m - 2*m, -9 = 7*u - m - 0*m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 4:54 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4803779.\nAnswer: 359, 13381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(84)*3 - -6*sqrt(84)*2)\/(sqrt(768)*3 - sqrt(300)*-4))**2.\nAnswer: 63\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 5*p**2 + 5*p. Let w be z(6). Let n(f) = 3314 - 5*f - 1663 - 1677. Let q be n(w). Solve 3*d - 4 = q*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + ((-2)\/((-2)\/(-3)) - -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-6 - -3)) + -13 + (-3909 - -3948).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**6\/40 - l**5\/15 - 4*l**2. Find the third derivative of y(t) wrt t.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 + 4*p**3 + 0*p**3 + 3*p**3.\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g + 4*g + 0*g - 2*g**2 + 2*g + 4. Let i be o(9). Let z = 88 + i. What is the remainder when z is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8926746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 444+-69088\nAnswer: -68644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100507 (base 10) to base 12.\nAnswer: -4a1b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) + 1 + -2 + (2 + sqrt(112))**2 + -5.\nAnswer: 20*sqrt(7) + 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**3\/3 + 1. Let k = 0 - -2. Let p(s) = -4*s**2 + 7*s**2 + 5*s**k. Give p(b(y)).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + 294 + 299 - 2*i**2 + 219 - 812.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -30 + 15*t**2 - 19*t**2 + 3*t**2 - 21*t. What is the remainder when 28 is divided by s(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.5 + -0.8. Let i = b + 2.3000036. What is i rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 463*w + 63. What are the prime factors of d(7)?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1601384 divided by -4?\nAnswer: -400346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3\/6 + 7*g**2 + 235*g\/6 = 0.\nAnswer: -5, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.19*-272.\nAnswer: 323.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 13) in base 10?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 137\/1239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 0)*(-36825*g**3 - g**2 + 36825*g**3 - 104*g**4) as b*g**3 + t*g**4 + a*g**2 + m + h*g and give t.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/79611 and -8\/1080435.\nAnswer: 7563045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -2. Suppose -15*i + 53 = 8. Solve -q*j - 4*n + 18 = 0, -i*n = 3 - 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/10*((-20)\/(-4))\/(-85)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*h**2*s*w**2 - 8*h**2*w**2 + 2*h**2 + 3*s*w + 9*w**2 - 1 wrt h.\nAnswer: 28*h*s*w**2 - 16*h*w**2 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, 2, 6.\nAnswer: -7, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 45\/(-27) - (4\/12 - 0). Let c be (1\/1 - -5)\/(p\/(-3)). What is the greatest common divisor of c and 621?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/12*(4 + 0). Suppose 2*b - 3*o = -2*b + 321, 0 = -r*o + 5. Let v = 126 - b. What is the highest common divisor of 15 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 - 580364*a\/3 - 7544563\/3.\nAnswer: -(a + 13)*(a + 580351)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -a + 119, 0*q - 5*a - 35 = q. Suppose r - 131 = -3*d, -2*d - 3*r = -d - 49. Let i = q + d. What is the greatest common factor of i and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*y = -323, -3*y - 1006 - 657 = -5*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f**3 + 42*f**2 + 18*f + 1. What is z(-10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**6\/360 - s**5\/30 + 7*s**4\/24 + s**3\/6 - 8*s**2. Let y(n) be the first derivative of m(n). Give y(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbxkqbqeeqbsbkkqe. Give prob of sequence seqk.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vkkvvmvkvvvvvkvkk.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*j - 50 = f, 0 = j. Is 3\/(-2) - 1325\/f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 13. What is the remainder when 12 is divided by d(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v - 2599 = -2349 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000011101110 (base 2) in base 11?\nAnswer: -14625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -861225, -861227, -861229, -861231, -861233, -861235?\n\"Answer: -2*s - 861223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -13932\nAnswer: 2\/3483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1337 and 53501?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 1\/12*r**4 + 0 + 0*r**3 + 0*r**5 - 3*r**2 + 0*r + 0*r**6 - 2\/105*r**7. What is the second derivative of q(j) wrt j?\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 22 + -6 - (6 + 25)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 1 + 0 = -3*j, -2*o = 2*j - 2. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**2 + 0*r + 0*r + (-1 + 1 - r)*(4 - r - 4))*(-59 + 16 + 26)*(-11 + 8 - 7) to the form l*r + u*r**2 + x and give u.\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-1)\/(-4))\/((-2)\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqwwevwxwq. What is prob of sequence qev?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -251546 or -249770?\nAnswer: -251546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 32*y - 6*y + 373100 = 0. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.771 - 0.071. What is the second biggest value in -4, 4, -1\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 378, 735, 1102, 1479, 1866?\n\"Answer: 5*t**2 + 342*t + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(43\/9030*42).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 107\/68 - 14\/17. Let u = 0.1 - 0.3. What is the nearest to -1\/2 in u, n, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**3 - 2*s**3 - 4*s**3.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 6) to base 4.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3 - 7539956*l**2 + 7106419839640*l - 99488399929072 = 0.\nAnswer: 14, 1884982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*w - a = 10, -w - 2*a = 2. Let z be (w\/(-4))\/(15\/40). Solve z*k - k = -3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1420336, -2840644, -4260942, -5681224, -7101484?\nAnswer: -8521716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 11. Let x(d) = 90*d + d**n + 0*d**3 - 88*d + 1 - 5*d**2. Let y = 11 + -7. Determine x(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2.8, -1\/2, 40, -0.3 in decreasing order.\nAnswer: 40, 5, -0.3, -1\/2, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 6*z + 202 = -3*z - 10, 5*z = 85*q + z + 4505 for q.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**4\/11 + 1184*l**3\/11 + 10039*l**2\/11 + 1686*l\/11 - 52920\/11 = 0. Calculate l.\nAnswer: -36\/5, -3, 2, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -140605\/6 + 23505. Let k = a - 178\/3. What is the common denominator of k and 4\/(4\/3) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*n**3*y**3 - 2*b*n**3*y**2 - 35*b*n**3*y + 5*b*n**2*y - 3*n**2*y**3 + 7*y**3 wrt n?\nAnswer: 6*b*y**3 - 12*b*y**2 - 210*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a + 28 = -0 + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (((sqrt(104) + -1*sqrt(104))*6)\/(sqrt(512) - (sqrt(512)*-2 - sqrt(512))) - ((sqrt(104)\/sqrt(8) + 5)*5 + -2)))**2.\nAnswer: 220*sqrt(13) + 809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -285c?\nAnswer: 2864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(2) + sqrt(2) + sqrt(32) + sqrt(512) + sqrt(32) + sqrt(2) - sqrt(2)))**2.\nAnswer: 5\/676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 12836*b**2 - 982033*b + 5231190.\nAnswer: -(b - 5)*(b + 82)*(b + 12759)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1292 and 228361?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/11117 - 333532\/122287. Is z at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -2, 69, 1, -3 in ascending order.\nAnswer: -3, -2, 1, 18, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 13 - 5\/(-20)*-4. Solve -36*o + 66 = -m*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.597212 rounded to the nearest integer?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4289278 - 2.\nAnswer: -2.4289278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 - -67. Put 3\/4, y, 0.4 in descending order.\nAnswer: 3\/4, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j - 7*j - 62 - 10*j + 21*j**2 + 0*j.\nAnswer: 21*j**2 - 2*j - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2 + 37*k + 63. What is s(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -483359\/240 + 2014. Let f(g) be the third derivative of 0 + 1\/24*g**3 + 1\/96*g**4 - 1\/480*g**6 - g**2 - x*g**5 + 0*g. Suppose f(l) = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*(sqrt(1377) - (-1 + sqrt(1377) + 2)) + 2*(sqrt(1377) + sqrt(1377) + -1*sqrt(1377) + 3) + 2)**2.\nAnswer: 324*sqrt(17) + 5589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002968 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 32\/5 of a kilogram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4) + 33\/(-22). Let g = 1 - p. Solve -2*h + 7*h - 16 = 3*m, 5*h = -g*m + 34 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**4 - 4*q**3\/3 + 7*q**2 + 2. Let b(o) = -o**3 - o**2 + 3*o. Let g(l) = 14*b(l) - 3*v(l). Find y such that g(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32080901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2200100110 + -2102?\nAnswer: -2200102212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-6))\/((-4)\/18). Let u = 5 + x. Solve 2*w = u*o - 10, 3*o = -2*o + w + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4522 * 0.3.\nAnswer: -1356.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -111 + 108. Is x > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(304) + (1*sqrt(304) - sqrt(304)) + sqrt(304))**2 - (sqrt(76) + 0 + 2).\nAnswer: -2434 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 - 115. Let l = q + 66. Suppose -l - 47 = -2*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*q + 6. Let g be 3 + -4 + (47 - q). Calculate the highest common factor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**(-3\/14)*(p\/p**0)**(-18))**(-38) assuming p is positive.\nAnswer: p**(4731\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + r + 1. Let o be b(0). Let n = -45 + 41. Calculate the remainder when 4 is divided by (n\/(-6))\/(o\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.601296529 - 0.6013. Round l to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15861149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*o = -2. Suppose -2*g + 80 = -7*g. Let w be ((-80)\/32)\/(10\/g). Which is the smallest value? (a) 2\/3 (b) w (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 + -94.941. Let m = w + -23.559. Let s = -22 - m. Is 1 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and (-4*9\/60)\/(1\/(-30))?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3095695 is divided by 972?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*j + 22. Suppose 2*v + 5*k - 54 = 0, 2*k - 30 = -v - 2*k. Calculate the greatest common divisor of j and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4 less than 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5196, -20464, -45910, -81534?\nAnswer: -127336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jaloajaaajho. What is prob of sequence aa?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, -5, 5, 4 in increasing order.\nAnswer: -5, 4, 5, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -12*g. Let n(u) = -6*u. Let i(f) = -5*j(f) + 9*n(f). Let d(o) = -2*o**2. Determine d(i(x)).\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*16\/14*(-105)\/150.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 63*v + 16. Let m(j) = 121*j + 33. Calculate -2*m(o) + 5*w(o).\nAnswer: 73*o + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((12\/(-18))\/(2\/9))\/(-1). Sort 5, z, 203.\nAnswer: z, 5, 203","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/505 != 0.14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -111820 divided by -4\nAnswer: 27955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p - 4*p + 4*p + 8 - 6. Let k(h) = -66*h + 27. Calculate -2*k(r) + 27*z(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 = 18*v - 47*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15325\/4 - -3807. Find the common denominator of -73\/8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 3:18 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t = -0*t + 29*t - 48 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, o: 1, j: 1, h: 3, v: 2, q: 5}. Give prob of picking 1 v, 1 o, and 1 j.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/3 and -41\/2565081.\nAnswer: 2565081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j. Let g(r) = -4*r. Let n(x) = 5*g(x) + 3*l(x). Let i(m) = -30*m + 1. Determine i(n(k)).\nAnswer: -30*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 + 2*p - 2*p**4 - p**2 - 12*p**3 to f*p + d*p**2 + n*p**3 + o*p**4 + x and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 619 = 398. What is the remainder when f is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 468 and 582972.\nAnswer: 1748916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(-3*sqrt(5)*-2) - sqrt(55)\/(sqrt(44)\/(1*sqrt(4))))**2.\nAnswer: 125\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 + 2 - 2)*(11*l**2 + 0*l**2 + 0*l**2) + 2*l**5 - 6*l**5 + 3*l**5 + (2*l**3 - 3 + 3)*(l**2 + 3*l**2 - 3*l**2) + l**5 - 2 + 2.\nAnswer: 13*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*c - 230 = -227*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7))**2\/((d*d**0*d)\/d**(1\/11)) assuming d is positive.\nAnswer: d**(-191\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 - 192\nAnswer: -191.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8464248 by -234.\nAnswer: 36172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**11*g*g)**(-35))**(-50) assuming g is positive.\nAnswer: g**(-14000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**2\/7 - 824*k\/7 + 84872\/7 = 0.\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -76, 0.4, -4\/267?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/8)\/(9\/18).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 892805, 892837, 892871, 892907, 892945?\nAnswer: 892985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.56 and -31.47569.\nAnswer: -112.0534564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from tppfpftntbffyyt.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.96 - -0.4. Let k = -272 - -271.94. Let n = k - g. Which is the closest to -0.1? (a) 0.1 (b) n (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5*x**3 - 2320*x**2 + 5*x + 2320 = 0.\nAnswer: -464, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409502282.\nAnswer: 2, 7, 113, 313, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 14*f - 4*f + 5 as d + b*f and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3283 + 3331. Let r = 445.99 + -398.1. Let t = r - x. Round t to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1303 - -1326. Sort 0, q, -5 in descending order.\nAnswer: q, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/(6*(-3)\/12). Let d be (-2)\/m - (-295)\/30. Calculate the remainder when 11 is divided by (-8)\/4 + -2 + d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.11271 minus -2368?\nAnswer: 2364.88729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102113 - 302121333?\nAnswer: -302230112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert d64 (base 15) to base 2.\nAnswer: 101111001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 2:47 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/9 in -0.7, 2\/7, 121, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -32997, 0, 4 in descending order.\nAnswer: 4, 0, -1, -32997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 207467839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millisecond in microseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*u = 18, -j - u + 0 = 9. Let y be (4\/8)\/(3\/12). Let s(v) = 2 - v**y - 10 + 5*v + 2*v**2. Determine s(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1647, 1642, 1637?\nAnswer: 1632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237499 - -0.05.\nAnswer: -237498.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13508\/5322973 + -2\/5843. Let z(f) = 5*f**2 + 65*f - 989. Let m be z(9). Is m greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3 - 9 = 0. Suppose -288 = a*t - 4*k, 3*k = -t - 130 + 34. Is (176 + 1)*-4*56\/t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2. Let p = -125 - -209. Let c(v) = 67*v - 151*v + p*v + 126*v. Give c(d(k)).\nAnswer: 252*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/321001 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 34.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110 - 100?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -314 (base 8) in base 2?\nAnswer: -11001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1751 and 858823?\nAnswer: 88458769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 574963, 1149948, 1724931, 2299912, 2874891, 3449868?\n\"Answer: -q**2 + 574988*q - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/91 and -10\/63?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1253 + 210*q + 1253 to o + g*q and give g.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1303888?\nAnswer: 2, 227, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-4)*(-54)\/15. Suppose 49 = 10*c + t. Calculate the greatest common factor of c and 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3655 + 55?\nAnswer: -3600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-6)*2*4\/(-4). Let k be l - 4\/204*-267. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 8*y - 174. Suppose -3*q = -h - y, -3*q - 4*h = -0*h - 38. Suppose -6*t + q = 6. Solve -4*r + t*f - 1 = r, -3*r + 7 = -5*f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*f - 6*f + 52, 2*o - f - 47 = 0. Let x be o\/14 - 6\/(-21). Is x >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 663a66 (base 13) to base 9.\nAnswer: 4468407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9030740*m**4 - 3*m**3 - 17690425*m**2 wrt m?\nAnswer: 216737760*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1917 - 1907. Solve 2*g + 7 = 5*c, -3*c + 16 - i = -3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 516.5682 grams in kilograms?\nAnswer: 0.5165682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17697 = 24*d - 17673 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 426.600982 - 426.6. Round c to 5 decimal places.\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3\/3 - 253*y**2 + 57609*y - 12360677\/3 = 0. What is y?\nAnswer: 173, 413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -749160 divided by 374580?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 252\/24*(-2)\/(-3). Let w = -27\/100 + 13\/25. Which is the third biggest value? (a) l (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -105350 + -313?\nAnswer: -105663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -310 - -3?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**3 - 3*f**2 + 12*f - 30. Let d(h) = -h**3 + 2*h**2 + h + 1. Let l(i) = -6*d(i) - o(i). Find r, given that l(r) = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*v - 6 + 11*v + 3*v + 5 + 2 + 14*v.\nAnswer: 7*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/(-14) + (270\/42 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 2. Let w be x(4). Suppose 5*n + 3 = 2*a, 3*n = -3*a + 102 - 24. Solve 4*k + a = g, -w = 2*k + g + 3*g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**2\/5 - 33098*q\/5 + 15528072\/5 = 0.\nAnswer: 476, 32622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317 = s - 321. Solve 2*x - s*x = -4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*w - 4 = 0, w - 20 = -2*q + 4*w. Suppose 3*l = 4*t - q, 0 = l - 3*l - 4*t + 24. Solve 3*u + l = 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**5\/20 + c**4\/2 - 2*c**3\/3 + c**2 + 6*c. Is a(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 68*c**3 - 440*c**3 - 1138*c**3 - 2335 - 96*c**3 wrt c?\nAnswer: -4818*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**4\/12 + 98*s. Let a(m) = -404*m**2. Give a(w(f)).\nAnswer: -404*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 273985752?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(245)*2*3)**2 - ((sqrt(245) + 0)**2*4 - (sqrt(245) + (4*(sqrt(245) + -2))**2))) + -1.\nAnswer: -441*sqrt(5) + 11828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 543*z + 8747. Let b be v(-16). Sort 0.05, b, -4, 0.4 in increasing order.\nAnswer: -4, 0.05, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v**3 + 8*v - 5. Let s(y) = -8*y**3 + 9*y - 6. Suppose m + 3*b - 6 = 5*b, 36 = 4*m + 4*b. Let o = 15 - m. Calculate o*x(c) - 6*s(c).\nAnswer: -c**3 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6*x - 35 = -4*p, x + p = 6. Let m(w) = 10*w - 30*w + 13*w + x + 51*w**2. Is m(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118564 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/6 - 5719\/(-8170).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*w - 113 + 77 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*a**3*q**2*t*u**2 + 2*a**3*u + 33*a**2*q**2*t*u + 2*a**2*t*u - a**2*u - 7*q - 4*t*u**2 - 3 wrt q.\nAnswer: 40*a**3*t*u**2 + 66*a**2*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15195*s**4 + 27397*s**4 - 14821*s**4)*(-1 + 1 + 3)*(-4 + 4 + 1).\nAnswer: -7857*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k**4 + 2*k**4 + 2*k**4 + (2 - 2 + 1)*(-11*k**4 - 3*k**4 + 3*k**4) as x*k + i*k**2 + r*k**3 + u + v*k**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6.564174 and 1171053.\nAnswer: 1171046.435826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 264 = -2*d. Suppose 3*z = -d + 81. Let c(b) = -b**3 - b. What is the lowest common multiple of c(-2) and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1566*x + 3702 = -20582 - 3192 - 13240 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/616 and 37\/48706616.\nAnswer: 535772776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 378 (b) 5 (c) -5 (d) -0.1 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2. Let n(h) be the second derivative of 7*h**4\/12 + 6*h. What is l(n(m))?\nAnswer: 49*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262433357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-12))\/(-4*(-3)\/(-72))*-1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 161554, 324106, 486654, 649198, 811738, 974274?\n\"Answer: -2*v**2 + 162558*v - 1002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*d = -2*d, c = d. Suppose c = -2*o - 0*o + 8. Solve 8 = -4*b - o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 432 + -139. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 117*z + 2. Let j(s) = 988*s + 17. Let n(b) = 51*a(b) - 6*j(b). Let t(w) = -51*w. Determine n(t(x)).\nAnswer: -1989*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-6))\/(8\/8)*2\/4\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -0.2. Let f = -191642\/7 + 27377. Suppose -4*a - s - 10 = 2*s, -3*s - 4 = -2*a. Sort 4, m, f, a in descending order.\nAnswer: 4, m, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*p**4 - 4*p**3 + 2*p**2 + 65*p + 741067 wrt p?\nAnswer: 64*p**3 - 12*p**2 + 4*p + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 42 = 2*g, -4*j - 5*g = 44 - 200. Suppose 4*p + 4*f - j = 22, -2*p - f + 24 = 0. Differentiate -16 + 0*m + 0*m - p*m**2 + 24 with respect to m.\nAnswer: -20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a9 (base 11) to base 4.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/8181447 - -929158754383\/163628940. Let s = -5676 + n. Let d = 1172\/5 + -491\/2. What is the common denominator of s and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/((-80)\/(-6))*325\/585. Sort -9\/5, -2, -1\/2, s.\nAnswer: -2, -9\/5, -1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25*6\/(-22)*(-1)\/(-51) and -46\/17.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 8 + 7)*(139*q - 7*q - 54*q)*(-4*q + 4*q - 2*q**3) to the form y + v*q + t*q**2 + m*q**4 + h*q**3 and give m.\nAnswer: -1560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127 - 126. Is -2\/5 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12342*y - 35 + 3559*y + 5626*y + 16 + 19)*(7*y + 2*y - 8*y) to h + g*y**2 + f*y and give g.\nAnswer: 21527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 12\/6337, 1, 5, -4 in descending order.\nAnswer: 5, 1, 12\/6337, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23038 + 46063\/2. Let u = 8871071\/8 - 1105810. Let p = -3084 + u. What is the common denominator of p and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -3.45?\nAnswer: -1.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30348 and 81?\nAnswer: 91044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1153 is divided by 346.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 1. Let c be ((-1)\/2)\/(18\/(-4616)). Let p = 128 - c. What is the closest to -2\/3 in 0.4, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.835 + -401004.166\nAnswer: -401007.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-117)\/(-189) + 4\/(-14). Do n and 10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - -16113634?\nAnswer: 16113643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhzuzzhuzphzhxzzz. What is prob of picking 1 u and 1 x?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -145 - 92 - 18 - 88 + 8*y - 18. Calculate the remainder when 17 is divided by z(46).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/414 and -109\/10?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*z**2 + 98\/5 - 96\/5*z.\nAnswer: -2*(z - 1)*(z + 49)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 3. Let d be u(-5). Let f be (-29)\/(-5) - d\/10. Suppose -96 + 480 = f*t. What is the highest common divisor of 16 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10625\/2751 + 2\/393. Let i = -80\/21 - q. Which is the second biggest value? (a) -1\/8 (b) i (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011278 rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6459.\nAnswer: 3, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1407, -1397, -1373, -1329, -1259, -1157, -1017?\n\"Answer: s**3 + s**2 - 1409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 271530115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.085 - -0.105. Let d = 0.98 - 1. Let w = k + d. Which is the third smallest value? (a) -1\/4 (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11302378819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.11686791 to 1 decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3 - 17 = 0. Solve i*c + 13 = 18 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-150)\/(-14) + -5 + 6\/21. Solve 5*o = 4*h + 3, -h = 4*h - 4*o + b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-5)\/(-240))\/((-2)\/(-426)) and 7\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2575*v + 406 = 2633*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -23*x**2 - 1\/10*x**5 + 1\/3*x**3 - 1\/12*x**4 + 0 + 0*x. Calculate i(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**6\/60 + 13*y**5\/120 - 11*y**4\/48 + y**3\/6 + 7*y**2. What is x in f(x) = 0?\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -19, -6 in descending order.\nAnswer: -6, -10, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 427*v**3 - 4783*v**3 - 1136*v**3.\nAnswer: -5492*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2 + 1395164*r - 5580672 = 0. Calculate r.\nAnswer: -1395168, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(1950\/210)\/13*(11\/(-1))\/(-1)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108246 - 36553777.\nAnswer: -36662023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p**2 + p. Let f(n) = 21*n**2 - 4*n. Let y(q) = 2*f(q) + 9*u(q). Let r(k) = 5*k. Give y(r(o)).\nAnswer: -75*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/175 and 107\/350.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x + 4*x + x + (1 + 0 + 0)*(0*x - x - x) - x - 4 + 4 + 3*x + 0*x - 6*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 2.69304 (c) 8.2 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -92 - -97. Solve -23 = -3*h - 4*q, -b*h + 0 = 2*q - 15 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 542*z**5 + z**3 - 407*z**2 + 604*z + 1071?\nAnswer: 10840*z**3 + 6*z - 814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3\/5 + 27532*n**2\/5 - 59468354*n\/5 - 262408685904\/5 = 0. What is n?\nAnswer: -2088, 7927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(1\/71)))\/(k\/(k**(2\/13)*k)*k) assuming k is positive.\nAnswer: k**(-794\/923)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 82, 82, 76, 58, 22, -38, -128?\n\"Answer: -v**3 + 3*v**2 - 2*v + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -6*o + 4, 0 = h - 3*o + 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3845 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/7)\/(27 + 689269\/(-25529)). What is the highest common factor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011110000101111100 (base 2) to base 12\nAnswer: -167050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.1581 - -152.2881. Let h = c - -2.87. Let m = -151.9814 + h. Round m to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 16. Let g be r(4). Calculate the highest common divisor of 160 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 2)*(0*g + 2*g + 0*g)*(1683*g**3 + 221*g**3 - 142*g**3).\nAnswer: 10572*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 1260.22.\nAnswer: 378.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o. Let b(h) = -5 + 5 - 2*h. What is 4*b(j) - 7*w(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580161 is divided by 15167?\nAnswer: 3815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 1)*(3*g - g - 3*g + (-2*g + 0*g + 3*g)*(2 - 1 + 0) + 3 + g - 3 + g + 3 - 3 - 38*g - 28*g + 77*g).\nAnswer: -52*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 6) to base 3\nAnswer: -1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.089*-4\nAnswer: -0.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ccfffcff.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -11 + 21 - 8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136422 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201120210 + -1101221?\nAnswer: 200011212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14811193 is divided by 223?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280133373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7*c - 25 = 0, -2*i + 3*c = -605. Calculate the greatest common divisor of 62 and i.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 5*l + 9. Suppose 0 = -3*v - 4*q + 15, -3*v - 3*q + l = -3. Let h be v + (-3 - -1 - -1). Solve 4*o = h*f + 7*o + 18, -f = -5*o - 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*h - 16*h + 18*h)*(-5 + 4 - 2)*(0 + 0*h + h + 1).\nAnswer: 30*h**2 + 30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -93*f + 562. Let w be m(6). Which is the smallest value? (a) w (b) 0.2 (c) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/7 - 244*i\/7 - 496\/7.\nAnswer: 2*(i - 124)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2416643 or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 20495.\nAnswer: 1\/20495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or -358830?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8815*z + 8820*z + 154 = 18*l, -2*z = -7*l + 60 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 4, -0.2, 0.9 in increasing order.\nAnswer: -0.2, 0.9, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.99 - -33.99. Do n and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36159 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 95476721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1052 + -565. Suppose 0 = q + 4*c - y, c + 1 = 3. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*c - 214 = 32*c + 1301 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77488319 to the nearest integer?\nAnswer: 8803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2560943?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z + 5. Calculate s(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1190 and 490?\nAnswer: 8330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138 - 65. Let d = u + -47. What is the remainder when d is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -27 + 155. Suppose -5*z - x = -4*z. Let p = -31 + z. Round p to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + n + 50. Let z be (-3)\/(-12) + 97\/(-4). Let u be (-3)\/(-9) + n\/z. Is 1 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 105*(3\/9 + 0). Let g = r - 32. Suppose -15*n - 2249 = -2279. Sort g, n, -4 in increasing order.\nAnswer: -4, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = -51*a + 214. Let c(n) = -3*n**3. Let b(q) = q**3 - q**2 - q. Give a*c(j) + b(j).\nAnswer: -2*j**3 - j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 - 36 = 82*w. Solve w*a = 0, 2*p - 17*a + 12*a = -2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 + 0.17. Let l = -7 + 7.3. Let n = l - f. Which is smaller: 2\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 18154 = 7766. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11610 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -653500 divided by -32675\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2858 - 58265*a**3 + 2858 + 58151*a**3.\nAnswer: -114*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 1232?\nAnswer: -1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - g = -98, 3*s + 21892 = 5*g + 10905 + 10905 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (223 - 124 - 2*j - 111 + (4 - 2*j - 4)*(2 - 5 + 4))*(-3*j**4 - j**4 + 6*j**4).\nAnswer: -8*j**5 - 24*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = 22*l. Let o(d) be the second derivative of -1\/3*d**4 + 9\/20*d**5 + 0*d**2 - 2*d + 0*d**3 + l. Find the third derivative of o(v) wrt v.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101200 + -11?\nAnswer: -101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgusgtd. What is prob of sequence ut?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 143060 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 - 10) + -1 - -20065 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*u**2 + 26 - 6 - 7 wrt u.\nAnswer: -22*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -45566, -45623, -45718, -45851, -46022?\n\"Answer: -19*b**2 - 45547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.51 * -1.19.\nAnswer: -0.6069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/91 or 0?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/33)\/j*j**(-2\/7))**(-1\/3)*(j**(2\/5)\/j**(-3))**36 assuming j is positive.\nAnswer: j**(425531\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 360? (a) 5 (b) 0.5 (c) 2\/39 (d) 0.041 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24975 and 75600?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41664 divided by -21.\nAnswer: -1984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(7*(-80)\/(-1568)) - 9. Let -k**2 - 3\/2 + 3\/2*k**3 + 1\/2*k**4 - 13\/4*k - 1\/4*k**h = 0. What is k?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570 a factor of 1732800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 less than 26.194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 989898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 555259, 555152, 554973, 554722, 554399, 554004, 553537?\n\"Answer: -36*y**2 + y + 555294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -90? (a) -2\/7 (b) -217 (c) -5 (d) -1\/9 (e) -2 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15509642081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 9:47 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/4*28\/357. Which is the third biggest value? (a) -1 (b) t (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 22480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + d - 2*d**4 + (-2*d**3 + 0*d + 0*d)*(-d + 0*d + 2*d).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 5*a = -3*a - 8, 2*a = g + 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k + 26. Let g be h(-9). Let w = 1 - g. Suppose 4*c + w*c - 198 = 0. Calculate the least common multiple of 24 and c.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-24))\/(5\/(-10)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1687 or 1628?\nAnswer: 1628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23801002 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 2:16 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 + 20142452?\nAnswer: 20142504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 0 + 7\/3*k**3 + 0*k**4 + 0*k**6 + 9*k**2 + 0*k + 0*k**5 + 2\/105*k**7. Differentiate v(o) with respect to o.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71373678.\nAnswer: 2, 3, 11895613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7262.2 + 7265.2. Let r be (-4)\/(-10) + (-18)\/70. Which is the fourth smallest value? (a) -20 (b) r (c) 0.3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -2596546\nAnswer: -15\/2596546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 5. Suppose -9 = -5*i + 2*i. Let a(s) = -s + 4. Let g(q) = q**2 - 51*q + 96. Let n be g(49). Determine i*a(t) + n*l(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 901158022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*p + 4. Let d(a) = 0*a**2 - a + 2 + a**2 + 0*a**2. What are the prime factors of d(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8397174 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 2. Let m(o) = 2 - 2*o + 2*o - 5*o. Let n(r) = 4*r - 2. Calculate f*m(p) - 4*n(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 less than 380544?\nAnswer: 380739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-782)\/102 + ((-304)\/32)\/(1\/(-2))?\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r + 7*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0175 and -6.\nAnswer: 0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 27, 123, 154, -2 in ascending order.\nAnswer: -2, 5, 27, 123, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, r: 1, h: 1, j: 10}. Give prob of picking 1 r, 1 j, 1 a, and 1 h.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*18\/(-396)*2\/(-21).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 48 = 5*u. What is the remainder when 46 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2511 + 2591. Calculate the remainder when 1029 is divided by z.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3\/7, 36, -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/5)\/((-8192)\/200 + 41). Let p(s) = s**3 - 2*s**2 - s. Let b be p(3). Solve -t = -g - 2, -2*t + b = h*g - 3*t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56990111 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -4. Suppose -19 = -2*h + 5. Suppose 7*t = 3*t + h. Solve 2*a = y*j - t*a + 35, 7 = -2*j - a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g**2 + 14*g + 53. Let z(y) = -3*y**2 + y + 5. Give -n(u) + 10*z(u).\nAnswer: -23*u**2 - 4*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213989074 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2772056921 to the nearest integer?\nAnswer: 52650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m. Let t(i) be the second derivative of 35*i**3\/6 - 298*i. Calculate t(j(g)).\nAnswer: 105*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.217 - 0.287. Put -5, n, -0.09 in decreasing order.\nAnswer: n, -0.09, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8 - 403\/52)\/(1\/236). Calculate the highest common factor of a and 4779.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**3 - 59*q**2 - 80*q + 829. Give o(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 12*y - 11. Let j = -32 - -42. Let l be f(j). Solve 3*m + 1 = -5*n, 5*m + n - l = -2*n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(11\/3)*q)\/(((q*q**(-12)*q)\/q)\/q)*q**(-3)*(q**(-2\/17)\/q)\/q)**(-2\/21) assuming q is positive.\nAnswer: q**(-1178\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 126, 136, 170, 240, 358, 536, 786?\n\"Answer: 2*p**3 - 4*p + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 90*z - 94*z. Let v be (z\/(-14))\/(-1 + (-36)\/(-28)). Suppose 6*n + c = 2*n + 5, 0 = 2*n + c - 1. Sort -0.5, v, n in ascending order.\nAnswer: -0.5, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 89506, 2 in descending order.\nAnswer: 89506, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 136*z**2 - 142*z**2 - 27 as d + x*z + a*z**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4979340 and 12420?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - -2) + 107 + (-236 - -113)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 107*k**4\/3 + 2783*k**3\/3 + 829*k**2 - 5327*k\/3 - 50\/3 = 0.\nAnswer: -25, -2, -1\/107, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4224001230 (base 5) to base 8.\nAnswer: 41474222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*(14\/(-112))\/((-6)\/36).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o + 34. Let u(n) = -19597 + 9796 + 3*n + 9801. What is u(x(q))?\nAnswer: 12*q + 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-40)\/(-3))\/((1\/3)\/(-1)). Let y = -23 - u. Find the third derivative of -14*t**3 + 21*t**4 - y*t**2 + 10*t**3 + 4*t**3 wrt t.\nAnswer: 504*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -61*y**2 - y. Let l be -2*2*(-4)\/(-16). Let k be q(l). Let h be k\/(-14) - (-12)\/(-42). Solve 0 = h*a + 6 + 14 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*w - 154*w - 154*w + 0 = -57, 2*w = 4*f - 26 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 4)*-4*6\/(-32). Let y(j) = 9 - 3 + w*j - j - j. What is y(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43401.96 litres to millilitres.\nAnswer: 43401960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 6) in base 14?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4920691 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 724 + 614 = -4*t, -3*t + 93 = 2*o. Calculate the remainder when 3497 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**3 - 2545*y**2 - 323315*y - 320775 = 0. Calculate y.\nAnswer: -273, -235, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/h**(1\/2)))**(-8)\/(h\/h**(-2)*h**(1\/2)))**(-1\/3))**(-1\/41) assuming h is positive.\nAnswer: h**(-5\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12221121 (base 3) in base 7?\nAnswer: -15433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 + 6*y + 5. Let c(d) = -d**2 + d + 1. Suppose 0 = -l - l - 8, -5*t = -l + 11. Let j(r) = t*c(r) + s(r). Solve j(w) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**0\/w**(-1\/2)*w*w**(1\/2)*w*w**(-1\/2)*w*(w**(3\/2)*w\/((w\/w**(2\/19))\/w)*w)**34 assuming w is positive.\nAnswer: w**(4791\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.1, -6, -1280, -0.8, -1\/4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5\/6)*((q*q*q\/(q\/(q**2*q*q)))\/q)\/q)**(-10\/9)\/((q\/(q*q**(-1\/4)))**(1\/4)*((q**0*q)\/q)**(4\/13)) assuming q is positive.\nAnswer: q**(-1547\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -17, -46, -107, -212, -373, -602?\nAnswer: -911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s**4 - 13*s**3 - s + 15*s**3 - s + 2*s**2 to the form l + q*s + j*s**3 + o*s**2 + h*s**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1351213, 2702741, 4054269, 5405797?\n\"Answer: 1351528*f - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*4\/(8\/3). Suppose i*z - 1 = 2. Let c be (z - -4) + -7 + 6. Solve -2 = -2*l, -2*u + l = c - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/15)\/(-2 - -1). What is the closest to -0.1 in n, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-1\/3))\/o)\/o**8)**(-10) assuming o is positive.\nAnswer: o**(250\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -1\/4, -0.3, 285\/8, 2\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a week in minutes?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325*a**3 + 11*a**2 - 11*a**2 - 168*a**3 - 4881*a**3.\nAnswer: -4724*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 317.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22819 + 22818.939. What is the nearest to 5 in t, 2\/11, -5, -1\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*u - 28, 5*u = 14 - 4. Suppose -x = -18*h + 14*h. Suppose 0 = h*a - 144 + 57. Does 23 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*t + 5. Suppose 4*q = -t*d, 0 = 3*d - 2*q + q. Let l(z) = -z**3 + 16*z**2 + z - 10. Let c be l(16). Solve r + r + c = d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4270 (b) -4 (c) -1\/3 (d) 3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/((-280)\/(-15))*1\/3\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 669466*h**3 + 3*h**2 + 1816990*h.\nAnswer: 4016796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1371, -2804, -4251, -5718, -7211, -8736, -10299?\n\"Answer: -i**3 - i**2 - 1423*i + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.208, 32, -2, -0.2 in descending order.\nAnswer: 32, -0.2, -1.208, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 9*z**2 + 6*z - 16. Let v be t(10). Let n(f) = 4*f**2 - 13*f - 11. Let m be n(-3). What is the highest common factor of v and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54727994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 10*l + 0*l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 112163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 18*s - 5 = -5*b, 19 = 3*s - b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 a factor of 258981356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*w + 26. Suppose -2*x + 5*x - 1 = y, -w = -4*y + 3*x. Suppose -m - 22 = -y*q - 61, -q - 4 = 0. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -40?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21747661.\nAnswer: 13, 1672897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/28)\/11 + 33\/(-12) + 3.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -183, -749, -1693, -3015, -4715, -6793?\n\"Answer: -189*s**2 + s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45091901.\nAnswer: 6217, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 3, w: 5, c: 6, a: 3, o: 1, h: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03012565 rounded to 4 dps?\nAnswer: -0.0301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -9. Let r be 4\/y - (-4)\/35. Is -1 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 10 = -14*j. Let n(c) = 347*c**2 + 9*c + 9. Is n(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222 (base 3) to base 15\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -4, -6728 in decreasing order.\nAnswer: -0.2, -4, -6728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.036 (c) -2 (d) 1 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 10 - 0. Let l(c) = c**2 + c + 4. Let n = 0 + 14. What is the lowest common multiple of l(m) and n?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1. Let v(x) = x**2 + 9*x + 12. Let p(d) = -3*a(d) - v(d). Let n be p(-12). What is the remainder when 18\/n*-10*17 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*s + 42 = u, 3*u = 2*s + 22. Calculate the least common multiple of u and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 361\/120 + -1 + -2. Let f(i) be the third derivative of 1\/12*i**3 + 0*i**4 + 0 - j*i**5 + 0*i - 2*i**2. Factor f(s).\nAnswer: -(s - 1)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20481 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: Find the common denominator of 113\/135444 and 37\/1276.\nAnswer: 43206636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/63)\/(-4*(-160)\/(-768)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -233.8516 - 3.1484. Which is smaller: w or -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12022 + 100?\nAnswer: 12122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45963 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376585 is divided by 727.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 2. Let c(p) = 79*p**2 - 5*p - 7. Let n be c(u). Suppose 3*l - 5*h + n = -4022, 2*l - 5*h + 4015 = 0. Round l to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(2*3\/(-30)). Let q = -1.7 + 1.9. Which is the biggest value? (a) y (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483352 is divided by 241668.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0033 - -0.2243. What is j rounded to 2 decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22.535 and -0.3.\nAnswer: -6.7605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181083*l**3 - 112630*l**3 + 69562*l**3 + 5744*l**3.\nAnswer: -218407*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 747 and 415.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*176\/(-44)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 1636*n - 13358. Give v(-8).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1378 + -813. Let q = -48 + -18. Let h = q + a. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from zqwmqqwlqqqqdq?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137 + 106. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (-7 - 8 - -8)) + 1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2262955 is divided by 1481?\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-1 + (1 - 1)). Let t be 2 + n - (4 - 7). Solve t = 3*u + 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.4. Let t = 0.021 + -0.521. Sort t, -0.1, i in descending order.\nAnswer: i, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 4:59 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0998 * 2061.\nAnswer: -205.6878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**5\/7 - 100*a**4\/7 + 1328*a**3\/7 - 1536*a**2\/7 - 9216*a\/7 = 0.\nAnswer: -2, 0, 4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 31 - 71 = 0. What is the remainder when 111 is divided by m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 93631924 + 32*y**3 - 93631924 - 4*y**2 in the form q*y**2 + f*y**3 + z + n*y and give f.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300 = 56*m - 5*m - 26*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, s: 2}. What is prob of sequence yyy?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*k - k - 1176 = -3646. Solve 0 = 29*z - k*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20241 - -20337) + (-1 - 55).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 1\/120*v**6 + 10*v**2 - 1\/24*v**4 + 0 - 1\/3*v**3 + 0*v + 1\/10*v**5. Determine f(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -18. Solve m - t = -g, m - g - 1 = -5*g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 5*h - 47, 34*p + 2*h = 42*p + 44 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -10*n**3 + n**2 + 8*n + 3. Let a be i(-3). Differentiate -a - t**3 + 5*t**3 - 2*t**3 - 7*t**3 + 2 wrt t.\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111030 (base 5) in base 16?\nAnswer: 4c3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -7*d**3 + 2*d**2 - d + 2. Let w(y) = 14*y**3 - 5*y**2 + y - 5. Suppose 17 = f - 3*v, 15 = -f - 4*v + 4. Give f*b(l) + 2*w(l).\nAnswer: -7*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = -13*n + 10*n. Let z = 73 + n. Let x(k) = k**3 + 4*k**2 - 3*k - 1. Let q be x(z). Solve -v - 4 = t, -4*t - 2*v - q = -3*v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -14*c**2. Let t(z) = -21*z**2. Give q(t(f)).\nAnswer: -6174*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h + 48. Let f(k) = -93*k. What is f(u(q))?\nAnswer: 372*q - 4464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 201879017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 691 in ascending order.\nAnswer: -3, 5, 691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*r**3 + 104*r**2 - 14*r**3 - 2*r - 97*r**2 - 32 + 34 + 14*r**3 as x*r + w + g*r**2 + y*r**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68 by 4606.\nAnswer: 34\/2303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 816 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 39 - 9. Suppose y*v - v = 0. Suppose v = x - 2*b - 0 - 14, x + 4 = -4*b. Calculate the highest common divisor of x and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5225 - -5225.018892. Let u = -0.019 + z. What is u rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -306 + 309. Which is the closest to x? (a) 0.5 (b) -0.1 (c) 5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -8*z**3 + 6*z**2 = 0.\nAnswer: 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2540 and 540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3328 - 0.3328. What is the closest to -17 in h, -4, 0.02?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1400*q + 1330*q + 4 - 4111*q + 1382*q - 1.\nAnswer: q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 1, 2, 3, 4, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2867 + 2870. Let o(w) be the second derivative of 5\/6*w**r - 5\/42*w**7 + 1\/3*w**6 - 5\/6*w**4 + 0*w**2 + 0 - 3*w + 0*w**5. Find n, given that o(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2796177316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31567?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 7*m**2 - 6*m + 6. Let x be h(-8). Suppose y - x = -y. Suppose 2*i + 269 = -y. Round i to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-2 - -6) - (0 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d**4 - 3*d**2 - 3*d - 6. Let o(i) = 15*i**4 + 8*i**2 + 8*i + 18. Let v(u) = 3*o(u) + 8*t(u). Find the first derivative of v(h) wrt h.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 2. Let r be k(7). Sort 0.5, r, -5\/4, -1.\nAnswer: -5\/4, -1, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2. Let c = -1 + h. Let i = 2 + c. Put i, 5, 2 in ascending order.\nAnswer: i, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - 12 - ((15 - 13) + -5 + 1 + -2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 213578, 213582, 213586, 213590, 213594?\nAnswer: 213598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - s. Let j(b) = -b**2 - 3*b + 1. Let c(p) = -5*d(p) + 2*j(p). Let m be c(1). Let a = m - -41. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 1:20 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001111 - -101?\nAnswer: 10010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-1)\/(-2) - (-148)\/8. Find the first derivative of v + 17 + 1 - 8 + 6*g wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**2 - 354*g - 10443 = 0. What is g?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1836, 7396, 16678, 29694, 46456, 66976?\n\"Answer: 2*k**3 + 1849*k**2 - k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) + 40\/(-6). Let q be (2\/s)\/(6\/(-18)). Let b be (-20 + q)\/(5\/(-10)). What is the highest common divisor of 57 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -6. Suppose -2*n + a + 4 = 0. Does 19 divide (-116)\/(-6) + 4\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/8*((-21)\/(-3))\/(-98).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 - 2719650*g + 369824806125.\nAnswer: 5*(g - 271965)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 331 divide 338282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 293066329 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 519568.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from skssyksyssrs.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 8, t: 2}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71591?\nAnswer: 13, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*7\/35*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/10)*p*p\/p**(-8\/9)*p*p*(p*p**(-1\/2))\/p*p*p\/(p**24\/p) assuming p is positive.\nAnswer: p**(-752\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 157 - 150. Let o = -3.95 - 0.05. What is the second biggest value in m, o, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 710368121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2. Let g(b) = 436*b**2 - 35*b + 7. Let u(f) = 217*f**2 - 21*f + 4. Let a(o) = 3*g(o) - 5*u(o). Calculate r(a(y)).\nAnswer: 99458*y**4 + 892*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**3 - 6*u**2 - 3*u = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1560 + 1633. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 y when four letters picked without replacement from oooolooyyoyoyyqlqoq?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0854 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 194 = -4*y, 2*y - 10450*i - 102 = -10455*i for y.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/9)*n*n\/((n**(-15\/8)\/n)\/n) assuming n is positive.\nAnswer: n**(431\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 + 3*i + 3. Let d = 13 - 16. Let a be (0 - 3) + 4 + d. Let j be c(a). Solve 0 = 5*k + v - 17 - 12, -3*k = -5*v + j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 10 = -m, -m + 7*h - 3*h + 19 = 0. Let g be (-1 + m)\/(21\/28). Solve -4*f + 4 = s, -2*f + s - g = -s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 71.03719 decades?\nAnswer: 7.103719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*h*t**3 - 375*h*t**2 wrt t.\nAnswer: -240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*1*(-86805)\/3215\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24\/7 + 247\/70. What is the nearest to 0.1 in 0, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 10*k - 1. Let i be (3\/4)\/(36\/144). Suppose i*o - 12 = 2*l, o + 5 = -l + 3*o. Give t(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52917171 to the power of 1\/4, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/3, 1, -4\/5, -2\/21?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-1 + 1 - -1)) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*t + 19*t + 3394*t**3.\nAnswer: 3394*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s + 2. Let t(r) = r + 11. Let n be t(0). Let f(c) = -c + 1. Calculate n*f(o) - 6*d(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3\/5 + 1632*j**2\/5 - 9846*j\/5 + 14796\/5 = 0. What is j?\nAnswer: -822, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t + 11. Let j be l(9). Let q = -42 + j. Is (-1 - -2)*(2 + q) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.986 - -0.114. Let w = 7 - v. Put w, -0.4, 0.1 in descending order.\nAnswer: 0.1, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -231, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - -0.32. Let l = 0.78 + q. Let o = l + -0.2. Round o to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6156679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127645, 255426, 383221, 511036, 638877, 766750, 894661, 1022616?\nAnswer: 1150621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640112641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/518314023 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - 14744\/494 - 36\/(-273).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 26 = 4*u, -3*u = 182*v - 181*v - 16 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 4*l**2 + 0*l**2 + 13*l + 3*l**2 - 13*l + (0 - 2*l + 0)*(l + 0*l + 0*l) + 1 - l**2 - 1 + 5*l**2 + 0*l**2 - 4*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*b + 9*b + 41*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q. Let a be p(6). Let i be (-1)\/((-105)\/a + -3). Solve 5*c - c - i = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k - 3*k**2 - 3*k**2 + 4*k**2 - 3 + k**4 + k to f*k**3 + r*k**2 + d*k**4 + t + p*k and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 135 + -134.37. Let g = 0.724 - a. Round g to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6778629.838 to the nearest ten thousand.\nAnswer: 6780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.416006kg?\nAnswer: 416006000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6 + c + c + 3*c - 4*c. Calculate i(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 31*j**2 + 2*j + 103. Let h be r(-31). Solve -h + 131 = -18*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 21*g - 29. Let z be n(5). What is the highest common divisor of 57 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16302 and 1482.\nAnswer: 16302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(490)\/(3*sqrt(10)*1))\/((-2*sqrt(175) + sqrt(175))*2).\nAnswer: -sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 120 + -842\/7. Let d = 0 - 3. Which is the biggest value? (a) r (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203 = 31*j - 17 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/9)*v*v*v*v**(-2)*v*v*v)\/((v**(-1\/4)\/v*v)\/v*v)**(-17) assuming v is positive.\nAnswer: v**(-5\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92 - -92.1. Which is the nearest to 2? (a) 2 (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.9 (b) -2\/7 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1\/3, -6, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -6 - 3. Let h(a) = 1327*a - 7936. Let x be h(6). Solve 4*k + 0*k - 4*i = 24, 0 = -r*k + 5*i + x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -837147428143?\nAnswer: 837147428146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/19 (b) -0.4 (c) 1.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -59240 + 180168713?\nAnswer: 180109473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14086, -28356, -42626?\nAnswer: -56896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 73b8a7 (base 15) to base 5\nAnswer: 2402202312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -51 + 11. What is the highest common factor of f and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 0*f**2 - 4*f**2 + 5*f**2 + 8*f**2. Let v(n) = -n**2. Give m(v(d)).\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.378 + -1.28894. Round d to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628529 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {c: 17, i: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24133772 is divided by 378?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 7) in base 9?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 2 + 2 + 2 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -886, -1817, -2750, -3685?\nAnswer: -4622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 63 - 27 - 17 + 24*b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 671920273 to the nearest integer?\nAnswer: 25921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 3. Let j be r(-8). Suppose -m = 4*m + j. Let a(v) = -9*v**3 + v**2 + v. What is the units digit of a(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*c + 85*c = -2*a - 5, a + c - 5 + 11 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 9 = -0*k, 4*k + 9 = -b. Suppose b*g - 16 = -4. Let -5 - 5 - 8*x**2 - 4*x**3 + 16 + 2 + g*x = 0. Calculate x.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 1. Let n(m) = -m**2 - 8*m - 10. Let v(b) = 2*d(b) - n(b). Calculate the remainder when 13 is divided by v(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-215460)\/50274 - 57\/(-14)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 2*c + 2. Let a(y) be the first derivative of -y**3\/3 - y + 303. Calculate -2*a(g) - p(g).\nAnswer: g**3 + 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/(-12))\/(-6 - (4 - 14)). Let j = 6 - 6.3. Let i = j + 0.22. Which is bigger: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239053.3 decades to millennia.\nAnswer: 2390.533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/5 and (-5282)\/(-6954) - (0 - 2)\/(-2).\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4}. What is prob of picking 3 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 15, 5*y + 3 = -z + 2*z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 5. Put -4, 4, c in ascending order.\nAnswer: -4, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from foobboo. What is prob of picking 1 f and 2 o?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -56839*k - 366. Let v(m) = -7105*m - 43. Give 2*p(q) - 17*v(q).\nAnswer: 7107*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 117841?\nAnswer: 5\/117841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) -1\/3 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -94 + 103. Let k(p) = -2*p**3 - 5 - i*p**2 + 10 + 2 - 1. Let o(x) = -2*x**3 - 10*x**2 + 7. Let t be (3\/3)\/(1\/(-6)). What is t*o(c) + 7*k(c)?\nAnswer: -2*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a day?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 1)*(-3*p**2 + 5*p**2 - p**2) + (-p**2 + 2*p**2 + p**2)*(63 - 22 + 34) as u + i*p + z*p**2 and give z.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3305 - 3304. What is the second biggest value in v, 141, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 137088 and 512.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78751 - 56103. What are the prime factors of c?\nAnswer: 2, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - s - 4*s)*(0 + 0 - 2)*(-10 + 14 - 12) as o*s + i and give o.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40206.00017557 - -40206. Round r to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 122140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a hour in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 7*o = -3*o + 4, -c + 8 = -4*o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*a - 3. Suppose -348 = 134*g - 137*g. Let f = 148 - g. What is the highest common divisor of a and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34980 divided by -8745.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3081957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/2 - 4*g**3 + 57*g**2\/2 - 50*g + 26.\nAnswer: -(g - 2)**2*(g - 1)*(g + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from anxxxax?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 244 = 3*o, -2*o + r = 2*o - 321. Let m(l) = 18*l - 9*l - 8*l. Let v be m(8). Calculate the greatest common factor of v and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 206740361*h**2 + 206740237*h**2 + h.\nAnswer: -124*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1250 divided by -125\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (222\/7030*-57)\/(3\/9)?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1430 at most -1430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001111001001010000001 (base 2) in base 8?\nAnswer: 11711201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -93 - 77. Suppose -b = -7 + 64. Let v = p - b. Is 23 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9816.3 kilograms?\nAnswer: 9816300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**7\/6300 + u**6\/300 - 3*u**5\/100 + 17*u**4\/12 - 2*u - 13. Let t(h) be the third derivative of z(h). Factor t(i).\nAnswer: -2*(i - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025 take away -1.96?\nAnswer: 1.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-15)\/6*(-12 + 4) and 204.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2252, 2239, 2220, 2195?\nAnswer: 2164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 17*z + 64020 = 0. Suppose -4001 - z = -7*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17994787 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 802, 3018, 6702, 11854?\n\"Answer: 734*y**2 + 14*y + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, r: 7, z: 1, t: 1, g: 6}. What is prob of sequence zr?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 14055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 283861789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5805 + 268*y**2 + 64*y - 5805.\nAnswer: 268*y**2 + 64*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0892977 litres in millilitres?\nAnswer: 89.2977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -758*c**2 + 249*c + 2945. Let q be s(-13). Round q to the nearest one thousand.\nAnswer: -128000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/1*0\/10. Suppose u = o - 4*m - 6, 46 = 4*o - o + 2*m. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 150.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000098498 rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 9*h - 29. Calculate the least common multiple of 56 and c(12).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(-5))\/((-4)\/346). Let q = 305 + j. List the prime factors of q.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 101*w - 60*w + 1 - 29*w - 1. Let b(j) = 10*j + 4. What is s(b(y))?\nAnswer: 120*y + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -123*a**2 - 188*a - 363. Give t(-2).\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 20, 28*w - 5*r - 47556 = -47497 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-2 + 5 + 2 + 6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from szesphzepehee?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 5*b + 21 - 5, 2*b = 10. Solve 3*w = w + 3*i - 6, 2*i = -p*w + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**3\/2 - 17*u**2 - u. Let m be o(-12). Suppose m*i - 207 + 21 = 0. Does 31 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2 + -3. Let y = p + 0.5. Let w = -1282\/5931 + -4\/659. What is the biggest value in 1, y, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -6.3 (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -r. Suppose r*i + i - 110 = 0. Let n(g) = -g**2 + 17*g + 22. Let l be n(17). Calculate the highest common divisor of i and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfs when three letters picked without replacement from srwbfssfwblwwrf.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-g + 4*g + 0*g)*(-59 + 59 - 8*g) + 3*g**2 + 13*g**2 - 6*g**2)*(0 + 0 - 2*g**3).\nAnswer: 28*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0, 1\/3, 1\/1246, -3\/2, 0.9 in decreasing order.\nAnswer: 0.9, 1\/3, 0.1, 1\/1246, 0, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - u + 6 + 2*u - 5. Let i be z(2). What is the highest common divisor of 55 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/732, 2\/13, 2\/7?\nAnswer: 1\/732","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -26022?\nAnswer: -26022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2325.66 from 158.87.\nAnswer: 2484.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x**2 - 3. Suppose 3*t + 2*w = -0*t - 28, 3 = -3*t + 3*w. Let n(h) = -5*h**2 + 2. Determine t*n(m) - 4*l(m).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1299, -1283, -1253, -1203, -1127, -1019?\n\"Answer: c**3 + c**2 + 6*c - 1307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -55. Let b = i - -30.975. Let k = b - -0.025000041. Round k to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8*h**3 - 5*h**2 + 10*h + 11. Let u be y(-1). Sort 3, 0, 5, u, 45 in increasing order.\nAnswer: 0, 3, u, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 551, 1123, 1691, 2255, 2815?\nAnswer: 3371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 158750 (b) -5 (c) 6 (d) -1\/3 (e) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 25\/9?\nAnswer: 25\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48893 - -95614. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 7:14 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 4*d, 5*d = -2*w - 0 + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0524 - -1.0524. Which is the third smallest value? (a) -1 (b) 871 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-18)*(-2 - -299). Suppose 0 = -9*j - 0*j + r. Calculate the remainder when 21 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60 + -58. Suppose -27 + 7 = -l*n. What is the greatest common divisor of 15 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-42) - 282\/(-423))\/((-2)\/((-12)\/18))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 508 + 2021. Let x = s + 1320. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 1786.174 (c) -0.1 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 136*o**2 - 4 + 134*o**2)*(38*o**2 + 9*o**2 + 10*o**2).\nAnswer: -114*o**4 + 912*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + k = 6 + 6, -4*c + 3*k + 14 = 0. Suppose 7 = 5*i + 3*q - 6, 5*i = -q + 11. What is the second derivative of 36 - 36 - 4*f**c + i*f wrt f?\nAnswer: -80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(-1 + 3 + 15). Let l = 128 + t. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2818, 4, 0.2, -2, -0.5, 1 in increasing order.\nAnswer: -2818, -2, -0.5, 0.2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (89 - 89 - 15*z)*(0 + 1 - 6)*(-6 + 3 + 1)*(0*z - 2*z + 0*z) to u + m*z**2 + g*z and give m.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*k - 203 = -4*l, -2*k - l = -127. What are the prime factors of k?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 7 = -5, 4*s = z + 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6*j - 58. Let r be m(2). Let n = 78 + r. Solve 0 = -3*a + n*a + 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 6*z**2 - 2*z + 4. Let x be f(6). Let j be (3\/(-6))\/(1\/x). Suppose t + j = 14. What is the remainder when 29 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-282)\/(-26) + (-20)\/(-130). Let v(t) = t**2 - r*t**3 - 3*t**2 - 1 + 5 - 4*t**3. Is v(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41.4 + -40. Which is the second biggest value? (a) 0.4 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10402 + 10402. Let h = -8 - -8.3. What is the closest to 4 in h, -1\/7, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 311566576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9310 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*c = 14*c + 35*c - 2790 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7571, 15153, 22759, 30389, 38043, 45721, 53423?\nAnswer: 61149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(300)*5)\/sqrt(6) + ((-2*sqrt(8)*-2 - sqrt(8) - sqrt(8)) + sqrt(8))\/(sqrt(16) - sqrt(64) - sqrt(16)).\nAnswer: -303*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/1122*198\/(-11)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.5 (c) 672\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 327 - 85315?\nAnswer: -84877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 67231.78 meters?\nAnswer: 6723178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*t**(-14)\/t*t*t)\/t**(-17\/3)*(t\/(t*t\/t**(-23)))\/t**2)**(-37) assuming t is positive.\nAnswer: t**(3367\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110323 = -3*f - 2*h, f + 3*h + 147086 = 5*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 11*f**2 + 52 + 0*f**2 + f + 2*f**2 - 37. What is the units digit of q(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, s: 1, p: 2, b: 2}. What is prob of sequence bs?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 92464 smaller than 92463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 11*l**2 + 10*l + 14. Give n(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15805\/9 - -1763. Suppose 5*o + 6 = -99. Find the common denominator of 2\/5*o\/14 and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8084a4 (base 15) to base 12\nAnswer: 2063a3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3684 by -37.\nAnswer: -3684\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y - 41. Let z(s) = 4*s - 62. Let d(m) = 8*q(m) - 5*z(m). Let p be d(11). Let f = p - 22. What is the greatest common factor of f and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 + 0*y**2 - 3*y**2)*(913*y**2 - 5630*y**2 + 231*y**2).\nAnswer: -4486*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1. Let q(t) = 11*t - 1. Let k(n) = -5*n. Let v(g) = 9*k(g) + 4*q(g). Give 2*a(s) - v(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 4:45 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3509 or 7015\/2?\nAnswer: 3509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-30)*(-6)\/(-12)*10\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -15, 0.8, 2\/101, -2?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-30\/7)*y*y**(-2)*y*y*y assuming y is positive.\nAnswer: y**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32763)\/(-1) + (-5 - -18) + -14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*m - 55 - 193 = -62. Let o(j) = -j + 6. Let g be o(3). Which is the second biggest value? (a) m (b) g (c) -8 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/((-850)\/(-150)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.905927ml in litres?\nAnswer: 0.006905927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/8 (b) 11 (c) -0.8 (d) 0 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6633?\nAnswer: 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*l**2*v - 7*l**2*w**2 - l*v*w**2 - 5*l*w**2 - 15*v*w**2 wrt l.\nAnswer: 92*v - 14*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 + (-42164)\/249 - (2 + 14\/(-6))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u - 47*u + 1193 = -15*u - 211 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9400 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 62. Sort -5, c, -1\/22 in ascending order.\nAnswer: -5, c, -1\/22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3*c + 2)*(204 + 172 + 49) as a + p*c and give p.\nAnswer: -1275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2592)\/(-80) + -36)\/(1\/5*-3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 180810*p**5 + 21*p**3 + 2*p**2 - 1979404*p.\nAnswer: 3616200*p**3 + 126*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**6*v**(1\/15))\/(v\/(v*v*v*v**(-5\/4))*v**(-11)))**(-1\/14) assuming v is positive.\nAnswer: v**(-1129\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6602023527?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 7. Suppose b - 5*b = -40. Let v be u(b). Which is smaller: v or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 4 = 0, 0 = 5*g - 10*g - 5*w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-4)*(-2)\/1)\/((-105)\/21).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u - u)*(-6*u**3 + 6*u**3 + 5*u**4) + 23*u - 8*u**4 - 48*u**5 - 53*u + 31*u - 2.\nAnswer: -53*u**5 - 8*u**4 + u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.068, -17, 73, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + -2*sqrt(343) - (0 + sqrt(343) + (sqrt(343) - sqrt(343)*-2))))**2 + (sqrt(343) - (sqrt(343)*2*-3)**2) + (sqrt(343) + 3)**2 + -2.\nAnswer: 49*sqrt(7) + 432530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kww when three letters picked without replacement from wwxkxkwxx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93*t - 93*t + 87*t**2)*((t**2 + 0*t**2 - 3*t**2)*(0 + 5 - 3) + 3*t**2 + 0 + 0).\nAnswer: -87*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82999 is divided by 399.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12*((-5)\/2 + 2). Let d(w) be the second derivative of w**5\/120 - w**4\/24 + 4*w**3\/3 + 17*w. Let c(x) be the second derivative of d(x). What is c(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - q. Suppose 82*l - 272*l - 1212 = 113*l. Sort l, q, 51 in descending order.\nAnswer: 51, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 257 + -253. Suppose -5*s = w*t - 28, -11*t + 34 = 5*s - 9*t. Solve g - s = -11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -395+1887770675\nAnswer: 1887770280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2\/13, -8.4 in descending order.\nAnswer: 9, -2\/13, -8.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -1 + (-87 - -74) - -40.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - y - 3 + y - 3*y + y + (1 - 2 + 0)*(-2*y + 2*y + 2*y) - 4 - 2*y + 4)*(0*y**2 + 0*y**2 - 6*y**2).\nAnswer: 36*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j + 354 = 3*c, -2*c + 225 = -3*j. Suppose 13*h = -11*h + 12 + 204. What is the greatest common divisor of h and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1846739, 4, 0 in decreasing order.\nAnswer: 4, 0, -1846739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1992)\/16)\/((-3)\/6) + 4. Let o = w + -243. Suppose -4*i - 1 = -5*b, 2*b - 2 = 2*i - 2*b. Calculate the smallest common multiple of o and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2 - 2 + 4*q. Suppose -6 = -2*r + 2*m, -3*r - 3*m - 2 = -5*r. Let g(b) = -3*b + 0*b + 5*b. Determine r*g(j) - 4*y(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-6))\/(3\/9). Sort 3, h, 0.\nAnswer: 0, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 7*h**2 + 6*h - 10. Let y be z(5). Which is the second biggest value? (a) y (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 + 5*u**4 - 2*u**4 + (0 + 3 - 5)*(-3*u**4 + u**4 + 4*u**4) - 4*u**4 + 0*u**4 + 5*u**4 + (-5*u**2 - u**2 + 4*u**2)*(0*u**2 + 6*u**2 - 4*u**2).\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 504 and 115308?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s + 26. Let a be z(-6). Let b be (a\/8)\/(18\/(-192))*-9. Suppose -4*i + 528 = b. What is the highest common factor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o + 8. Let a(y) = -2 + 2 + 1. Give 6*a(m) - z(m).\nAnswer: 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*o + 2*z + 8, -3*o + 3*z = -3. Factor 10*t**4 + 49*t**5 - 17*t**2 + 20*t - 15*t**3 - 24*t**5 - 20*t**5 - o*t**2.\nAnswer: 5*t*(t - 1)**2*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiyziiaaiiaaiiwaiayi. What is prob of picking 3 i?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0*76050\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -19*m**5\/2 + 279*m**4 - 1180*m**3 - 4977*m**2 + 70875*m\/2 - 49950 = 0.\nAnswer: -5, 3, 5, 444\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by (2 - 2\/4)\/((-9)\/(-174))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t**2 - 2*t - 3. Let s(o) = 16*o + 1106. Let y be s(-69). Let q(d) = -13*d**2 + 4*d + 7. What is y*q(m) + 5*p(m)?\nAnswer: 4*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**4\/3 + 1618*s**3\/3 - 2440*s**2\/3 - 1624*s\/3 = 0. Calculate s.\nAnswer: -406, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 - -71. Let c be (v\/54)\/((-6)\/16). Let k = 514\/621 + c. Is k <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6628816, -13257634, -19886452?\n\"Answer: -6628818*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13988276 * 3.\nAnswer: 0.41964828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/182 and -97\/2156960.\nAnswer: 15098720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 2 - 2)*((1 - t - 1)*(-2 + 2 - 3) + (-3*t + t + 4*t)*(-1 - 2 + 0) - 2*t - 2*t + 2*t) + 4*t**2 - 4*t**2 - t**2.\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*s + 2, -4*s = 7 + 5. Which is the closest to i? (a) -5 (b) 0.3 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*-6*6*(sqrt(75) + (3 + sqrt(75) + -2)**2).\nAnswer: 2700*sqrt(3) + 13683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 0*j - 2*j - 574*j**2 + 3 + 2*j + 573*j**2. Let g be (0\/3 - 1) + 4. What are the prime factors of v(g)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b**3*u + 138*b*u**3 + 2818*u**3 wrt b.\nAnswer: -12*b**2*u + 138*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/((-120099)\/(-86))*-1?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = i + 2*u, 4*u = -5*i + 2*i + 24. Let m = 35 + -48. Put i, 5, m, -2 in ascending order.\nAnswer: m, -2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9372847?\nAnswer: 11, 617, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**4 + 7*z**4 - 4*z**4)*(z + 2*z + 4*z) - 26*z**3 + 26*z**3 + 25*z**5.\nAnswer: 88*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + -4561?\nAnswer: -4575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.0678 - 15.1. Let q = h - 0.0041. What is q rounded to three decimal places?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -o**4\/2 + 2*o**3 - 5*o**2 + 3*o - 4. Let u be p(5). What is the units digit of (-4)\/(-16) + u\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2564, -2556, -2534, -2492, -2424?\nAnswer: -2324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(2736)*4)**2 + (sqrt(2736) - -1*(sqrt(2736) + -1 + sqrt(2736)))**2.\nAnswer: -72*sqrt(19) + 725041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28248100 and 1100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 2*o - 3. Let s be g(-4). Let a(y) = -y. Let f be a(3). Let b = s + f. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 52*u + 152. Let m be i(-3). Which is the closest to -51? (a) 4 (b) m (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 1. Let j be (20\/(-4))\/(-5) - (-2 - 0). Let i(u) = u - 2. What is j*w(d) + i(d)?\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1492062\/5 + -298412. Solve -24\/5 + 16\/5*c - u*c**3 + 2\/5*c**2 = 0 for c.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15 + -3)*2\/6. Let y = 765.5 - 766. What is the closest to 1 in 0.3, v, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 102963217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/6)\/(i\/(i*i*i**19))*i*i**(-31)*i*i**(-3) assuming i is positive.\nAnswer: i**(-71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-35) + 78\/21. Find the second derivative of 12*c + 22*c**f + 27*c**2 - 7*c**4 - 27*c**2 wrt c.\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 53, 103, 153, 203?\n\"Answer: 50*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 16*b**2 + 14*b - 32. Let z be s(16). What is the greatest common factor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**2*s**2 + 4*j**2*s - 4*j**2 + 10*j*s**2 - 29*j wrt s?\nAnswer: 4*j**2*s + 4*j**2 + 20*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/1 + 6 + 8310\/(-2976) and -27\/155.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 9452*l**2 + 94444*l - 760 = 0.\nAnswer: -10, 19\/2363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 6 (c) -0.1 (d) -2\/7 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/6666 and -25\/108.\nAnswer: 119988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -396*u**2 + 1 + 2*u**3 + 2*u**4 - 3 + 13*u - 3*u**3 + 396*u**2 in the form w*u**3 + r*u**4 + g*u + m + q*u**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 13*t**2 - 3*t + 15. What are the prime factors of n(-13)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 16\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -901 - -900. What is the biggest value in 1\/3, -5, q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*o**4\/2 - 2714155*o**3\/2 - 21444793*o**2\/3 - 1833826*o - 361940\/3 = 0. Calculate o.\nAnswer: -5, -2\/15, 36194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4494, -4777, -5538, -7017, -9454?\n\"Answer: -40*k**3 + k**2 - 6*k - 4449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 3, -1, -3, -11, -9.07 in decreasing order.\nAnswer: 3, -3\/4, -1, -3, -9.07, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 10:59 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + 1. Let v = -3.5 - o. Let a(b) = -b + 5. Let q be a(7). Sort q, v, 3 in decreasing order.\nAnswer: 3, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2101 (base 13) in base 5?\nAnswer: -121224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 2*c + 30, 1331*r = 1330*r - 2*c - 6 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1374.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + (-9 - (-5 - -2)) + -2 + (8 - 8)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121512 and 42984870?\nAnswer: 171939480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 7. Let v be b(-4). Suppose 8 - 2 = 3*c. Suppose c*p + 8 = -3*j, 2*j - 2*p - 1 = -3. Which is smaller: v or j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -13. Suppose -y = -6*w + 50. Calculate the least common multiple of 6 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 7 + -10 - (-5 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*i - 56, -2*b + 5*b = -4*i + 52. Solve -4*r - i = -3*d, -r - 4*d = -0*r + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 36*g = -97, g - 17 = -w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3735)\/((-18)\/1584 + 4\/(-11))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -46*j + 14. Let b(q) = -26*q + 8. Let x(z) = 7*b(z) - 4*g(z). Let r(u) = u + 880. Give x(r(a)).\nAnswer: 2*a + 1760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19744, -39393, -59064, -78769, -98520, -118329?\n\"Answer: -2*u**3 + u**2 - 19638*u - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/((3\/(-2))\/((-10)\/(-20)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 231534570 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31*-8*15\/(-40)*33\/(-99).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2715169316 to the power of 1\/3, to the nearest integer?\nAnswer: 1395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -19 + -2 - (-8 + 6). Let o = f + 21. Suppose 0 = o*w - 5*v + 1 - 0, -3*w - 2*v + 8 = 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -20031?\nAnswer: -20030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-18))\/(((3\/30)\/(-1))\/((-62)\/(-2325)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 - 123*q**2 - 31*q - 5762. Give o(-62).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - ((3 - 3) + 2). Suppose -j + 2 = -i + 2*j, 0 = 4*i + 2*j + 22. Put x, -4, i in increasing order.\nAnswer: i, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 + a**2 - 3. Let s(z) = 3*z**3 + 4*z**3 - 4*z**2 + 10 - z**3. Suppose -f + 7 = -2. Let g = -1 - f. Determine g*b(r) - 3*s(r).\nAnswer: 2*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4623951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2296 and 355716?\nAnswer: 4980024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 4*s**2 + 4*s + 1. Let z be j(3). Solve y + 5 = 5*y - 3*p, 3*y + z*p - 10 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 22 - 13 = 0. Suppose -45 = b*d - 10*d. What is the smallest common multiple of d and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*o**4 - 34 + 115*o - 115*o wrt o.\nAnswer: -112*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4272853 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -4, -2 in descending order.\nAnswer: 2, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) 64 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/41*(-1 - 0). Let a be (-21)\/(-180)*70 - 286\/44. What is the closest to -5 in a, j, -3, -4\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(2\/(-303)*1). Suppose 10*j = 4*j + m. Let i = j + -37. Does 32 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 113, 123, 135?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 53 = -q - 6, -3*i = -3. Suppose 4*m - c - 431 = -0*m, 2*m - 2*c = 208. Calculate the remainder when m is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 11957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 492261783?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687719811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/4)\/(24\/(-64)). Let i = 22 + -16. Let o be (i\/d)\/(3\/(-20)). Solve -o = l + 4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 200864124 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 4 - 16. Solve 4*d = -4*t - 8, 2 = c*d + 3*t + 18 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.012 * 0.54\nAnswer: 0.00648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 127 + 143. Solve 0 = -3*j + j + b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 212311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o - 7. Let v(r) = 5*r - 15. Let d(m) = -9*p(m) + 4*v(m). Calculate d(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*k + 81, -2*k = -4*q - 22 - 50. Suppose 0 = -k*r + 34*r + 40. Solve -5*z - 5*v = r, 2*v + 12 = 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*d, -8*y = -4*y - d - 48. Suppose 0 = -3*r + 2 - y. Suppose -4*b + 41 = -3. Is r <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.06669 (c) -0.2 (d) -1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w - 1674 = 0. Let r = w - -936. List the prime factors of 50\/15*r\/15.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 5:11 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29105460, 29105455, 29105448, 29105439?\nAnswer: 29105428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -9. Let s = 2.9 - -9.1. Let z = b + s. Sort 5, -1, z in decreasing order.\nAnswer: 5, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3258215 + -218634.92?\nAnswer: -3476849.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -34*h**3 - 430*h**2 + 1187*h - 30. What is x(-15)?\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 6:36 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/18*12\/(-16)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-3) + 22\/6. Let l be (-2)\/(((-12)\/(-69))\/(-2)). Solve g = 5*f + l, 0 = -s*g - 0*f + 5*f + 19 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/1 + -3)\/(-2). Let y be (-1 - 0)*f\/6. Suppose 3*s + 2*s - 3205 = y. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 - 160*w**2 + 159*w - 238. Determine y(-81).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 7:46 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/6)\/(-1) + (-46)\/(-69) - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5604.3 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -45. Let g be (-1 + h + (-3)\/(-6))*16. Let b be g\/2 - (-2 + 66)\/(-2). What is the highest common factor of 54 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0*f**(1\/4))\/(f**(-1\/4))**(-24) assuming f is positive.\nAnswer: f**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -744 - -1162. Let z = 68 - -57. Let j = n - z. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110031240 (base 5) to base 14\nAnswer: -c3820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a century in years?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1322 = -4*j + 2306. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 50*(-3)\/((-30)\/4). Suppose 3*w = 2*v + 2, -2*w - 3*v = -5*w - 3. Calculate the smallest common multiple of d*(14\/5 + -2) and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18576 divided by -2064?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 10*p - 1. Let v be c(-5). Let i = -665 - -614. Let q = i - v. Solve 5*g + q - 20 = 2*m, 4*g + 12 = -4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2184\/(-10))\/(3\/((-540)\/24)). What is the highest common divisor of 637 and f?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*n**4*t**2 + 405*n**2*t**3 - 22*t**3 + 86*t**2 - 2*t - 13 wrt n?\nAnswer: 68*n**3*t**2 + 810*n*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-180)\/(-7794)*3\/705. Is h < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*-1)**2 + 5.\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*o**2\/4 - 453*o\/4 + 27\/2 = 0 for o.\nAnswer: -9, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*s + 2 - 10, -4*s = 5*c - 18. Suppose 5*t = c*t. Solve 2*r + 1 = -j + 7, t = 5*j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**3\/4 + 33*b**2\/2 - 219*b\/4 + 75\/2 = 0.\nAnswer: -25, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -13. Let f(c) = -20*c + 3. Let z(k) = -7*k + 1. Let w(u) = -6*f(u) + 17*z(u). Let g be w(j). Solve 4 = -g*s - 4*d, 5 - 16 = 4*s - 3*d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 78 + 142 + 68 + 6*m.\nAnswer: 6*m + 208","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-3)*-3*3\/(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25076.\nAnswer: 2, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 243917198 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*d - 34046 = -27890 for d.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuww when four letters picked without replacement from {u: 7, w: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -2*h**4\/3 + 3*h. Let s(y) = -4*y**2 + 2*y**2 + 3 - 3. Give s(j(t)).\nAnswer: -128*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52128 + 52082. Let k(h) = 2*h - 49*h + 0*h. Let a be k(1). Which is smaller: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**3 - 15*k**2 - 226*k + 37. Determine x(15).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8120.669l?\nAnswer: 8120669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (823 - 763) + -23 + 1 + 3\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 736491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n + 9 = -10*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 + 100*a**2 + 96*a - 101. Let v be l(-49). Sort -43, -6, 2, v in descending order.\nAnswer: 2, v, -6, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5. Let n(j) = 7*j - 18. Let c(t) = 3*b(t) + n(t). Let x(k) = 6*k - 4. Calculate -6*c(s) + 5*x(s).\nAnswer: -12*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 2*d**4 + 0*d**2)*(0*d + d + 0*d).\nAnswer: 2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8133826?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -69, -103?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 76*q - 300. Is z(12) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*y - 12045 + 4066, -3*y = 3*r - 11946. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2128.7 - -2129. Which is the closest to 32? (a) -5 (b) l (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 35?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-656)\/(-56) + -12 + 37\/7 + 1. Solve -30*u + a - 6 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -19. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2022\/18 - 2\/6. Let m be o - (-1 - -1)\/5. Suppose 6*b - 48 = 3*b. What is the greatest common divisor of m and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*s + 149138, 2*k + 0*s = -10*s + 74594. What are the prime factors of k?\nAnswer: 3, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34435617287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 - 108 = -7*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28698 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**7\/105 - 37*t**6\/30 + 2*t**5\/15 + t**3\/3 - 2*t**2 - 140. Find the third derivative of s(l) wrt l.\nAnswer: 48*l - 888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 - 56. Solve i = -0*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 408384, 408377, 408370, 408363, 408356?\nAnswer: 408349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*u)*(7*u + 5*u + 0*u) + ((3 + u - 3)*(1 - 5 + 3) - 3*u + 3*u - u)*(-3 + 3 - 2*u).\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 2*o**7\/105 - 2*o**6\/15 + o**5\/3 - o**4\/3 - 29*o**2 + 2*o. Factor p(v).\nAnswer: 4*v*(v - 2)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eetpqtn. What is prob of sequence tnq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1375 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q - 5*q**4 + q**3 + 146 - 3*q**3 - 147 to the form j + r*q**4 + o*q + g*q**3 + v*q**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127 + 75 + -70 - 54.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 148423 and 3.\nAnswer: 148426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.51 + 1.11. What is the closest to 1 in -3\/7, -0.06, u?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 4800001)\/(4\/10). Round d to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -41 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/5*j + 3\/5*j**2 + 1\/5*j**3 + 1\/5 = 0. Calculate j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 11*t**2 + 21*t - 28. Let x be i(8). Sort 5, x, 0 in descending order.\nAnswer: 5, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1366, -5, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.28 and -0.5.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 158101784?\nAnswer: -158101782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**4 + 6*f + 134*f**2 - 291*f**2 + 141*f**2 to r*f**3 + g + v*f**4 + w*f + c*f**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0161 - 78.1839. Let n = 103 + -193. Let g = n - b. Round g to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2)*a\/(a**2\/a) assuming a is positive.\nAnswer: a**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*t, -3*q - 47 = -2*t + 11. Let d = 5 + -11. List the prime factors of d\/5*q\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 101.2 (b) -2.063 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 0, 142 in descending order.\nAnswer: 142, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7))**45*(t*t**3)\/(t*t**(3\/11)) assuming t is positive.\nAnswer: t**(1200\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 4 = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((29\/116)\/((-10267)\/(-4))) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000101 (base 2) to base 8\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/12 + 31\/84. Let d = 7 - 5. Which is the nearest to p? (a) 3 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2348 is divided by 775?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676*p - 680*p - 25 = -7*s, -2*p + 6 = 3*s - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*c + 66*c + 44 = 0 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*p = 579, -797 + 7 = 4*g - 5*p. Let h be (-2 + 186\/(-9))*g\/10. Let u = h - 316. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273048 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21054 - 44*o**2 + 29812 - 50860.\nAnswer: -44*o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 101896898209 and -5?\nAnswer: 101896898214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -8*m. Let u be 1617\/(-126) + 2 + 11 + (-25)\/6. Put u, m, 0.1, -2 in decreasing order.\nAnswer: 0.1, m, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 184930 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence enen when four letters picked without replacement from qqnneennqq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0*x. Let j be x + 0 - 396\/(-6). Let c be (-3)\/(-1)*(-1 + 3). Calculate the highest common divisor of j and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 1 - 119 = -4*u, -2*q = 5*u - 125. Calculate the lowest common multiple of q and 70.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(-5))\/(-1*1). Suppose z*g - g = -13. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2302157?\nAnswer: 11, 13, 17, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -21. Is (x - 10) + (14 - 0) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 - (-18 - (46 - 100)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**3 - 1905*o**2 - 94725*o + 520625 = 0 for o.\nAnswer: -49, 5, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 2\/7 (b) -1\/70 (c) 217\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 + 44. Suppose d - 18 = -5*b, -2*b - o*b - 2*d = -18. Find the third derivative of -2*f**2 - 16*f**2 + 9*f**b + 4*f**3 - f**2 wrt f.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 989468776 - -0.5.\nAnswer: 989468776.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(363)*-2 - sqrt(363) - sqrt(363)).\nAnswer: -sqrt(11)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + t**3 - 2)*(t - 3*t + t) - 17*t**3 + 17*t**3 + 9*t**4.\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, -88, -184?\n\"Answer: -96*q + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, i: 2, v: 1, y: 1, z: 1, k: 2}. Give prob of sequence kz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1007 and 1908.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in 574, -31, -2\/273?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3 - 83*b**2 - 839*b + 923 = 0. What is b?\nAnswer: -71, -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -28*k**3 - 24*k**3 + 53*k**3 - 4*k**2 + 5*k - 15. Let q be i(4). Solve 3*r - q = -8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.583312 rounded to 2 dps?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/30)\/(82\/(-738)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/((-7)\/70)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (282\/(-329) + 73\/77)\/1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((306\/(-24))\/(-17))\/(45\/(-220))?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 256 and 34376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 312 - 5*o**2 + 751301*o + 5*o**2 - 751338*o.\nAnswer: (o - 24)*(o - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 16735?\nAnswer: -16731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 465 (base 7) to base 14\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oriroeeeooooeeoror. Give prob of picking 1 r and 1 o.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 2*g - 10*a - a = -8*a + 13, -2*g + 5*a + 22 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 6:32 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r**2*y**2 + 3*r**2 + 86*r*y + 532*y**2 + 2*y wrt y.\nAnswer: -4*r**2 + 1064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.1 - -12.1. Put -4, 3, i, 3\/4 in ascending order.\nAnswer: -4, 3\/4, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2685282533168 take away -23?\nAnswer: 2685282533191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5\/4 - n**3 = 0. What is n?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1255 - -1962. Let t = q + -420. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*f + 7*f = -3, -p - 4*f = -26. Suppose -p = -s + 7. Let h(l) = 3*l**2 - l - 2. What is the remainder when h(-4) is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*b = -2*m - 80, 0 = -5*m - 4*b + 130. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -962 - -1779. Calculate the greatest common divisor of v and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -11. Calculate the common denominator of (w - 2)\/(140\/(-133)) and -37\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 37. Suppose b = g, -608 - 682 = -5*n - 5*b. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -128.87.\nAnswer: -515.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/104 and (-71)\/(-455) + (-32)\/160.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278 times 0.15?\nAnswer: 41.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*v - v = -18, 0 = -2*r - v. Let w be -5 + 7 + r - 26. Put -2, w, 1, 2 in ascending order.\nAnswer: w, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffefhgnfg. What is prob of picking 1 n, 1 g, and 1 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**4 + 2*l**4 - l**4)*(24 - 12*l - 24) + 2*l**3 - 2*l**3 + 2*l**5 - 2*l**5 + 4*l**5 - l**5 + (0*l**2 - l**2 + 3*l**2)*(l**3 - 2*l**3 + 0*l**3).\nAnswer: 37*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -8*p + 24. Let a be d(10). Calculate the remainder when (a - -2)\/(2\/(-3)) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12401\/352 - 392\/11. Find the common denominator of y and 15\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311202021 (base 4) in base 16?\nAnswer: 35889","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523*i + 4380 = 13763 + 16775 - 5238 for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9579, -9450, -9259, -9012, -8715, -8374?\nAnswer: -7995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.84 + -19.64?\nAnswer: -20.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110534, -221079, -331624, -442169?\nAnswer: -552714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 - 2 + 1 + 2903*c - 2902*c - 3*c**2 + 2*c**2 + 0*c**2 + (-3*c + 4*c + 2*c)*(-2*c + 4*c + 0*c).\nAnswer: 6*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1117*f + 2500*f**2 + 2 + 1117*f - 1226*f**2 - 2 - 1277*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 5*a**2 + 3*a - 5. Suppose 0 = 4*d - 5 - 11. Is f(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 801.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**3\/3 + 2*b - 4. Let r = -137 + 140. Calculate the smallest common multiple of r and c(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -7 - -11 - (6 - (-16 - -77))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1.3, 3\/5, 2\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -77*x + 72*x + 70. What is the lowest common multiple of 6 and (-1284)\/(-76) + x\/133?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 133 = -3*g - i, 82 = 2*g - i. List the prime factors of g.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465923453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 + -17 - (10 + -2)) + -2 + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1, 0, -3\/4, 0.3, -18.7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 h when two letters picked without replacement from {g: 1, n: 1, l: 1, m: 1, h: 2, b: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z**2 - 5*z + 30. Let u(n) be the third derivative of -1\/24*n**4 + 2*n**2 + 1\/6*n**3 + 0 + 0*n. Let h(y) = -k(y) + 20*u(y). Factor h(o).\nAnswer: -5*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/3794 - 5702397\/18970. Let i = h + 12309\/40. What is the common denominator of i and -28\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**3 - 22*k. Let m(d) = d**3 + 7*d. Give -6*b(h) - 17*m(h).\nAnswer: h**3 + 13*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 13 - 20*y + 12*y - 7*y**3 + 8*y to the form i + g*y**2 + m*y**3 + f*y and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90338.\nAnswer: 2, 17, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**6\/80 + 3*w**5\/20 - w**4\/2 - 8*w**2 + w - 69. Let h(u) be the second derivative of d(u). Factor h(g).\nAnswer: -3*g*(g - 4)*(g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**3\/9 - 1060*r**2\/9 - 10750*r\/9 - 3000 = 0?\nAnswer: -5, 540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7866 divided by -2\nAnswer: -3933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 204 = t, -3*v - 140 = -0*v + 5*t. Let h = -27 - v. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 16 = 2*a, -14 = 4*t + a - 34 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w\/(w**(-1\/3)*w))*w)\/w**(-3))**43 assuming w is positive.\nAnswer: w**(731\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*((-124)\/8 - -4). Let f = p - -15. Let c(x) = -5*x - 14. What is the units digit of c(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + (sqrt(272))**2) + -3.\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 11*m**2. Let s(z) = 5*z - 5*z - 2*z. What is f(s(i))?\nAnswer: 44*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - ((-15)\/(-4) - 7\/(-28)). Let q be (-34)\/(-6) + b\/(-6). Let k(j) = q*j**2 + 5*j**2 - 9*j**2 + 5*j**2. Let p(w) = -2*w. Give k(p(a)).\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 574 = 14*n - 138*n - 2030 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 178.95?\nAnswer: -894.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1506428308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145006?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3291.993 kilometers?\nAnswer: 3291993000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1289 - -2\nAnswer: -1287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 0 - 1\/2*n**4 + 2*n + 1\/20*n**5 + 2\/3*n**3 + 5\/2*n**2. Suppose 22*b = -10*b + 12*b + 100. Calculate f(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588 is divided by 75?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*g - g**2 - 25*g)*(-1826 - 772 + 288 + 91)*(3 + 2*g - 3*g + 2) to the form h*g**3 + c + v*g**2 + r*g and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y - 18 = -86 - 40 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -8 - 1) + (4 - 12) - (51 + 2)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 3*a = -24, 2*m - 1315*a - 9 = -1320*a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2 + 19986173*s - 19986172 = 0. What is s?\nAnswer: 1, 19986172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 2*n = 8, 75*n - 77*n + 11 = -3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t\/(((t\/t**(-1))\/t)\/t)))*t)**(-27)*(t**(-1\/7)\/t)\/t*t*((t\/t**(6\/7))\/t)\/t*t assuming t is positive.\nAnswer: t**(-83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*y + 35*y - 5*y)*(-y + 2*y - 2*y + (-4 + 4 - 2*y)*(5 - 2 - 2)) in the form b + i*y + o*y**2 and give o.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4867 - -4868. Is j at most as big as 75\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 15 = -5*h + 5*t, 3*t - 33 = 3*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*(-3 + sqrt(242)) + -3 + 0 + (-2 + sqrt(242) + 3 - sqrt(242)))**2.\nAnswer: -11135 + 2310*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1565415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*f + 35*f + 4 = -6*t, -3*f = 2*t + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -417.35 - 114.65. What is the closest to n in 0.3, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(5\/(-10) + (-5)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1178.\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 3 - 11) + (-168 - (-59 - (33 - 36))).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 302 or -1\/8?\nAnswer: 302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.3644 take away 5?\nAnswer: 85.3644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 383632405?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 87422 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 36*a**2 - 2*a + 3. Let i(r) = 35*r**2 - 3*r + 4. Let d(b) = 3*f(b) - 2*i(b). Let y be (-3)\/9 - (-6)\/(-9). Is d(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*u + 0 + 0 + 101*u - 240*u.\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*x + 34 = 0, 10 = -4*g - 2*x - 4. Is 4 a factor of -3 - 0 - (g + -35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -338186, -676348, -1014510, -1352672, -1690834, -2028996?\n\"Answer: -338162*g - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(117) + (sqrt(117) - (sqrt(117)*2 - sqrt(117)))) + sqrt(117))\/sqrt(9).\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - (230 - 116) - -62?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 842969 + -842965. Let j be ((-2)\/(-3))\/((-34)\/6). What is the nearest to q in -0.4, j, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12180, -24309, -36438?\n\"Answer: -12129*u - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -338155 divided by -67631.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 11 = -2*t, 5*o - 9 = -3*t + 7. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/40 - (-8)\/(-30). What is the nearest to -3 in w, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.0619504 centuries?\nAnswer: 74.34048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*q**4 - 1117*q**3 - 10192*q**2 + 18579236.\nAnswer: -8*q**3 - 3351*q**2 - 20384*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.1285269.\nAnswer: 0.03855807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 94558 + -4?\nAnswer: 94554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -5*c - 5*n + 21, 5*c = 3*n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -29*m**2 - 40*m + 54. Let s(v) = 4*v**2 + 7*v - 9. Let l(t) = -2*r(t) - 13*s(t). Let a(q) = 3*q**2 - 5*q + 4. Give 13*a(n) - 6*l(n).\nAnswer: 3*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/6)\/(16\/24). Factor -8*c**3 + 2*c**4 + 81*c**2 - 165*c**2 - 4*c + 94*c**z.\nAnswer: 2*c*(c - 2)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 440 + -290. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122111 (base 3) to base 4.\nAnswer: -13120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30066554273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frfurruufurfrrru. Give prob of picking 1 f, 2 r, and 1 u.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224, -533, -1000, -1703, -2720?\nAnswer: -4129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 7*x + 35 = 0. Solve 3 = -2*k - x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 18*a + 129. Let l be v(23). Suppose 2*o - 4*d + 48 = 26, -2*o = -2*d + l. Is 13 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 8. Let y be r(-10). Solve -4 = 2*j - y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80 + 84. Suppose 0 = -w - p*y + 12, w = -0*y - 2*y + 10. Solve -r - w*r = 45 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -z - 12, -4*m - 6*z + 24 = -2*z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14340420.\nAnswer: 2, 3, 5, 79669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-144)\/(-60) - 15\/(-25). Solve -d*p + 2*p + 3 = -f, -5*f + 4*p - 12 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11704458 divided by -174?\nAnswer: 67267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/232200 and -1\/192.\nAnswer: 1857600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 1 + 10 - 41 - 22 - 4*h. Let s(a) = -a - 17. Let u(q) = -5*k(q) + 16*s(q). Differentiate u(x) wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**4\/4 - c**3\/3 - 3*c**2 + 2*c - 2. Does 18 divide p(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 2*m**2 - m + 1. Let v be c(-2). Suppose -5 = -a - 4*d + 55, 0 = v*a - 5*d - 95. What is the greatest common divisor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -113, -148, -183, -218, -253?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 9*n**2 + 3*n - 3*n**2 - 7*n**2)*(n + 3 - 3).\nAnswer: -n**3 + 3*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 15*t - 43. Let m be d(-6). Let o(n) = -n**2 + 4 + 3 + 10*n + 15. Calculate the least common multiple of 2 and o(m).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - d**2. Let c(j) = 12*j**3 - 6*j**2 - 7*j. Let s(u) = c(u) - 6*w(u). What is the second derivative of s(m) wrt m?\nAnswer: 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 5:31 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.4411 rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-2)\/(-11) + -1. Let h = 4.6 - 5. Let j be 37\/((-814)\/748) + 34. Which is the smallest value? (a) t (b) h (c) 0.4 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11194 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 146177*h**4*n + 3*h**3*n**3 - h**2 - h*n**3 + 34522*h*n**2 - 531*h*n + 2 wrt h.\nAnswer: 1754124*h**2*n + 18*h*n**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 greater than or equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 25, -5*u - 21 = 6*y - 8*y. Let c(v) = 25*v**2 + 10*v + 14. List the prime factors of c(y).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*f - 5*k + 48, -2*k + 2 = 0. Solve u = -5*v - 3, 0*v - f = -3*v + 5*u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2725700*f**3*k**2 - 344040*k**2 + 4 wrt f.\nAnswer: -8177100*f**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2476965239.429 - -0.5.\nAnswer: -2476965238.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71 or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116831 to the power of 1\/2, to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q + 2*q + 2*q)*(-1 + 5 - 2) - 4*q - q + 4*q to the form x*q + r and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 5 - (-8 - -36). Suppose 2*p - 65 = 93. Let h = x + p. Is h a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*x = 0. Suppose 5*r + 10 = x, y + 2*r + 3 + 6 = 0. Let h(k) = -3 - k + k**2 + 6 + 8*k. Give h(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5)*(-216)\/(-1440)*10\/(-3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -2\/19, 1\/6, 1\/3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3.323523nm?\nAnswer: 0.000000003323523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-15)\/21 - (-33)\/(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-1)\/(-2))\/1)\/(-47*29\/2726). Which is smaller: n or -2\/73125?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/420396 and -81\/26440.\nAnswer: 4203960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 2*f**7\/21 - 4*f**6 + 52*f**5\/5 + 40*f**4 - 448*f**3\/3 - 5326*f. Let r(l) = 0. What is l?\nAnswer: -2, 0, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8 and -1220462655558?\nAnswer: 1220462655566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8798? (a) 1 (b) -14 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = 22*d + 5*d. What is the remainder when d is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174, 172, 170, 168, 166, 164?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-3))\/(2\/42). Let r(f) = -f**3 - 6*f**2 + 7*f + 3. Let m be r(x). Suppose l - 9 + m = 0. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s - 157 = -221 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20002214*f**4 + 10*f**2 - 5*f + 256147.\nAnswer: 480053136*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1899418 or -1900003?\nAnswer: -1900003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 40*b - 2*b**3 - 54*b - 15 to the form v*b**3 + g + l*b + z*b**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/5 + 567837*q**2\/5 + 16121999712*q + 80609430724\/5.\nAnswer: (q + 1)*(q + 283918)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**3 - 4*m**3 + 20*m**3 + m + (2 + 3*m - 2)*(m - m - m**2).\nAnswer: 10*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*h = 8353, b + h - 7683 - 671 = 0. Suppose -b - 108240 = -9*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5903921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 - 3*c**2 + 7*c + 0*c - 4*c - 6. Let q(p) = -3*p**2 + 9*p - 17. Let l(x) = -7*o(x) + 2*q(x). What are the prime factors of l(-9)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4823*i**2 - 3366*i**2 - 4225*i**2.\nAnswer: -12414*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f\/f**1)\/f)\/f)\/f)**6)**(2\/85)\/(f\/(f\/f**(-2\/7))*(f\/(f**(-5\/4)\/f))\/f*f)**28 assuming f is positive.\nAnswer: f**(-7091\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p - 12. Let m be o(13). Let b(x) = -5*x**3 - 2*x**2 + 4*x - 5. Let u be b(-3). Let t = m + u. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -4\/7 (c) -7063\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*a, -a - 2 = -5*l - 5*a. Let k(x) = x + 4. What is the least common multiple of k(l) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m + 58 = 3*k, 27 - 5 = -2*k - 4*m - 14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2608, -2648, -2714, -2806, -2924?\n\"Answer: -13*d**2 - d - 2594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3515 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**3*j**2 - 9*f**3*j - 8101477*f**3 + 5025*j wrt j?\nAnswer: 4*f**3*j - 9*f**3 + 5025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 258 and 384162?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -160503, -160577, -160649, -160719?\n\"Answer: n**2 - 77*n - 160427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/21*-354*101\/(-202).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 37. Calculate the remainder when 74 is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 94*w - 96*w - 3866 = 0, 0 = r - 5*w - 1319. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 5:49 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*j = 5*j + 280772. Which is greater: -4131 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(308) + -6*(sqrt(308) + sqrt(308)*1 + sqrt(308)) + sqrt(308))\/(sqrt(176)*-2).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 94 + -28d4d1?\nAnswer: -28d43c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirteen quarters of a second?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*p - 2520 = -0*p + 23*p for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 17 = 267*t - 268*t, -2*d + 17 = -t for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267 = 125*x - 130*x - 11*z, 5*z + 195 = 3*x for x.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 2*k = 6, -31*z - 4*k + 27 = -36*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55602, 111225, 166866, 222525, 278202, 333897, 389610?\nAnswer: 445341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20443*x**3 - 38188*x**3 + 17743*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 3*g**2 + 2*g + 2. Let l be u(2). Let n(q) = 4*q**2 + 3*q**l + 7*q - 6 - 6*q**2. Does 8 divide n(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b - 15. Let u be g(-11). Let h = 11 - u. Suppose 0 = -3*l + h*l. Let w(y) = y - 5. What is w(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514147926 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144 - 142. Let y = -31\/2 - -16. Which is the closest to y? (a) 1 (b) 1\/9 (c) 4 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/2))**(-2\/7))**4 assuming g is positive.\nAnswer: g**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h - 11. Let m(d) = -14*d - 22. Let v(n) = -5*l(n) + 2*m(n). Let p be v(-11). Is p less than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 1509. Let x(d) = -5*d**3 - 7544. Let o(q) = 11*n(q) + 2*x(q). Is o(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -48371.\nAnswer: -48366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -0.1, -5, -1\/319?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004071 rounded to 4 decimal places?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 17731 (base 10) to base 4\nAnswer: 10111003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 6*f + 11. Let x be t(4). Suppose 8*a + x*h = 4*a + 120, 4*a - 96 = 3*h. What is the remainder when a is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/51 - 264\/(-2448). Let i(m) be the third derivative of 0 + 0*m + 7\/6*m**3 - 3*m**2 - d*m**4. Let n(v) = 3*v - 6. Calculate 5*i(t) + 6*n(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -7. Let a(k) be the third derivative of k**6\/120 - 4*k**5\/15 - k**4\/24 + 8*k**3\/3 - 12*k**2. Let t be a(16). Put t, r, 5 in descending order.\nAnswer: 5, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 10*l**2 + 3*l + 15. What is t(10)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1778 divided by 14?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2362 (base 16) to base 14\nAnswer: 3430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -8\/155, 1, 5?\nAnswer: -8\/155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1297396?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 49963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2174438*c**4 - 7*c**2 - 107827 wrt c?\nAnswer: -52186512*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100111 + 1011100000011111?\nAnswer: 1011100101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17121450?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -36\/7, 0.17 in decreasing order.\nAnswer: 0.17, -4, -36\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + (sqrt(204) + 2*sqrt(204))\/sqrt(12)*-1 + (-1*sqrt(612) + -3)**2.\nAnswer: 33*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 82 times -2987.482\nAnswer: -244973.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 595831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 y when three letters picked without replacement from mmmyyyymymccy.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**8\/40320 + z**7\/10080 - z**6\/720 - z**5\/60 - z**2. Let f(b) be the third derivative of w(b). Factor f(d).\nAnswer: (d - 1)*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155054d (base 15) to base 9.\nAnswer: -32045171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 528860, 528792, 528724, 528656?\nAnswer: 528588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 250 by 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -1\/2*n**2 + 1\/2*n**3 + 1\/4 - 1\/4*n**5 + 1\/4*n**4 - 1\/4*n = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00175146 rounded to four decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24.9158441891 + 0.0841549909. Let s = 25 - t. Round s to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157914267481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -5, -647159 in decreasing order.\nAnswer: 11, -5, -647159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + 1 + ((sqrt(80) + 2)**2 - sqrt(5)) + sqrt(5).\nAnswer: 20*sqrt(5) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 105*s + 19 = -103*s, 3*n - 4*n = -13*s + 63 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**2. Let q(l) = -2*l - 1. Let n(m) = 165*m + 20. Let f(d) = -n(d) - 20*q(d). Determine t(f(s)).\nAnswer: -46875*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwpnjfflpplppw. Give prob of picking 1 n and 1 l.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - 2 - (-260 - -174)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2664 and 7044.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b**2 - 4*b + 4. Let o(q) = 1. Let k(x) = 4*o(x) - r(x). What is the second derivative of k(u) wrt u?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**5 - 70*k**4 - 5*k**3 + 70*k**2 = 0. Calculate k.\nAnswer: -1, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/45 - (-51613)\/45. Let u = f - 1139. Let v = u + -22\/3. Sort v, -1, 0.07 in ascending order.\nAnswer: -1, 0.07, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -6\/16397?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -3, 1, 0, 2 in increasing order.\nAnswer: -3, 0, 1, 2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 321*s**3 + 36*s**2 - 27*s + 180. Let b(o) = o**3 + 2*o**2 - 2*o + 10. What is -18*b(d) + v(d)?\nAnswer: 303*d**3 + 9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45888629?\nAnswer: 19, 2415191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 33 = -2*l, 2*a - 33*l = -28*l - 55 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12812 (base 13) to base 14\nAnswer: -c718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 15*s = 13. Which is smaller: -11\/58 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -550.3 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88.28 + 86.28. Is v >= -927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 14) to base 16.\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 1*-2)*6\/24.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0\/k**(-5))\/((k**(-1\/2)*k)\/k*k**3) assuming k is positive.\nAnswer: k**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g = 29*g - 3, -4*g = 4*s - 60. Let n(x) = 6*x**2 + 5*x + 18. What is the units digit of n(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 7:25 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 684037156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/22, 0.16 in decreasing order.\nAnswer: 0.16, 0, -1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b = -29 - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3528\/117 + 2\/(-13)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1262787 to the power of 1\/2, to the nearest integer?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6. Suppose -3*i**3 - 9*i - 6 - 3*i - 12*i**v - 3*i = 0. Calculate i.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/7 and -30\/743?\nAnswer: 5201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 482146420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1367*s**2 - 541*s**2 - 710*s**2 - 4*s as n*s**2 + d + z*s and give n.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(1 + -4 + 102). What is the greatest common divisor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + -19. Let n = r - 20. Let m(w) = w - 11. Let f be m(n). Which is the closest to 0? (a) -2\/7 (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -358 + 202. Let b = 158 + j. Let t(v) = -4*v + 1. Determine t(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(1287\/44) - 11268\/(-24624)?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 207 + -207.2. Let o = -338\/35 + 69\/7. What is the nearest to -2 in -36, k, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 459 and 2187?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(396)*2 - sqrt(396))**2*6.\nAnswer: -216*sqrt(11) + 2430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1218359273 or 1218359272?\nAnswer: 1218359272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -511 - -5?\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21899*y**5 - 4531*y.\nAnswer: -437980*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60 * -0.12.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9*v**2 - 144*v - 2. Calculate x(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61170 divided by 12234.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*h + 164*h - 7 = 2*g, -3*h + 3*g = -15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s. Let a(c) = 224*c**2. Give a(u(z)).\nAnswer: 224*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19342*c**3 + c - 18644*c**3 + 37461*c**3.\nAnswer: -525*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 11*w. Let q(z) be the second derivative of -2\/3*z**3 + 0*z**2 + 0 + 53*z. What is s(q(u))?\nAnswer: -44*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7202*j - 14171*j = -7137*j + 9912 for j.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (5 - -12))*18\/(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 5*n**4 + 2135*n**3 - 2906675*n**2 + 5772445*n + 43534650 = 0.\nAnswer: -1006, -3, 5, 577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1339 - -2730. Suppose -4976 = -5*l - f. Calculate the remainder when l\/18 + (-2)\/(-12) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67448?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (434\/(-186))\/(14\/4). Which is the nearest to 1? (a) 4 (b) -0.3 (c) w (d) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 43773 and 0.04.\nAnswer: 1750.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 5*q**2 - 15*q - 8. Calculate l(6).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2223 and 3211?\nAnswer: 28899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -29. Solve -4*b - w*c - 2*c = -17, 3*b - 5*c = -31 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162, 730, 2294, 5352, 10402, 17942?\nAnswer: 28470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**5\/20 + 5*o**4\/12 - o**3\/2 - 3*o**2\/2 + o + 33. Calculate j(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from {m: 2, k: 1, o: 2, l: 6}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 355 and 1349?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5341 - -74775\/14. Which is the second biggest value? (a) 4 (b) n (c) 0.25 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.3 - 2.2. Let h be (9\/(-21))\/((-4)\/14). Which is the closest to w? (a) 0.4 (b) h (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*n + 2549 = 838 + 839 + 834 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 1. Let x(r) = r**2 - 3. Let t(i) = -2*v(i) - x(i). Let s(y) = -4*y**2 + 16*y - 8. Let h(l) = -s(l) + 2*t(l). What is j in h(j) = 0?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 2\/9 (c) 2029 (d) -2\/13 (e) 5\/8 (f) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 110 - 11 = 0. What is the highest common factor of w and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 7)*(13*x**2 - 13*x**2 + 279*x**3 + 80*x**3 + 108*x**3).\nAnswer: 2802*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1965377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6209 and 51548.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - d**4 - 7 - d**4 - d**3 - 2*d**2 to the form b*d**2 + u + x*d + c*d**4 + i*d**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -20258822575 and 0.1?\nAnswer: 20258822575.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - n**4 + n**2 + (0 + 1 + 2)*(-n + n - 2*n**4))*(-7*n + 1 - 1).\nAnswer: 49*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60234 * -14.84.\nAnswer: 893872.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2 + y + 2. Let x be z(-1). Solve -i + x*i + 17 = -5*b, -5*b = -i + 21 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*d - 18*d + 64*d to i + a*d and give a.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 12*w**2 - w - 4. Let b be z(-1). Solve s + 16 = b*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y + 3. Let k(p) = -3 + 3 + 3 + 2*p. Let z(c) = c**3 - 24*c + 3. Let o be z(-5). What is o*l(v) + 3*k(v)?\nAnswer: 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-4))\/((-6)\/(-8)). What is the derivative of 7*x**4 + 7*x**2 - 7*x**i + 2 wrt x?\nAnswer: 28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*s + 140 + 854, 4*r = s + 2023. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, j: 1, n: 4}. Give prob of picking 2 n.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/42)\/(1\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**4\/12 - 7*k**3\/3 - 4*k**2 + 3*k. Let m be c(-9). Suppose -3*i + 38 = -m. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6076*u - 3059*u = 3097*u - 1040 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u**3 + 0*u**3 + u**3)*(-18*u + 4*u - 3*u) + u - 3*u**2 + 2*u**4 - 3*u**2 - u**2 as j*u**3 + c + n*u**4 + v*u + p*u**2 and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -157*g + 156*g + 15838. Find the third derivative of 235*m**5 + 31*m**2 + g*m**3 - 2 - 15838*m**3 wrt m.\nAnswer: 14100*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -69 at least as big as 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1874*v + 3737*v = 1849*v + 728 for v.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-52) - 620\/(-26). Let n be 0 + (1 - (0 + -102)). Suppose -3*v + z = -n, z + 13 = v - i. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67138829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + 1)*1 + -1. Solve -d*y - 8 = 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2516 is divided by 377?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*x - 192 - 18*x - 66*x.\nAnswer: 3*x - 192","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**21\/q*q)**17*(q*(q**(2\/9)*q*q)\/q)\/(q*q**(3\/10)) assuming q is positive.\nAnswer: q**(33743\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 15*m**2 - m + 1. Let d = 14 + -13. Let n be g(d). What is the highest common factor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57\/57)\/((-3)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*g + 264, 3*g - 9*l + 10*l = -372. Are g and -132 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 12*i**2 + 6*i - 12. Let q be (-140)\/12 - (-4)\/6. Is 11 a factor of c(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*j = -0*j + 109*j - 1015 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 882 and 6909?\nAnswer: 41454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 361776507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-63 - -48) + -36?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -0.09675603.\nAnswer: -0.40324397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 3\/4, 3\/2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/4 - 57*b**2 - 2175*b\/4 - 975\/2.\nAnswer: -3*(b + 1)*(b + 10)*(b + 65)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 4*o**2 - 6*o - 4. Suppose h = 2*h - 4. Suppose -2*i - 3*n + 2*n = 1, 4*i - 3*n = -7. Let r = i - h. What is y(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3 - 0, 0 = w + o - 440. Let v = w - 439. Determine r so that -4\/5*r + 2\/5*r**v + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0022471 to four decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -21*i - 22. Suppose 219*m = 221*m + 20. List the prime factors of z(m).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 3)*((-4 + 2 + 5)*(7*u - 3*u - 7*u) + 26*u + 44 - 44)*(2*u**2 - 2*u**2 + u**2) to the form y*u**3 + i + h*u**2 + r*u and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6900 - 6902. Sort c, -11, 13 in decreasing order.\nAnswer: 13, c, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 894808739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 77906 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 7*h**2 - 5*h + 1. Let c be w(-3). Let k = c - -22. Differentiate -k*r**2 + r**2 - 2*r**2 - 6 - 3*r**2 with respect to r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-6))\/((13482\/3444)\/107).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 2*g - 1. Let u be 7\/21 + (-4)\/(-6). Let i be a(u). Suppose -i*l - 8 + 14 = 0. Solve -z + l = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2723 is divided by 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 374.47 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + sqrt(8) - (sqrt(32)\/sqrt(2) - sqrt(16))\/sqrt(8)).\nAnswer: 1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.42 - 9.22. Let i = 4089.8083 - 4089. Let c = i + v. What is c rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 524*d + 24 = 527*d, -42*y + 2*d = -64 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8847059256+-8.69\nAnswer: 8847059247.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 14 in ascending order.\nAnswer: -4, -3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**4\/4 + 3833*u**3\/4 - 478161*u**2\/2 - 44914800*u - 14945000 = 0. What is u?\nAnswer: -122, -1\/3, 700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 323, -7, 4, -3, 5.\nAnswer: -7, -3, -1, 4, 5, 323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 235 = -10*l. Let f = l - 44. Suppose -f*r = -2229 - 384. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 176 = 107*r. Let d(v) = v - 2. Let p be d(0). Let g be p\/((-1)\/3 - -1). Sort 1, r, g.\nAnswer: g, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41 - -1) + 7 + -37 + 22?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -7\/4, -0.1, 0, -13, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 13. Suppose 2*j + 11 + p = 0. Does 15 divide j\/12 - (-363)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h. Let u(z) = -2*z**2 - 7*z. Let n(m) = -m**2 - 4*m. Let s(j) = 7*n(j) - 4*u(j). Determine i(s(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 600\/110*((-880)\/(-36))\/10?\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.06 (b) 9\/259 (c) -1011\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -67*i**2 - 104*i + 0*i**2 + 63*i**2.\nAnswer: -4*i*(i + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -218 - -222. Let v(p) = 4*p - 5. Suppose -d - d + 5*s - 16 = 0, -8 = -2*s. Let m be v(d). Solve u + o = m*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 13*t**3\/6 - t. Let x(g) = 2*g. Calculate x(b(v)).\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*i + 5*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2\/11))**(-1\/2)\/(i**(-2\/53)*i\/i**(-11)) assuming i is positive.\nAnswer: i**(-14637\/1166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 24*z - 363. Let b be o(15). Sort -207, 5, -5, b.\nAnswer: -207, -5, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-60))\/((-1)\/((-6)\/11)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 101941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 + 22. Let k be a + 1 - (-5 + 2). Let d be k + 19 - (-2 + -54). Calculate the highest common divisor of d and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -576 - 5.7.\nAnswer: -581.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5709 and 1353.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 f, and 1 r when four letters picked without replacement from cbfsbhbbchfsrfh.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 180987852711 + 178\nAnswer: 180987852889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -5f1?\nAnswer: 5ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503004 is divided by 133?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**4 + 3 - 3 + (2 - b**3 - 2)*(b + 3*b - 2*b) + 4*b + 7*b**4 - 4*b**4 - 3*b.\nAnswer: -3*b**4 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/99 and -19\/81?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 30 (b) -1\/2 (c) -0.06 (d) 6\/47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (12 + (25 + -79 - -26))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 601\/2 < 302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*a = -p - 358, 0 = -a - 3. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - n - 1 - n + 1 + (1 - 4 + 1)*(-2*n + 2 - 2))*(-26 + 26 - 29)*(-6 - 12 - 2)*(3*n - 5*n + 3*n) in the form k + h*n**2 + p*n and give h.\nAnswer: 1160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**4\/12 - 13*c**3\/6 - c**2 + 7*c. Let y be j(14). Calculate the greatest common factor of 24 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34546734 divided by -11515578\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*q + 0*q - 2*q)*(2 + q**2 + 15*q - 8*q - 6*q) in the form a*q + i + g*q**2 + j*q**3 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 3. Let -2 + p + p**2 + l + 1 - 3 = 0. Calculate p.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**4\/4 - 5*v**2\/2 + 2. Is 21 a factor of o(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 45009 - 160320. Is o\/(-5) + 8\/20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1650 + 9072 + 13898 = 82*c. Let d be -2 + 1\/1 + 260. Is d at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from {d: 7, z: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -102, -155, -222, -309?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -147+0.1685\nAnswer: -146.8315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*n + 900 = -373*n for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, l: 7, u: 8, c: 2}. What is prob of picking 1 c and 2 z?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g**3 - 44*g - g**4 + 3*g**3 + 34*g - 4*g**2 + 2*g**2 to h*g + b*g**3 + f*g**2 + j + i*g**4 and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -19943 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g - 4. Let h be o(-3). Suppose -5*r + 30 = 5*u, -u - 2*u - h*r + 22 = 0. Is u > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d**2 + 73*d + 44. What is the thousands digit of z(38)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rara when four letters picked without replacement from {r: 13, a: 6}?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -303 or -45834\/151?\nAnswer: -45834\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-688)\/(-10) + 1\/5. Let j = -205\/3 + o. Let w = -17\/3 + 94\/15. What is the nearest to j in w, 1\/9, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-45) - (-43)\/9. Solve y - 4 = 2*h - y, 5*h = -m*y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-9) + -1)*12. Suppose 0 = r*f - 28 - 76. Suppose -2*c - 3*i + 15 = c, -5*c + f = 4*i. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 11. Let z(q) = q**3 + 3*q**2 - 4*q. Let y be z(-5). Let n = y - -7. Let p be (-4)\/10 - n\/(-5). What is b(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**6\/120 - l**5\/10 + 5*l**4\/24 - 5*l**3\/6 - 185*l**2. Determine x(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340 (base 5) to base 6.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + (-10)\/(-3))*(-7 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m - m**3 - 4*m)*(4*m - 6*m - 27*m) in the form q*m**2 + c*m + v*m**3 + g + j*m**4 and give j.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 52. Suppose 5*t = 5*i + 8*t - 798, -4*t - k = 0. What is the highest common factor of 18 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 271?\nAnswer: 271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1569895.5 rounded to the nearest one hundred?\nAnswer: 1569900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*t + 3. Let x = 11 - t. Let h be 2*(x - 1) + -2. Solve h*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61722 + 62371 = -59*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**3 + 3*b**3 - 47488 + 23743 + 2*b**4 + 23747 - 3*b + 3*b**2 to z*b + g*b**2 + w + i*b**3 + y*b**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/9)\/((-4)\/(-252)*-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, x: 1, w: 4, c: 3, d: 7}. What is prob of sequence nwc?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 1331160.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/5 + -5)*(-1)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = 3*z - 75, 3*z + 65553 = 3*s + 65673 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-4 + -4))*((-24)\/(-2) - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 10.9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-12)*g*g\/g**10)\/((g**(-1\/4)*g)\/g**11))**(11\/5) assuming g is positive.\nAnswer: g**(-429\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*n = 215, -2*d - 3*d + 264 = -2*n. Solve 0 = 2*z + d*z + 312 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 475053254*x**2 - 28*x + 469169 wrt x.\nAnswer: 950106508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0217 and 0.2.\nAnswer: 0.00434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 30961.6 to the nearest one hundred.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 90024, 90023, 90022, 90021?\n\"Answer: -n + 90025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 55.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhhhhnhhhhhnhhhhnhhn?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - -2*(-60)\/55. Let f = -13 + 12.5. What is the closest to 1 in m, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**5 - 48*m**4 - 228*m**3 - 246*m**2 + 231*m + 294 = 0.\nAnswer: -7, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/sqrt(7))**2 + 3 + (sqrt(11) - (-2 + sqrt(11))) + -3 + 5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28072 - 108735 - 28*r + 26*r.\nAnswer: -2*r - 136807","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52479, -52467, -52441, -52395, -52323?\nAnswer: -52219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m = 29*m + 95 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v**2 + 49*v + 10. Give x(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 y when four letters picked without replacement from {v: 4, w: 1, y: 5, d: 1}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*l + 476*l - 445 = 954*l - 2085 for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(175)*1*-6 + -2 + (sqrt(5600)*-1)\/(-1*sqrt(512))))**2.\nAnswer: 460*sqrt(7) + 92639\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14620?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2001 - -223?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1754 a factor of 555893466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 63. Suppose -59 = -3*h + 2*n, 5*h + 31 = -3*n + 123. Calculate the remainder when j*4 - ((-9 - -5) + 6) is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**5 - 430*g**4 + 400*g**3 + 2110*g**2 + 1275*g = 0 for g.\nAnswer: -1, 0, 3, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008327 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j - 9*j + 12*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p*p**(-2\/13)))**(2\/35)\/(p\/(p\/(p*p**(-26)))*(p**(-14\/5)\/p)\/p*p) assuming p is positive.\nAnswer: p**(13056\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42388851487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -2 - 12 - (-1 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d. Let q(t) = -12*t**2 - t - 1. Let j(l) = 2*o(l) + q(l). Suppose 3*z = -5*i + 16, -5*i + 4*i + 5*z - 8 = 0. Suppose 4*f = 6 - i. Determine j(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k**2 + k - 3. What is the tens digit of y(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**4 + 4*m**4 - m**4 + 5*m**4 - 1308*m**3 + 1309*m**3 - 12*m in the form j*m + l*m**2 + h*m**3 + s*m**4 + q and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(-6))\/((-294)\/(-735))*1064\/190.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4934819 or 4934824?\nAnswer: 4934819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m**3 + 4*m**2 - 3*m. Let y(u) = 6*u + 105*u**2 - 13*u**3 - 114*u**2 + u. What is -9*n(a) - 4*y(a)?\nAnswer: -2*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001 - 1110221?\nAnswer: -1102220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*t + 5*v - 81, -2*v - 32 = -3*t. Let s = t + 1. Solve 3*k = -2*k + s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -137, -261, -385, -509, -633?\n\"Answer: -124*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w. Let a(g) = -38431*g + 38431*g - 10*g**2. Give a(p(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 15*n**4\/4 + 65*n**3\/6 + 10*n**2 + 5*n\/2 - 4. Find v, given that s(v) = 0.\nAnswer: -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31744469 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*t + 426 + 2518. What is the remainder when t is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 718023943.\nAnswer: 7, 13, 7890373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 2\/57, 0.5, 3\/10, -41, -25 in descending order.\nAnswer: 0.6, 0.5, 3\/10, 2\/57, -25, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/45 - 0 - (-266)\/(-70)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107 or -218?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6*g**3 - 2*g**2 + g. Let p be j(1). Let m(f) = -14*f + 7. Calculate the remainder when m(p) is divided by 137\/5 + (-32)\/80.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/19 + 508*f\/19 + 32258\/19.\nAnswer: 2*(f + 127)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (78\/1040*-10)\/((-1)\/(7993 - 1)) a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 3*t + 30 = 0, -2*s + 8*t - 20 = -6*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j = 1. Let c be j\/(-2) + 130\/20. Is 11 a factor of ((-78)\/(-9))\/(4\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + sqrt(119) + sqrt(119) + (sqrt(119) - -3*1*sqrt(119)))\/(sqrt(1008) - -2*sqrt(1008)) - ((sqrt(833)*2*5)**2 + 3)) + 0.\nAnswer: -83303 + 7*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d + 12. Let w(m) = 19*m - 7 - 48*m + 16 + 23*m. Let c be w(3). Let q be 0 + (11 - 3\/c*-9). Let s(r) = 3*r + 8. Determine q*s(a) - 5*z(a).\nAnswer: -a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/7 + 18267*x**2\/7 + 5447520*x\/7 + 56671488.\nAnswer: -3*(x - 6377)*(x + 144)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117)\/1170*9430\/35 + 27.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 8*f + 36. Let x be h(-4). Suppose 295 = x*k - 3*k. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48989933?\nAnswer: 47, 523, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 3*u + 17 - 20, 4*u + 8 = -2*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*j**3 + 6*j**3 + 9 + 5*j**3 + j**3 + 4*j - 4*j + (38 - 38 + 4*j**2)*(4*j - j - 2*j).\nAnswer: 3*j**3 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7530749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/6*-2)\/((-3)\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -710 - -825. Determine x so that 5*x**2 - 110*x**2 + z*x**3 - 82*x**2 - 55 + 94*x - 20*x**4 - 38*x**2 + 91*x = 0.\nAnswer: 1, 11\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3246306 and -3246303 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**5\/6 - 7*c**4\/6 - 8*c**3\/3 - 4*c**2\/3 + 8*c\/3 + 8\/3 = 0 for c.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -175 - -179. Suppose -11*q = -u*q - 609. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 444936 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4679 + 4863. Calculate the least common multiple of 1012 and f.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5772 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u + 12. Determine l(-9).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l**2 + 2*l)*(3 + 3 - 4)*(3 + 0 + 1).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62421 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*k**2 + 11*k**2 - 20*k**2 - 68*k**2 - 6*k**3 - 24*k**2.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26333 - 26304. Solve 0 = -53*c + a*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -v + 3. Calculate the greatest common factor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5832?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*c = 200 - 250, 25 = -n - 4*c. Is n >= -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + -1)*1 + 4*(sqrt(288) + 1 - sqrt(288)).\nAnswer: 3 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 8*f - 22. Let m(g) = -8*g + 22. Let h(y) = 4*m(y) + 3*v(y). What is the derivative of h(c) wrt c?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -0.5, -8\/17, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 33 = -2*r. Let o be (-3)\/1*3\/r. What is the closest to 1 in 0.2, 2\/9, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(8*(-10)\/(-480))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2031202001 (base 4) to base 16.\nAnswer: -8d881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-2 - (7 - 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11*w + 1176919. Let p(x) = -30*x. Determine p(r(g)).\nAnswer: 330*g - 35307570","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475 = 5*n - 6*m - 395, -66 = 4*n - 5*m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16437209*j**4 - 2*j**2 + 15186*j - 22.\nAnswer: 394493016*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267 >= -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1 - 2)\/(-1))\/(89 + (-344520)\/3870)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 180 = -3*r + 171, -4*x - 18 = -3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 5*o - 4. Let n be h(3). Let s be ((-6)\/4)\/(3\/(-6)). Suppose -s = z + 2*u, 0 = -n*z + z - u + 1. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v = -11*v + 172. Let u(z) be the second derivative of 5*z + 0*z**3 + 1\/72*z**v + 0 - 1\/12*z**2. Solve u(j) = 0 for j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**5\/60 + 5*b**4\/24 - 2*b**3\/3 - 2*b**2. Let n be y(-6). Is n greater than 9\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h - 42 = 0. Suppose 0 = -2*b + 3*b - 16. Let p = b - 11. Calculate the remainder when h is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**2 + 748608*d - 139849820 = 0 for d.\nAnswer: 187, 186965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1091?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11269 and 4012.\nAnswer: 766292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 3*y + 12, 3*q + q + 4*y = 0. Suppose 0 = 7*m - 23 + q. Suppose 3 + 3 = 2*d. What is the greatest common factor of m and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 309 - 303. Let y(w) = 239 + g*w - 480 + 241. Let u(h) = 4*h**2. Give u(y(i)).\nAnswer: 144*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19799\/3 or -6599?\nAnswer: -19799\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4202 - 511. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 5, 5*u - 28 = -3*f - 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2879680781 to the power of 1\/2, to the nearest integer?\nAnswer: 53663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1221087, 4884339, 10989759, 19537347, 30527103, 43959027?\n\"Answer: 1221084*t**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 3, 491, -1, -3, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6392668 nanometers to kilometers.\nAnswer: 0.0000000000006392668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55662 or -55676?\nAnswer: -55662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70448 and 1712767?\nAnswer: 27404272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6834732 is divided by 15969.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -117*-0.02\nAnswer: 2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mttt when four letters picked without replacement from {t: 3, m: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*q = 58*q - 244. Factor -17\/4*t**3 + 3\/4*t**4 + 5\/2 + 35\/4*t**q - 31\/4*t.\nAnswer: (t - 2)*(t - 1)**2*(3*t - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**5\/20 - 5*f**4\/12 + 2*f**3\/3 + f**2 - 12*f. What are the prime factors of w(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 469\/4976 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1676608 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1490 + 6383. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3745 + -3738. Solve 0 = m - 2*x - 5, 3*m + q*x - 8*x + 5 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*m - 0*m - 836. Let x(b) = 14*b + 229. What are the prime factors of x(m)?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7700 divided by -35.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + sqrt(931) - (sqrt(1900) + -1 - (sqrt(304) + sqrt(304)*-1 - sqrt(304)))**2.\nAnswer: -3720 + 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q - 70*q + 78*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgggffgfgggff. Give prob of sequence gg.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1755585 (base 9) to base 2\nAnswer: -11101111101011010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-6))\/((-52)\/8 + 5). Put 32, 2\/29, j in decreasing order.\nAnswer: 32, 2\/29, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - 10. Let r = g + 24. Suppose 2*j - 7 - r = 0. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55252 at least -1.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*((sqrt(2) + 2)*5)**2.\nAnswer: 500*sqrt(2) + 750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 5:20 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 83*g**2*u**2 + 61436*g**2*u + 164589916*g**2 wrt u.\nAnswer: 166*g**2*u + 61436*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 66653671 or 66653670?\nAnswer: 66653671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, l: 2, w: 1, j: 2, i: 2, f: 2}. Give prob of sequence ijl.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5019418 less than 5019421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/3)\/(-3)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95.4 - -0.6. Let l = q + -96.39. Let v = l + 0.89. What is the nearest to 0.2 in 0, -3, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10023 = 60*v + 2873 + 3910 for v.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a millennium?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -1446*u**2 + 21 - u + 14 + 1444*u**2 - 10. Let g be b(3). Solve -z + 4*o + 34 = 12, 3*z = -g*o - 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 4*i**2 - 8*i - 20. Suppose -5 = -y - 2*u, -2*u + 10 + 25 = -5*y. Determine a(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -239807*x**2 + 0 + 7*x**3 + x**3 - 1 + 239806*x**2 in the form h*x**2 + r*x + j*x**3 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 215168 and 1024.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273281.\nAnswer: 273281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0066 - 14.5566. Let o = g + 14. Round o to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42283.883 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -238, -474, -708, -940, -1170, -1398, -1624?\nAnswer: -1848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**22*y**(-1\/4)\/y assuming y is positive.\nAnswer: y**(83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010110101110000 (base 2) to base 4.\nAnswer: 222311300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 - 50\/340. Let m = i + -53\/102. Let q = 6 - 6.3. What is the third smallest value in q, 2\/7, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10211 (base 3) to base 5\nAnswer: -403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 314758?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {w: 1, q: 11}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 953014187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 299818814 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**2 + 84*l + 164. What is the remainder when 60 is divided by h(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22032320 (base 4) to base 2.\nAnswer: -1010001110111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + 4 - (-5 + 3). Solve 24 + h = -5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d + 5. Let g(r) be the first derivative of -r**3\/6 - 5*r**2\/2 + 11*r - 49. Let j(t) be the second derivative of g(t). Calculate -3*j(l) - n(l).\nAnswer: 5*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/3)\/((-7)\/21). Suppose -a*z - 18 = -8. Let f = 0.022 - 0.122. What is the third biggest value in z, f, 6\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 + -6.3. Let j = 158336 - 158335.6. Which is the closest to -1? (a) m (b) 0.9 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -8.6. Let f = m + 0.1. What is the closest to 0.2 in -5, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 84\/147*35\/2. Calculate the highest common factor of 110 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.92603 times -0.3?\nAnswer: -0.577809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/9 of a day in minutes?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*a**3*n + 6*a**3*v**3 - 2*a**3 + 1508843*a**2*v**3 - 2645549*n*v**3 + 2*v**3 wrt n.\nAnswer: -18*a**3 - 2645549*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69 - (7 + -18 + 9)) + 19 + -19?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.427547 tonnes?\nAnswer: 427547000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/221 (b) 4 (c) -4\/3 (d) -0.052\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 4:12 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -26*i**2 - 3420*i + 110. Calculate a(-132).\nAnswer: -1474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 26.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 1\/3*i**6 + 4\/63*i**7 - 1\/3*i**2 + 0*i**3 + 7*i + 5\/9*i**4 + 2\/3*i**5 + 0. Factor w(a).\nAnswer: 2*(a + 1)**4*(4*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -181*s - 1. Let x(k) = 9*k - 2. Let m(c) = -14*c + 3. Let p(a) = -2*m(a) - 3*x(a). Give p(z(t)).\nAnswer: -181*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 8*o**2 - 631*o - 82. Let a be f(79). Let x(k) = -57*k**3 + 3*k**2 + 7*k + 4. Let l(i) = 28*i**3 - i**2 - 3*i - 2. What is a*x(s) - 7*l(s)?\nAnswer: -25*s**3 - 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 6372737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) -1 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.084 or -228?\nAnswer: -228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1742 - 0.0742. Which is the nearest to -0.1? (a) u (b) -1.3 (c) 3 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s**3 + 9*s**3 - 36*s**3 + 18*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - c + 5 = 0, -1896*o + 6 = -1895*o - 3*c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -998*g**3 + 60*g**2 - 255892*g wrt g.\nAnswer: -5988*g + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q**5\/5 - 116*q**4\/5 + 1172*q**3\/5 - 1952*q**2\/5 - 1614*q\/5 + 324 = 0 for q.\nAnswer: -27, -1, 2\/3, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 4*k + 6, 208*k = 206*k - 34*n + 37*n + 49 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 72069579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 437 divide 3224360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31102665 (base 7) to base 16.\nAnswer: 27c420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7036, 8087, 9836, 12277, 15404, 19211?\nAnswer: 23692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6739709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/4*(-2)\/(-14).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -7, -0.12, -17, 65?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002190118497 rounded to 7 decimal places?\nAnswer: -0.000219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*p - 8550 + 8022 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 372 and 1871718?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 142511 and 1616.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 31. Let y = -43417 + 43456. Calculate the remainder when y is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -1549592.\nAnswer: -1549591.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/553539 and -123\/13653962.\nAnswer: 40961886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 533668 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 u be (-2)\/8 + (-1673)\/(-4). Let o be 3 - 5\/((-225)\/615)*3. Calculate the highest common divisor of o and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*x + 97*x + x**3 - 77*x - 620*x**2 as p + c*x**3 + s*x + f*x**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, j: 3, b: 1}. Give prob of sequence jbq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 9*g - 6. Let i be h(7). Let s be (i\/(-6))\/((-2)\/(-12)). Let n be s\/(-30) + (-4)\/(-6). Sort -4, -1, n in increasing order.\nAnswer: -4, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -124\/1729 + 30\/133. Sort -12, c, -22, -1\/8 in decreasing order.\nAnswer: c, -1\/8, -12, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -419 + 434. Solve -2*x - y = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 0. Calculate the highest common factor of b and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1730 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - 3*u**2 + 2*u**4 + 2 + u**2 - 1 in the form p*u**2 + m + r*u**4 + l*u + a*u**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11330.\nAnswer: 2, 5, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(156)*2 - sqrt(156))*-5)\/(((-1*sqrt(1536) - sqrt(1536)) + sqrt(1536) - sqrt(1536))\/sqrt(2)).\nAnswer: -15*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261*v + 402701 - 129981 = 275*v. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -20 + 0 - 2 - r. Let o(p) = 9. Let b(h) = -4. Let x(q) = -5*b(q) - 2*o(q). Calculate -22*x(i) - 2*z(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*c - 42 = 0. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 8*a + 3. Let t be 18\/24 - 186\/(-8). Let o be (8\/6)\/(2\/t). Suppose -5*l = -2*v - 29 - o, -4*v = -l + 27. Give r(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and -37.\nAnswer: -3.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38101335 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3417 and 14704952.\nAnswer: 14704952.3417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17138 + -479963\/28. Calculate the common denominator of 43\/520 and r.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/1)\/((-3)\/90). Suppose -55*f + p = -50*f. Let c = 34 - 15. What is the remainder when f is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*c = -48*c - 5*z + 35, 10*c = 2*z + 42 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 10. What is x(-16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 5*g**2 + 20*g + 23. Let i be a(8). Let x = 133 + 35. What is the common denominator of -45\/8 and (489\/x)\/(i\/12)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 29319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -10 (c) -4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**4\/24 + 115*u**3\/6 - 4*u**2. Is d(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*n - n**2 + n**2 + 3*n**3 + 50*n.\nAnswer: 3*n**3 - 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (-30)\/25*-5. Suppose c*o + 330 = 8*o. Let s = -20 + o. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108 + -83. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003291444 to 4 decimal places.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 86 and 164?\nAnswer: 7052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6\/7)\/(h\/h**(-1\/13)))**(-3\/34)\/(h**(-1\/10)\/(h*((h*h**(2\/19))\/h)\/h*h)*h**(-2\/3)\/(((h\/(h\/(h*h**(1\/6))))\/h)\/h*h*h)) assuming h is positive.\nAnswer: h**(1414942\/440895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.166219 minus 0.6?\nAnswer: -0.766219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*2*3\/12. Suppose -g*j + 14 = -4*j. Let v be (-1)\/j + (-72)\/14. Put v, 4, -0.4 in increasing order.\nAnswer: v, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 338074253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 - 75 = 15*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2 - 22*r - 7. Let q = -32 - -25. Let n be g(q). Solve 0 = -5*f + 2*w - 12, n*f - 4*f + 4*w = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 4 - n - 189*n**3 - 205*n**3 + 88*n**3 + 13*n**2.\nAnswer: -306*n**3 + 13*n**2 - 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -43500 divided by -5\nAnswer: 8700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -26, 156, -4, 4, -5?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s - a = 35, 5*a = -4*s + 113. Solve 0 = -4*l + 2*u + 24, 5*l - 5*u - 8 = s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 1, -163 in decreasing order.\nAnswer: 1, -32, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n. Let v(x) = -76*x + 264*x - 134*x. What is f(v(i))?\nAnswer: 432*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-51)\/(-119) - 20\/14) + -2. Let m(v) be the second derivative of v**4\/6 - v**3\/2 - 3*v**2\/2 - 2*v. What is the tens digit of m(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3130352290 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 159239 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10767.\nAnswer: 3, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 11 + 53 = 0. Let j be 2\/r + 328\/56. Which is greater: j or 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 40*x + 351. Let i be w(27). Solve -4*y - 2*u + 10 = i, 0 = -5*y - 3*u + 15 - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 7, j: 4}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12023*-0.0029.\nAnswer: -34.8667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m. Let y(d) = d**2 + 7*d + 8. Let h be y(-4). Let p(s) = -15*s + 6. Let k(a) = h*b(a) + p(a). Differentiate k(v) wrt v.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 - -1.7. Let a = 0.3 - 0.1. Let g = -0.3 - a. What is the closest to 1\/3 in g, -2\/17, w?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.5, -44\/21, 5, 0.1, 2.2 in decreasing order.\nAnswer: 5, 2.2, 0.5, 0.1, 0, -44\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 169, 263, 357, 451?\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/75 - 2\/5)\/(676\/(-156))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1278, 6, 1033?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73946.732006 - 74838.7311. Let j = f - -892. What is j rounded to five dps?\nAnswer: 0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 105631 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((40205\/(-88))\/85)\/(5\/(-40))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.204371 rounded to 2 decimal places?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + ((3 + -3 + (-1*sqrt(468) - sqrt(468) - sqrt(468)) + 5)*-1)**2 + -3.\nAnswer: -180*sqrt(13) + 4234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -126*n**2 + 25*n + 10. Let y(i) = 19*i**2 - 5*i - 2. Let r(g) = s(g) + 5*y(g). Let q(j) = 302*j**2. Determine r(q(a)).\nAnswer: -2827324*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 - 28. Suppose -y*i = -7*i + 4*u - 2, 4*i = -3*u - 14. Does 14 divide (44 - i)*9\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o**(2\/19)*o)\/o)*o*o*o*o*o**(4\/15)*(o**8)**(-11\/5))**40 assuming o is positive.\nAnswer: o**(-30640\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*m - m. Suppose 0 = -2*r - f + 34, -4*r + 4*f + 76 = 2*f. Suppose 7*q = 5*q + r. What is the lowest common multiple of q and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71949162?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39209242 + -10300798.4. Let x = -28908449.80000031 + t. Let l = -6.2 - x. What is l rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 26*g**2 - 53*g - 121. Determine d(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54103 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z + 4. Let d(q) = 4*q - 5. Let o(i) = -2*d(i) - 3*m(i). Let u = -3 - 1. What is o(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -998050 by -54.\nAnswer: 499025\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l - 850 = 10*l. Let n(s) = 18*s**2 + 2*s + 1. Let q be n(-1). What is the greatest common factor of q and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126989?\nAnswer: 126989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 59. Let u(j) = 4*j**3 + 4*j**2 - 4*j + 1. Calculate the remainder when u(3) is divided by k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 52 = j + 3*j, 43*j = 5*h + 40*j - 56 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t = h - 53, -25*t + 27*t + 0*h + 3 = h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - -44.00000211. Round b to seven decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (86 + 0 - 11) + -19 - 8.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110 (base 3) to base 15.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.6 (b) -3 (c) 1\/2 (d) 0.3 (e) -60\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-2 - -24) - (-6 - 12) - 111?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -1392\/5 + 2778\/5*z - 6\/5*z**3 - 276*z**2 = 0.\nAnswer: -232, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*d = 43*d - 93*d + 44. Let s(l) be the first derivative of 10*l**3 - 2*l + 1. What is the remainder when s(d) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -865?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 21 = -9*t. Suppose -l = -4*l. Suppose l = 5*g - 5 - 5. What is the remainder when t is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*r + 12*r**2 - 98*r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -30*i + 47. List the prime factors of j(-10).\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agggagg. What is prob of sequence gag?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1338840 is divided by 806?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*w - 569 = 0, 3*r - 4*w + 9*w = 841. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3766.07756 + -3766. Let n = t - 0.2472. Let v = n - -0.17. What is v rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 5:16 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24568 and -2769.\nAnswer: 21799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29010633, -29010640, -29010647, -29010654?\nAnswer: -29010661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -9*j + 13. Let f be l(2). Do -4 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -5)*(-1 - (-51)\/36). Is v at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1269881 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f = -48. Suppose 4 - f = -2*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.414 + -29.014. Let x = -28.54 - j. What is the second biggest value in 4, x, -19?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 11:46 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 78078677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - 4. Let d be q(4). Let h(t) = d + 0 - 46*t + 48*t. Let a(c) = 7*c**2. What is h(a(z))?\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgfuzog. Give prob of sequence ugf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 7) to base 4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10172258*m**2 - 110*m + 42751?\nAnswer: -20344516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 + 27044\/14 + (-2)\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7621 or 7620?\nAnswer: 7621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 4\/(-8))\/((-287)\/1148)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.03, 2, 0, -5 in descending order.\nAnswer: 7, 2, 0.03, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 9 + 160*a - 7 - 158*a + 9*a**2. Suppose 0 = d + 1 - 4, -v - 4 = -5*d. Let h(g) = -44*g**2 - 11*g - 11. Give v*t(i) + 2*h(i).\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide (-9)\/(54\/84) + 2762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/15 + 104\/70. Is 1 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32838 and 53586?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720 - 16 = -77*n + 419. What is the lowest common multiple of 2100 and n?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**2. Let h(s) = 18*s**2. What is h(d(n))?\nAnswer: 288*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 9 = -2*i, 7*i - 7*i - 9*i - 75 = 2*r for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-f**4 + 2*f**4 - 4*f**4)*(2*f - 3*f + 2*f) + 2*f**4 - 2*f**4 - 2*f**5)*(-6 + 2 + 5).\nAnswer: -5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6205.\nAnswer: 5, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 10*r + 19*r + 0*r - 10*r to y + i*r and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/25))**(-35) assuming t is positive.\nAnswer: t**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2209*r + 2211*r - 14 = 0. Suppose -10 = 2*w - 78. Calculate the remainder when w is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 - 12*y**3 - 2*y**3 + 18*y**3 + 17*y**3 to h*y**2 + q*y**3 + t*y + z and give q.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a kilometer in meters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vur when three letters picked without replacement from {v: 2, r: 4, z: 1, u: 2, h: 5, c: 1}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**3 - 2*r + 2*r - 6*r**3 - 31*r**3.\nAnswer: -43*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4158875783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 + -1. Let l be (0 + (0 - 1))*76\/(-4). Let n = 37\/2 - l. What is the nearest to n in 3, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/3723?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -12. Let w = -0.04 + -0.06. Let p = -0.9 + w. Put p, 0, f in decreasing order.\nAnswer: 0, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 10 - 4 = 0. Let y(o) = -2*o**2 + o**2 + 4 + 2*o**q - o. Let j be y(0). Solve 2*k + j = -2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 2863201.86731?\nAnswer: -2863196.86731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 + m - m)*(306*m**2 - 285 - 43*m**2 + 283).\nAnswer: -526*m**5 + 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27745544.\nAnswer: 2, 23, 150791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhxehxqj. Give prob of sequence yx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 bigger than -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6493 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1216) - 2*sqrt(1216))**2 - ((0 + sqrt(76))**2 + sqrt(19) + -2).\nAnswer: -sqrt(19) + 1142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**2 + 10*c - 9. Let l be t(7). Suppose 0 = 5*o - o - l. What is the remainder when o is divided by 6\/12 - 70\/(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3908.\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*m - 2*z, 4*z - 3*z - 31 = -3*m. Let l be (-114)\/(-30) - 8\/m. Factor l*a**2 + 1 - 3*a - 1 + 1 - 7.\nAnswer: 3*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -145 - -211. Calculate the remainder when c is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -13*d**2 - 2*d - 1. Let v(u) = -u**2. Suppose 4*n + 3*g - 2 - 3 = 0, -2*n - 3*g + 7 = 0. Let p(l) = n*b(l) - v(l). Is p(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**2\/9 + 1390*v\/9 - 66056\/9 = 0.\nAnswer: -1436, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -73*h + 1. Let d(c) = -72*c + 1. Let g(u) = d(u) - o(u). Let s(x) = -5527*x. Determine g(s(p)).\nAnswer: -5527*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*y - 16. Solve y = 3*o + 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 0*n**2 + 0*n - 1\/2*n**4 + 1 - 16\/5*n**5 + 4\/3*n**3 - 5\/3*n**6. Factor k(y).\nAnswer: -2*y**2*(y + 1)**2*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**0*f))**(-21)\/(f**1*f**(2\/5)) assuming f is positive.\nAnswer: f**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, n: 2, d: 5}. What is prob of picking 4 d?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z + 4688. Let d(a) = -16*a. Determine d(m(l)).\nAnswer: 32*l - 75008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 10. Suppose -2*i = 2*i - 3*v - 32, 4*v = -4*i + 4. List the prime factors of (i + -11)*7\/b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20851 - -20851.000109244. Round y to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 8190 = -13*l. What is the highest common factor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (4 + sqrt(26)\/sqrt(2) - (sqrt(156)*1)\/sqrt(12)) + 1 + (-1*sqrt(91)*5)\/(2*sqrt(7)*5))**2.\nAnswer: -6*sqrt(13) + 157\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 865950*d**2 + 863348*d**2 - 1729300*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 1. Let o be m(1). Suppose o = -0*p + 4*p. Suppose i = -3, -u + 3 = i - p. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/11 or 87175.4?\nAnswer: 87175.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2. Let i(d) = 21*d**2 - 12*d**2 - 11*d**2. What is i(h(w))?\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27960\/(-5 + 630009\/126000). Round z to the nearest 1000000.\nAnswer: 391000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -4*p**4 + 148*p**3 - 1128*p**2 - 4192*p + 11776 = 0.\nAnswer: -4, 2, 16, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3512124 and 70884?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 1046*x. Let z(k) = -1375*k**2. Determine z(b(i)).\nAnswer: -1504409500*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1034)\/(-188) - -3*2\/(-8)\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 571948 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*j - 514*j**3 + 268*j + 116*j - 2 - 24*j + 64*j wrt j.\nAnswer: -3084*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + h)*(-3*h**2 + h**2 + h**2) + 11812*h**3 + 2271*h**3 - 2025*h**3.\nAnswer: 12057*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 13 (b) -4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 105479844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 6*u + 7 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 268290 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -1 + 9*p - 4*p - 8*p**2 + 9*p**2. Let m be a(-5). Is (-422)\/4*(-3 - m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 10 = 4*j, -q = 4*q + 5*j - 15. What is the hundreds digit of (-354)\/(-3) + 0 + (q - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1306 + -500. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d. Let h(a) = 217*a**2 - a + 6. Give t(h(z)).\nAnswer: -217*z**2 + z - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5 = -4*c - 0*c, -4 = -4*c + 4*y. Which is smaller: c or 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40713337283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 4*u**2 + 5. Let i be 4\/(-8) + (-7)\/2. Let m be s(i). Solve -m*t + 3*y + 15 = 0, t = 4*t - y - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 22928.3.\nAnswer: -11464.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-72)*-10*416\/(-240).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/12 - ((-135)\/18 - -7)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -52, -1, 2 in increasing order.\nAnswer: -52, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7895294 is divided by 3574?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4942, 18400, 40838, 72262, 112678, 162092, 220510?\nAnswer: 287938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 16 = 0, 0 = 3*j + 6*d - d + 6820. Let i = 1297 + j. Let x = i + 1764. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1110100111110100101?\nAnswer: -1110100111110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 249.1809 centuries in years?\nAnswer: 24918.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n - 10 = 3*v, -4*v - 25 = 5*n. Solve v*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 = 5*g - k, g + 2*g + 170 = k. Suppose 2*z + 24 = -24. Let j = z - g. Round j to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 781.03 - 781. Let y = 5.47 - 4.5. Let j = y + u. What is the third smallest value in 2, -21, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.3688456 less than -6981.51?\nAnswer: -6976.1411544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3547, 3935, 4333, 4747, 5183, 5647, 6145, 6683?\nAnswer: 7267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q + 6. Let n be v(0). Suppose -6*r + n = -4*r. Solve l = -r*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1463605224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9576\/380)\/(-1*(-4)\/(-90)). Which is greater: a or -565?\nAnswer: -565","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 324.\nAnswer: -97.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 + (-119)\/(-21))*(-108924)\/8. Suppose -x = -23*q + 7859. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 6*a - 10. Let y = 0.282 + 159.718. Let z = 161 - y. What is the second smallest value in 0, z, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*b + 3*a, 5*b - 2*a = 2*b + 36. List the prime factors of b*2\/12 + 36988\/21.\nAnswer: 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 6\/20466173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 16*k**2 + 3*k + 1. Let i be y(-4). Suppose -10*a + 5*a = -i. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 702466.\nAnswer: 2, 23, 15271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -39, -0.2, 1\/3, -213?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.5 - 13.1. Let f = -0.5 - -0.5. What is the closest to f in -2, -2\/7, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105476 is divided by 11468.\nAnswer: 2264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*g + 1195*g - 41*g.\nAnswer: 1033*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17633*b + 18418*b + 33327 - 3497 for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 4*o + y - 1, -5*y + 24 = o. Which is the closest to o? (a) 2\/19 (b) -10 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -15.9. Which is the closest to s? (a) -0.4 (b) -0.3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 204*k + 214. Let v be x(-6). Is -2021\/2 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/2 - (-1 - -1). Let j(u) = -5*u + 4. Let w(r) = -50*r + 78. Let s(o) = 17*o - 27. Let k(f) = -17*s(f) - 6*w(f). Determine y*j(b) - 3*k(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/40 + (-2)\/(-8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110470, -220933, -331388, -441829, -552250, -662645, -773008?\nAnswer: -883333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4 = -2*k, 2*k + 11 = 4*l + 3*k. Let d = -39.3 + -91.7. Let f = 132 + d. What is the nearest to f in -1\/7, -3, l?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21885393 and 8.\nAnswer: -175083144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*2*sqrt(2736) + -1)*5 - (-4 + 4*-1*sqrt(2736) + 0))**2.\nAnswer: 864*sqrt(19) + 3545857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*x - 5*k, 4*x + 3*k - 16 = k. Suppose -x*m = -4*m. Solve m*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -803*z**4\/24 - 785*z**3\/6 + 58*z**2 + 1. Differentiate f(i) wrt i.\nAnswer: -803","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197 - 242 = -3*l - 8*g, 3*g - 23 = -2*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 11*c - 153. What is o(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -10. Suppose -3*p + 95 = 5*l - 27, -m*p = -l - 166. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1098, -2591, -4258, -6099, -8114, -10303?\n\"Answer: -87*j**2 - 1232*j + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 0)*(3 - 2). Suppose 2*p = 4*r + 86, p - 55 = 7*r - f*r. Suppose 4*q = u - p, u + q - 40 = -0*q. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -371*h**6\/30 + 8*h**5\/5 - h**2 + 4. Find the third derivative of i(z) wrt z.\nAnswer: -8904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*l**4 - 9431*l**3 - 2*l - 745830 wrt l.\nAnswer: 96*l**3 - 28293*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/14? (a) 0 (b) 1.2 (c) -3 (d) 0.75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(2 - 2*u - 2) + (61 + 91*u - 61)*(-3 + 2 + 4).\nAnswer: 269*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -725.\nAnswer: -1\/725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13669 - -13668.99. Let t = -4.92 + 5. Let n = t - -2.92. Which is the smallest value? (a) n (b) 3\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*o + 9 - 94*o - 11.\nAnswer: -159*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from wegwe.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*112\/(-308).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76151?\nAnswer: 271, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 128, 70, 12, -46, -104?\n\"Answer: -58*p + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 99273757729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c*c*c*c**(2\/11))\/c)\/c)\/(c*c**(2\/19)\/c*c))\/(c**0)**26)\/(c*c**5*c**0*c**(-2\/5)*c*c\/((c*(c\/c**2)\/c)\/c)) assuming c is positive.\nAnswer: c**(-9952\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 729292 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/6040 and -1\/64.\nAnswer: 48320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -t - 2. What is the units digit of (-6 - -7)\/((-2)\/t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 2\/9 (c) 1\/5 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**7\/420 - s**6\/360 - 5*s**3\/6 + s**2. Let f(r) be the first derivative of k(r). What is the units digit of f(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -12*g**3 + 5*g - 2. Let b be (7 - 13)\/(4 - 10). Let f(j) = -j. Determine b*k(v) + 4*f(v).\nAnswer: -12*v**3 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0615582898 rounded to five dps?\nAnswer: 0.06156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1) + -4 + -1 + (2 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f - 358 = -1. Suppose o + 66 = -o. Let v = f - o. Calculate the remainder when 44 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400078 is divided by 1748.\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43576 is divided by 14523.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**6\/120 - 7*n**5\/60 - 5*n**4\/24 - n**3 + 32*n**2. What is o(8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4771732000 to the nearest one million.\nAnswer: -4772000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9578 - -5105078\/533. Let l = 18647\/1066 + f. What is the common denominator of l and 319\/60 - 4\/10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a**(-17)\/a)*a**(2\/7)*a)**(2\/33))**(-3\/4) assuming a is positive.\nAnswer: a**(-149\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -8)\/(3 - 5). Let g(s) = -4*s + 1. Suppose 2 = d + 4. Let w(a) = 2*a - 1. Let z(r) = 6*r - 2. Let y(x) = -w(x) + z(x). Calculate d*y(i) + j*g(i).\nAnswer: 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/35*15\/(-2). Let k = -2 - w. Let z(a) = -a**3 - 6*a**2 + 7*a + 2. What is the remainder when k is divided by z(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**2 - 5. Let r(g) = -2*g**2 - 3. Let m(n) = -n**2 + 5*n**2 - 5 + 8*n + 0 - 5*n**2. Let y be m(8). Give y*r(l) + 3*j(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 545211840?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 5, c: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + i - 4. Let q be l(2). Calculate the remainder when 15 is divided by 7 - (-1)\/(3 - q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15045?\nAnswer: 3, 5, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 4164*n**2 - 1391*n**2 - 49 - 1393*n**2 - 1387*n**2.\nAnswer: -7*n**2 + 4*n - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x = 24*x + 136 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 6*f**2 - 16*f + 2. Let r be v(-8). What is the third derivative of 10*z**6 - 40*z**2 + 30*z**2 + 18*z**r wrt z?\nAnswer: 1200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388978824 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -38*u**3 - 37*u**2 + 43*u - 3. Give g(1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 16)*(0 + 0 - 2) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*o - 155, -2*o + 5*z - 9*z = -62. Solve -o*m + 21*m = -50 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 385*d + 15. Let t(v) = -769*v - 25. Let b(l) = 6*t(l) + 11*u(l). What is the first derivative of b(a) wrt a?\nAnswer: -379","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggvvvvg. Give prob of sequence vvvg.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -425718, -425729, -425740?\n\"Answer: -11*o - 425707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 7:50 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 206*l**2 + 7*l - 8. Let f be w(-5). Let o = 56219\/11 - f. Determine q so that -2\/11*q**3 - o*q + 20\/11 + 24\/11*q**2 = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104727 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 w = -37 - -18. Let c = 21 + w. What are the prime factors of (c - (-9)\/(-5)) + (-344)\/(-5)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -17*o + 4. Let p be a(-3). Suppose 5*d + p = 2*h, -5 = d - 0*d. Let k be (-2)\/(-3) - (-95)\/h. Solve -2 = -t + 5*f, -f - 3 = -5*t + k for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 656*b - 660*b = -16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 45040 (base 8) to base 10\nAnswer: 18976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44448?\nAnswer: 2, 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*j - 133*j + 25 = -3*i, 4*j = 2*i + 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 + 41. Let l = -8 - i. What is the remainder when 20 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -155 - -292. List the prime factors of f.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*(sqrt(75) + sqrt(3))**2*-6.\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13 + 1)*284\/(-84). Suppose -3*h = -4*h + 5, 3*h + 67 = -2*y. Let t = p + y. Sort t, -2, -0.3 in descending order.\nAnswer: -0.3, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 137928022*l**2*w**3 + 7731500*w**3 wrt l.\nAnswer: 275856044*l*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3 + 3 + 3*c. Let b(m) = -3*m**3 - 6*m**2 - 3*m - 1. Let y be b(-2). Let n(s) = -35 + y*s + 35. Give n(u(p)).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*s**3 - 8*s**3 + 4 - 13*s**3 - s**4 - s**2 to c + a*s + y*s**2 + p*s**3 + d*s**4 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -7*n**6\/120 - 13*n**5\/60 + 22*n**2. Find the third derivative of p(f) wrt f.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + ((-650)\/42)\/5. Let l = 16\/21 + d. Factor -l*x**2 + 2\/3 - 2\/3*x**3 + 2\/3*x.\nAnswer: -2*(x - 1)*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4))\/(74\/8 - 9) - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -220605407*d. Let y(x) = x**2. Calculate y(s(j)).\nAnswer: 48666745597635649*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 42. Let z be m(10). Suppose a = -0*a - 31. Let s = z + a. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 10*c + (0*c + 0*c - c)*(-1 + 3 - 5))*(-3 + 3 - 6)*(2 - 3 + 0)*(-c - 2 + 2).\nAnswer: -78*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/1413*-1)\/((481\/26)\/37)?\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 - v**3 + 5*v**3 + (4*v**2 + v**2 - 2*v**2)*(-5*v + v + 3*v) + 40*v**3 - 49*v**3 + 2*v + 21*v**3.\nAnswer: 11*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1575 (b) -16 (c) 14 (d) 1\/124 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 t, and 1 m when four letters picked without replacement from fmymtftfqfmq.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 16. Let v = i + 13. Let w = -12 + 7. Which is the closest to -1? (a) w (b) 0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/8 and -29\/4161.\nAnswer: 33288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glpl when four letters picked without replacement from {g: 3, p: 4, y: 7, l: 3, u: 2}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.16 + 0.09. Let m = t + 0.074. What is m rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*i**2 + 120*i + 28*i**2 - 64*i**2 - 120*i + 17*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17041129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3292203 is divided by 386.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 57008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*x = 389*x - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/2107)\/((-3)\/(-21))*154\/(-132)?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -27) + 1 + 0. Suppose -22 - 14 = 2*p + 3*n, 2*n = p + 25. Let u = m + p. Solve -5*s = 3*r - 10*s + 14, -u = -2*s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - n**2 - 3*n**2 + 12 + 13 as c + d*n + a*n**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 1. Let z be (-12)\/5 + ((-24)\/10)\/4. Determine i(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n - 303 = 39 - 34 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -431 and -52 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 4, -9\/5, 3\/19, 1, -18, 2 in ascending order.\nAnswer: -18, -9\/5, 2\/17, 3\/19, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000062476284 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 - 61. Let a be (n\/27)\/(5\/12). Find m, given that -2\/5*m**4 - a*m**3 + 4\/15*m + 8\/15*m**2 - 2\/15 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238249588 a multiple of 2636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28, 56, 86, 118, 152, 188, 226?\n\"Answer: p**2 + 25*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -10, 1\/9, 13 in decreasing order.\nAnswer: 13, 1\/6, 1\/9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 1 + 1)*(3*s**2 - 4*s**2 + 2*s**2) + 2*s**3 - 9*s**3 - 4*s**3.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 413*i**4\/4 - 2162*i**3\/3 - 1186. Find the third derivative of j(q) wrt q.\nAnswer: 2478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*z + 2324 - 1208 = 0 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 5*a**2 + 7*a + 1. Let u be b(6). Let s = u + -3. Let x = 26 + -21. Solve -x*v - s = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 7061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*l**2 + (-l + 0*l + 0*l)*(37 + 10*l - 37).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(50)\/(sqrt(15)\/sqrt(3))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, 0.5, -7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -9 + (-180)\/(-13) + (-112)\/(-390).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 12*y - 16*y + y**3 + 3*y + 6*y**3 + 1. Let k be z(1). What is the first derivative of 11*p**3 + 11 + k - 40*p**3 wrt p?\nAnswer: -87*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 12*t + 75. Let l be u(-6). Suppose -2*a - l = -7. Suppose -4*s - 8 = -3*g, -3*s = -5*g - 2*s + 19. Solve 4*d = 2*h - a, -g*h - h = -25 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**4\/84 + 2*a**3\/21 - 3*a**2\/14 - 9*a. Factor d(i).\nAnswer: -(i - 3)*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 2*t)*(1 + 2 - 1) + t - 5 + 5)*(4 - 5 - 1) - t + 4 - 2 - 2*t.\nAnswer: 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(104))\/sqrt(8))**2 - -2*sqrt(13)*-5) + (4 + sqrt(1573)*2*4)**2)*-3.\nAnswer: -302103 - 2082*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 7*u**2 + 271*u**3 - 274*u**3 + 4 as t*u**3 + k*u + q*u**2 + s and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 98591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 0*z**2 + 2\/21*z**3 + 1\/7*z**4 + 3 + 0*z + 2\/35*z**5. Factor b(v).\nAnswer: 2*v**2*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 352592, 351433, 350274?\n\"Answer: -1159*j + 353751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven quarters of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hicceieeeceiiccm. Give prob of picking 2 c.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f**2 + 19*f - 109. What is the units digit of h(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 903 + -8125\/9. What is the closest to 0 in r, -0.3, 2, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*l + 4*k = -4488 + 2382, 3*l + 2*k = 32 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/98850 + -66064753\/296550. Let c = h - -223. What is the closest to c in 4\/7, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from {g: 1, t: 1, y: 8, j: 1, b: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2241132 (base 5) in base 13?\nAnswer: -1538a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 150438+-40.11\nAnswer: 150397.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -177 + 108. Let q = 71 + z. What is the third biggest value in -5, q, 4\/5, 1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 64?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - -14 - -13*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1680497, 3360994, 5041491, 6721988?\n\"Answer: 1680497*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282306.\nAnswer: 2, 3, 47051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*x + 107 = 0, -2*x = -5*j - 10*x + 124. Solve 16*t = j + 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29.086 + 29. Let h = -14194 + 14194.08677. Let n = p + h. Round n to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 117*v**4\/28 - 58*v**3\/7 + 9*v**2\/2 - 6*v\/7 - 417. Find f, given that a(f) = 0.\nAnswer: 2\/13, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - f. Let m(x) = x**3 + 3*x**2 - 9*x + 28. Let o(q) = -2*m(q) + 10*w(q). Factor o(l).\nAnswer: -2*(l - 7)*(l - 2)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**5\/20 + a**4\/2 - 2*a**3\/3 + 3*a**2\/2 - 3*a. Is 18 a factor of h(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 14*l = 5. Suppose 2*n - l*n + 42 = 0. Suppose 364296 = n*i - 365104. What is i rounded to the nearest one thousand?\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.297158*-0.4\nAnswer: 5.7188632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -822?\nAnswer: 822.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 232?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56290991*a**3 - 2*a**2 - a - 17883735.\nAnswer: 337745946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.2. Suppose -18*c = -15*c - 9. Sort c, p, 1.\nAnswer: p, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3025079 is divided by 3161?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/6*(-342)\/1. Let y = 179 + b. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-8 - (9 + 2)) - -24\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 907 + -908.945. Let x = d - 0.055. Sort -3, 4.5, -5, x in increasing order.\nAnswer: -5, -3, x, 4.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 8*k - 14. Let h(j) = 4 - 7 + 3*j + 1 - 3. Let s(w) = -w**3 + 4*w**2 + 5*w - 6. Let a be s(4). Calculate a*h(d) - 5*l(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -61\/5. Which is smaller: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5762 divided by 67?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 1. Let x be m(-1). Factor -21*d**x - d**3 - 27 + 4*d**3 + 51*d - 6*d**3 + 0*d**3.\nAnswer: -3*(d - 1)**2*(d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*t + 4*c - 68, 2*c = 4*t + 40. What are the prime factors of (-4)\/t + (-715)\/(-25)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 222967*z - 2898740.\nAnswer: (z - 222980)*(z + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -25.7. Let p be (-3 - -2)*(-2 - -1). Do p and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -13*s**3 + s. Let t be g(1). Let n be ((-27)\/t)\/(1\/4). Let h(k) = 34*k - 13. Is h(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36305640, 72611258, 108916876?\n\"Answer: 36305618*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 84*t**2 + 11757*t - 389. Determine k(-140).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2+-354948074\nAnswer: -354948072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6677*m**2*u**2 + 8*m**2*u + 495244*m**2 - u**3 wrt u.\nAnswer: 13354*m**2*u + 8*m**2 - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (448\/128)\/(2\/(-8))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-23))**(-48) assuming g is positive.\nAnswer: g**1104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 476 + -476.4. Which is the nearest to -2\/3? (a) 1 (b) h (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000022 (base 3) to base 15.\nAnswer: -342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(13)*2)**2 - (2*sqrt(13)*1 - sqrt(13)).\nAnswer: -sqrt(13) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(52))**2 + (3*-2*sqrt(143))\/sqrt(11).\nAnswer: 6*sqrt(13) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 23 = 19. Sort -5, r, 1 in descending order.\nAnswer: r, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1643*f**3*j**3 + 955*f**3*j**2*z + f**3 - 792641*f**2*j**3*z + 4*f**2*j**2 + f*j**3*z wrt f?\nAnswer: -9858*j**3 + 5730*j**2*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4894536?\nAnswer: 2, 3, 109, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2665590 to the nearest integer?\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*d = 431 + 421 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 579684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 380424886.02301 - 380421045. Let k = -3841 + p. What is k rounded to 3 dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1025 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, j: 3, k: 1}. What is prob of picking 1 k and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -224*b**3 - 8*b + 219 + 620*b**3 + 8*b wrt b.\nAnswer: 1188*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 + -55. Suppose -a*u + z = -678, 3*u + 5*z - 859 - 145 = 0. Suppose u = 4*m + 3*w, 2*w = -4*m + 7*w + 322. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*72\/14 - (-18)\/(-63). Suppose 3*l = 3*n, -4*n + y = 2*l - 4*l. What is the third derivative of 550*b**2 - 17*b**5 + 4*b**n - 544*b**2 wrt b?\nAnswer: -780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 1\/12*d**4 - 1\/2*d**3 + 0 + 0*d + 17*d**2 + 227\/10*d**5. Is r(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/98 - 199\/294. Let n = -1.27 - -0.17. Let s = n + 0.9. What is the nearest to l in 2\/3, s, 1\/10?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 0*i**3 + 0*i - 4*i**2 + 1 + 0*i**5 + 1\/108*i**4 - 1\/540*i**6. Let n(f) be the second derivative of c(f). Factor n(r).\nAnswer: -2*r*(r - 1)*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 373, -2941, -8463, -16193, -26131?\nAnswer: -38277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g. Let y(q) be the third derivative of q**4\/6 + q**3\/2 - 2*q**2. Let b(w) = 5*u(w) + y(w). Let f be b(3). Solve f = 4*t - 5 - 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*(-3295)\/(-62605).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(-2) - 1) + 9\/3. Solve -4 = 5*o + i*u - 13, 2 = 4*o - u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 9\/5*z**3 + 0*z**2 + 0*z + 12\/5*z**4.\nAnswer: 3*z**3*(4*z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54819 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 2*s + 3 - 3 + (0*s - s - 4*s)*(0 + 1 + 0).\nAnswer: -7*s - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 966 + 582*o + 963 - 1929 in the form l*o + a and give l.\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2\/6 - 46861*d\/6 - 304850 = 0. What is d?\nAnswer: -39, 46900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*u + 14 = 0, 0 = 2*u - 6*u - 4. Let v be 1\/4 + 2\/(-8). Suppose n - b = -v*n. Calculate the smallest common multiple of 7 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2, 11, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 25. Let g = -17 - z. What is the remainder when 17 is divided by 1 - g\/(-6 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millisecond in microseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -4*p**8\/147 - 176*p**7\/735 - 97*p**6\/210 + 22*p**5\/35 - 3*p**4\/14 - 52*p**2 + 2. Solve y(m) = 0 for m.\nAnswer: -3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3393020 to the nearest integer?\nAnswer: 1842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.691 and -872.6383?\nAnswer: 880.3293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26.5 + 26. What is the closest to -1\/3 in -3\/4, 0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-8 - 21) - -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 9:21 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4640388.\nAnswer: 2, 3, 17, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -2 + 5)**2.\nAnswer: 60*sqrt(7) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvfmffxxvfmffjlvmvx. What is prob of sequence mm?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = z - 6*z + 35, 0 = -2*z + 3*d + 16 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**2 + f + 56*f**4 - 2*f**2 - 27*f**4 - 31*f**4 to i*f**4 + t*f + p*f**3 + l + q*f**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(2268)*1)\/(-2*sqrt(9)*3) + ((sqrt(7) - sqrt(28)\/sqrt(4))**2 + 3 - (sqrt(252) + -3))).\nAnswer: -24 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -15. Let y be 5\/1 + (-2 - f). Solve 5*d + 16 = -y*z, z = 2*d - 5 + 14 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j**3 - 16*j**2 - 27*j + 823. Give b(-8).\nAnswer: -2033","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -55?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 5*r = -135666, -5*f - 4*r + 100807 = 16021. What are the prime factors of f?\nAnswer: 2, 3, 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.47194km in millimeters?\nAnswer: 69471940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 6 = 3*q. Let s(h) = -h**3 + 8*h**2 + 6. Let v(p) = 2*p**2 - 10*p - 40. Let u be v(-3). Let k be s(u). Solve 4*o = -k + q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 644 = 4*i, -6*i - 5*y = -8*i + 322. What is the remainder when i is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162 and 82732077.\nAnswer: 496392462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15783969853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 666597 = 3*d + 106*z - 104*z, -3*d + 2*z = -666561. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 202 + -208. Suppose 3*u + 4*p - 2*p - 12 = 0, u + p - 4 = 0. Let v = u - q. Calculate the remainder when 28 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/648*18 + 1\/(-18). Which is smaller: f or 138?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/(-16)*(-16)\/6. Suppose 2 + 29 = 3*d - f*z, 4*d - z - 50 = 0. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/4252276 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 y when three letters picked without replacement from ybbyxybyybygbbxbbg.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -23355 smaller than -21069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 8*f**2 - 11*f + 9. Let t be j(-9). Solve 2*s + t = 5*d, -3*s - 23 = -3*d - d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d + 1 = 0, 0 = 2*c + 2*d - 2. Suppose -6*f + 2*f - 4 = c. Let s(j) be the third derivative of -j**6\/10 + 3*j**2. Determine s(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 55.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Let s be (3 - 1)\/(3\/6). Sort s, w, -1.\nAnswer: -1, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 226 and -34362?\nAnswer: -7765812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 6:02 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/253 + -257\/1012. Let y = 51 + -353\/7. What is the closest to j in y, 5, -2\/7, -1\/8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11146616 + 13?\nAnswer: -11146603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 257, -4, -19, 1?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 181.42 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*g = 40, 9 = 5*g - 1. Let h = 289 + -286. Suppose -h*z - 2*z = -r. Let f(o) = o**3 - 5*o**2 + o. Determine f(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(-4)*j)*j)\/j*j)\/(j*(j\/((j*j**8)\/j))\/j*j))\/((j**(-17)\/j)\/(j\/j**(-3))) assuming j is positive.\nAnswer: j**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8070*t. Let m(i) = 19*i + 299. Let d(l) = 5*l + 78. Let r(u) = -23*d(u) + 6*m(u). Determine r(n(z)).\nAnswer: -8070*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149684*m**3 + 1093*m**2 - 149678*m**3 - 1093*m**2.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1395 + 2069. Let l = a + -161. What is the highest common factor of 38 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1060 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**4\/8 + i**2. Let w(r) = r**2 - 5*r**2 + 3*r**2. What is w(d(c))?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 17*k**2 - 234*k + 5. What is o(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1441 - -270. Let n = b + 1809. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 12:04 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 13\/139, -14\/45.\nAnswer: -14\/45, 13\/139, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkos when four letters picked without replacement from {h: 4, s: 1, y: 3, o: 2, k: 1, w: 1}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10676238, 21352556, 32028874, 42705192, 53381510?\n\"Answer: 10676318*r - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.8 + 4. Let v = o - -0.75. Let d = v - -4.35. Round d to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/(-91)*(12 + (-3710)\/175)?\nAnswer: -46\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*h + 3 = -0*y, 3*y = -h - 12. Sort 132, y, -2 in ascending order.\nAnswer: y, -2, 132","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - -201?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -161.13?\nAnswer: -805.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 + 50. Let y(w) = 15*w**3 + 7*w - 4. Let t = 6 + 1. Let q(z) = 8*z**3 + 4*z - 2. Let m(k) = l*y(k) + t*q(k). Differentiate m(j) with respect to j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2108, -2099, -2084, -2063, -2036, -2003?\nAnswer: -1964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/4 of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 95726370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -120002120 (base 3) in base 8?\nAnswer: -25374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 times 0.31319?\nAnswer: -36.33004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekeeeeeeeeeeeee. What is prob of sequence eek?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*b + 8744 - 282, -5*l + 3*b + 8464 = 0. What is the remainder when l is divided by 40?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.5922 centuries to months.\nAnswer: 89510.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 12:28 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 6:42 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 997 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 597*y**2 - 7888*y - 25620.\nAnswer: (y - 610)*(y + 6)*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80150 or 80149?\nAnswer: 80149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-10))\/(12\/(-150)). Find the second derivative of -4 - 13*z - 29*z**b - 294*z**3 - 23*z**5 + 294*z**3 wrt z.\nAnswer: -1040*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vntvvvtvnnn?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.17*4.\nAnswer: -12.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 3 - (15 - -19).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 8:22 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -691.6 - -1014.19. Let h = 80 - -245. Let u = b - h. Round u to one decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f**2 + 164*f - 309. Calculate u(29).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 10. Let a be r(7). Suppose a = 5*v - 2. What is the smallest common multiple of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/10 and -64\/145?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*v - 26 - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -163 - -107. List the prime factors of 4402\/7 - 8\/y.\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21255653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/41 (b) -1 (c) -3\/5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566971 is divided by 566966?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 287646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002 + 1210121020122?\nAnswer: 1210121022201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 11 = 5*d, 3*d + 4*f = 5*d. Sort -3, 12, d.\nAnswer: -3, d, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -0.5, 6, -366?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 171 and 95?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 5*u**2 - 6*u + 6. Let c be r(5). What is the tens digit of (4\/6)\/(c\/(-1044))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 259 + -5. Suppose -3*n - 5*t + 138 = 0, -n + t = -0*n - 38. Let l = n + m. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 314758 and 56974?\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g - 3*g + 9*g)*(46 - 554*g - 46)*(-2 - 2 + 6).\nAnswer: -2216*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 10*p - 45 = 0. Let l(i) = 2*i + 13. Let m be l(p). Let h = m - -12. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2. Let j(u) = -17*u**2 - 5*u. Suppose 15 - 60 = -9*q. Let t(l) = -8*l**2 - 3*l. Let r(c) = q*t(c) - 3*j(c). Give i(r(v)).\nAnswer: -121*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134 and 1438021?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j - 20367 + j + 38905 - 18538.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 r, and 1 x when three letters picked without replacement from axaxaaxxxxasaaaxrax.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32515, -130135, -292863, -520723, -813739, -1171935?\nAnswer: -1595335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-7) + 3\/7. Suppose -3*x + 155 = -5*p, g*x - p - 159 = 2*p. Calculate the remainder when x is divided by (-2)\/(-5)*(4 - (-35 + 4)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 3*o + o)*((5*o - 3*o + 2*o)*(0 - 2 + 0) - 3*o + 2*o + 3*o + (9 - 4 - 2)*(2*o - o - 2*o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.1. Let s = 0 - -0.4. Let f be (3\/2)\/(18\/10). What is the nearest to q in s, -3, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 1 + 1. Let n(h) = h**3 - 16*h**2 + 2. Let g be n(16). Let d(b) = -306*b**2 + 158*b**2 + 171*b**g. Determine k(d(m)).\nAnswer: 529*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24877230 is divided by 584.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 138\/1518 + 6\/(8 - -58)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1 (b) 2\/9 (c) -4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -17 + 0 + 3 - -4 - 18?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.32474 to two dps.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 83 or 3?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 7. Suppose z*g + 3*f - f - 19 = 0, -5*f = 2*g - 20. Suppose g*j = 0, -15 = -5*t - j - 0*j. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 80712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125312508 by -9.\nAnswer: 13923612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -17023200 to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152 divided by 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -8920.\nAnswer: -8919.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + a - 2*a - 6 = 0, a = 3*c + 19. Let w(z) be the second derivative of -z**3\/6 - z**2 - z - 8. Give w(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.6, 1\/2, -1065, -0.2, 0.1, -1\/2, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(15)\/sqrt(3) + -2 + 1*sqrt(5) + sqrt(5) + (sqrt(1250)*1)\/sqrt(10))**2.\nAnswer: -80*sqrt(5) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**5 + 475*y**4 - 11515*y**3 + 11045*y**2.\nAnswer: -5*y**2*(y - 47)**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 733822.6 nanograms in tonnes?\nAnswer: 0.0000000007338226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5958368?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3547960 and 1040.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 8 = -5*f. Suppose f*l - 17 - 19 = 0. What is the remainder when l is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**2 + 1. Let d(v) = 4*v**2 + 2*v - 4. Let w(j) = 3*j**2 + j - 3. Let g(c) = -2*d(c) + 3*w(c). Let k be g(-1). Calculate h(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v + 4, -3*s + 3*v - 96 = 0. Let l = s + 36. What is the tens digit of (-2)\/l*23*(-12)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1252 (base 12) to base 4\nAnswer: 200132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/7, 107\/3, 72?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fucuficccfufuuz. Give prob of sequence cu.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/30*325\/260.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2. Let m be -2 - 16\/(-9) - 318\/27. Let w = 19 + m. Let p(y) = 6*y - 3*y - w*y. What is k(p(d))?\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 77 - -4?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 554601 - 554601.1300005. Let l = -0.13 - y. Round l to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence waww when four letters picked without replacement from awwwayaaaaayaaaaa.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**(-1\/23)\/(d**(-15)*d**(-2)*d) assuming d is positive.\nAnswer: d**(367\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -60*(14\/(-4) + 2) - -2?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 90?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**8\/112 - 2*x**7\/35 + 3*x**6\/40 + 7*x**5\/10 + x**4 - 12*x**2 - 2*x. Find p such that s(p) = 0.\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68423 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - -1 - (-510 - -516 - (1 + -6))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 13 + 6 + (2 - 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -15*(7\/(-3) - -2). Let h be j\/(-1*(-1)\/1). What is the closest to -1 in 2\/19, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/4*(82705\/735 + -111)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-210)\/(-28)*8\/(-10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1120814142 to 5 dps.\nAnswer: -0.11208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1122 (base 3) to base 4.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4824 - 4878 = -294*j for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -245 - -25151125?\nAnswer: 25150550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 4*q - 128 = -2*q - 83, -3*c = -2*q - 27 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**6\/360 + u**5\/360 + u**4\/36 - 5*u**3\/3 - 2. Let a(q) be the third derivative of m(q). Determine k, given that a(k) = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -0.5, -1529, -1, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 + 2. Let h(s) = 2*s**2 + 1. Let f(o) = o - 112. Let p be f(19). Let c = p - -101. Calculate c*h(b) - 5*u(b).\nAnswer: b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7661220?\nAnswer: 2, 3, 5, 7, 17, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 13) in base 3?\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 727, -1, 5, 1, 0 in decreasing order.\nAnswer: 727, 5, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/6)\/(15\/45). Let a(s) = 9*s + 4. Let o(n) = -4*n - 2. Let h(i) = 3*a(i) + 7*o(i). Let k be h(0). Is z <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (42\/105)\/((-8)\/120). Which is smaller: -188\/29 or c?\nAnswer: -188\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13416188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**7\/70 + w**6\/40 - w**2 - 2. Let f(m) be the second derivative of q(m). Let f(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 9, g: 8, t: 2}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -9. Suppose -d*i + 424 = -61. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3238 is divided by 180?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10613?\nAnswer: 10613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/4)\/((-424)\/48 - -9). Let g = -7 - -22. Let o be (h\/g - -3)*15\/2. What is the highest common divisor of o and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 20422114?\nAnswer: -20422118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 58833 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17148 + -42?\nAnswer: -1718a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56.06 - -53. Let v = -3 - h. Let m = v + -0.099. What is m rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -80*a**3 + a**2 - 1. What is k(-1)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52005 and 50?\nAnswer: 520050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/5 + 11*n**2\/5 + 43*n\/5 - 24\/5.\nAnswer: -(n - 8)*(n + 3)*(2*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2 + 9756*z + 11897442 = 0.\nAnswer: -2439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53706468 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 4*q - 3. Let r be j(5). Suppose r*z = -0*z + 10. Solve -9 = -l - z*y + 2*y, -3*y + 12 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104324207 to the power of 1\/2, to the nearest integer?\nAnswer: 10214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3, -2*r + 4*n + 2 = 4. Let w be (-26)\/(-36) + 2\/(-4). Suppose 2*m + m = 0. Which is the nearest to m? (a) w (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 1344\/18)*(-88)\/(-308) + 19\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 63954*h + 14*h**2 - 63954*h.\nAnswer: 14*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136414380 to the nearest integer?\nAnswer: 11680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9784368 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 402750 a multiple of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -15. Suppose 6*w = v + 20. Solve w = -y - y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-16))\/(8022\/(-475972))*4.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*z**2 - 27*z**2 - 39*z**2 - 5*z**2.\nAnswer: -113*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 - 0.4. Let q(a) = -a - 6. Let z be q(-5). Let p = -296849\/2 + 148423. Sort w, z, p in descending order.\nAnswer: w, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001256785512 to six decimal places.\nAnswer: 0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4723, 4735, 4747, 4759, 4771, 4783?\nAnswer: 4795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -29\/3, -64, -0.3, 0.4, -4\/5, -0.1, -40\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 11:17 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*q - 31 + 28*q - 19*q + 46*q - 27*q.\nAnswer: q - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -734 + 734.000003299. What is c rounded to seven decimal places?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide (-36)\/126 - (-12588)\/7 - -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 31*i**2 - 48*i + 22. Let q be c(29). Suppose -9*o + 7*o = -q. What is the greatest common factor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60112 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (36\/16)\/(((-9)\/(-6))\/1). Let x(k) = -k**3 - 33*k**2 + 114*k + 218. Let v be x(-36). Find s such that -9*s + 15\/2 + d*s**v = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + d + 4. Let k be x(3). Let t = k - 2. What is the remainder when t is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43296 and 16236?\nAnswer: 129888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a millennium in decades?\nAnswer: 1540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/1550 and -163\/38130.\nAnswer: 190650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*s**2 + 197289347*s + 126377663 wrt s.\nAnswer: -8*s + 197289347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - j**2 + j + 1. Let c(g) = -27*g + 29. Let i be c(-16). Let p = 462 - i. Let a(v) = 2*v**3 + 3*v**2 + 3*v - 1. What is p*a(n) + x(n)?\nAnswer: n**3 + 2*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/5 + 243\/20 and (224\/(-77) - 5)\/(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 9:14 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjjmbjjyyja. What is prob of sequence jy?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-40))\/((18\/10)\/(-3))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10915 or 10914?\nAnswer: 10915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5*3 + (-2 - 1) and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*u - 3739, 5*x - 10 = 10. Calculate the remainder when u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 4*j + 14, -b + 3*j + 11 = b. Let t(i) = i**2 - 2*i - 1. Let r be t(3). Let h be (10\/(-4))\/(r\/(-4)). Put b, -1, h in descending order.\nAnswer: h, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2065494 from 0.2.\nAnswer: -2065493.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 7)*(9 + 195\/(-20)) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1020*t - 1853.\nAnswer: -1020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4*2\/3. Let x = -210 + 2728\/13. Which is the third smallest value? (a) 1 (b) u (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12a (base 16) in base 15?\nAnswer: -14d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.034585 times -5?\nAnswer: 0.172925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -222, -329, -434?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019 less than 8.71?\nAnswer: -1010.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 - s - 1. Let u be i(-1). Let o be (-3 - (-4 - -3))\/(-1). Suppose x + u*m = 0, -3*x + o*m = -16 - 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3416753.73 rounded to the nearest 100000?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8276*c**4 - 9*c**2 + 44*c + 5191605 wrt c.\nAnswer: 33104*c**3 - 18*c + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2. Let j be n(-1). Let v be (j\/8)\/((-1)\/6). Let m = 700\/201 - 345\/67. What is the nearest to 1\/3 in v, -1\/6, m?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3502, -3464, -3434, -3418, -3422, -3452?\nAnswer: -3514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29347781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 20 - 366. What is a rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 > 3\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75416289 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88\/9 - 580\/63. Let k be (-2)\/(-10) - (-4 - (-12)\/3). What is the fourth smallest value in k, 1\/2, z, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {j: 1, o: 1, i: 2, w: 3, h: 4, y: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8*b**2. Let l(j) = 12*j + 6*j + 7*j - 12*j. Give l(v(w)).\nAnswer: -104*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/34 or 6809?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 564416 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 31 = -37. Let y(m) = -20*m**2 + 7*m - 36. Let r(f) = f**2 - f + 1. Let h(d) = n*y(d) + 4*r(d). What is the first derivative of h(j) wrt j?\nAnswer: -32*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x + 10*x - 5*x + 4*x**2 + 8*x.\nAnswer: 4*x**2 + 20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*14\/(-280)*(-4)\/6.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 256\nAnswer: 5\/256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(78)\/(-1*sqrt(6) - sqrt(6)))**2.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*o + 4409, 0 = -o - 9*u + 6*u + 884. Suppose -12*c = -3893 + o. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 1281\/1553?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 32 - 73 = b, 3*x + 5*b = 25. What is the lowest common multiple of 28 and x?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 9. Let o = -8 - q. Let c(l) be the second derivative of -l**5\/20 - 5*l**4\/12 + l**3\/6 - l**2 - 8*l. Determine c(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2169 - -2022. Is s < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2632043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 10:50 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*y, -4*l - y = -95 - 33. Find the third derivative of -93 + l*x**2 + 93 + 5*x**4 - 9*x**2 wrt x.\nAnswer: 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -231.62286 - -0.05286. Let x = g - -234. What is x rounded to one dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 259.\nAnswer: 1\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + y. Suppose y = -o + 19 + 6. Is 23 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - m + 2 + (-7 + 5 + 14)*(10 - 7 - 2*m + 3*m).\nAnswer: 11*m + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 13*r**2 - 6*r - 14. Let d(z) = -24*z**2 + 10*z + 27. Let m(w) = 6*d(w) + 11*g(w). Calculate m(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16146*h*t**3*w**2 + h*t**2*w**2 + 40*h*t**2 + h*t - 8*t**2*w**2 wrt t?\nAnswer: -96876*h*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26891 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*u + 17*u = -2860. What is the remainder when u is divided by 40?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428 = -98*o + 372 - 212 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 2)\/(2*(-9)\/6). Which is smaller: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 45?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-4 - 0 - -1 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 e when four letters picked without replacement from ieeiie.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -268, -775, -1542, -2575, -3880, -5463, -7330, -9487?\nAnswer: -11940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**16*h)\/(h**(-1\/5)\/h) assuming h is positive.\nAnswer: h**(91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5781229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.544232 - -15?\nAnswer: -23.544232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-2 - 2) - (10 - (35 + -37))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*k + 59, 0*n - n + 19 = -2*k. Suppose -h = 2*w - 13, w - 3*h + n = 5*w. Solve x = 4*d - 17, -4*x + 5*d - w = 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*f + 2480 = 156*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2454 and 30.\nAnswer: 12270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10268)\/(-136)*9\/(-3))\/(81\/54).\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -55 - -3?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 + 17 + 37 + (-1 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 88*a**3 + 4*a**2 + 3*a + 1. Calculate j(-2).\nAnswer: -693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 489 - 444 - (1 - -23)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34795 - 13*x**2 + 34795.\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/1 - 4)*(-2)\/(-5). Suppose b*p = 5*y + 59, 4*y + 98 = 3*p + 6*y. Solve d - p = 9*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -14, -8, 6, 28, 58?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -20.54*-62427\nAnswer: 1282250.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3361275 and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8933 + 8941 + -2 + -106\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 16*b**2 - 82*b - 742. What is the tens digit of u(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 152240 + 152219 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 396665805 and 2.\nAnswer: 793331610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**2. Let c(f) = -76*f + 4 + 83*f - 4. Give c(z(a)).\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125253 + 125253 - 6*m**3.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -417 + 1687 - 419 - 423 - 105*n**2 - 423.\nAnswer: -105*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 589.58389 + 0.04620936.\nAnswer: 589.63009936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 53988007.\nAnswer: -1\/53988007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -1238, 20 in decreasing order.\nAnswer: 20, 0, -4, -1238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 - 9*i**2\/4 + 3*i\/4.\nAnswer: 3*i*(i + 1)*(2*i - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 10:19 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72)\/sqrt(81) + (sqrt(1152) + sqrt(1152) + 1)**2.\nAnswer: 290*sqrt(2)\/3 + 4609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*d + 2953, 6*d = d - c + 4911. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -359\/2? (a) 0.5 (b) 358 (c) 724\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51897305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 9 - 18. Sort y, -2, -3 in increasing order.\nAnswer: -3, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t + 5. Let g(r) = -1. Let c(n) = 5*n - 1. Let i be c(0). Determine i*z(w) - 4*g(w).\nAnswer: -3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by -240.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83040780*i**5 - 148774613*i?\nAnswer: -1660815600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = i + 4*y - 16, -4*i - 12 = -3*y. Let a be 2*(2 - 3) - i. Let m(d) = d**2 + 3*d + 3. Calculate m(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5 + 2 - -4)*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011 + -1011010?\nAnswer: -110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -603*x**2. Let s(k) = 5*k - 67. Calculate s(w(u)).\nAnswer: -3015*u**2 - 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y - 5*y + 9*y**2 + 3*y**3 - 2*y**3 + 3 - 2*y**3. Let t be v(8). Let j(o) = o**2 + o + 3. What are the prime factors of j(t)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -56567483.\nAnswer: 11313496.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -7*v + 171. Let n be c(24). Let l be (10\/4)\/(3\/6). Solve 5*g + 12 = n*g + 4*k, l*k = 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p - 8. Let w be u(7). Let a be w\/6 - (-5)\/(-15). Let k be a\/(-14) + (-166)\/(-7). Solve 3*g = 5*y - 4*y + 14, 4*y + 4*g = k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t = -9195 + 136135. What is the thousands digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 - t**2 - 3*t + 3. Let n(j) = -j**3 - j**2 - 1. Let p(o) = -k(o) - 3*n(o). Factor p(c).\nAnswer: c*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3765 (base 12) to base 8.\nAnswer: 14175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 43368*g + 40 - 86747*g + 43381*g. Suppose 14 - 104 = 5*s. Determine w(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 736 (base 9) to base 13\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -49*w + 1. Let l(s) = -s. Determine z(l(q)).\nAnswer: 49*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*i + 0 = 1615, 3*p = 5*i + 959. Calculate the remainder when p is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.1 times -9\nAnswer: 27.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 10*i**2 - i + 15. List the prime factors of a(-4).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 18 = -3*c, 7*c - o + 9 = 8*c. Let m(l) = 4*l + 2. Let t be m(3). Solve c = -d - 19 + t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3 + 1, -2*n = -3*l - 2. Suppose l = -2*b + g + 41, -4*b - 2*g = -6*g - 84. Calculate the greatest common factor of 50 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 4) + -2 - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/(q*q\/(q*q**(-5)*q))*q*q)))**(-6\/11)\/(q\/q**4)**42 assuming q is positive.\nAnswer: q**(1398\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5782656 - b?\nAnswer: 5782648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9696 and 519936.\nAnswer: 52513536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53837918?\nAnswer: 2, 2153, 12503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 27 = 13. Solve -f + 0 = 3*b - k, -5*f - 3*b + 26 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 5. Let f be m(-5). Suppose f*i - 4 = -4*i. Suppose 9 = 5*w - 6. What is the greatest common factor of i and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420904 is divided by 26301.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*13839.\nAnswer: 27678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16 + 2*o**3 - 624*o + 32*o**2 + 625*o + 11*o**2 wrt o.\nAnswer: 12*o + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -5. Suppose 4*c = 16, h*u + 5442677 = -0*u - c. Let n = u + 484227. Round n to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4, -7\/5, 0, -42, 1\/6.\nAnswer: -42, -4, -7\/5, -0.5, 0, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.2 - 318.2. Let m = y + 309.5. Let w be 44\/48 + (-2)\/3. What is the biggest value in w, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((2 + (0 + sqrt(567))*5)*-1 - ((4 + sqrt(567)*3 - sqrt(567)) + 3*1*sqrt(567))))**2.\nAnswer: 1080*sqrt(7) + 56736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/77130 and 2\/3615.\nAnswer: 18588330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -71*h - 2. Is x(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31099 = -95*s + 486909 + 111720. What is the highest common factor of s and 1442?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -430 or -480?\nAnswer: -480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 4155 to the nearest 100.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8820 and 9009.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45.56 - -41. Let v = k - -0.56. Which is the third smallest value? (a) v (b) 3 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 80072508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 426\/7 (b) 29\/4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (sqrt(2448) + 0 + sqrt(2448))**2*2).\nAnswer: 19579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 + 4*y**2 - 2*y - 471. Let v(o) = -10*o**3 + 18*o**2 - 9*o - 1884. Give -2*v(z) + 9*x(z).\nAnswer: 2*z**3 - 471","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -4. Let b = 20 - a. What is the lowest common multiple of b and ((-4)\/(-5))\/(58\/1595)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 12:58 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110213 + -20?\nAnswer: -110233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5319 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: Round -33510000 to the nearest one million.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r + 25*r + 522 = 12*r for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109 + -184. Let v = 74.943 + w. Let o = v - -8.857. Round o to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025148 minus -29.163976?\nAnswer: 29.189124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + p**2 - 1051*p + 46. Determine k(32).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from llilliiillilll?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and 0.0408?\nAnswer: -0.3672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33441 + -4432?\nAnswer: 24004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 6, j: 1, h: 1, r: 1}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8 - -11) + 38*1. Let w = b - 36. Suppose -2*s - 2*x - 56 = 2*s, -w*s - 3*x - 72 = 0. Calculate the common denominator of s and 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -920846 + 6751\nAnswer: -914095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 202576 - 416?\nAnswer: 202160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.9 - 4.7. Let y = i + -3.2. Let z = -0.5 - -0.3. Which is the smallest value? (a) 2\/11 (b) z (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 177*x - 28150. Give y(159).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 107056833?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 + 64648*g**2 + 129280*g.\nAnswer: 4*g*(g + 2)*(g + 16160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = -35*p - 128 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 974 and 8561947.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(-3 + 2 - 2)*(0 - 2*d**3 + 0).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14088 divided by 1761\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 303 in -0.03, -1\/11, 0.2, 1983, -3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11981 at most 11981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5 - 0. Solve 2*j + 0*j = -d - 6, -a*j - 6 = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23213, -46292, -69371, -92450?\n\"Answer: -23079*i - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 25*c**2 - 150*c - 103. Calculate the remainder when 12023 is divided by p(7).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5940 and 1350.\nAnswer: 29700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11850?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 43.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -31.2\nAnswer: 124.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20930 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -96 + 112. Let l(o) = 0 + 48*o + 20*o + 3*o + 2. Let u be l(2). Calculate the greatest common divisor of u and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - sqrt(450)*1 - 6*(sqrt(18) + (sqrt(90)\/sqrt(5) - sqrt(18))))\/(sqrt(18)\/sqrt(32) + (sqrt(18)\/sqrt(2) - sqrt(9))*4).\nAnswer: -40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**(-4\/7)\/u)\/u)*u\/(u\/u**(-18\/11)))\/(u*(u\/(u*u**(1\/14)))\/u*u*u*(u*u**(-10))\/u) assuming u is positive.\nAnswer: u**(1541\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d + 0*d + d**4 + (-4*d**3 + 4*d**3 + 2*d**3)*((-1 + 3 - 4)*(-d - 3*d + 6*d) + 5*d - 3*d - d - 8*d - 5*d + d).\nAnswer: -29*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -0*z + 12. Solve -v - z*l = v - 13, 0 = v - 4*l + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*87\nAnswer: 34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63813?\nAnswer: 3, 89, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g + g**2 + 4 + 2 - 3*g. Let b = 18 - 18. What are the prime factors of m(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-7 - -28 - 33)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 15 = 10*r - 13*r, 0 = -2*k - 3*r - 15. Let z(j) = 2*j**2 + j + 160. List the prime factors of z(k).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 907352 and 2.1.\nAnswer: 1905439.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1660 divide 32874504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 0.5, -1, 31, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1412*h**2 - 4970391*h + 4970391*h + (-4 + 4 + 2)*(3*h**2 - 2*h**2 + 0*h**2) to p*h**2 + q*h + j and give p.\nAnswer: 1414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -3, 5, -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11869521?\nAnswer: 3, 47, 84181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1186, 116, -3236, -8876, -16810, -27044, -39584?\nAnswer: -54436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 597.1968 weeks?\nAnswer: 4180.3776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5079015 + 52276*t**3 + 5079017 - 2*t + 2*t - t**3 - 4*t**3 + 3*t**3 + 3*t + t**3 - 3*t + (2*t**2 - 4*t**2 + t**2)*(2 - 2*t - 2).\nAnswer: 52277*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 6*z - 36. Calculate the remainder when 53 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = 42 + 70. Let n(q) = q**3 + 11*q**2 + 10*q - 10. Let j be n(-8). Suppose 3*v - 36 - j = 0. What is the least common multiple of v and z?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*v - 2*l + 2*l = -2*l - 5, -3*v + 6*l = 3*l + 111 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*z - z - 18 = 0, 5*s - 4*z - 55 = 0. Let l(v) = v**2 + v + 6*v**2 + s*v + v**3 + 6 - v. What is l(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(198) - ((sqrt(198) - -2*sqrt(198)) + sqrt(198)))*2)\/(sqrt(726)*2))\/((-2*-1*sqrt(121))\/(sqrt(22)\/(sqrt(2) + sqrt(2) + sqrt(12)\/sqrt(6)))).\nAnswer: -sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1441*i - 1438*i - 2*n - 22, -3*i = 5*n + 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5\/5 - 984*h**4\/5 + 80998*h**3\/5 - 777704*h**2\/5 - 822888*h - 4454272\/5 = 0.\nAnswer: -2, 16, 89, 391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5 + sqrt(1216)*-2)**2.\nAnswer: 288*sqrt(19) + 4945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (513\/24)\/(-9) - (13 + 3569\/344)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -1, -4\/3 in descending order.\nAnswer: -1\/7, -1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3 - 12 = 5*j, -j + 5*p - 26 = 0. Let f = -15.07 + 15. Let q = f - 4.93. What is the second biggest value in q, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 8*w**2 - 18*w + 44. Calculate c(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -2197.5.\nAnswer: 8790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 62 = 2*m. Let r(l) = 2*l**3 - l**2 + 45*l - 137. Let v be r(4). Calculate the highest common divisor of v and m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 363\/(-1089)*90\/(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 113, 114, 115, 116, 117?\n\"Answer: q + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 308095150 a multiple of 1161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.22, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + z - 18 = -2*n, 2*z + 2*n = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -259 times -217.28\nAnswer: 56275.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 443330?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*n + 5*w - 5, -5*n + 22 = -3*w. Which is the closest to 1? (a) -5 (b) 1\/11 (c) 0.5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v - 160 = 8*v. Solve -3*x = 2*l + v, 4*x - l + 6*l + 18 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -823.98 - -824. Let t be ((-4)\/5)\/(40\/100). Let n be 36\/(-24) + (-5)\/t. Which is the second smallest value? (a) n (b) g (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 683*y**2 - 98*y**2 - 96*y**2.\nAnswer: 489*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 4096866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + x + 39. Let g be t(0). Let n(d) = -4*d - 53. Let v be n(-23). What is the greatest common factor of g and v?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13 in 3\/4, -4, -1, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1786818 and 588.\nAnswer: 175108164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16714 and 150426.\nAnswer: 150426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyut. What is prob of sequence tu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -185\/18, -0.11?\nAnswer: -185\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.06713*-22.17\nAnswer: 1.4882721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42.69 - 47.69. Which is the closest to -1? (a) -15 (b) p (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-171)\/114*136\/(-12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5556799m in centimeters?\nAnswer: 55.56799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-3)*4\/3. Let u be 3\/(-2)*(-4)\/3. Let h = u + -1. Sort h, n, -3 in ascending order.\nAnswer: -3, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*85550066\nAnswer: -342200264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 606 - 606. Solve f = -a + 100 - 103 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 957*f**5 - 2*f**3 - 9*f + 8?\nAnswer: 19140*f**3 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 3*p = 2*p, 3*u + p = 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/3 - (-9)\/(3 + 0). Let n = 31.9 - 27. Let v = 0.1 + n. What is the closest to -0.2 in v, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 + -0.2. Let u = -10.1 - -10. Let f = -0.04 - -2.04. Sort u, t, f.\nAnswer: u, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y + 12. Let k be i(6). Let b = 5 + k. Suppose -24 + 29 = b*r. Are 4\/13 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -3. Let x be -4*(n + 1) - -3. Solve 5*v + 3 = -x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 95 = y - 90, 5*z + 5 = 5*y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 456, -7 in increasing order.\nAnswer: -7, 2, 6, 456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48855?\nAnswer: 3, 5, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -15*b + 2. Suppose -2*t + 2 + 193 = -5*m, 3*m + 315 = b*t. Calculate the least common multiple of 60 and t.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 + -1.51.\nAnswer: -1.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -338*w - 3190 + 3866 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1610903*y - 1610903*y + 40*y**2. Let k(g) = 6*g**2 - g - 4*g**2 + g. Determine k(c(p)).\nAnswer: 3200*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m. Let o(q) = 13*q + 5*q - 13*q. Determine x(o(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.1 - -72.9. Let i = -88.8 + n. Round i to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -18 - (-129 - -110)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/35)\/(48\/(-4032)*564).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {q: 8, k: 2, n: 4}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 532 - 532. Suppose o = 5*f - 4834202 + 20784202. Round f to the nearest one hundred thousand.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16532, -16659, -16786, -16913?\nAnswer: -17040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/24)\/((-1)\/(-1)). Let x = -4.4 + 5. Let f = 0.3 - x. Which is the smallest value? (a) f (b) h (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 270991586*w. Let k(c) = 3*c**2. Determine v(k(z)).\nAnswer: 812974758*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**4\/6 - t**3\/3 - t**2\/2 + 38*t. Let q be a(-1). Put 8, 4, -5, q in increasing order.\nAnswer: -5, q, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*r - 5*d - 22, -3*r - 227*d + 223*d - 14 + 48 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 313*m**2 + 1273*m + 1575. Calculate h(-317).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15316393 times 0.7\nAnswer: 10721475.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 113344.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 - 871*y - 2. Let x(n) = -n - 102. Determine o(x(c)).\nAnswer: -2*c**2 + 463*c + 68032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-30)\/(-50) - 1*(-2069570)\/50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 + (8 - 2) + -4. Suppose 2*c = 3*m - 2*m - 9, 4*c + 3*m - 7 = 0. What is the units digit of (10 + v)*c\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b - 2*b + 0*b)*(3232 - 1182 - 997) in the form c + s*b and give s.\nAnswer: 1053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001545 rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 464, 452, 440, 428, 416?\n\"Answer: -12*u + 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 4*n**2 + 8*n**2 + 0*n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45585*y**3 + 45565*y**3 - 1164 + 1167.\nAnswer: -20*y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 148*p**4 - 148*p**4 + p**2 - 5 + 24*p**5 wrt p?\nAnswer: 1440*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**3*f**3*k - 118*c**3*f**2*k + 33*c**2*f**3 - c**2*f**2 - 2*c*f**3*k wrt c?\nAnswer: -6*f**3*k - 708*f**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6902 and 13328.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (-14 + (-11 - (-9 + -14) - 6))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9354.386 kilograms to micrograms.\nAnswer: 9354386000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, v: 6, p: 12}. What is prob of picking 2 v?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-616)\/70)\/((-2)\/5). Solve 3*p = 4*m + r, 3*m + 18 = -0*m + 3*p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((8\/6)\/(-2)). Let s be 73 + (y - 0\/1). Suppose 4*x - s = -j - 3*j, -5*j + 2*x + 109 = 0. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 809 - 840. Which is smaller: l or -12?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1910940 divided by 477735\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/(-6))\/((-34863)\/(-11619) - 3).\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2562 is divided by 2553?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -4\/3, 147.3?\nAnswer: 147.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + k - 1. Let v(y) = 2*y**2 - 2*y + 2. Let c(g) = -12*j(g) - 5*v(g). Let f(i) be the first derivative of c(i). Calculate f(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2362298445 to the power of 1\/2, to the nearest integer?\nAnswer: 48603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3, -1, -40, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1888 = -l + 5*u, 34*u = 38*u + 20. List the prime factors of l.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60768*n + 11 = 2*y - 60763*n, 5*n - 14 = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*n**2 - 74*n**2 + 32*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + (sqrt(200)\/sqrt(4))\/sqrt(10) + (-2*-1*sqrt(5))**2 + (sqrt(720) - (1 + sqrt(720))*-1)**2).\nAnswer: 245*sqrt(5) + 14510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2940) - 4*sqrt(2940))*-4)\/(2*sqrt(1728)*-5).\nAnswer: -7*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 2*z**2 - 4*z - 4. Suppose 30 + 38 = 17*k. Let x(w) = 2*w**2 + 3*w + 3. What is k*x(q) + 3*j(q)?\nAnswer: -3*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26641190?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.113 + -0.387. Sort 0.4, -18, a.\nAnswer: -18, a, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 181197 - 0.4\nAnswer: 181196.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12026.\nAnswer: 2, 7, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 15.06. Let z = p + 2.06. Put z, -2, 4 in increasing order.\nAnswer: -2, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.656 + 17. Let h = 0.3439364 - q. What is h rounded to six decimal places?\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -6 - -4 - (-59 + 40).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -10 + 5 - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 85?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-5))\/(1\/1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 11*g + 4. Let c(d) = -d**2 - 12*d - 4. Suppose 3*h = -w - 10, 6*w = 5*h + w + 30. Let o(s) = h*c(s) - 5*f(s). Give o(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 92175, 368677, 829513, 1474683, 2304187, 3318025, 4516197?\n\"Answer: 92167*r**2 + r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -561*m**3 + 1672*m**3 - 549*m**3 - 551*m**3.\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*b = 300. Let p = -11047 + 8791. What is the tens digit of p\/b + (-3)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 570262 and 825.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + (0 + 1 - 2). Suppose -7*p = -9*p + c. Solve m = p*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -239, -410, -645, -968, -1403, -1974, -2705?\nAnswer: -3620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(3) + (sqrt(3) - (sqrt(192) + -1))).\nAnswer: -18*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 446069, 1784387, 4014911, 7137641, 11152577, 16059719, 21859067?\nAnswer: 28550621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 42901.15 decades?\nAnswer: 429.0115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, g: 3, h: 2, t: 4, o: 1}. Give prob of picking 1 h, 1 o, 1 t, and 1 b.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13591\/(-63) + 2\/7. Let g = v + 215. Let u be ((-3)\/(-9))\/(1\/(-15)). Which is the closest to -1? (a) 0.3 (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 4\/7, 5460?\nAnswer: 5460","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 - 20*o**2 + 4*o**2 + o**2.\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 476, 473, 460, 431, 380, 301, 188?\n\"Answer: -o**3 + o**2 + o + 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 6:36 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1980 and 156?\nAnswer: 25740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 14. Suppose 0 = -u - x - 8. Is u smaller than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -2 + 0)*-5. Suppose 5 - 25 = -d*f. Suppose -3*n + 40 = 5*t, -f*n = -0*n. Is 0 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47801*p + 47801*p + 662*p**4 + (p**2 - p**2 + p**3)*(p + 1 - 1).\nAnswer: 663*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) - sqrt(625)*-1)\/(-6*sqrt(5)*1).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6090227369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-6\/7)\/z*z\/z**(-3)*z**6*z**(-14) assuming z is positive.\nAnswer: z**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11646 is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219225?\nAnswer: 3, 5, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 9*v + 2. Let f be r(9). Suppose -f*u + 3*u - 257 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -9*i**3 - 48*i**2 + 8*i + 10. Let t(w) = 17*w**3 + 88*w**2 - 15*w - 19. Let o(d) = -6*t(d) - 11*x(d). Calculate o(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.13214 (b) 0.5 (c) 1\/7 (d) 2\/5 (e) 5 (f) -1.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.12, -0.3, 0.5, -3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (130*t - 64*t - 220*t - 205*t)*(-3*t**2 + 3*t**2 - 3*t**2) as l + y*t + m*t**3 + z*t**2 and give m.\nAnswer: 1077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 37*c**5\/2 + 8879*c**4\/3 + 183607*c**3\/6 + 147194*c**2\/3 - 894*c = 0.\nAnswer: -149, -9, -2, 0, 2\/111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -143952*o**6*u**2 - o**3*u**2 + 3834*o**2*u**2 - 17*o**2*u wrt o?\nAnswer: -17274240*o**3*u**2 - 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14623789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114.5674 + -212.083. Let f = l + 10.5896. Let h = f - -87. What is h rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (-58 - -30) + -15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 415555765.52188358 + -415555722. Let n = d - 0.52195758. Let r = n + -43. What is r rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0 = -30. Let b(n) = 4*n**2 + n - 1. Let f(c) = 3*c**2 - 6*c - 3. Let k(g) = b(g) - f(g). Give k(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 - 1. Let i(c) = c**2 + 6*c + 6. Let h be i(-5). Suppose -y + 0*y - h = 0. Let t be z(y). Put t, -2, -5 in decreasing order.\nAnswer: t, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 819085*y**4 - 276*y**2 - 591 wrt y.\nAnswer: 19658040*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -853, -444, -35, 374, 783, 1192?\n\"Answer: 409*k - 1262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2 - 8 = -3*c, 2*c + 4*y = 8. Let p(a) = 35 - 4*a - 35 - a**c. Give p(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 7a6?\nAnswer: -7a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from bspkktktpwpptp.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 12.5. Let q(j) = j**3 + 6*j**2 + j + 3. Suppose -20 = 3*d - 2. Let t be q(d). Which is the closest to -0.1? (a) n (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*k + 3*k = -0*k + 43, 6*n + 15 + 6 = -7*k for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 3194300.\nAnswer: 1\/798575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**3 + 2*r - 4. Let u = -15 - -39. Let d = -27 + u. What are the prime factors of s(d)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -996 - -1022. Let u = 12640846.5 - 12640872.4999995. Let t = y + u. Round t to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - q. Let i(p) = -9*p**2 + 4*p + 285. Determine -i(r) - 4*s(r).\nAnswer: r**2 - 285","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -158 + 161. Let a(f) = 11*f - 19. What is a(c)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3)\/n**(-2)*(n**(2\/5))**(-13)*(n**(-1)\/n)**(-12\/17)*((n\/(n*n**1*n))\/n)**40 assuming n is positive.\nAnswer: n**(-10607\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, -0.78, 0.5, 4.06, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 29*h - 524. Let s be m(18). Which is the smallest value? (a) -0.1 (b) 11 (c) s (d) 2\/7 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/210)\/(49\/70*1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6805727\/8 + -849414. Let u = z + -1308. What is the common denominator of u and ((-6)\/(-16))\/(24\/(-1360))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/21 - 1 - (-55)\/(-175). What is the nearest to k in -5, -2\/9, 1\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 9*t + 9. Let g be u(8). Which is the closest to -0.1? (a) g (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 4*k - 5. Suppose 0 = -3*g + 3*n + 21, -5*n + 3*n = -3*g + 16. Suppose g*w - 85 = -15. Let j be (-1 - -3)*w\/14. Give i(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5)*-1*6).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*g - 89, -5*x - 2*g - 2*g = 135. Let l = 29 + x. Let i(f) = 9*f**2 - f + 1. What is the remainder when i(1) is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l - 5. Let u(v) be the first derivative of 3*v**2\/2 - 5*v + 3. Let q(x) = 3*f(x) - 2*u(x). Determine q(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/366 and -17\/117645.\nAnswer: 14352690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 8 - 43 = -4*u, 4*a + 3*u - 35 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 4:00 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j + 62. Let g(t) = -2. Let q(r) = -2*g(r) + x(r). Let h be q(-16). Solve 0 = -h*s - 0*s - 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*t + 26 = 0, -2*t + 6*t - 12 = 0. Let u(l) = l**2 + 4*l + 3. What is u(y)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -599*w - 28118. Calculate a(-47).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 11*i**2 + 9*i + 227. Is 32 a factor of s(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97 by 1.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/6)\/(2*4\/(-6))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 77, 0.5, -3287, -2, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*w - 14*w - 6*w)*(0*w + 2*w + 0*w).\nAnswer: -78*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2435 (base 7) in base 14?\nAnswer: 48c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103872287.\nAnswer: 29, 3581803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 1:00 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 123112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5\/3 + -2. Let p = 0.1 + -0.2. Which is bigger: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 3597502.\nAnswer: 25182514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 + l**3 - 2 + 7 + 13*l - 3*l - 15. Let d be y(6). What is d rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 5*d - 45 = 0, 5618*r - 5621*r - d = -1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28270809 to the power of 1\/2, to the nearest integer?\nAnswer: 5317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l - 30. Let r be s(14). Let h = r - -7. Solve 2*g - 5 = 3*g + h*j, 0 = -5*j - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14898*l**2 + 7511*l**2 + 7389*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114276386 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7290855 and 390.\nAnswer: 14581710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3304 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3\/4 - 1027*l**2 + 4104*l = 0. What is l?\nAnswer: 0, 4, 4104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -16*t + 416. Let r(o) = -63*o + 1560. Let d(w) = -4*r(w) + 15*y(w). Let n(p) = -231*p + 1. Calculate n(d(x)).\nAnswer: -2772*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -1.3336.\nAnswer: -4.3336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 147\/15 + 8\/(-10) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2415386 and 382.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**3 - 63750*f**2 - 200108565*f + 19802365920 = 0.\nAnswer: -6423, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. List the prime factors of 60\/4 + b + -3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6686481 rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -17*c**2 - 4*c - 2. Determine d(-4).\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1 + 7\/(-5) + (-5579)\/(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/18 and 3\/93818.\nAnswer: 844362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-6))**(-1\/2) assuming d is positive.\nAnswer: d**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1 - -6) + -241 + 242.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/27)\/(6\/18)*3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 times 0.004\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**3\/6 + i**2\/2 + 246874*i. Suppose -3*x = -8*x + 20. Calculate d(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -866*s = 4*m - 867*s - 64, 38 = 2*m + s for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1442 = -5*u, u + 5*k - 10*k - 274 = 0. Calculate the greatest common factor of u and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, 2\/3, -1\/4, 37?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5e85 + 8?\nAnswer: -5e7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-1640)\/(-330))\/(1\/6)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 - 1)*(w - 1 + 1) - 8*w + w + 14*w)*(3 - 3 - w).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.21 - 6.34. Sort r, 2, -0.2, 0.3.\nAnswer: -0.2, r, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74832748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y - 10. Let w be t(3). Suppose -2*b = -b + 5, w*o + 2*b = -10. Solve 5*n = 2*z - 1, 4 = 4*n - o*n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/6791022 and 31\/12?\nAnswer: 13582044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from bbbbbbbbbbbjbbbbbbj.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -6*f + 11. Suppose 2 = -3*s - 4, -f*w + 5*s = -402. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -12*y**2. Let d(t) = -1676*t. Determine d(z(f)).\nAnswer: 20112*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -22 - (-6 - (4 + 9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**4\/4 - y**3 - 2*y**2 - y + 2228. Let u be (-2)\/8 + (-17)\/(-4). Determine h(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167296699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l**3 - 40*l**3 - 112*l**2 + 70 - 70.\nAnswer: -24*l**3 - 112*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2 + 18*t + 10. Let w(b) = -3*b**2 - 12*b - 7. Calculate -7*w(q) - 5*z(q).\nAnswer: q**2 - 6*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 124118 - -204?\nAnswer: 124323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, w: 5, t: 3, q: 5, p: 1}. Give prob of picking 3 t.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 p when four letters picked without replacement from {p: 6, r: 12}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) 4 (c) 59 (d) -2\/9 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.6 minus 0.36?\nAnswer: -28.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 6:59 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 34643692 to the power of 1\/2, to the nearest integer?\nAnswer: 5886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 2*l**2 + l - 4. Let v be h(3). Suppose 2*a = 2*x - 232, -3*a - x - 292 = v. Let m = 198 + a. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97234333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-34)\/(-24) + (-342)\/456. Let t = 95 - 379\/4. Put d, t, -1\/5, -3 in ascending order.\nAnswer: -3, -1\/5, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 7*i**2 + 9. Let x be (-60)\/9 + (-1)\/3. What is the lowest common multiple of d(x) and 16\/12*45\/6?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 + (3 - 11) - -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1207 or -20532\/17?\nAnswer: -20532\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - -0.3. Suppose -10*m = -m - 36. Suppose 6*x = 4*x + 4*l + 12, 0 = -m*l - 20. What is the nearest to 1 in p, -0.5, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 491552, -18 in decreasing order.\nAnswer: 491552, 5, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 139*i - 72*i + 125*i**3 - 67*i + 5233 + 389*i**3 with respect to i.\nAnswer: 1542*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1207201 is divided by 402349.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - -62) + (-15)\/3 + 3. Suppose 2*v + 7*j = 2*j + l, -v = 3*j - 29. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/966*(-43356)\/(-3613)*(-14)\/(-10)?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3268\/266 - (-9)\/(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 224 times 6062.4\nAnswer: 1357977.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-12) + (-15)\/40?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.527 + 0.403. Let v = -0.07 - j. Let i be 20\/(-6) + (-37 - -40). What is the nearest to v in -0.3, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270.79 rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429*y + 180*y = -43824. What is the remainder when 3870 is divided by y?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1080\/150 - 7)*-30.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbfffbbfbbfbbbb. What is prob of sequence bf?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 772*k + 104357 - 4925 = 784*k. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j*q*u - 10458*j*q + 15*j*u + 912472*q*u wrt j.\nAnswer: -q*u - 10458*q + 15*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 74*v + 646. Determine i(64).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(88) - (sqrt(88) + sqrt(88)*2))*-1*-5)\/((sqrt(8) + sqrt(24)\/(sqrt(6)\/sqrt(2)))*3))**2*-4.\nAnswer: -1100\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/328 and 73\/26158.\nAnswer: 104632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 9:31 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 5*l**2 - 19*l + 11. Calculate g(8).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**2. Let x = -190 - -192. Let s(c) = 336 - 336 + 5*c**x. Calculate p(s(l)).\nAnswer: 175*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.05 - -4. Let t = 0.1 + x. Let y = t + -0.35. What is the closest to 0 in 0.1, -3, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1696)\/112 - -16)*(-9 + 31\/(-2)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 271*h**2 + 100*h + 2407. Is f(-24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 737 - -323. What are the prime factors of k?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18520?\nAnswer: 2, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 0*y - 2\/3*y**3 - 3*y**2 - 1\/6*y**4 - 1\/60*y**5 + 0. Determine n so that r(n) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15022218.46 and 0.2.\nAnswer: 15022218.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35*7*((28\/(-14))\/2)\/(-7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 26*d**3 - 38*d**3 - 64*d - 12*d**3 - 92*d**2 + 24*d**2 - 20 = 0.\nAnswer: -1, -5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*q + 24 = 2*q, -10 = -3*u - 4*q. Let d be 2 + u\/2 + -3. Let i be d\/10 + (-64)\/(-20). Sort -3, i, -2.\nAnswer: -3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4*q + q + 12, 4*q = -5*y + 15. Suppose -60 = -4*m - 2*m. Suppose 4*h = -2*f + m, h + 15 + 0 = y*f. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 232, 861, 1910, 3379, 5268, 7577?\nAnswer: 10306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 46 = 3*w, 3*z - 79 = -w - 21. What are the prime factors of (25\/(-20))\/((-1)\/z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 477719761*g**3 + g**2 - g**2 - 477719758*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t**3 - 11595*t**2 - 33309*t + 4995 = 0. What is t?\nAnswer: -3, 1\/7, 555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/371664 and -1\/4253488?\nAnswer: 38281392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*c + 3*c - 3*q, 2*q - 25 = -5*c. Let j be (c + 2 + -5)\/(3\/6). Which is smaller: j or 44\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 + 31546?\nAnswer: 31522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -217589\/123 + 1769. Let b = 361\/492 - n. Factor -b*r**2 - 1\/4 - 1\/4*r**3 - 3\/4*r.\nAnswer: -(r + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10846 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**4 - 808230*r**3 + 32660978405*r**2 + 65324381520*r + 32662594880 = 0.\nAnswer: -1, 80824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**4\/12 - h**2 - 173. Let q(z) be the third derivative of z**5\/15 - 2*z**2. What is q(v(c))?\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2145\/8 + 268. What is the common denominator of 55\/32 and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/12)\/((-1)\/(117 + -3)). Let j = -114 + z. Let f = j + 36. Is -5\/8 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9122 is divided by 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -14 + 6 + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 505.7 - 509.7. What is the second biggest value in 1, 3, c, -2\/365?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 2 + 0 - (-2 + 1). Suppose -3*u + 2*i = -2 - 1, -o*i + 9 = 0. What is the units digit of (-2)\/u*(-1 + -140)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97 - (37 + 0 + -56 + 31).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 206 + -88. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (39 - 37 - -10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -424*t**3 + 15*t**2 + 34*t + 5. List the prime factors of p(-2).\nAnswer: 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1121 + 1121 - 134*s**2.\nAnswer: -134*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*r**4 + 21*r**6 - 553*r**2 + 558*r**2 + 1 + 39*r**4 wrt r?\nAnswer: 2520*r**3 + 144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 0.3, 0 in descending order.\nAnswer: 0.3, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 246.62 and -12?\nAnswer: -2959.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 726 and 276488630?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3cc0678 - 3?\nAnswer: -3cc067b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7500 and 13500?\nAnswer: 67500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-34)*h\/((h**4\/h*h)\/h) assuming h is positive.\nAnswer: h**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**2 - 6*c**2 + c**2 - 4*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2*2\/(-4). Let f be (126\/130 - 1)*5. Which is the smallest value? (a) -0.2 (b) p (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 - -35. Suppose 5*d + 3*k = 57, 5*d - a*k = 74 - 12. What is the second derivative of -d*w - 4*w - 35*w**2 + 37*w**2 wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 2 - (-1)\/(3\/57). Let n(q) = -11*q - 2. Let k be n(2). Let d = k + 24. Solve 3*c = 5*b + m, d = b + c - 0*c + 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-4)*1 + -23. Let s = 4 + k. Let y be 12\/30 - s\/(-15). Which is the third biggest value? (a) -4\/5 (b) y (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.09 (b) 374 (c) 0.3 (d) 5 (e) -2 (f) -9\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/17, -3, 1\/4, -1.633, 47 in ascending order.\nAnswer: -3, -1.633, -2\/17, 0, 1\/4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 1)\/((-6)\/(-761 + -1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 424784 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10.1 times 1\nAnswer: -10.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206729, -206945, -207161, -207377, -207593, -207809?\nAnswer: -208025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 422\/(-4)*(-5 - 5)\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4660221 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-3*l + 5*l + 0*l)*(4 + 4*l - 4).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 14*x**2 - 31*x - 11. Is h(-5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**5\/450 + h**4\/180 - 2*h**3\/15 - 63*h**2. Find y, given that b(y) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kuu when three letters picked without replacement from {k: 1, u: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -250*d*f*u**3 - 3*d*f*u - 19*d + 5*f*u**3 + 47*f wrt u.\nAnswer: -1500*d*f*u + 30*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1713\/21 - -9*(10933\/(-609) - -18).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -129 in 2\/3, -2, -1\/3, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = p - 836, 10*r - 5*p = 5*r - 1030. Let g = 212 + r. Solve -g*y - 1 + 3 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3 + 2*f - 4.\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -28*g + 21. What are the prime factors of b(-6)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249444 = 23*t - 165706. Suppose 2*l + 12012 = 2*s, -5*l = -2*l + 5*s + t. Round l to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 + 37 = j. Let q(r) = r**2 + 7*r - 148. Let g be q(-20). Let w = j + g. Does 25 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 2\/3, -5.\nAnswer: -5, 0, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r + 5. Let b be k(-15). Let h = b - -62. Solve 5*n = -0*a + 5*a + 30, -5*a + n - h = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4 + 114236*z**3 + 1631347194*z**2 + 3262351688*z + 1631118728 = 0. What is z?\nAnswer: -28558, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/408 and 67\/170?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6) - 26\/(-6). Let x be 1 - j\/(-1) - 3. Suppose 6*z - 2*z - 2*o = 131994, o = x*z - 98997. What is z rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27c - 3?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5 = 5*h, 2*c + 35*h - 6 = 32*h. Is -100\/23 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((56\/8)\/(-7))\/(22\/(-4))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-3120)\/(-180))\/(2*3\/(-9))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1566 + -1552. Solve 5*p + 9 = g*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 217781498 and 1892?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14236, 57766, 130316, 231886?\nAnswer: 362476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -8*u**2 - 6. Let t(v) = 41*v - 374. Let a be t(9). Let l(i) = -11*i**2 + 28*i**2 + 1 - 16*i**2. What is a*l(j) - b(j)?\nAnswer: 3*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (6\/8 - (117\/12 - 13))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -2*n**3\/3 - 2*n**2 + n. Let o(z) = 11*z + 11. Suppose 10*v = -12*v - 176. Determine v*w(d) - 3*o(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 672263679 to the power of 1\/2, to the nearest integer?\nAnswer: 25928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 10*b**4 + 8*b**3 + 598*b**2 + 83. Let v(a) = 8*a**4 + 6*a**3 + 599*a**2 + 83. Let w(u) = -3*j(u) + 4*v(u). Differentiate w(k) with respect to k.\nAnswer: 8*k**3 + 1204*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-936)\/(-1352)*(8\/(-234))\/2\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(84) + sqrt(21))\/(6*2*sqrt(3))*5)**2*5.\nAnswer: 21875\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2657 (base 9) to base 16.\nAnswer: -7cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*j + 29*j - 9*j + 3*j to l + h*j and give h.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 13, 15, 21?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 55 = -3*h. What is the greatest common factor of h and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93.32 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + (-2 - 2))\/3. Suppose k = -4*x + 2*j + 8, 0 = -2*x + 3*x - 5*j + 16. What is the second derivative of 28*l + 19 - x*l**3 - 19 - 9*l**3 wrt l?\nAnswer: -78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + v - 1 = 0, -2*m - 3 = -5*v - 26. Let u(a) = a**2 - 3*a + 11. What is the remainder when 33 is divided by u(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01337 + -0.28663. Is d at most -6\/259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20802, -41602, -62402, -83202, -104002, -124802?\n\"Answer: -20800*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53115 divided by -17705.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2*j - 9*j - 4 - 183*j**2.\nAnswer: -183*j**2 - 11*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -108867 * 1.9\nAnswer: -206847.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**3 + 24*z**2 - 3*z - 8. Let n be r(-12). Suppose -4*k + 352 = 4*f, -4*k + n*f = 30*f - 356. What is the highest common factor of k and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + 4*u - 52 - 7*u.\nAnswer: -u - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 4)*(-48 - 23*o + 48) in the form q + l*o and give l.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 60 = -13*f. Let a be (-2 - (-2)\/3)\/(2\/f). Suppose u = -o + 61, 3*o = a*o. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111 (base 3) to base 8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*q - 4*l - 22, -q + 344329*l - 344330*l - 4 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**2 - 2*w + 2. Let l(z) = -3*z**2 - 10*z + 5. Let g(i) = -2*i**2 - 2*i + 1. Let s(y) = -4*g(y) + l(y). Determine 3*f(v) - 2*s(v).\nAnswer: 2*v**2 - 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*c + 54. What is the common denominator of 7 and (-3)\/(2*(-42)\/c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -425907, -425883, -425847, -425793, -425715, -425607, -425463?\n\"Answer: t**3 + 17*t - 425925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -21, -1.3 in decreasing order.\nAnswer: 3, -1.3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2 + sqrt(7))*-6.\nAnswer: -6*sqrt(7) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(18*b**4 + 36*b**5 - 24*b**5 - 19*b**5).\nAnswer: 14*b**5 - 36*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d**3 + 4*d**2 + 11*d + 2. Let c(a) = -3*a**3 - 2*a**2 - 5*a - 1. Let t(q) = -9*c(q) - 4*v(q). Let g be 1*3*(-1)\/(-1). Give t(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 774243 is divided by 154838?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 706, 1414, 2122?\nAnswer: 2830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 272462321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4919, -4922, -4929, -4940, -4955?\n\"Answer: -2*i**2 + 3*i - 4920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 18 = 39*o - 43*o, 4*o - 4*c = 28. Suppose -2*q = -0*q - 50. Solve o*b = 7*b - q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaeaaaaaaaeaaa. Give prob of picking 2 a and 1 e.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.044 + -1.554. What is the second smallest value in -5, g, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1152 + -1152.0000443. Round k to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**4 - 3*s**4 + s**4)*(-8 + 0 + 10)*(6*s + 7*s - 3*s).\nAnswer: -40*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u - 530 = 8509. What is u rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y - w + 1 = -22*y, -y = 5*w - 5. Let s = 0 - -4. Solve s = -h - y*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.538 - -1.2815. Let x = 6.82 - t. What is x rounded to five dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5 + ((sqrt(153) + (sqrt(153) - sqrt(153)*-1) + 2 + sqrt(153) - sqrt(153)) + -3 - ((-4 + (sqrt(153)*-2 - sqrt(153)) - sqrt(153)) + 1)))**2.\nAnswer: 294*sqrt(17) + 7549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 1:51 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f + 67. Let x(h) = -113. Let r(p) = -4*p - 2712. Let c(o) = r(o) - 24*x(o). Determine c(k(y)).\nAnswer: 16*y - 268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, a: 11, f: 1, k: 2, h: 2, x: 1}. What is prob of sequence ah?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 2\/29, 1, 3\/7?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3705712 greater than 25939994\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 221225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}