diff --git "a/data/dm_maths/full_data_1/204_11255.jsonl" "b/data/dm_maths/full_data_1/204_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/204_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the highest common divisor of 12 and 363684.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from xaxayyyy?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 605, 1212, 1819, 2426, 3033?\nAnswer: 3640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 565 and 270.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -48 - 4?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9216 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/7)*a**15*(((a*(a**(-5)*a)\/a)\/a)\/a)**13)**26 assuming a is positive.\nAnswer: a**(-11336\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 796761.99 minutes to days.\nAnswer: 553.3069375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from {z: 2, j: 1, d: 10, b: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k**2 + 7*k + 10. Let m be o(-8). Let l be (m + -4)\/(1 + -3). Suppose l = 6*i - 257. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013149779 rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, r: 6, q: 6}. What is prob of picking 1 r and 1 g?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80995 and 7760.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-6*2*sqrt(1575) - (1 + sqrt(1575) - sqrt(1575))*-4)*-3)**2.\nAnswer: -12960*sqrt(7) + 2041344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**2 + 0*w**2 + w**2 + (-2*w + 6*w - 3*w)*(0*w - 3*w + w) - 3*w**2 - 2*w**2 + 4*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.04 and 119.8?\nAnswer: 119.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = 5*v - 122. Let u = v - -10. Let j = 93 - u. What is the remainder when 76 is divided by j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p = -5*d + 20*p + 11, 3*p + 9 = 0. Sort 20, -1, 2\/7, d in ascending order.\nAnswer: -1, 2\/7, d, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 1. Let n(p) = p - 11. Let h be n(8). What is the remainder when 29 is divided by c(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2706 divided by -130?\nAnswer: 1353\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103957940, 103957935, 103957928, 103957919, 103957908, 103957895, 103957880?\nAnswer: 103957863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekkc when four letters picked without replacement from pkvpppkepkpecepec?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 253 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1\/y*y)**(-5)\/((y**(-1)*y)\/y**5))\/(y**(2\/3)*y*y**(-4)*(y\/(y\/(y\/y**(-6)*y)))\/(y\/(y*y\/y**(-1\/5)))) assuming y is positive.\nAnswer: y**(-103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1644442254 + 6571191331891\/3996. Let t = -17124860\/999 - -17142. Let g = w - t. What is the common denominator of g and -11\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 283.8 + 244.8. Round i to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -9. Put 5, -0.07, t in descending order.\nAnswer: 5, -0.07, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/90 and 20\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-1))\/(-30) - 2059\/(-145)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-33))\/(9\/99)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 12110 + 74438. Is u\/35 + (-2)\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -32030 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*((sqrt(1100) + 2)**2 - sqrt(1100)).\nAnswer: 60*sqrt(11) + 2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from awwkwpppkwpwk. Give prob of sequence kapp.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 31*i + 1342. Calculate the remainder when 195 is divided by u(-42).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185591892 and 1048?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -40\/3*y**3 + 0*y + 0 + 133*y**2 + 1\/15*y**5 + 1\/6*y**4. Determine b so that s(b) = 0.\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 452 divided by -226\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61607 and 3238768.\nAnswer: 22671376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -21?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 + 43.1. Which is the nearest to 9? (a) u (b) 0.06 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 6*q + 25*q)*(4 - 2*q - 4) - 3*q**2 - q + q + (-q**2 - 11*q**2 - 3*q**2)*(-1 - 1 + 1).\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 389*t**2 - 331*t**2 - 5*t**3 + t**3 - t**4 to s*t + w + l*t**2 + f*t**4 + a*t**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 449 + -488. Let b = 1290 - m. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -21*s - 37. What are the prime factors of q(-13)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 7, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 149540, 299078, 448604, 598112, 747596?\n\"Answer: -f**3 + 149545*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 2\/7, -3, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.309 and 1495.\nAnswer: -1956.955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -121*d**2 + 4*d - 4. Let g(u) = -243*u**2 + 9*u - 9. What is -4*g(i) + 9*l(i)?\nAnswer: -117*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 4*b - 4*b + (1 - 1 + 2)*(1 - 2*b - 1) + (-15 + 5 + 11)*(3 + 5 - 5)*(b + b - 4*b).\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 40 = 0, 43*x + 5*k = 41*x + 50 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-21))\/(-5 + 8)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 47*g + 368. What is f(-40)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1215761\/98 - 12406. What is the common denominator of -27\/28 and k?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5370, 5377, 5384, 5391?\n\"Answer: 7*z + 5363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/43*(4\/6)\/1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 15*w - 138. Let q be g(8). Let a = 16 + -43. List the prime factors of (-3162)\/a + 2\/q.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36594 divided by 19?\nAnswer: 1926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, 0, 14, 3, -2.\nAnswer: -2, 0, 3, 14, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 = -8. Let f(a) = a**3 + 5*a**2 + a - 5. Let v be f(d). Let u = 93 + v. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 27 = 11*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -8*o - 28. Let v(c) = 17*c - 15. Let p(y) = 3*y - 2. Let l(b) = -6*p(b) + v(b). Let q(m) = -m + 7. Let a be q(4). Calculate a*w(r) - 28*l(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 11. Let v(w) = -3*w**3 + 7*w**2 - 7*w - 7. Let f(j) = -2*j**3 + 6*j**2 - 6*j - 6. What is m*v(q) + 7*f(q)?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22331243 - -12?\nAnswer: 22331255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -14, -83, -41, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24342908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -55, -77, -97, -115, -131?\n\"Answer: x**2 - 25*x - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -53661 + 53661 - 16*x**2 - 7*x**3 + 13*x**2. Let f(u) = 7*u**3 + 3*u**2 + 1. What is -2*f(z) - 3*k(z)?\nAnswer: 7*z**3 + 3*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -10, -5*n + 18 = 4*g - 0*g. What is the hundreds digit of (-1695)\/20*(-8)\/n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 8298?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 3010 (c) -1\/7 (d) -0.13 (e) -2\/17 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9*d**2 - 7*d + 5. Calculate v(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 768450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1000*a**4 - 1196*a**2 - 1644*a**3 + 1644*a**3 wrt a?\nAnswer: -24000*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 149551?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 745 or 741?\nAnswer: 741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 10:47 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 24 = 4*f, u - 4 = -4*f + 29. Let c = 11 - f. What is the third derivative of 6*l**2 + 7*l**3 + 0*l**3 + l**3 + c*l**2 wrt l?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4585026?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**5\/60 - i**4\/4 + 4*i**3\/3 + 3*i**2. What is m(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 5) + -17 + 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**5\/60 - 4*s**2. Let y = -2 + 7. Let p(l) = 2*l**2 + y*l**2 - 5*l**2. Give p(g(m)).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/150 and -77\/656140.\nAnswer: 9842100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 130\/200 - (0 - (-4)\/10). Let g(u) be the third derivative of 1\/20*u**5 + 0*u**3 + 3*u**2 + 0*u + x*u**4 + 0. Factor g(t).\nAnswer: 3*t*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 2104.\nAnswer: 4208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 1586.\nAnswer: 22204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 2*u + 6*u)*(-19 + 19 - 5*u) as x*u + b + h*u**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9985566 millennia to years.\nAnswer: 998.5566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3.9, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -8*n**2 - 662*n + 520. Determine d(-87).\nAnswer: -2438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 12*n**2 + 4*n - 10. Suppose 14*s + 66 + 18 = 0. Is j(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 152 - 564. Suppose 0 = -5*n + 5*w - 0 + 20, -2*n - 7 = 3*w. What is the common denominator of 37\/6 and k\/(-4)*-2*n\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 9. Is -1 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(48)) + 3 - (sqrt(3) + (sqrt(3) - (-3 + sqrt(48))))) + 2.\nAnswer: -sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8029 + 4456. Does 36 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -49, 0.5, 1\/8?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 26. Let o = 1 + f. Which is greater: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16242.\nAnswer: 2, 3, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 315, -0.5, 2\/156461.\nAnswer: -2, -0.5, 2\/156461, 315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 2*z + 3, -z = 2*n - 1245 + 1244 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**5 - 4*n**4 + 352850*n**3 + n**2 - 415*n - 333 wrt n.\nAnswer: 60*n**2 - 96*n + 2117100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5281870 is divided by 352124.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b**2 - 33*b - 5. What are the prime factors of t(12)?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 4*o - 15, -5*t = -5*o - 30 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.92 - 1.4. Let u = x - 0.5200008. What is u rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-63)\/(-4) + (-2)\/(-8) is divided by 6\/(-7)*(6 + -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9466 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(88)*1*2)\/(-4*sqrt(1331)*1).\nAnswer: -2*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 32215750 (base 8) to base 9\nAnswer: 13858124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-42)*6\/4*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -6 (c) 174\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -101 (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*a - 23, -8 = -2*z + 3*a + 5. Let r(j) = -4*j + 2*j**2 - 1 - j**z + 0*j. Let t(i) = -i**3 - 12*i**2 + 14*i + 15. Let f be t(-13). Give r(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.176544ng to kilograms.\nAnswer: 0.000000000005176544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((65\/(-52)*12)\/4)\/((-10)\/16)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 888 - 2120 = 0. Does 47 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 8*h + 5. Let f be t(-6). Let c = f - -13. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -439, -391, -379, -397, -439, -499?\n\"Answer: d**3 - 24*d**2 + 113*d - 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3756 from 387324982.\nAnswer: 387328738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91.9 + 92. Let l = 2 - 20. Let i = l + 14. What is the nearest to c in i, 0.1, 4\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -27*a - 207 = -3*n, -5774388*a - 34 = -2*n - 5774383*a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38d - 1?\nAnswer: -38e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.5*-40.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10865*d = 10868*d - 2*o - 49, -37 = -3*d + 5*o for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) - (sqrt(125) + -2))**2 + 2)*1 + (sqrt(10)\/sqrt(2) + 1 - sqrt(405)*1).\nAnswer: -8*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 312*f + 1 + 953*f.\nAnswer: 641*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/3*2*54\/(-108). Sort -16, -5, q in decreasing order.\nAnswer: q, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1\/7)*z*z)\/z)\/z)**(-20\/11)*(z**(-1\/5)\/z*z*z*z)**(-2\/43) assuming z is positive.\nAnswer: z**(2914\/16555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 110263 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13 - (-5)\/((-15)\/12). Let v(z) = -z**2 + 14*z - 1. List the prime factors of v(r).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*s = 30, 2*g + 0*g + 4*s - 40 = 0. What is the common denominator of ((-2)\/(-28))\/(12\/(-994)) and g\/(-45) - (-497)\/1764?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 2*u + 48. Let h be s(8). Suppose h = -16*y - 9*y + 148000000. Round y to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**4\/12 + 325*k**3\/3 - 652*k**2 - 12*k + 194. Factor x(q).\nAnswer: (q - 2)*(q + 652)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 194 - 194.174. Round p to 2 dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24b8560 (base 13) to base 6\nAnswer: -1045512340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5961 - -6110. What is the remainder when 331 is divided by g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8))\/((-570)\/(-8892)*(108\/(-40))\/(-9))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -271*s**4\/24 - 29*s**3\/3 - 5*s**2 - 6*s. What is the hundreds digit of u(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 16*x**2. Let r(b) = -b**3 - 7*b**2 - 5*b - 11. Let u be r(-6). Let z = u - -20. Let i(d) = -2*d - z*d + 7*d. Calculate i(f(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -623*y**4 + 3593 - 3598 - y**3 - 50*y + 212*y wrt y.\nAnswer: -7476*y**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 59 = -109. Let b = a - -38. Suppose b = 3*j - 5. Solve j*v = -0*v + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**4 + 77*s**3 - 93*s**2 - 323*s - 320. Let l(x) = -2*x**4 - 36*x**3 + 46*x**2 + 162*x + 160. Let a(p) = -6*i(p) - 13*l(p). Factor a(n).\nAnswer: 2*(n - 5)*(n + 2)**2*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/1344*-7)\/(15\/9)*-304.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 - 4)*(2*y**2 - 2*y**2 - y**2) + 40*y - 11*y**2 - 40*y + 7*y**2 - 2*y**2 - y**2 + 0*y**2 - y**2 - 2*y**2 to j*y**2 + z*y + q and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/924224 and 23\/338332?\nAnswer: 37893184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 15, -4 in increasing order.\nAnswer: -15, -4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 1121332?\nAnswer: -1121333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 - -96. Let w = 42 - a. Suppose 3*k - w = k. What is the highest common factor of 6 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 9*g**3 - 3573*g**2 - 191*g + 75833. What is w(397)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-15 + 30 - (-5 + 5)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ac + -77?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15327799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -8 + 3. Let j = 0.127 + 6.873. Which is the nearest to j? (a) 0 (b) -0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 790 and 1550?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-18)\/6 + 6). Let l(h) = h**2 - 9*h - 16. Let a be l(11). Let i be (-12)\/a + (0 - 0). What is the second biggest value in 3, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -962 + 2?\nAnswer: -960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 782287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8505 and 192.\nAnswer: 544320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 8 = 38. Suppose -o + 19 = 4*w, 2*w - 2*o - 14 = -12. Solve -8 = -5*h + 3*u + y, h - w*u - 13 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - ((1 - 0) + 0). Let w be (-2279)\/9 - (-18)\/81. Let t be a\/(-5) + w\/(-5). Round t to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 14*t - 19. Let b be l(12). Suppose b*u - 718 = 47. Suppose -608 = -k + u. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - -0.7. Let j = 334.5 + -334.4. What is the closest to j in -0.06, -1\/2, a?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -440720735 and -3.598509?\nAnswer: 440720731.401491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.58 - -83607.\nAnswer: 83606.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78080557 - 23*d**2 - 5*d**2 + 78080557.\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 14*m**2 - 13*m + 3. Let p be y(-13). Suppose -5*l - 3*z - 275 = -4*z, -3*l - p*z = 147. Let b be (-2)\/9*l\/(-612). Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -0*c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65)\/(-10)*(-80)\/(-520)*16\/1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 13. Let j(f) = -2*f - 9. Let m be j(-9). Let g be n(m). Suppose g*p - 3*p = 13. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1736489 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blbi. What is prob of picking 1 l and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1026 and 1080?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.98 - 2. Let i = t + 0.32. Is i bigger than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, d: 1, r: 1, l: 6, f: 2}. What is prob of sequence ldly?\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 2128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3821480157?\nAnswer: 3, 11, 139, 457, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggssggg. What is prob of sequence gsg?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -38867*-0.614\nAnswer: 23864.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1212 + 3?\nAnswer: -1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -249.34485 - -61.5\nAnswer: -187.84485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4}. Give prob of picking 4 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 3*i. Let m(k) = 4*k**2 + k. Let u be m(-1). Let f be b(u). Solve -5*g = -5, t + f*t + 3*g = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -221 - 3*u + u + 97 + 590*u**2 + 125 to the form y + h*u**2 + z*u and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2 = -2*h, -4*k = h - 6 + 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 1726062932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**3 + 2 + g**2 - 3 + 1 in the form l*g**3 + h*g**2 + j*g + z and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 9409*o - 30 + 18 - 157*o + (0*o + 0*o + 2*o)*(-3 + 0 + 1) in the form k*o + l and give k.\nAnswer: -9570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20091 - -20091. Solve z = 157*r - 146*r - 77 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(-46)*(-2)\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1276433 to the nearest 10000.\nAnswer: 1280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.231 + -0.106758284926.\nAnswer: -0.337758284926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -2. Let c(l) = l**3 + 3*l**2 - 2*l - 1. Let p be c(3). Let n = p - k. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -24*l - 30. Let s(m) = m**2 - 2*m. Let i(n) = -r(n) + s(n). Calculate i(-21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 54.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l = -14*l + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*j + j + 16, -4*f - 5*j = -64. Let n = 22 - f. Solve n = 2*b - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2380 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**2 - 3*a + 1. Let g(j) = 7*j**2 - 5*j + 3. Suppose -2 = p + 1. What is p*g(f) + 5*k(f)?\nAnswer: -f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11c (base 14) in base 9?\nAnswer: -266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*j**2 - 8 - 8*j**3 - 12 + 5*j**2 wrt j?\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*g + 6, -2*g = r + r - 8. Solve r*q + 3 = -3*a - 0*q, 4*a = q - 19 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28039.69 to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -17.9+21446783\nAnswer: 21446765.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 57\/(-9) + 1\/3. Let b be 2\/f + (-22)\/(-3). Let a = 20 - b. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 496646357 to the nearest integer?\nAnswer: 22286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b + 10 = -y, 2*y - 13 = b. Factor 0*l**2 - l**3 + 6*l - l**2 + 1 - y*l.\nAnswer: -(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 8*j - 9 + 0 + 342*j**2 + 2 - 340*j**2. Determine g(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**3 + 25*m**4 + 10*m**2 - 11*m**4 + m**3 wrt m.\nAnswer: 336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (2 - 0) - -9. Suppose 5*h = a, 0 = 5*x - 5*h - 21 - 4. Suppose 4*s - 3*l + x = -0*l, -3*l = -5*s - 5. Solve -s = -3*j + 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618474271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99125 is divided by 19821?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7759*n + 11593*n + 4 - 3.\nAnswer: 19352*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3034.0266 rounded to zero dps?\nAnswer: -3034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 10:20 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 - 0.1. Let y = 0.062 + -1.062. Let s = t - y. Sort 5\/2, s, 0.04 in descending order.\nAnswer: 5\/2, s, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqrrlqqqeeqlls. Give prob of sequence sqe.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 14*s = 133, 0 = -3*t + 1482*s - 1477*s - 71. Let g(q) = q**2 + q + 3. Let m be g(0). Suppose m*j - 3 = -18. Are t and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6833410 rounded to the nearest 10000?\nAnswer: 6830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/59 - -63\/118. Let j = -0.2618 - -0.2618. Which is the second biggest value? (a) -1 (b) -2\/15 (c) j (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*(f**(-1)\/f)\/f*f)\/f*f\/(f\/(f\/(f\/(f**(2\/23)*f)*f*f))))\/(f**(-3)\/f**(-3)))**(1\/15) assuming f is positive.\nAnswer: f**(-44\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 35 = -0*x - 5*x, x + 9 = -3*m. Let r be (-5)\/(-10)*m\/6. Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300657988?\nAnswer: 2, 17, 1019, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -12. What is the first derivative of s + 113*h + 2*h**4 - 113*h wrt h?\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55 and -1889.\nAnswer: -103895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.4, 532, -1, 0, 1\/3, -4.8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z - 3. Let r be y(-3). Let f = -8 + r. Suppose -4*b - 4*s = -16, b = 4*s + 8 + 1. Sort f, -3, b in ascending order.\nAnswer: -3, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32985*a**3 + 33199*a**3 - 65916*a**3.\nAnswer: 268*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 24*v**3 - 18*v**2 + v + 5. Let u(o) = 49*o**3 - 33*o**2 + 2*o + 9. Let r(x) = 11*a(x) - 6*u(x). Let t(w) = -w**3 - w + 1. Give r(h) - t(h).\nAnswer: -29*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + sqrt(231)\/(3*sqrt(7)))\/((sqrt(3) - (sqrt(3) + sqrt(6)\/sqrt(2)))*3))**2.\nAnswer: 176\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*q - 603*q + 94192 = 0 for q.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/3 and -1*(-37)\/(-102) + (-2)\/4.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95\/(-2)*(-16)\/8?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*i = -103*i + 7000. What is the common denominator of i and -64\/115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16567986 to the power of 1\/3, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 3\/4018852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -28 - 88. Does 10 divide l\/2 - (-6)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -5*g + 3*z, -2*g = 2*g + z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 7*l**2 - 15*l + 12. Let i be y(-9). Put -3, i, -1, 2 in decreasing order.\nAnswer: 2, -1, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 57 + 107 = 4*g, -2*g - 2*m + 78 = 0. Let t be (3 + (-4 - 2))*(2 - g). Suppose t = 4*n - 3*n. Calculate the remainder when n is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 279 = -3*p. Let i(j) = j**3 - 11*j**2 + 11*j - 8. Let x be i(9). Let y = p - x. List the prime factors of y.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6826734?\nAnswer: 2, 3, 126421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*t + 164*t + 117 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snw when three letters picked without replacement from {x: 1, w: 2, e: 1, s: 2, b: 2, n: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -13*p - 53. Let h(d) = 37*d + 150. Let z(b) = -6*h(b) - 17*y(b). Let m(x) = 5*x**2 + 7*x - 5. Determine m(s) + 5*z(s).\nAnswer: 5*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from {l: 3, p: 6, h: 1, r: 2, i: 1, e: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 7*u + 22 = 0. Let w(c) = -c - 9. Let g be w(u). Solve -3*m = -g*m - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 + 2*y + 5. Suppose m + 5*a + 26 = 0, -5*m + a - 2*a = 34. Let h be (-16)\/m*(-36)\/(-24). What is the units digit of d(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6743 - -13143. List the prime factors of w.\nAnswer: 2, 61, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/105 and -127\/10110?\nAnswer: 70770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/70 of a week?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pfpt when four letters picked without replacement from {q: 3, f: 2, t: 2, p: 8}?\nAnswer: 4\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 929*z + 9 - 12489*z - 9.\nAnswer: -11560*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -541*l - 1263. Determine s(-3).\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 6*a**2 - 4*a**2 + 6*a**2. Let t(b) be the second derivative of 0*b**2 + 0*b**3 - 1\/3*b**4 + 0 - 2*b. What is t(m(p))?\nAnswer: -324*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 0.11, -3\/2, -2?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/115180 and -123\/19900.\nAnswer: 114604100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 9:35 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1092 or 1?\nAnswer: 1092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*v**3 - 410*v**3 + 208*v**3.\nAnswer: 64*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210525450 (base 6) to base 5.\nAnswer: 1420310034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3468 is divided by 433.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5154 + 5181. Which is smaller: 7 or q?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 8:51 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwc when three letters picked without replacement from wwwcwwcwww.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 12*j + 0.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i. Let f(b) = 4091*b**2. Calculate f(n(z)).\nAnswer: 36819*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/29140 and 41\/5.\nAnswer: 29140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21673603?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.2, -5.14, -1\/8 in increasing order.\nAnswer: -5.14, -1\/8, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3*n + t + 10, 5*n + t - 20 = 0. Let k = -5 + n. Suppose 3*w = -k + 24. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2129410 divided by -29170?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15816)\/(-6)*7\/(-28). Let j = 689 + q. Solve -14*y - 26 = j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 0*i**3 + 2*i**2 + 0*i + 1\/12*i**4 + 0. Let n(t) be the third derivative of 5*t**4\/24 + 89*t**2 + t. Determine v(n(k)).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3746930969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*n + 27 = 0, 2516*m - 30 = 2515*m - 5*n. Let k(f) = -f**2 + 14. Let y be k(0). Solve -9*p - m = -y*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 359 = -x + 43, 4*c = -5*x + 2001. What is the remainder when x is divided by 97?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 100.797 - -0.203. Let a = -100.9999739 + x. Round a to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 843408 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -101004?\nAnswer: -101002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9484 + -9480. What is the biggest value in p, 1\/12, 1, 2114?\nAnswer: 2114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 5:17 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z**3 + 369*z**2 - 497*z - 596. Give w(-54).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-70))\/(17\/1224) + 5\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59 + 22*g - 59)*(-5*g + 26*g**3 + 5*g) - 7*g**2 + 3*g**4 + 7*g**2 to i*g**3 + p*g + b*g**2 + x*g**4 + c and give x.\nAnswer: 575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48842.\nAnswer: 2, 24421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -232 - -256. What is the common denominator of (48\/64)\/((-33)\/s + -2) and 32\/33?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + sqrt(40)\/(sqrt(64)\/sqrt(8)*6 + sqrt(8)) + (-4*sqrt(405) + 1)**2).\nAnswer: -19452 + 1509*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 910117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*w**3\/4 - 6818*w**2 - 1377539*w\/4 - 10201\/2 = 0.\nAnswer: -101, -2\/135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 10:02 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*3 - 432\/(-1728).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 461 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + d - d**5 + (-4 + 2 - 3)*(5*d**5 - d**5 - 2*d**5) + d**5 + 193 + 1218187*d**2 - 1218189*d**2 + 3*d + d**5.\nAnswer: -9*d**5 - 2*d**2 + 3*d + 193","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 19 = 15*p. Let s(g) = -19*g + 4*g - g**3 + 4*g + 12*g + p - g**2 + 0*g**2. Determine s(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 997251.9 months to decades.\nAnswer: 8310.4325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8691364 to four decimal places.\nAnswer: 0.8691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18290.46 decades?\nAnswer: 2194855.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 - 2*r**3 - 4*r**2)*(62*r - 730*r + 4 + 27*r).\nAnswer: 1282*r**4 - 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**2\/5 - 6809*y + 408396\/5 = 0.\nAnswer: 12, 34033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 4805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -35716*z - 178626. Calculate y(-5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 9:33 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**5 - 2*p**5 + 4*p**5)*(1 + 4 - 3) + 8*p**2 + 9*p**5 - 8*p**2.\nAnswer: 13*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 smaller than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-18)\/12 - 3)\/(-1 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 21887*63\nAnswer: 1378881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from {c: 5, a: 6, d: 3, l: 2, u: 1, s: 2}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 + 3*f**2 + 2*f**2)*(-5*f + 0*f + 4*f) - 1 + 1 - 2*f**3 + f**3 - 2*f**2 + 3*f**2 + 4 - 2*f**2.\nAnswer: -9*f**3 - f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -5\/6 (b) 25 (c) 0.563 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -5*g + 3*h - 6, -855*h = 3*g - 852*h + 35 - 11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -l - 26. Let o = 29 + l. Suppose 4 = n + 1. Solve -4*d = 12, 3*y - o = -y - n*d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35.2 - -3.2. Let b = -31.999993 - t. Round b to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129907357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281 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: Let r(h) = h**3 + 9*h**2 - 15*h - 28. Let x be r(-10). What is the greatest common factor of x and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*sqrt(180)*-3)**2 - ((sqrt(375)*1)\/(sqrt(12)*-2))**2.\nAnswer: 25843\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1229.\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbmemmmbeeebm. Give prob of picking 2 e.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -346, -523?\nAnswer: -700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 - 22628476.\nAnswer: -22628476.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 94.55998 kilograms?\nAnswer: 94559.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -45?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 371\/318*(-5 + 2)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14985 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 756 and 168.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46955?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-168)\/(-378))\/((5\/(-18))\/(16\/(-32)))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 47150 = -4*w, 5*w - 75001 = -2*s - 27851. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8\/3061 + 6082\/15305. Which is the closest to 300? (a) p (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 4*g**3\/3 - g**2\/2 - 8*g + 409. Let s(b) = -3*b**2 + b + 7. Give 6*l(p) + 7*s(p).\nAnswer: 3*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 - (-29 - -28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 890479483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*i + 236, 2*i - 170 + 52 = -3*n. Suppose 32475 = -5*p - 5*m, 4*p + i = -3*m - 25923. Let a = p + -25503. Round a to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4\/5 (b) 0 (c) 2\/5 (d) 0.42 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 7:36 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 3, 3\/2, -0.2, 0 in ascending order.\nAnswer: -0.2, 0, 4\/9, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffu when three letters picked without replacement from {u: 1, f: 2, g: 1, x: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26774, 26770, 26766?\nAnswer: 26762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15031 (base 11) in base 8?\nAnswer: 51522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/4 - -3) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -23 times 6\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t**3 + 2*t - 1. What is the lowest common multiple of a(1) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*b - 10. Solve 5*d = -25, -4*v = -0*v + b*d + 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365 = 7739*q - 456236 for q.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 - 49. Solve -4*v = -4*w + 4, f*v = -5*w + w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -110.6, 1\/11, -1\/25970?\nAnswer: -110.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18913525 to the power of 1\/3, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*r**4 - 5*r**4 - 8 - 4*r**4 - 18*r + 13*r**4 + 1584*r**5 wrt r.\nAnswer: 31680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7523 - 3384. What is the thousands digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2951 to two dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 4*r + 35 = 57, 5*r - 15 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -78, -616, -2050, -4818, -9358, -16108?\n\"Answer: -73*h**3 - 10*h**2 + 3*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 168\/(-252) - (40\/3)\/1. Let z be (-12)\/n - 19\/(-133). Suppose 3*w - 2*j - 7 = 0, -5*w - 2*j + 10 = -7. Is w at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*g - 1)*(-3*g**2 + 4*g**2 + g**2) + (-g + g + 2*g)*(13*g**2 - 9*g**2 + 10*g**2).\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - f + 19, -2*t = 181*f - 180*f - 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a - 76 = -336. Suppose 5*v - 3*o - 33 - 17 = 0, 2*v - 3*o - a = 0. Calculate the least common multiple of v and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363) + -1 + -4.\nAnswer: -5 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -364\/597 + -324472\/1791. Let f = l + 182. Let y be ((-105)\/(-14))\/(-5)*8\/(-30). Which is the closest to y? (a) -1\/3 (b) -0.017 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -175*i**2 + 2588*i - 2588*i as d*i + p + f*i**2 and give f.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -251.77 - -251.742639. Let n = -0.011622 + r. Let p = 0.039 + n. What is p rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*a + 29 = 0, 5*q - 3*q + 2*a - 14 = 0. Let n(t) = -q*t**3 + 2*t**3 - 3*t + 3 - 2 + 5*t**2. What is the remainder when n(3) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 13. Suppose -7*z + 6 = -8. What is the lowest common multiple of u and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -956391 + 956480.0202. Let o = -6 - 83. Let p = l + o. What is p rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 + -0.1. Let v = -6.8 + 7.1. Which is the biggest value? (a) -0.1 (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 9:09 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 11*u - 60. Let m be ((-18)\/u)\/((-6)\/568). Is 4 a factor of (-6)\/4 + (-1)\/((-8)\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 130, -7\/2, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - -21 - 37) + -54?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*u**2 + 0*u**3 - 41604*u**6 + 39498*u**6 + 209 + 0*u**3 wrt u.\nAnswer: -252720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 3:36 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -111580*d**3*v**4 + 23*d**3*v - 590640*d*v**2 + 13*v**5 wrt v?\nAnswer: -2677920*d**3*v + 780*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 4*x**2 - 6*x + 1. Let a be p(5). Let v = 8 + -14. Let n = v - -10. Sort a, n, -3 in ascending order.\nAnswer: a, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1)*(-185 + 34*h**2 + 185).\nAnswer: -68*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.27 + 0.93. Let s = -32 - -38.2. Let o = s - j. Which is the nearest to -2\/5? (a) o (b) 0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*n**5 - 3*n**4 + 10*n**2 - 255*n - 12 wrt n.\nAnswer: -960*n**3 - 36*n**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 179 - 109. Calculate the remainder when l is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5646 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*a - 785 = 0, 2*l - 1382 - 253 = 5*a. List the prime factors of l.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (15\/(-2))\/((-6)\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -54?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75 - -41) + (-2 - -50)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 5553240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -33, -72, -131, -216?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*n = -101 + 4931. Calculate the highest common divisor of 1505 and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*-1*(sqrt(425) + 1))**2*1*2.\nAnswer: 120*sqrt(17) + 5112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -92.2 and -0.1?\nAnswer: 9.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 41, 159, 387, 761, 1317, 2091, 3119?\nAnswer: 4437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000683261 to 7 dps.\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(-35) + 148\/10. Let k = 13 - t. Which is the smallest value? (a) -6 (b) k (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -811\/2 + 2026\/5. Let j be 2\/2 + -4 - -1. Let k be 0 - 1 - 24\/(-42). What is the closest to j in a, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 234 and 28\/14*(11 + -3)?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -244173*l**5 - 25*l**3 + 1928*l**2 - 243*l + 1 wrt l?\nAnswer: -14650380*l**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11002*v + 11063*v - 2379 = 0 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**3\/3 + 17*t**2\/2 + 31*t - 9. List the prime factors of a(13).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18\/721 - 5959\/12978. Let c = -8632278\/77 - -112107. Calculate the common denominator of v and c.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 13 - 49 = -w, -2*w = t - 12. Suppose 7*s - 6*s + t = 0. Let m be (2\/6)\/((-1)\/s). Calculate the highest common divisor of m and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 + 166.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*o + 6 = 0, -c - 6 = c + 3*o. What is the remainder when 13 is divided by (-16)\/(-3) + 1\/c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134544.\nAnswer: 2, 3, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*w + 106*w - 270 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33438.11m in micrometers?\nAnswer: 33438110000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 236 + -38. Suppose 3*m - 3*o = h, 4*m = 2*o - 7*o + 228. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21 + 360\/(-15) + (-93)\/(-21) + -1. Determine c, given that 2\/7*c - 1\/7*c**2 + r = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - 4*b**2 + 2*b**2 + (-b + 0*b - b)*(2*b - 2*b + 2*b))*(9 + 2*b**3 + 153 - 71*b**2 - 171).\nAnswer: -4*b**5 + 142*b**4 + 18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -17 + 0*n + 7*n + 19 + 0*n - n**2. Let u be h(6). Let p = -24 - -48. What is the highest common factor of p and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 48? (a) -189.5 (b) -6 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -143 times -70\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 110, 223, 336, 449?\n\"Answer: 113*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -254269844, -254269841, -254269838, -254269835, -254269832?\nAnswer: -254269829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16342, -15792, -15224, -14632, -14010?\n\"Answer: y**3 + 3*y**2 + 534*y - 16880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 250\/(-75)*(-12)\/8. Solve 31*n - 26*n - 45 = 4*z, 0 = -n + r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*f*l**2*p**2 + 43*f*l*p + 30*f + 5*l**2*p**2 - 28*l*p**2 + 14*l + p**2 wrt f?\nAnswer: 14*l**2*p**2 + 43*l*p + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a3a9 (base 13) in base 10?\nAnswer: -222543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -18, -0.2, 5, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1042357, 2084726, 3127095, 4169464, 5211833?\nAnswer: 6254202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/7 - (-2)\/21*93. Solve x = -3*w - 3*g, 4*w + 5*g = -2 - 9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**3 - 5*t**3 - t**3)*(1 - 1 - 4*t**2).\nAnswer: 8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 12*n - 137. Let p be q(11). Do 14 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2\/7, 1130 in descending order.\nAnswer: 1130, -2\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szgfzkfgkgfftfg. What is prob of sequence gfgz?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-2))\/(31500\/(-46800))\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 10*f**2 + 2*f + 3. Calculate u(5).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-3)\/t))\/(t\/t**(4\/5))*((t\/(t\/t**(2\/7)))\/t)**(16\/7) assuming t is positive.\nAnswer: t**(776\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 103*v**3 + 1660*v**2*w**2 - 2*v + 162407*w**2 wrt v?\nAnswer: 309*v**2 + 3320*v*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/8 and -67\/5250.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000016844223 to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 41.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 3*d + 22, -v - v + 2*v + 264 = 12*v - 28*d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 7 = -2*y, -y = -122*h + 115*h + 19 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and 2.797.\nAnswer: 0.22376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*s + 75*s = -2*p - 24, 2*p + 4 = s. Sort 4, -14, s, -3\/4.\nAnswer: -14, -3\/4, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 7*l - 5*l)*(-19*l**4 - 31*l**4 - 9*l**4).\nAnswer: 649*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53\/20 - 3 - ((-1620)\/75 + 21).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2)*8\/160*5.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(60) - (sqrt(60) - ((sqrt(600)\/sqrt(10) - sqrt(60)) + sqrt(60))))*2)\/((sqrt(12) + sqrt(12) + sqrt(96)\/sqrt(8))*4).\nAnswer: sqrt(5)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**3 + 243*i**2*r - 15*i*r - 8*r wrt i.\nAnswer: 12*i + 486*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-72)*6*(-105)\/14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.022 and -0.095.\nAnswer: -0.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3820 or -3801?\nAnswer: -3801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -15*u**4 - 2045*u**3 - 12490*u**2 - 18200*u = 0?\nAnswer: -130, -4, -7\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*n - 12600 = 12*n. Let q = 440 - n. What is the greatest common divisor of q and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -14. Suppose -97 = -z + n - 4*n, -s*n = -8. Suppose 556 = f - z. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/5 - 344*r**2\/5 - 12248*r\/5 + 25856\/5.\nAnswer: 2*(r - 202)*(r - 2)*(r + 32)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**5\/30 + 23*c**3\/6 + 3*c**2. Is p(-7) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 597\/4 + -4171\/28. Let t be (-2)\/(-90) - 2\/9. Which is the third smallest value? (a) 1 (b) 0.4 (c) k (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 3:48 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 16) to base 11\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 n, and 2 o when four letters picked without replacement from sneonnnoin?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**2 - 12*r - 1. Let p be w(-3). Let k be 339\/18 - p\/6. Calculate the greatest common divisor of 209 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 815338*m**2*o**3 - m**2*o**2 + 8*m**2*o + 1994*o**2 wrt o?\nAnswer: 4892028*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkk when three letters picked without replacement from {b: 4, k: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -16740707 (base 9) to base 4\nAnswer: -200011222000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.578 kilometers to micrometers.\nAnswer: 78578000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 852 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2820216 to the nearest integer?\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 9*r. Suppose m - 6 = 2. Let u(z) = 5*z + 4*z - m*z - 2*z. What is -4*i(l) - 33*u(l)?\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/20 (b) -5 (c) -1\/3 (d) 3 (e) 2\/47 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l**4 + 2*l**3 - 3*l**2 + 16328*l + 455985 wrt l?\nAnswer: -4*l**3 + 6*l**2 - 6*l + 16328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.29166 and 4.\nAnswer: 3.70834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1384888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 194285 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fllffall. Give prob of sequence afl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 4. Let j be z(0). Let h be -1*(14\/2 + -2). Let x = -26 + 31. Sort x, h, j in ascending order.\nAnswer: h, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.99618km to centimeters.\nAnswer: 7299618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -35272*q**2 - q + 3*q**4 + 0*q - 11 + 35274*q**2 as m*q + j*q**4 + z*q**3 + w*q**2 + u and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y - 22. Let n(g) = g + 2. Determine 2*n(z) - p(z).\nAnswer: -z + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 650494 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 0)*(2*h + 2*h + 2*h) - 2*h - h - 2*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 7. Let y(z) = -3*z**3 + 2*z**2 + 2*z + 2. Let k(o) = -5*o - 46. Let p be k(-9). Let d be y(p). Solve 3*c + 2 = q*r, c + r = -c - d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 45 + 9 = 0. Let t be ((-9)\/w)\/(-1 + 0). List the prime factors of 3*t\/(-2)*4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*f = 852, 9*f - 10*f = -3*x + 644. List the prime factors of x.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24903629?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 313 - 312. What is the nearest to 2 in -2, c, 0.5, -9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485195780 to the power of 1\/4, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 31*k + 2954*k**2 + 2*k**3 - 2941*k**2 - 16. Give c(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 667 and 944849?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -285615617, -285615616, -285615615, -285615614, -285615613, -285615612?\n\"Answer: u - 285615618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 6. Let d(g) = -20*g - 231. Let l be d(-12). Determine x(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -7*i**2 + 120*i - 654. Determine x(19).\nAnswer: -901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, z: 5, c: 4, t: 1, i: 1}. Give prob of sequence cic.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-8 + 3)) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5\/13 + 2*n**4\/13 + 48*n**3\/13 + 8*n**2\/13 - 320*n\/13 - 384\/13 = 0. What is n?\nAnswer: -3, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 3)*(693*c - 11 - 9 + 20 - 14176*c) in the form z*c + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 968568 = -5*a - 968547, -2*w = -5*a + 18 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3420 + -3379. Solve -i*v = -35*v + 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1350 and 420?\nAnswer: 18900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -613964529, -613964528, -613964527, -613964526, -613964525?\nAnswer: -613964524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*d, 0 = -2*o - 2*o - 4*d + 4. Suppose 0 = -4*c - o*x - 19 + 539, c - 139 = x. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100162 (base 7) to base 3\nAnswer: 20211120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 2 + (3 - 5 + 1)*(0 + 2 + 0))*(-16 + 16 + 20*c**3).\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/31)*q**(9\/2)\/q*(q**3)**(-2\/63) assuming q is positive.\nAnswer: q**(4349\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43088648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6666 is divided by 829.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 - -3. Let w = 7 - s. Round w to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363001 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: Suppose 18*b - 454 = -254 + 2392. What is the greatest common divisor of 13968 and b?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296*x**2 - 20*x**3 - 150*x**2 + 19*x**3 - 146*x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n + 19*n - n as p + f*n and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/19))**(-15\/7)*p*p*p**3*p*p**(1\/18))**(-39) assuming p is positive.\nAnswer: p**(-184951\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 851802 a multiple of 357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1377) + -2 + (sqrt(1377)*-3 - sqrt(1377)))**2 + 5.\nAnswer: 432*sqrt(17) + 49593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zo when two letters picked without replacement from {t: 3, o: 1, m: 3, q: 1, w: 6, z: 4}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 - x + 1. Let h be ((-3)\/3 + 7\/3)\/(234\/(-702)). Let q(t) = 3*t**3 + 2*t - 1. Determine h*q(b) - 5*n(b).\nAnswer: -2*b**3 - 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**7\/6 - 4*z**4\/3 - 7*z**3\/6 - 11*z**2\/2 - 15*z - 38. Find the second derivative of q(n) wrt n.\nAnswer: -140*n**3 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62122 and 106978.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) -4 (c) -8 (d) -0.9 (e) 1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 - 1)*(-81 + 12*q + 81).\nAnswer: 72*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6655, 53287, 179873, 426391, 832819, 1439135, 2285317, 3411343?\nAnswer: 4857191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 21*m + 34. Let r be w(20). Suppose -2*d + 48 = 6*j - 4*j, j = d + r. Solve 0 = -5*i - j + 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**3 - 5*f**2 + 7*f. Let j(w) = -4*w**3 - 7*w**2 + 10*w. Let q = -10 - -15. What is q*j(s) - 7*y(s)?\nAnswer: s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 137273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 18. Let b = 22 + -19. Suppose -3*x - 2 = b*d + 19, 4*x - d = -38. Which is bigger: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4618557 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4982349 to the nearest integer?\nAnswer: 2232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((19 - 10) + -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + -6 - (-135 + 78 + 69)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-4) + (-5 + 0 - -5). Suppose b*j - 88 = -4*i - 25, 0 = -5*j - 3*i + 61. Solve 4*t - 7 = -j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -714168 - 35591765?\nAnswer: -36305933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 83.99252 days?\nAnswer: 120949.2288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 0 - z**2 + 1 + 1 + 0*z**2. Suppose -4*y + 6 = 2. Let k(f) = -4 + 4*f**2 - 3*f**2 + y. Determine 3*a(s) + 2*k(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16359408 is divided by 564116.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95.41 + 95. Let q = h - 0.09. Let x be (-28)\/108*-3 + -1. What is the nearest to 1\/3 in 6, q, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 7*r - 2*m + 18, 2*r - 16 = -4*m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.04 and 4.073.\nAnswer: 4.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from {t: 14, g: 5}.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -26442692 and 1289.\nAnswer: -26441403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 183 = 217. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 4:55 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**5 + 183*i**4 + 5292*i**3 - 59232*i**2 + 53760*i = 0?\nAnswer: -28, 0, 1, 8, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-10) + 5\/2. Suppose -3*z = -5*b + 1 + v, 5*b + 4*z = -4. Suppose u - 5*u + 32 = b. Calculate the remainder when 30 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -159 + 149. Let d be (-130)\/(-13) - f\/(-2). Let z = 5 + -4. Sort d, z, 4, -6 in ascending order.\nAnswer: -6, z, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 1143 + 1071. Let o = -368 - q. List the prime factors of o.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - 1. Let f be (-46)\/40 + (-9)\/w. Which is the nearest to -5? (a) -2 (b) f (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.06 - -4. Let s = 266.8 - 267. Which is the second biggest value? (a) s (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117*t**4 + 4*t**3*z + 886*t*z + 3*t - z wrt t?\nAnswer: -1404*t**2 + 24*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 49 = 3*t, 3*t - 4*t = -w + 21. Let c = w - 18. What is the closest to c in -1\/7, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5148 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28667?\nAnswer: 109, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604804.\nAnswer: 2, 151201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 12. Let b be (8\/f*3)\/(-2). Suppose -5*g + 5 = -4*q, -2*q + 1 = b*g - g. What is the closest to 4 in -2, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/4 (b) -117\/7 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 179609285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135628?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.9 - -2. Let x = 0.03 - 0.23. Let a = q + x. Which is smaller: 1\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.4 + -13. Let g = 0.1 - 0. What is the nearest to -0.2 in o, g, 4\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24\/13 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 487597232 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) -0.2 (c) -1540 (d) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008449043 to 4 dps.\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -25 (b) 0.3 (c) 4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7757, -8112, -8467?\nAnswer: -8822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwddntwwnwwnttwwn. What is prob of sequence dtd?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ab74d (base 16) to base 3.\nAnswer: -1022200100120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11011702.\nAnswer: 2, 13, 32579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -74\/59?\nAnswer: -74\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 16757014?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*d*d\/(d\/(d*d**(-15)))*d))\/(d*d*d**(2\/45)*d*d) assuming d is positive.\nAnswer: d**(403\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 2*f = 6, 4*o - 270*f - 28 = -275*f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*c, -4*c - 3*w = -4*w - 8. Calculate the lowest common multiple of 5 and (-4)\/6 - (-20)\/c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01432 + 12.98568. Let a = -1\/70 + 143\/210. What is the smallest value in v, 0.5, a, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 1 + 6 - 4*c**3 - 17 + 9*c**2 + 6 in the form z*c**3 + i + v*c + j*c**2 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10265.08, -0.077 in ascending order.\nAnswer: -0.077, 5, 10265.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) - (sqrt(209) + 1*sqrt(209)*-2)) + sqrt(209))\/sqrt(11))**2 + (sqrt(1216)*-2 + 5)**2.\nAnswer: -160*sqrt(19) + 5060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 + 11 - 12*z**4 - 28*z + 3*z**2 - 11 + z**3 - 2*z**2 to the form s*z**2 + w*z + o*z**4 + q + g*z**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -11*l. Let t(p) = -5*p. Suppose -4*z + 3*z = 7. Let h(f) = z*t(f) + 3*m(f). Let w be h(2). Solve w*d = -0 + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 632962 divided by 28771.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5110122 and 3102?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + (sqrt(84) - (sqrt(84) + -4*sqrt(84)*3))\/sqrt(7))**2.\nAnswer: -288*sqrt(3) + 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -111901.6 and 142.\nAnswer: -15890027.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1002*(-9)\/702 - 13 - (-2)\/182. Let s = -1 - -2. What is the second smallest value in -4, -1, d, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12053293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 3:03 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 1325050?\nAnswer: 1325050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -0.0469.\nAnswer: -0.2345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -445?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 1715571*c + 5146686.\nAnswer: 3*(c - 571854)*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 3*u + 3. Let m be d(-3). Let y be -4 + 5 + (-2)\/m. What is the nearest to y in 2\/7, -4, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from psppppnpppppts. Give prob of picking 1 p, 1 n, and 2 s.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 12:31 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 92925 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 6*s + 14. Let q be i(7). Suppose -2*l + 6 + 7 = 3*g, -2*l + 4*g + 48 = 0. What is the greatest common factor of l and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -763, -2764, -5987, -10432, -16099, -22988?\nAnswer: -31099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 201 and 194688064?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6 = -15. Let l(j) = 2*j - 42. Let b be l(q). Solve b = -3*d - d - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254894 is divided by 3974?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7165180957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - c - 6 - 71 = -11*u, 18*u + 35 = 23*u + 3*c for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4593 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 20 + 3 - (9 + -19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -818.0512071 rounded to the nearest integer?\nAnswer: -818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 13) to base 6\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7826382840 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*(2*-1*(1 + sqrt(475) - sqrt(475))*-4)**2.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -38 + -885 + 918.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125688573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = -2*x - 0, 0 = 3*s - 5*x + 5. Suppose s*o - 1780 = -4*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**5\/40 + s**3\/3 - 1. Let f(c) be the third derivative of b(c). What are the prime factors of f(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2. Let s(a) be the third derivative of -1\/20*a**5 + 0*a**3 + 5*a**2 + 0*a**4 + 0 + 0*a. Give i(s(t)).\nAnswer: 18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l + 5. Let u(v) = 2*v + 4. Let s(i) = 6*u(i) - 5*x(i). Let b = 19 + -8. What are the prime factors of s(b)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7)*u**0)\/(u**(-1))**(-1\/7) assuming u is positive.\nAnswer: u**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 307 - 304. Which is the second biggest value? (a) -3\/2 (b) 1 (c) f (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 + -147 + 52 - (21 + -7)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -236, 1331.\nAnswer: -236, 2, 1331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*f + 204 = -9*f. Let w(g) = g**3 - 4*g**2 + 8*g + 15. Let l be w(f). What is the highest common factor of 81 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2011, 2004, 1995, 1984, 1971, 1956?\n\"Answer: -r**2 - 4*r + 2016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3649 divide 279900194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1318076 is divided by 898?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-438)\/130 + 5 + -2. Let g = 2\/65 - y. Factor -g*k**5 - 2\/5*k**2 - 6\/5*k**4 + 0 + 0*k - 6\/5*k**3.\nAnswer: -2*k**2*(k + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4909 - 2013*y**2 + 4035*y**2 - 2020*y**2)*(y - 6*y + y).\nAnswer: -8*y**3 + 19636*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**4\/24 + r**3\/6 - r**2. What is the least common multiple of 6 and b(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9860)\/((-4 - 28\/(-8))\/(1\/1)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75639952?\nAnswer: 2, 4727497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - -12?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 232.2 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 180802856 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 6. Suppose -q*o + 2*o + 14 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.377 + -11.27. Let o = -4.983 - i. Round o to 1 dp.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*t - 24 = -6*o, -5*o + 25 = 5*t. Suppose 5*n = -u + 180, o*u - 3*n = -2*n + 825. What are the prime factors of u?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a4786 (base 12) to base 3\nAnswer: -101221110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 19761739?\nAnswer: 434758258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3015993 + (-6 - (-6 + 5)) + -2. What is y rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from okkoookookookkokooo.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 101212 (base 4) in base 9?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 3:19 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 241 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -4*p + 11 + 24, 5*p - 4*a - 37 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddzdzzzzddddzdzdzzdd. What is prob of sequence zd?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41.45 - -187.45. What is the biggest value in 1, -0.01, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 5*w**2 + 1130*w + 6811. Give h(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 16685?\nAnswer: -8\/16685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**3\/7 + 44970*z**2\/7 + 6107474*z\/7 - 3064980\/7 = 0.\nAnswer: -11105, -138, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*m + 4*m + 75. Let j be (250\/m)\/(0 + 4\/(-18)). Let a = j - -87. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - z - 15, -5*z + 12 = 4*y - 0*y. Let b(a) = -a**2 - 2*a**2 + 7*a**2 - a - y*a**2 + a**3 - 1. Let h be b(0). Put h, 5, -5 in decreasing order.\nAnswer: 5, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67776 (base 9) to base 6.\nAnswer: 544453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -39. Let f be (17 - 2)*(-14)\/n. Solve r = 4*r - f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*1 + 5 + 2*(sqrt(108) + -1))**2.\nAnswer: 108*sqrt(3) + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -16*l**3 + 4*l**2 + 9*l. Let w(z) = -48*z**3 + 10*z**2 + 24*z + 1. What is 8*r(v) - 3*w(v)?\nAnswer: 16*v**3 + 2*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*sqrt(1008) - sqrt(1008))**2 - 3*(3*sqrt(252))**2.\nAnswer: -2768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -10*t + 2. Let b(s) = s. Let u(h) = -2*h + 53. Let y be u(26). Give y*g(o) + 8*b(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 13*i**3\/3 - 2*i**2 - 6. Let q be u(3). What is the second derivative of -9*t**5 - 105*t**4 + 5*t + q*t**4 wrt t?\nAnswer: -180*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1742 - 1737. Solve -t*f - 76 = -66 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1301 = -4*n + 185. Let q = n - -548. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -87 - -47. Let g be (-3)\/4 - c\/(-32). Let s be (-3784)\/(-20) - g\/(-10). What is the greatest common factor of s and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1115588 and 3926?\nAnswer: 14502644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4774348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/13, 3, 0.04, -20, 0.18 in ascending order.\nAnswer: -20, -1\/13, 0.04, 0.18, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-231)\/(-12)))\/((-6)\/(-7))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -9785.\nAnswer: -3\/9785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.626\nAnswer: -0.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/55332 and 49\/18?\nAnswer: 55332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x**5 - 6367821*x**4\/2 - 32634943*x**3\/5 - 44892889*x**2\/10 - 6367782*x\/5 - 636778\/5 = 0 for x.\nAnswer: -318389, -1, -2\/5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 f when three letters picked without replacement from {m: 1, c: 2, f: 4, n: 1, i: 1, q: 6}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1\/2*-1 + (135056\/32 - -15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158210879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**4\/12 - 5*k**3\/6 + 5*k**2\/2 + 12*k. Let w be t(4). Which is smaller: 20\/9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -18, 3\/5 in descending order.\nAnswer: 3\/5, 0.03, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 14*p**2. Let s be h(1). Find the common denominator of 38\/s - 3 - 438\/280 and -11\/126.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -1, -3*l = -l + 5*v - 1369. List the prime factors of l.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*f - 57 = -0*f + 1053 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440 - 9418 = -920*o + 1032*o - 450 for o.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4922 and 414?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 643547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*p - 2262 = -23*p for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 0*m - 1\/4*m**4 + 2 - m**2 + 0*m**3. Find the second derivative of i(z) wrt z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 5*d**4\/12 + d**2\/2 + d. Let z be -2 - (-3 - 0) - 2. Calculate the remainder when y(z) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28140 and 490?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49551 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8486, -16957, -25428?\nAnswer: -33899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -839.2, 20, 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 59. Suppose -85 = 3*t - 5*n - 436, -n + 557 = 5*t. Calculate the highest common factor of t and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11.905 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 3*w + 6. Let z(y) = 2*y + 2. Let b(o) = 2*o + 3. Let q(f) = f - 3. Let v be 12\/18 - (-2)\/(-3). Let u be q(v). Give u*z(c) + w*b(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110471 and 305?\nAnswer: 552355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66327691 is divided by 185?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**4\/6 + 2*x. Let z(u) = -10*u. What is o(z(w))?\nAnswer: -200*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7478 divided by 6\nAnswer: -3739\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3860 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-0.005801033.\nAnswer: 0.0023204132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 2*g**3 + 149*g + 3 - 161*g - g**2 to w*g**3 + z + c*g**2 + m*g and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -22, -0.0895, 0.05 in descending order.\nAnswer: 0.05, -0.0895, -3, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 772423168 divided by -32?\nAnswer: -24138224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*x**2 - 11*x**2 - 26*x**2 - 83)*(-30*x**2 - 34*x**2 + 96*x**2).\nAnswer: 32*x**4 - 2656*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 18992?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 736, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 278 * -0.08\nAnswer: -22.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 282 and 13959.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - -3 - (3 - 1). Let p be -9*(22\/(-18) - k). Solve 0 = -3*d - 2*s - 9, -d + 3*s + 10 = -p*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (68\/85)\/((-6)\/60)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*h + 4 - h**2 - 2*h**2 + 4*h**2.\nAnswer: h**2 - 260*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2815135\/18 or 156395?\nAnswer: 2815135\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 265 and 27613.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 918048428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 276\/(-1495)*-13*2\/((-2)\/(-1)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 56) + 1475 + -1466\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -1232?\nAnswer: -1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + w = -2*w + 6, -4*n + 20 = 2*w. Sort 18, 2, n, -5 in descending order.\nAnswer: 18, n, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8335607 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, p: 1}. Give prob of sequence tp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27185, 108720, 244607, 434846, 679437?\nAnswer: 978380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 0 + 0*n**4 - 1\/30*n**5 + 0*n**3 - 1\/30*n**6 - 1\/105*n**7 - 7*n**2 + 0*n. Factor s(k).\nAnswer: -2*k**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**6*g\/(g\/(g\/(g\/(g**(3\/10)\/g)))))\/(((g*g**(-2\/19)*g)\/g)\/g**(-2\/9)) assuming g is positive.\nAnswer: g**(8863\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 22 - 26 = 0. Suppose 5*o - 13*u + 19604 = -b*u, -2*o = -u + 7844. Round o to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 - 3*h - 4. Let l be c(3). Let x(g) = -g - 3. Let q be x(-3). Suppose -l*f = -q*f. Put f, -1, -4 in ascending order.\nAnswer: -4, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.4. Let f = 224.6 - 236. Let k = f - -11.5. Which is the closest to k? (a) 2 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, x: 1, p: 1, g: 4}. What is prob of sequence xpe?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = b - 5*f - 16, 3 = 3*f. Solve 0 = -j + b - 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1224686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1148 is divided by 93.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ennk when four letters picked without replacement from kbebbebkkkkenebbbn?\nAnswer: 1\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 40937721, 40937722, 40937725, 40937730?\n\"Answer: h**2 - 2*h + 40937722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 - 18*i - 25. Give x(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527179159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3184.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/24 and -59\/1602.\nAnswer: 6408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -2 - (5 - 6). Suppose 168*t - 687 + 183 = 0. Find l such that -2\/17*l**4 - 2\/17*l**p + 12\/17*l**5 + 0*l + 0 - 8\/17*l**t = 0.\nAnswer: -1\/2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2 + 26*y - 7. Let j be g(10). Calculate the common denominator of 39\/35 and (j\/(-25))\/((-53)\/265).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.9648 + -0.0732. Let s = x - -1.9337. What is s rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 e when three letters picked without replacement from xixixxxxxixxei?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*d**4 - d**3 - 3*d**2 + 2811*d + 7311825 wrt d.\nAnswer: 28*d**3 - 3*d**2 - 6*d + 2811","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -950\/63 - -104\/7. Let y = 7.2 + -6. Let m = 1 - y. Put 1, m, j in descending order.\nAnswer: 1, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 17*a - 223 = 0, -5*l + 831 + 1067 = -2*a. Calculate the greatest common factor of 10340 and l.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhkk when four letters picked without replacement from hphkhkhhuphkhkh?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -6. Suppose 3*c - 9 + m = 0. Solve -r = v, 4*v - r - 6 = -c*r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (5\/(-16))\/(5 + 2\/(-4)) and 101\/64.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3744\/(-8424))\/((-4)\/(-234)) - 5\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 - 35*a**4 - 2*a - a**3 + 8*a**3 - 2*a**3 + 37*a**4 as t*a**3 + i*a**2 + g*a + s + o*a**4 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 3*u**4\/28 - 5*u**3\/7 - 39*u**2\/14 - 3*u - 51. Factor a(r).\nAnswer: 3*(r - 7)*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**4 - 2118*o**3 - 60993*o**2 - 485628*o - 744276 = 0.\nAnswer: -13, -2, 734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*u + 32*u - 8 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 51 + (-3 - 9).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/(sqrt(112) + (sqrt(112) - (sqrt(112) - (sqrt(112)*4 + sqrt(112))))))\/(-2*5*3*sqrt(5)).\nAnswer: -sqrt(11)\/720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85.2 - -92.2. Sort 0.3, 0, v, 1\/6, -0.5 in ascending order.\nAnswer: -0.5, 0, 1\/6, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1084 is divided by 270?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 u, 1 j, and 1 n when four letters picked without replacement from djjujdjnuduj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = m + 6*l + 22, 0 = -2*m - 4*l - 24. Let w be (-5)\/m*(-48)\/(-30). Solve -d = -w*u - 16, -1 = u + 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 21\/24)\/(187\/(-308)). Which is the third smallest value? (a) s (b) -0.3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/1)\/((-14)\/259) - -1. Let y = n - 171. Which is bigger: y or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**3 - 16*f**2 + 16*f. Let q(d) = 7*d + d**3 - 3*d**2 + 13*d - 17*d. What is -16*q(m) + 3*x(m)?\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -615*v**2 - 5074*v + 612*v**2 + 5074*v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + -10 + 30 - (-190)\/25?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**3 - 667*d**2 + 504*d - 1009. Determine k(166).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1563*x**3 - 2988*x**3 - 192*x**3 - 8173*x**3.\nAnswer: -12916*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-3) - (-4)\/1. Suppose -g*s + 2*s + 48 = 0. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512489 is divided by 28471?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6528224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 81643442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -29*t**3 - 3*t**2 + 2*t + 3. Let b(z) = -z**3 - z**2 + z + 1. Give 3*b(x) - s(x).\nAnswer: 26*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -b + 12, 42*b - 67*v = -131*v + 69*v - 13 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264265 and 158559?\nAnswer: 792795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1557\/27507*(-28)\/42\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298*q**2 + 5644936*q**3 + 600*q**2 - 5644934*q**3.\nAnswer: 2*q**3 + 898*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + n - 2*n + 4016 = 0, -4*n - 16 = 0. Let g = p - 1785. What is g rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/6 and -11\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*p = 36*p - 700. Suppose -y - 35 = -2*y. Calculate the highest common factor of p and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/(-12))\/(12\/9))\/(285\/(-456)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 - 5*c + 7. Let t(u) = u**3 + 12*u**2 + 23*u + 277. Let d be t(-12). Give p(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -0.18. Let z = -0.48 + 2.46. Let s = o + z. What is the second smallest value in -0.1, s, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (27\/7)\/((-675)\/(-3150)). Solve 19*w - w = -u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -145460.3 - -145397.2947. Let h = v - -63. Round h to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/717 + -5003\/5736. Let l = -1\/8 - x. Which is the closest to 1? (a) -3 (b) l (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/2 + 37*s**2 + 1309*s\/2 + 2058.\nAnswer: (s + 4)*(s + 21)*(s + 49)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -8519*i**5\/20 - i**4\/12 + 9*i. Let u be m(-1). Let r = u + -4177. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 3)*(-1 + -7). Is (-258)\/n - (-9)\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*i - 5*g - 70, 3*i + 4*g - 25 = -51 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = -2*l + 13. Let f(y) = 4*y**3 - 2*y**2 + 1. Let h be f(l). Let v(w) = -8*w + 2. Determine v(h).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9675*j - 212847. Calculate s(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26933*g**2 - 13567*g**2 + 1 - 1 - 75*g**3 + 74*g**3 - 13366*g**2.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 665, 5305, 17913, 42479, 82993, 143445?\nAnswer: 227825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 3*z - 3\/2*z**2 + 0 + 1\/6*z**3. Let d be 16\/(-64) - 33\/36*3. Let o(w) = -3*w + 5. Give d*o(m) - 5*k(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.411 - -63.811. Let a = t + -63.41877. Round a to three dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*w = 34, 0*m + 12 = 3*m + 3*w. Calculate the least common multiple of 21 and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f - 27. Let q = 49 + -5. Suppose -3*v = 4*i + q, 47 = -3*i + 2*v + 14. Calculate the remainder when l(i) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2328\/14 + (-2)\/7. Let f = k + -104. Let w = 67 - f. Solve 3*m - w*m = 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(19) - (sqrt(19) + 5 + sqrt(19) + 1)) + -5)**2)*-1.\nAnswer: -142 - 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -7*w + 19, 4452 = 5*w - 4*m + 4462 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-5\/4)\/d)\/d*(d\/(d\/d**(1\/6)))\/d)\/(d**(-3\/7)\/d*((d*d*d\/(d*d\/d**8))\/d)\/d))**(3\/52) assuming d is positive.\nAnswer: d**(-811\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at most -399.62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2116?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -11*m**3 + 5*m**2 - 66*m + 168. Calculate g(3).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/3 + 11662*o**2\/3 + 11660*o\/3.\nAnswer: 2*o*(o + 1)*(o + 5830)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3585629711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, r: 9}. What is prob of sequence rr?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c. Let f(u) = -13705859*u**2. Determine s(f(t)).\nAnswer: 13705859*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 19 = 77. Let j = 2\/799 + 80695\/1598. Find the common denominator of j and (u\/(-80))\/(2\/4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 934, 2173, 3652, 5371, 7330, 9529, 11968?\n\"Answer: 120*m**2 + 879*m - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + (-5 + 2\/1)*-297?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 134, 264, 480, 782, 1170, 1644, 2204?\n\"Answer: 43*p**2 + p + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -8*t - 5. Let n be z(-1). Suppose 0 = -n*q + 74 - 62. Suppose -r = -2*p - 20, 3*r = 2*r + q*p + 22. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r**(1\/2)*r)*r\/(r*r**(-1\/14)*r)*r*r*(r**(1\/2))**(-11\/8) assuming r is positive.\nAnswer: r**(-125\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 48580428 divided by -2857\nAnswer: -17004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 217. Let x(f) = -2715*f**2. Calculate l(x(i)).\nAnswer: -7371225*i**4 - 217","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w = 2113064 + 2973336. Round w to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 9. Let l be a(-6). Let p = -1 + l. Suppose o - p*d - 4 = 0, -5*o - 2*d + 7*d = -30. Solve -4 = 3*n + 4*r - o, 3*r - 3 = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**5 - 36*b**4\/5 - 666*b**3\/5 - 316*b**2 - 528*b\/5 = 0.\nAnswer: -4, -3, -2\/5, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + -5*sqrt(72)*1)*-6)**2*-6.\nAnswer: -9768600 - 972000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-32)\/(-12))\/(8\/12). Suppose 3*v = -n*v + 259. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 533 - 533 - 82*u.\nAnswer: -82*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 383.4513ms?\nAnswer: 0.3834513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-2) + -2 - 3. Calculate the common denominator of 7 + (-99)\/84 - (-15)\/35 and y + (-99)\/(-6) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*(-1 + (sqrt(504)\/sqrt(9) - sqrt(56))\/sqrt(8)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 411*w. Let n(x) = -6*x**2. Calculate i(n(q)).\nAnswer: -2466*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.82 - 3341?\nAnswer: -3340.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 201.\nAnswer: 22512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 35. Let a = -11 - -5. Put o, a, 0 in ascending order.\nAnswer: a, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**5\/21 - 296*f**4\/21 - 2012*f**3\/3 - 8976*f**2 + 421362*f\/7 - 353736\/7 = 0. What is f?\nAnswer: -51, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**2 - 84*o + 7. Let c(b) = 5*b**2 - 84*b + 8. What is 6*c(n) - 7*r(n)?\nAnswer: 2*n**2 + 84*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 0*q**2 + 0 + 15*q + 5\/3*q**4 + 0*q**5 - 17\/30*q**6 + 0*q**3. Find the third derivative of j(g) wrt g.\nAnswer: -408*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, 61\/6, -3, 2, -0.36?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24422 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2. Let r(o) = 567012276*o. Determine r(d(q)).\nAnswer: -567012276*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 5*y + 35 - 5, 0 = -5*y - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2565)\/1805*(-30)\/135.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s**2 - s - 10. Let v(z) = -18*z**2 + 2*z + 28. What is -14*t(b) - 5*v(b)?\nAnswer: 6*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10775.\nAnswer: 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 29. Determine q(15).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/939526 and 8\/13623127?\nAnswer: 27246254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2966 minus 5.6579?\nAnswer: -2971.6579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -29*j + 2. Let c be n(17). Suppose -q = -2*v + 4*q - 689, -5*v = -4*q + 1714. Let d = v - c. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 5*i**2 - 5*i + 8. Let g be p(-6). Let r(l) = l**g - 3*l - 2*l**2 + 0 - 3. Let z(s) = 14 + 17*s + 3*s**2 + 3*s**2 + 3. Give 34*r(o) + 6*z(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 8*y**2 - 1. Suppose 0 = 3*r - 6. Let i = 1 - r. List the prime factors of s(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -5, 1, 119 in increasing order.\nAnswer: -5, -4, 1, 4, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 3, f: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2 + 42802*w - 128397 = 0 for w.\nAnswer: 3, 42799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 + -40. Let z be (-1539)\/6*(v + -1). Suppose -3*k = -2*b + 2*k + 209, -5*b + 3*k = -z. List the prime factors of b.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 4*o**5\/5 - 4*o**4\/3 - 8*o**3\/9 + 8*o**2\/3 - 4*o\/3 - 20. Find u, given that t(u) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 0, -2, 7, -1, 914?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5\/9 + 2295430*d**4\/9 - 658626008324*d**3\/9 + 658621417468*d**2\/9 + 658626008326*d\/9 - 658623712898\/9 = 0. Calculate d.\nAnswer: -1, 1, 573857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 27*i. Let p(r) = -963*r**2 + 1887*r**2 - 961*r**2. Give p(y(m)).\nAnswer: -26973*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/908 and 75\/608.\nAnswer: 138016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (2 - -3) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20973 + -566497\/27. Let g = f + 809\/216. Calculate the common denominator of 6\/30 - (-474)\/(-20) and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1260\/(-57) + (49 - (-50166)\/(-1026))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57296*v**2 + 23839 wrt v.\nAnswer: 114592*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -66, 61, 194, 333, 478, 629, 786?\n\"Answer: 3*j**2 + 118*j - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5329619*w**6 + w**4 - 413390*w**2?\nAnswer: -639554280*w**3 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9595.3 (b) -1 (c) 16\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(12) - sqrt(48)) - (sqrt(7) + (sqrt(7) - (0 + (sqrt(28) - sqrt(7))))**2).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57270 by 230.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -43, -106, -1915, 0 in ascending order.\nAnswer: -1915, -106, -43, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -42*k**2 + 65*k - 195. Calculate c(3).\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04001727285318 + -0.06.\nAnswer: -0.01998272714682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from sohdddoddodvoo?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3269 divided by -467\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 + -1.3. Let w = u + 0.6. Sort w, -0.04, 5 in ascending order.\nAnswer: -0.04, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -4, -2, 99 in decreasing order.\nAnswer: 99, 3, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8.559046ug?\nAnswer: 0.000000000008559046","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 11*h**2 + 5*h - 14. Let a be p(11). Suppose 4*w - 45 = -5*x, 4*w + 2*x - x - a = 0. Let 6*v**2 - v**2 + v**4 + 4*v**4 + w*v**3 = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 10*d + 11. Let a be k(8). Let t be ((-25)\/2)\/a - 1. Let w(x) = x - 8. Let y be w(10). Does t = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23\/2 - 12. Let z = -2188.1 - -2188. Which is the closest to z? (a) f (b) 3 (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2641 + -2645. Let i = -131 - -657\/5. What is the third biggest value in s, -5, 0.2, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 9*v + 11. Let z be f(-10). Suppose -4*y = -z + 17, 5*y + 18 = -w. Let n = -4 - -8. Solve 2*x = -t + n, 16 = -2*t + w*x - 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*o + 83*o = -492. What is the remainder when 478 is divided by o?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 + -2 + 4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3270 = -b - 3279 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5097477 times -0.5\nAnswer: -2548738.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 1\/7, 59, -10\/9.\nAnswer: -10\/9, 1\/8, 1\/7, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**2 + 986767*f - 493384 = 0.\nAnswer: -493384, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - (-114)\/(-36))\/(6\/(-4616)). Let j = p + -128. Do j and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6969180 <= -6969178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.002, 4\/5, 0.5, 457, 0.22 in descending order.\nAnswer: 457, 4\/5, 0.5, 0.22, 0.002, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:14 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**6\/120 + u**5\/30 + u**4\/6 - u**3\/6 - u**2 + 3*u + 21. Suppose 3*k = 2*c + 11, -5*c + 0 = 2*k - 1. Give m(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*1*sqrt(637)*-3 - (-5 + (sqrt(637) - 2*sqrt(637)) - ((sqrt(637) - (sqrt(637) - 2*sqrt(637))) + 4 - sqrt(637)))**2).\nAnswer: 714*sqrt(13) + 5258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 1 + 1 + 2*d**2 - 1 - 2*d. Let m be r(2). Suppose 0 = 4*q + 5*g - 33, -6*q - m*g = -q - 45. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = 474 - 504 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 261258213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5758*q**2 - 5*q + 514 wrt q.\nAnswer: 11516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 197 - 420. Let u = m + 228. What is the highest common divisor of u and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.079 - -0.078803. What is t rounded to 5 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -99 - -193\/2. Let y = c + 111\/44. Is y greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01553 (b) -2 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15737 divided by -2.\nAnswer: -15737\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4291498, 8582996, 12874494, 17165992?\n\"Answer: 4291498*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -4. Suppose 3*x + l*x - 5*a - 40 = 0, 7 = x - 2*a. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50913595 divided by 505.\nAnswer: 100819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 868*k - 71796. Give w(-76).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1892\/3 + -9466\/15. Which is the nearest to 7? (a) 4 (b) 11 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626598 is divided by 313273.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4140 and 406548.\nAnswer: 2032740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 376*d**4 + 14*d - 13*d**2 + 2 - 41*d + 15*d + 11*d**2 + 13*d to k + c*d**2 + s*d**3 + v*d**4 + u*d and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5751543*f*j**2 - 2*f*j + j**4 + 199*j + 2193 wrt j?\nAnswer: 11503086*f + 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and -33?\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 702 = -2*u, 2*u + g = -3*g + 702. Is u a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-1)\/(2\/6). Suppose r*j + 24 = 4*w - j, -2*w - 3*j - 3 = 0. Let f be (-2)\/(-11) - (-11 - 404\/(-44)). Solve f = 5*s - w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -518*n - 2 + 2 + 528*n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21155 - 21154.60668. Let g = 0.493 - s. Let a = g + -0.1. Round a to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1468 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 - t**2 + 2*t**2 - 2*t + 2*t + 4*t**2 + t**2 + 0 + 0 + (0 - 4 + 2)*(-2*t**2 - 2*t**2 + 3*t**2) + t**2 + t**2 - t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 553 - 364. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**2*f**3 + d**2*f**2 - 7*d*f**2*n**3 + 158*d*f**2*n**2 - 152*f**3*n**3 wrt f.\nAnswer: -6*d**2 - 912*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 8:48 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 16*v + 377. Let f be x(-23). Solve 0 = -f*u + 4*u - 0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -221*o + 5606. Calculate p(26).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 13 = -3*v, -5*v + 2*m + 17 = -m. Solve -y - 5 = -v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005512732333 rounded to six decimal places?\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*d + 20, 4*d - 5*m + 0*m = -12. Let a be (7 - (d + -4)) + -1. Is 23*(a\/(-32))\/((-2)\/8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 365, 364, 359, 350, 337?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*g - 2, 2*g + j = g + 6. Suppose 5*l + 2*d = 15, g*l = 4*l + 2*d - 6. Solve l*m = -2*m + 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183952910?\nAnswer: 2, 5, 18395291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*i + 10 = 0, 18 = -k + 5*i - 2*i. Let g be 6\/28 + k\/6. Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, -4, 1\/2 in ascending order.\nAnswer: -4, -0.1, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1291*d + 26*d**2 + 631*d - 1 + 39*d**3 + 659*d to the form w*d + o*d**2 + u + s*d**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*3)\/(3093\/(-7217)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -12, -66, 396 in decreasing order.\nAnswer: 396, 0, -3, -12, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 2*l + 2*l. Let w(c) = 4*c. Let d(t) = -6*s(t) + 2*w(t). Let p(n) = -n - 1. Let q(b) = -5*b - 6. Let f(g) = -6*p(g) + q(g). Determine d(f(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -11. Let y be ((-36)\/33)\/(z\/(-12)*3). Which is the second smallest value? (a) y (b) -2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j**2 - j**2 - 4*j**2 + 0 - j**2 + 0 + (-2 + 2*j + 2)*(2*j + 0*j - 3*j) - 6*j + 4*j**2 + 6*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**4\/20 - 98*l**3\/15 - 97*l**2\/10 + 1263. Solve n(m) = 0 for m.\nAnswer: -97, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*t - 42*t - 5*d = 40, 15 = t - 2*d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -15*n - 118. Let d be w(-8). Let z be 930\/(-3570) - d\/(-17). Let k be 3\/(-6) + 26\/28. Which is the closest to 0.1? (a) k (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 152\/3*3\/2. Suppose -4*m + 2*u = -494, 0*m - 3*m + 378 = -3*u. Let n = m - a. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*b - 98 = 0, 0 = z - 4*b - 13 - 3. Calculate the highest common divisor of z and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*l + 41*l - 272. Let t = l - 102. List the prime factors of t.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 = -l + 271. Round l to the nearest ten.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -102063, -204136, -306209, -408282?\n\"Answer: -102073*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 g when three letters picked without replacement from xgggggxgggx?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2 - 11014*c - 22036 = 0. What is c?\nAnswer: -2, 5509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4954 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5103598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**4 - 3*r**3 + 3*r**2 + 4. Let w = -2 - -4. Let p(q) = q**4 - q**3 + q**2 + 1. Let h(t) = w*s(t) - 6*p(t). What is the derivative of h(k) wrt k?\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 - (14 + 12) - 27?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50.80232 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.036 in 27, 2\/11, -3, 3\/4, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -14. Let b(y) = -18*y - 58. Calculate the remainder when b(-4) is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.86*100.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88 - -98. Let f(i) = 27*i - c - 24 + 0. Let o(y) = -14*y + 17. Let m(v) = 2*f(v) + 5*o(v). Differentiate m(x) with respect to x.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -509 (base 14) to base 15\nAnswer: -45e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7ab - 175?\nAnswer: -931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 320173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 9:02 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -210102022 (base 3) to base 8\nAnswer: -36376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -1\/18, 0.01, -0.33?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5142 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 d(b) be the third derivative of -b**6\/120 + b**5\/30 + b**3\/3 + 2*b**2. Let x(p) = -6*p**3 + 11*p**2 + 11. Let c = 18 - 14. What is c*x(t) - 22*d(t)?\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qffqffqqfqfqqqqqfq. What is prob of sequence qq?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -67 + 24 + (0 - -8) + 0 + 0?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 11, -3, 34, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 312, 628, 944, 1260, 1576, 1892?\nAnswer: 2208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(-2*sqrt(10)*1)*6)**2*-3.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.74 + 0.26. Let y = 58.4 + -74. Let h = u + y. What is h rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6631 is divided by 45.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 416238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 28056\/(-11690) + 3172\/1330\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y + 59. Let f be j(-7). Solve 5*p = 5*t, f*t - 35 + 7 = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**3 + 11*n**2 + 5*n. Let l(d) = -6*d**3 - 12*d**2 - 4*d. Let i(s) = -4*j(s) - 3*l(s). Factor i(w).\nAnswer: -2*w*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1051231 (base 7) to base 14.\nAnswer: -355c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 52889946226?\nAnswer: -52889946227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f + 21 = 5*z, z = -3*f + 9. Suppose -z*y + 4 = -5. Let k be (-2 - -2)\/(y\/(-3)). Solve 0*b + b + 1 = k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72711 is divided by 80?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*q + 1084 = 0, -106*t - 2*q = -110*t + 2172. What is the greatest common divisor of 17 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.37 - 0.37. Let w = -3.8 + x. Sort w, 0, 2 in increasing order.\nAnswer: w, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 2:48 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 1241 in increasing order.\nAnswer: -5, -4, 1241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**3 - 7*v**2 + 8*v. Let h(u) = -u**3 - u**2 + u. Let g(j) = 3*h(j) + w(j). Let x be g(8). Is 6\/10 + (-3536)\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9436, -9434, -9430, -9424, -9416, -9406, -9394?\n\"Answer: g**2 - g - 9436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a millisecond in microseconds?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*z**4 + 12*z**3 + 1031*z**2 + 32*z + 93002?\nAnswer: 144*z**2 + 72*z + 2062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + m + 15. Suppose 36*q - 38*q - 14 = 0. What are the prime factors of f(q)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**4\/12 - d**3 - 5*d. Find the second derivative of o(h) wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + 17. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*i**2 - 26*i**2 + 37*i**2)*(-4*i + 2*i + i)*(-9 + 4 - 2)*(-i + 3*i - 4*i).\nAnswer: 210*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7*-0.13239\nAnswer: -0.92673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 380 - 386. Sort 0, 9, a.\nAnswer: 0, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/1*(-2 - 3) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 + 37*c + 128. Calculate j(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 4*l**5 + 29188*l**4 + 58001896*l**3 + 16954089928*l**2 + 33734290900*l + 16838173684 = 0.\nAnswer: -3473, -349, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -12*j + 54. What is p(-9)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j**2 + 6*j + 6. Let t(a) = 5*a**2 - 7*a - 7. Let i(g) = 6*t(g) + 7*v(g). Let l(m) = -m. Calculate l(i(w)).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -574, -0.03, 1\/5 in descending order.\nAnswer: 1\/5, -0.03, -574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 217036976 to the power of 1\/2, to the nearest integer?\nAnswer: 14732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/4*(-3)\/(36\/(-8)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 2961177*y**2 + 5922347*y - 8883525.\nAnswer: (y - 1)*(y + 3)*(y + 2961175)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*d + 31*d - 13 = 0. Let i be (-3)\/(d + 4) + 6\/3. Which is the nearest to i? (a) -2 (b) 1\/48 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4775207?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 739253447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 - 3*k**4 - 27*k**2 + 593*k + 0*k**3 - 596*k - k**4 + 3*k**4 in the form z + f*k + n*k**4 + v*k**2 + x*k**3 and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 3 + 1 = 4, 5*y + 8*y + 6 = 4*l + 12*y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000862326 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80 - 13 - 62) + 0 + -18 + -1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 21*a + 56. Calculate w(23).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90248640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002688903 to four decimal places.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26043?\nAnswer: 3, 8681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001403939 to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/3 - 1548*a + 4650.\nAnswer: -2*(a - 3)*(a + 2325)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 46 + 131221*w.\nAnswer: 131221*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o = 19277 - 853. Calculate the highest common factor of o and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.14*-0.26\nAnswer: -0.5564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 84dbb (base 14) in base 8?\nAnswer: 1162771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 0*y - 1\/12*y**5 - 5\/24*y**4 + 0*y**3 + 1\/24*y**6 + 1\/42*y**7 - 12*y**2 + 0. Factor m(d).\nAnswer: 5*d*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 16, 17, 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -44, -2, 5 in decreasing order.\nAnswer: 5, -2, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73366285 is divided by 286587.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 + -67. Suppose -2*u = o*k - 4*u - 20, 4*k - 48 = -5*u. What is the third derivative of -k*j**6 + 12*j**2 - 10*j**6 + 0*j**6 wrt j?\nAnswer: -2040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/40*-51*125\/75.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*i + 2239 + 2237 - 6715 + 2239.\nAnswer: 21*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2567 + -2566.8. Which is the closest to -0.1? (a) v (b) -1 (c) -2.8 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8404 - 46114*z**3 - 16805 + 8401 + 46110*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4448 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -21*r + 82*r**2 + 84*r**2 - 143*r + 83*r**2 - 245*r**2 = 0.\nAnswer: 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 - (1 - (-1 - -5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 4*c**2 - 2*c + 1. Let k(y) = -y**2 - 1. Let m(q) = 3*k(q) - w(q). What is the units digit of m(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j - 3*j)*(-3*j**4 + j**3 - j**3) - j + 15*j**5 - 278 + 278.\nAnswer: 18*j**5 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6)\/(3\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000001010001001001 - -111000?\nAnswer: 110000001010010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 36*g**2 - g - 43. Determine q(-36).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 0. Suppose -6*a + 4 = -2*a - 4*c, 5*c - 3 = -w*a. Let t = 40 + -29. Calculate the smallest common multiple of a and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**4\/12 - x**3\/3 + 84*x**2 + 10*x. Is 10 a factor of u(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 45*y + 276. Let i be h(50). Solve 2*a = -o, -27*o = -i*o - 5*a - 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/((-6)\/(-52)) - 1 and 43\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 + 62*m - 58. Let t be q(-32). Solve -t + 0 = -2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 15. Suppose 18 = -2*q + 5*z - 2, -4*z + t = -3*q. Sort -1, 7, q.\nAnswer: -1, q, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 246\/205555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.4 + 5. Let q = 1.235 - 2.235. Let s = -2 - -2. What is the nearest to 0.1 in u, q, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -2, 3, 5\/316?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, f: 1, k: 1, p: 1, l: 7, z: 2}. Give prob of sequence fsz.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4\/1169453?\nAnswer: -4\/1169453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 193823027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1020\/7 + -146. Let b = -17 + 9. Let g be (b\/30)\/((-18)\/30). What is the biggest value in g, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*l**4 - 246970*l**3 - 296388*l**2 - 592792*l\/5 - 15808.\nAnswer: (l - 9880)*(5*l + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-10))\/(2\/(-10)). What is the remainder when 12 - (-4 + n\/2) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(28\/(-72))\/(-7)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 - 1144*k**2 - 9093*k + 9093*k in the form d + u*k**3 + y*k + n*k**2 and give n.\nAnswer: -1144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 307079, 306853, 306643, 306455, 306295, 306169, 306083, 306043?\n\"Answer: f**3 + 2*f**2 - 239*f + 307315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -502*i**2 - 56739*i - 251. What is b(-113)?\nAnswer: 1218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q - 47. Give b(-29).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.025 + -0.598346.\nAnswer: 10.426654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, o: 11}. What is prob of sequence iii?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2035*o**3*u**4 + o**3*u + 5*o**3 + o*u**5 - 17*o*u + 12*o wrt u?\nAnswer: 24420*o**3*u**2 + 20*o*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1050 and 9150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -43*(-31)\/(-11) - 4\/(-22). Let u = -845\/7 - t. Which is the biggest value? (a) 0.2 (b) 0.08 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 25 = -z, 2*z = -3*z - 4*g - 5. Let q(w) = -20*w + 11. List the prime factors of q(z).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*b + 0 + 2\/7*b**4 - 2\/7*b**3 - 2\/7*b**2.\nAnswer: 2*b*(b - 1)**2*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + 43. Calculate the least common multiple of m and 15.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.62 + -60.38. Let z = a + 60.838. Round z to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 848329291*n - 424164584*n - 424164707*n + n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1 = d, -4*m - 5*d = -3*m + 13. Suppose -m*p + 0*p - 37 = -h, 0 = -4*p + 16. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133655.\nAnswer: 5, 26731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -6*u - 5*u + 123. Solve -12 = -2*m - 4*r, 0 = -u*m - 2*r + 46 - 32 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 994*r + 60 = 990*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -11*u**3 + u**2 - u. Let r be y(1). Let m = -11 - r. Put m, 1, -1\/2 in descending order.\nAnswer: 1, m, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 44 - (-40)\/(0 + -5). Let m(s) = -s**2 - 18*s - 24. Let q be m(-16). Let b be 1\/q + (-190)\/(-16). Calculate the greatest common divisor of b and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1003*a**2 - 763 - 156 - 416 - 2*a wrt a.\nAnswer: -2006*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**2 + 5 + 8*a**4 - 6 - 9*a**4 to j*a + r*a**4 + k*a**3 + o + l*a**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.12401ns in microseconds?\nAnswer: 0.00712401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 824837816 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/16 and -107\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r**2. Let b(j) = -5*j**2 - 3*j. Let o(h) = -14*h**2 - 8*h. Let q(w) = -8*b(w) + 3*o(w). Calculate q(z(m)).\nAnswer: -72*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-41)\/(17425\/100)*1\/(-2)*1\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 - 11 = -2*v + 2*y, 0 = 2*v - y - 63. Suppose 0 = d - v. What are the prime factors of d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 373.594 - 374. What is h rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zzzzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681900638 a multiple of 1194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opoo. Give prob of sequence oop.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -125839 = 1\/128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 5*o + 3. Calculate n(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/51)\/((-56)\/(-24))*5*-35?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357278743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073 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: Calculate the remainder when 2147 is divided by 372.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2286?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-6)*1\/2. Are a and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-12))\/(3 - 0). Let b be 13\/(-6) - (1 + -3). Which is smaller: w or b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + z - 2*z, 5*z = 2*i. Suppose 5*u - 3*c + 119 = i, 0*u + 2*u = -c - 41. Let q = -15 - u. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, 2\/11, -2\/593, 3, 0.4.\nAnswer: -2\/593, 2\/11, 0.4, 3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1578 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 780 and 1170.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 4*h - 4*h)*(-36 - 8*h**2 + 36) + (-2*h**2 - h**2 + 2*h**2)*(-2*h - 2*h + 3*h).\nAnswer: -15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.9 (b) -102 (c) -1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 704.837 rounded to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 129?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2466 (base 12) to base 8.\nAnswer: 10016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 423 + -422.8. Which is the third biggest value? (a) w (b) 10 (c) -4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22c7d (base 14) to base 2\nAnswer: -10100101100101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 7*t - 41. Let p be (1\/12)\/((-14)\/(-56))*45. What are the prime factors of a(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 7, 19, 3 in descending order.\nAnswer: 19, 7, 3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2347.201l?\nAnswer: 2347201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 18.6 (c) -1 (d) -0.03066 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -5*i + 2*h + 31 - 45, 4*i + 2*h + 6 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 23 = -5*w - 9, 2*x = -5*w - 14. Suppose -348 = -2*r + x*t, 4*r - 4*t = r + 524. Suppose 9*m - r = 4*m. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -655*j**2 - 273 + 273.\nAnswer: -655*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 86*g + 115. Let x = 47 - 40. Calculate the remainder when s(x) is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 56960233 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -8828, -228 in decreasing order.\nAnswer: 2, -1, -228, -8828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuz when three letters picked without replacement from uzuzuuuyuuuuuu?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192004*a - 226932*a + 769813*a.\nAnswer: 734885*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10420.\nAnswer: 2, 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1024, -2044, -3068, -4102, -5152?\n\"Answer: -f**3 + 4*f**2 - 1025*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3016891537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -t + 12. Suppose 2*q = -2, 5*q = 5*f - 10*f. Suppose 5*x + 6 - 16 = 0. Solve x*z - t*z = -f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15123158.11 to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1204 - -3?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6 = 4*r, -8*n + 3*n = 3*r + 1. What is the third derivative of d**2 + d**2 - 3*d**5 + r*d**2 wrt d?\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10090, 2 in decreasing order.\nAnswer: 2, -1, -10090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/14)\/((4\/(-63))\/((-22)\/9))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + m + 3. Let l(q) = -4*q**2 - 6*q - 18. Let d(x) = -l(x) - 6*n(x). Let w(v) = 11393*v. Determine d(w(g)).\nAnswer: -259600898*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/45 - (4 + 5020\/(-18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -33 + -51 + 100 + -26 + 1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 324739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28226.8 - -28185.7782. Let n = 0.0782 - o. What is n rounded to 0 decimal places?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-12)\/((9\/(-15))\/(24\/60)) and (-4 + 0)*11\/(-4)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -197\/210 and -29\/189?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.970323 take away 213974?\nAnswer: -213974.970323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4685981\/599 + 7823. Let t = g - -619\/2995. Factor 49\/5 + 14\/5*j + t*j**2.\nAnswer: (j + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 108414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82 - -120. Suppose -d = u - 3*u. Let f = 20 + u. What is the remainder when f is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267523453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 0.1, 4, -14, 2\/11, -2\/3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2827*f**2 + 4*f - 4. Let x = 89 - 101. Let u be (4 + (-1)\/1)*x\/(-36). Is y(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -27. Let d = 7 + k. Suppose c - d = 26. What is c rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-4 + -5*sqrt(275))*-3)**2.\nAnswer: 1800*sqrt(11) + 62015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14726, 27954, 41182, 54410, 67638?\n\"Answer: 13228*f + 1498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35803078?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 - 144. Calculate the least common multiple of 22 and (2 + -1)\/((-2)\/z*2).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 7 - 5*h**3)*(4*h - 6*h + h)*(4 + 52 - 7) in the form r*h + z*h**4 + s + a*h**2 + o*h**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 3*o = -9*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-715)*-11)\/(3\/(-20))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 13*w - 2*k - 56, 0 = -2*w - 4*k - 0 + 8 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 237*d - 375. Give b(3).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -289\/4, 1\/5, -0.2 in descending order.\nAnswer: 1\/5, -0.2, -289\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-14)*(504\/(-2))\/(-4). Suppose -g = -5*p + 2*t + 63, -20 = -5*t. Solve -7 = -6*k - p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (-2 + 2 + sqrt(17)) - (-4 + sqrt(85)\/sqrt(5)))*-6)**2.\nAnswer: -288*sqrt(17) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -202 + 182 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 3*g + 21 = t, 0 = -3*t - 12 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0*r - 2*r)*(2*r + r - 5*r).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*r + 31066 + 458701 + 13267. List the prime factors of r.\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1700)*-6 + sqrt(1700) + sqrt(1700).\nAnswer: 80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2 + -5*(sqrt(567) - (0 + sqrt(567)))*5*-6)*-6)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, m: 9}. Give prob of picking 2 w and 1 m.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/(-260)*(-4)\/(-6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -44\/5 (c) 2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204*n + 26672 + 102*n + 103*n.\nAnswer: n + 26672","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 5:37 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -0.5 (b) -4 (c) -1\/7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r + 3*r - 3*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q - 14. Let a be x(9). Solve s + 4*s + a = -4*z, -4 = -2*z + 4*s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*(sqrt(612) + 4 + sqrt(612) + 1) - (-4 + (3*(sqrt(612) - (sqrt(612) - sqrt(612)*-5)))**2)).\nAnswer: -137726 - 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 5*m + 5. Let i be y(-5). Let p(q) = q**2 + 8*q - 6. Let c be p(-9). Solve -c*u - i = 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134290695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-297)\/110) + 10\/2.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*b = 10. Let h be (-4)\/6*(-6)\/(-4). Let o = h + 0. Which is smaller: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34310540 (base 6) in base 9?\nAnswer: 1872046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 32. Let t = o + 11. Suppose -t = -g - 2*g. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4543 = -14*o + 3*o. What is the greatest common divisor of o and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41349.\nAnswer: 3, 7, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (-706)\/8 + 6\/24. Find the common denominator of -17\/2 and ((-1017)\/a)\/(3\/(-2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d - -c?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 190\/12876427?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 730258 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -31\/180*r**5 + 0*r**3 - 1\/240*r**6 - 11*r + 0 + 7\/48*r**4 + 5*r**2. Factor i(u).\nAnswer: -u*(u + 21)*(3*u - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -4. Let l(f) = 47*f**2 + 2*f - 1. Is l(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*k - 5*k + 11*k - 294 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 11:48 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18369918 and 658420?\nAnswer: 183699180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 51\/2 of a tonne?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 1\/1871 (c) -38 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*d**4 - 6*d**3 + 3*d**3 + 4*d**3 + d**4 - 4 + 4 + (5*d**3 - 5*d**3 + 2*d**3)*(-3*d + 5*d - d).\nAnswer: 16*d**4 + d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 - 3*g**3 + 4*g - 4 - 19*g**2 + 17*g**2 - 3*g**4 + 5*g**4 + 7 in the form s*g**4 + t + k*g + c*g**3 + v*g**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121233, 123685, 126139, 128595?\nAnswer: 131053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(4 + -1))\/2. Suppose w = -j - 3*z + 1513, -1503 = -j - 7*z + 9*z. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18a9 - 2?\nAnswer: -18ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*j**3 + 120*j**2 + 45*j - 10 = 0.\nAnswer: -1, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w**2 - 14*w + 30. Suppose 3*v - 4*q - 5 = -20, -5*v = 2*q + 25. Let g(l) = -3*l**2 + 14*l - 28. Let x(u) = v*g(u) - 4*o(u). Give x(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + o)*(2*o**3 - 2 + 2) + (-o**4 + 0*o**4 + 2*o**4)*(3 + 1 - 3).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 9*y**2 - y + 6. Let j be v(9). Let m(p) be the second derivative of p**3\/6 - 2*p**2 - 18*p. Calculate m(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 52 - 114*c - 117*c + 230*c. Suppose -b = -2*b - 4*m - 25, -2*b - 42 = 4*m. Is u(b) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(-310)*(-8)\/6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 310 - 2*k**3 - 308*k + 177*k - 491*k - 105*k**2 - 213*k**2.\nAnswer: -2*(k + 1)**2*(k + 155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 867.0966 years in decades?\nAnswer: 86.70966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -14*(1 + -2)*(-2)\/(-4). Suppose -4*s + 3*w - 24 = -5*s, -4*s = 3*w - 51. Suppose j - s = -n, -j - 13 = -2*n - 4. Which is greater: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o. Let v(u) = 135*u + 116 - 130*u + 516 + 441. Determine v(a(j)).\nAnswer: 10*j + 1073","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 o, and 2 k when four letters picked without replacement from wkqok.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 0.1, 7, 2\/45?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.4203985mg?\nAnswer: 0.0000004203985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -927, -808, -687, -564?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45359 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c + 3*c**2 - 1\/12*c**4 - 5\/6*c**3 + 0. What is the units digit of f(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, v: 5}. Give prob of sequence vrv.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -99484612 greater than -99484612?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s + 3*s + s + (-4 - 1 - 1)*(-81 + 10*s - s + 80) in the form z*s + w and give z.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*(-41493)\/(-27) - (-9 + (-1659)\/(-189)) is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, l: 3, x: 5, b: 2, q: 1, v: 1}. What is prob of picking 1 v and 1 l?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 2:14 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 11. Let b = 36 + j. Let c = b + -14.7. What is the closest to -1 in 1, c, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 425295 and 25848?\nAnswer: 1221447240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 5)*(-4 + 2 + 3) - 47 + 22 + 23)*((-2*w + 4*w - 3*w)*(0 + 0 + 2) - 4 - 3*w + 4).\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4007802 and 15198?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42276, -84581, -126896, -169221, -211556, -253901?\nAnswer: -296256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -2*v**3\/3 + 120. Let f(p) be the second derivative of -p**3\/6 - 21*p**2 - 37*p. Give f(g(j)).\nAnswer: 2*j**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2214380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25401 (base 6) in base 13?\nAnswer: 1978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1515592912?\nAnswer: 2, 19, 23, 216761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1480 and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 e when four letters picked without replacement from eeeezeeeeeeezeez.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/780 (b) 4 (c) 0 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 0 - m**2 + 1\/3*m**3 - 20*m. Let t(o) = o**3 + 4*o**2 + 3*o - 3. Let u be t(-3). Give i(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/31 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -16*(2 - 3\/(-2)). Let y(a) = -a**2 + 2*a + 4. Let v be y(7). Let c = v - k. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 568\/(-64) - -9 - 2196\/(-96)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -4*a + 7, 3*a = 8*o - 5*o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/(-51*76\/80104)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26053607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16845 is divided by 1055.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -31. Let p = -16 - -37. Put i, -5, p in ascending order.\nAnswer: -5, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 60082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -322 - -322. Solve 2*y = -g - 6 - 4, -4*y - 16 = v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429 + 541 = 112*d. Let a(m) = -63*m + 69. Give a(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2585 and 5995.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-30 + ((5 - 5) + 5 - 14)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tn when two letters picked without replacement from {h: 1, x: 12, n: 1, t: 2, c: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + sqrt(450))*-4 + -4.\nAnswer: -80*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -584*b + 22542 - 7942 = 0 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 606\/21 + 1\/7. Let b = 12 - 2. What is the remainder when q*(-2 - 2)\/(-4) is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113347531 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6665355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 3:00 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 19. Suppose -t*u - 1022 + 3852 = 0. Suppose 2*l + u + 6074 = 0. Round l to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*o + 2*i - 3, 5*i = 15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2622942 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16536 or 16537?\nAnswer: 16536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4357 - -0.43562913. Round h to 6 dps.\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 < 57\/1046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -35. Let r be (-12)\/2*s\/(-90). Which is the biggest value? (a) -4 (b) r (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z + 5. Let t(g) = 2*g - 6. Let j(x) = 3*l(x) + 2*t(x). Give j(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/5 + 42*i**3\/5 + 142*i**2\/5 + 102*i\/5.\nAnswer: 2*i*(i + 1)*(i + 3)*(i + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -279 - -412. Let t = -132 + p. What is the highest common factor of t and 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*a - 111. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1174 = 21*o - 842. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 1803.8099?\nAnswer: -5411.4297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1049, -1062, -1097, -1166, -1281, -1454, -1697?\nAnswer: -2022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (112\/35 + 0)\/((-4)\/(-10)). Suppose 38 = y - 3*w, 5*w = -y + c - 2. Calculate the remainder when y is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86 - 73. Calculate the highest common divisor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 308 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7678677.\nAnswer: 3, 1579, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 43, 87, 131, 175, 219?\n\"Answer: 44*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 30 - 31 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -67.5 + -0.22\nAnswer: -67.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 95 = 175. What is the highest common divisor of 270 and w?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 16*g + 106. Let d be h(-5). Solve p + 28 = d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 3*r**2 + 4*r + 6. Let o be m(-4). Suppose 12 + o = 3*h. What is the third derivative of 0 + 4*f**h - f**2 + 0 wrt f?\nAnswer: 480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-27)\/3*(-26)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 276*g - 273*g + 5*r - 4, 5*g - r + 12 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -319, 36 in increasing order.\nAnswer: -319, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 plus -1.57505?\nAnswer: 18.42495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 5, -140, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -83900000 rounded to the nearest 1000000?\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 222 by -305.\nAnswer: -222\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 221304, 221502, 221698, 221892, 222084, 222274, 222462?\n\"Answer: -f**2 + 201*f + 221104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/5)\/((-2553)\/(-370)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 8432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejejjejeejeejjeeejjj. Give prob of sequence jjjj.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + 114. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p + 44 - 31 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*i + 12514 = f - 85*i, -5*f - 2*i + 62555 = 0. What are the prime factors of f?\nAnswer: 7, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 6*o**2 + 7*o - 6. Let z be p(5). Suppose -2*j = d - 159, -4*d + 0*j = -z*j - 672. Is 4\/(-3)*d\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 9*f - 26. Let y be k(-10). Let i(s) = 20*s**2 - 1. Let a be i(-1). Let l = y + a. Let v(c) = 2*c - 1. Determine v(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6755 - 6719. Calculate the greatest common factor of i and 1179.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**5\/20 + 3*q**2\/2 - 4*q. Differentiate m(i) with respect to i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*c - 22528004, 6*c + 5632020 = j + 16*c. Round j to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*l**2*q**2 - l**2 - 14*l*q**2 - 1820*l + 4*q**2 wrt q?\nAnswer: -8*l**2*q - 28*l*q + 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -14 times -15\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 294089461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 0 + 0 + l. Let a(v) = -18*v**2 - 35. Let s(y) = 12*y**2 + 25. Let c(b) = 5*a(b) + 7*s(b). Calculate g(c(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -6. Let s be 7\/49 - 39\/(-21). Solve l = -s*q - q - 5*u - 6, 2 = -q + 5*u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-70)\/12))\/((-68)\/(-255)*-6)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*l = -18, -2*i + 2*l + 8 = -0*i. Suppose i*n - 3*n - 4 = 0. Solve r = -a - n, -r + a = -10 + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i**2. Let a(g) be the third derivative of g**7\/840 - 71*g**4\/24 + 7*g**2 + g. Let f(l) be the second derivative of a(l). Determine o(f(r)).\nAnswer: -36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 4, -c = 4*b - 0*c + 444. Let g = 362 + b. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 50, 3, -44, -91, -138, -185?\n\"Answer: -47*i + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -21. Let r = 9 - 8. Sort -2, s, r in decreasing order.\nAnswer: s, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14.02 equal to 0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4371 + -4371.00002031. Round s to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(245) + -1)**2.\nAnswer: -28*sqrt(5) + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven eighths of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*m**2*t + b*m*t**3*x**2 + 2*b*m*t**2*x**2 + 2*b*m*x - 9*b*t**3 + b*t*x**2 + 73*m**2*t**3 + 24*m*t wrt t.\nAnswer: 6*b*m*x**2 - 54*b + 438*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l + 9. Let j(m) = -6*m + 7. Let n(v) = 3*h(v) - 4*j(v). Determine n(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + sqrt(68) + (sqrt(68) + 1*sqrt(68) - sqrt(68))*-4)\/sqrt(4)*-1 - (((sqrt(119) + sqrt(119)*-2)*2)\/(sqrt(77)\/(sqrt(11)*2)))**2)*1.\nAnswer: -272 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 881483003.\nAnswer: 881483003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h + 19*h + 191050 = 4*j, 5*j = 3*h - 191095. List the prime factors of h.\nAnswer: 2, 3, 5, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.317 + -23.483. Let h = -23.7 - s. Is -0.066 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j - 2. Let d(p) = -p - 1. Let l(x) = 3*d(x) + i(x). Suppose 5*v = k, -2*k + 7*v = 2*v. Suppose 5*z + 16 - 46 = k. Give l(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 101250\/103501 - 48\/1247. Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 178641 and 600.\nAnswer: 35728200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 5*v - 166*d = -146*d + 613, -5*v + 102 = -5*d - 28 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 4 + 9*k**2 - 12 as u*k**2 + x*k + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 7*g + 228. Let m(n) = -6*n - 152. Let i(d) = -2*k(d) - 3*m(d). Let c(j) = -194*j**2. What is c(i(w))?\nAnswer: -3104*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 9284902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.4 - 1. Let u = g - -2.4018. What is u rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 + 21*k - 7. Give t(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(304)*-2)**2 - sqrt(19))*1*-5 + 0)*-4.\nAnswer: -20*sqrt(19) + 24316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1666646402 to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f. Let j(h) = -2*h + 1344. Calculate b(j(g)).\nAnswer: 4*g - 2688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 9.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*k + 24 = 0, 2*n - 3 - 21 = -5*k. Solve -4*f + f - n = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1079 + 2562. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = n + 40. Let w be (-10)\/90 + (-138)\/(-27). Solve -3*d = -w*d + n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198 and 28292.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, 85, 209?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6923.08 millennia to decades.\nAnswer: 692308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3620149 is divided by 37704?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v - 18 = 0. Let d(m) = 2*m**3 - 4*m**2 + m + 2. Let a(s) = 1 - 2*s**2 - 6650*s + 6650*s - s**3. Let f(w) = -a(w) - d(w). What is f(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 8.56, -3463, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 0 + 3\/2*n**2 + 5\/4*n**4 - 7*n - 29\/12*n**3 - 7\/40*n**5. Factor k(c).\nAnswer: -(c - 3)*(c - 1)*(7*c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + -43)\/(6\/(-3)). Let t = u + -13. What is the remainder when 15 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3186393 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 5:27 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 10*o**2 + o - 11. Let c be 3 - (134\/10 + (-4)\/10). Let x be k(c). Is (-36513)\/x - (-2)\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 11, d: 9}. Give prob of sequence de.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 279 = 5*v - 7*v, -5*v + 5*u = 695. Suppose 0 = 5*k - 8*q + 3*q + 490, -2*q - 188 = 2*k. Let t = k - v. Does 22 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 191, 387, 687, 1097, 1623, 2271?\nAnswer: 3047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/5, -1, 5, -31.15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4751 * -29573\nAnswer: 140501323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13638523*t**3 - 43*t + 73361?\nAnswer: -81831138*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -610 = -3*m + 2*c, -4*m + 54*c - 57*c = -768. What is the lowest common multiple of 21 and m?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 111, 77, -16\/5, -0.09?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 minus -5235299.675?\nAnswer: 5235223.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -188*f**2*s**2 - 3*f**2*s - f**2 + f*s**2 + 35*f*s wrt s.\nAnswer: -376*f**2 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n = 9*n + 12*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8356 by 1.\nAnswer: 8356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -72. What is the highest common factor of 343 and r?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86705624?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 1) + 58 + -19 + -7 + 5 + -6?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*a + 3*a - 4*o, 2*o = -5*a + 55. Suppose 0 = -a*f + 4*f + 225. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -612*z - 6012 = 1944 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y**4 + 6*y**3 + 13*y. Let l = 26 - 20. Let r(d) = 14*d**4 + 13*d**3 + 27*d. Let q(m) = l*r(m) - 13*a(m). Find the second derivative of q(z) wrt z.\nAnswer: -84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1483, 2967, 4451, 5935, 7419, 8903?\n\"Answer: 1484*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 45*y - 101*y + 45*y + 8 - 2*y**2 + y**2 + 3*y**2. Determine m(8).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2128, 2077, 1992, 1873, 1720, 1533, 1312?\n\"Answer: -17*v**2 + 2145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.8 - -0.6. Let o = r + 0.7. What is the smallest value in o, 4, -1\/6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 14 = -5*z. Let r(o) = 5*o + z*o + 3*o - 8*o. Let x(v) be the second derivative of v**4\/12 + v. What is x(r(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, c: 11, x: 1}. What is prob of sequence ccc?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**1)\/r**(3\/8))**(-44) assuming r is positive.\nAnswer: r**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 7:04 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 188174265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 4:50 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34770031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 649*o - 3090 = 2751. Let d(q) = -12*q. Let u be d(-6). Suppose s = -3*s + u. What is the smallest common multiple of o and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 45 = 3*b, -b + 4*g + 5 = -25. Let h = -13 + b. Sort -35, h, 0 in ascending order.\nAnswer: -35, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 - 3*n**2 + 0*n**2)*(-26*n - 4*n - 138*n - 4*n).\nAnswer: 516*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203878 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/9 (b) -1\/2 (c) 0.8 (d) -1 (e) -1091\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 3. Let y be s(-3). Let x = 2 + y. Find the second derivative of x*b**3 - 6*b + 7*b + 0*b wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2037204 divided by -54\nAnswer: -37726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32580, 38964, 45338, 51696, 58032, 64340, 70614, 76848?\nAnswer: 83036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + c**2 + 5. Calculate n(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -430\/11, 2\/13, -7699?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13006033\/10890 - -1514\/1089. Let v = -1197 + l. What is the common denominator of v and (-19)\/(-1 - (-51 - -2))?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -19*v**2 + 813*v - 7672. Determine q(14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/72 and 119\/348?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p**2 - p + 0*p**2 + 2*p**2 + 2 - 2 + p**2 + (-2 - 3*p + 2)*(5*p - 10*p - p) in the form r + w*p + j*p**2 and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11040 + 2201142?\nAnswer: 2140102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 - 1 + 2)*(-3 + 6 - 2) + 0 + 10 - 4)*(1 + 2*q**4 - 9*q**4 + q**4) in the form v*q**4 + y*q + c*q**2 + b*q**3 + d and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 1) + -4 + -1 + 5 + -2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 4*l - 17*l**3 - 3 + 6*l**3 + 8*l**3 to the form p*l**2 + b + m*l**3 + v*l and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 7*s + 0*s - 2 - 4 in the form t*s + r and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*r**2 + 41*r**2 + 17*r**3 + 39*r**2.\nAnswer: 17*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 165558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q = 21 + 35 + 49. Solve 0 = 3*o - q*x + 26 + 2, -o = -5*x + 26 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/6)\/(36\/(-54))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/(-7)*(0 - -14). Let m = n - -45. Differentiate 2*b**2 - m*b**2 + 5*b**2 + 8 wrt b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u + 11. Let d(k) = -k - 10. Let z(x) = 4*d(x) + 3*q(x). Let l be z(6). Suppose 0 = -5*g + 15 + l. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -0.7, 0.2, 1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n - 20. Suppose 6158 = 23*w - 4192. Suppose 0 = n*r - 5*b - 0*b - w, -90 = -r + 5*b. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/33*138\/(-230)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3*w**2 - 5*w - 11*w + 6 - 3.\nAnswer: -3*w**2 - 16*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29481459?\nAnswer: 3, 7, 1403879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 734785, 734784, 734783, 734782, 734781, 734780?\n\"Answer: -u + 734786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 72033995?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3943 (base 15) to base 13.\nAnswer: 5736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 890\/(-22) + (-313680)\/(-7842).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -164283\/103 - -1595. Is 1\/4 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - d. Let o be b(1). Let s be ((-1 - -1)\/3)\/o. Let k(h) be the first derivative of h**3\/3 - h**2\/2 - 3*h - 2. Determine k(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 243, 235, 227, 225, 235?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13436, -26798, -40160, -53522?\n\"Answer: -13362*b - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4091*l**2 + l + 6 - l**3 - 3*l + 8190*l**2 - 4105*l**2 to the form f*l + p*l**2 + u + v*l**3 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.9433 decades in years?\nAnswer: 139.433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n - 2*n - n**4 + (1 + n**3 + 0*n + 0*n)*(282*n - 10893 + 10893) in the form d*n + a*n**2 + g + r*n**3 + f*n**4 and give d.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39890397 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1612 - -1553) + (0 - 7 - 3).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 220*i - 348*i - 66*i to the form h + w*i and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.00932*-0.1\nAnswer: -0.000932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -21.952. Let l = -0.252 - m. Let k = -3 - -5. Which is the nearest to 1? (a) k (b) l (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 227074092*q**2 - 102549926*q wrt q.\nAnswer: 454148184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-36)\/60)\/((-8)\/(-10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 4 = 11*z. Suppose z*b = 8*b - 892. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(4\/5)*s\/(s\/(s*s*s*(s**(-31\/5)\/s)\/s*s)) assuming s is positive.\nAnswer: s**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l + 21*l - 4*u = -3, 4*l = 5*u + 35 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 24*c = -36. What is the second derivative of -h**3 - 3 + 4*h**c - 44*h**4 + 35*h - 2*h**3 + 6*h**4 + 6*h**3 wrt h?\nAnswer: -408*h**2 + 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -274 divided by 5?\nAnswer: -274\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 187?\nAnswer: 1\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-2)\/(-8)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7, 105, 291, 551, 885, 1293?\n\"Answer: 37*g**2 + g - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -11*v - 54. Let n(a) = -5*a**2 + 3*a**3 - 3*a**3 - 4*a**3 + 3*a**3 + 5*a - 4. Determine n(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1410147?\nAnswer: 3, 156683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 150442541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*b - 10*b - 23*b + 11*b = 0. Let d(z) = z**3 + 2*z**2 - z + 2. Let n = 1 - 3. Let a be d(n). Solve o = -b - a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 112802*a - 112783*a + 190 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 186, 732, 1634, 2886, 4482, 6416, 8682?\n\"Answer: -f**3 + 184*f**2 + f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -87*r - 1399. Determine d(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*(((o\/((o*o**5)\/o))\/o*o)\/o)\/o)\/o))\/o*o*o**(1\/16)*o\/o**(-12)*o\/(o*(o\/o**(-1\/11))\/o*o) assuming o is positive.\nAnswer: o**(3339\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -5, -5\/3, 3.\nAnswer: -5, -5\/3, -2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6) + 0)*2961\/(-282)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 + 6*b + 6. Let y be x(6). Let w = 36 + y. Suppose w*g = 1201 + 977. Calculate the highest common divisor of g and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*s + 3*s - 423, -5*s = -2*d - 429. Suppose 0 = 5*f + 4*q - 97 - 40, -3*q = 6. What is the remainder when s is divided by f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1154*d + 40 = -1134*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 - 38 + 90)*(-2 + 2 - 3*g) + (-41*g - 10*g - 25*g)*(-1 + 2 - 2).\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 9*g - 5. Let u be l(1). Suppose 2*m - 7*z + u*z + 26 = 0, 0 = -4*m - 4*z - 12. Let d(k) = 2*k**2 + 0 + k**3 + 2*k + 5*k**2 + 10. Calculate d(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 17*y - 120. Let d(t) = -4*t + 30. Calculate -26*d(q) - 6*s(q).\nAnswer: 2*q - 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 261016 (base 11) in base 7?\nAnswer: 3332054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -504\/24805, 8, -1\/2, -3.\nAnswer: -3, -1\/2, -504\/24805, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from {c: 4, z: 15}.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 0*i**7 + 0 + 0*i**3 - 1\/540*i**6 + 0*i - 2*i**2 + 0*i**5 + 0*i**4 + 1\/1512*i**8. Factor h(o).\nAnswer: 2*o**3*(o - 1)*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 53 in 0.03, 36.1, 8?\nAnswer: 36.1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 12:22 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369 = -158*k - 626 + 205. What is the second biggest value in k, 3, 10, 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c - 28*c + 362 = 0. List the prime factors of c.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12321)\/777 - -17)*-42.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.3870511 to three decimal places.\nAnswer: -3.387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/6 and 57\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -27*t**3 - 12*t**3 - 8 + 7 + 101*t - 103*t. Give g(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 26 - 37 = -4*a, -3*a - 3 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftyfmfn. Give prob of picking 1 f and 1 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 14. Let b be d(-10). Let u be 60\/9*102\/b. Suppose z + 4*z = u. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*p - 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.4967ml in litres?\nAnswer: 0.1464967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3776*q - 3780*q + 448468. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w + 70 = 0. Suppose 204 = s - 0*p - 2*p, 192 = s - 5*p. Suppose -4*z = 2*q - s - 170, 20 = -4*q. What is the highest common divisor of w and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 64\/(-28) + -1 + 3. Let d be (57 - 57)\/(4\/(-1)) + 1 + -5. Which is the closest to z? (a) d (b) -1 (c) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 5. Let w = 397\/30 - 77\/6. Let s = -1 + 2. What is the closest to w in -2, s, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1003 or -0.071?\nAnswer: -1003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 4:23 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22057049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 323999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/3? (a) -1 (b) -3 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from {t: 4, h: 9, z: 2, k: 4}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3983146?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000398506 rounded to 6 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1734\/(-425) - -4)*1\/2?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 3*k + 3. Let t be g(3). Suppose -5*y = -41 + 6. Let f(o) = -5*o. Let m be f(-1). Solve -t*u = y + m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 228.8 + -229. Sort 41, 0.5, a in decreasing order.\nAnswer: 41, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvvvqgqxgnvvmg. What is prob of sequence gqv?\nAnswer: 15\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -131 divided by 11625\nAnswer: -131\/11625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*n + 138 = 0, 100 = w + w - 2*n. Suppose -5*y = 3 - w. Is 12 a factor of (4\/(-10))\/(y\/(-810))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5119 is divided by 109?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3 + -1 + sqrt(76) - -1*(0 + sqrt(76) - sqrt(76)))**2.\nAnswer: -16*sqrt(19) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v + 0*v + v + v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186224.\nAnswer: 2, 103, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1375)*-2)\/((sqrt(55)*2)\/sqrt(5)))*-3.\nAnswer: 12 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qeq when three letters picked without replacement from qeqqqqqq?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256869 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*m + 10*m**2 + 0*m**2 + 168 + 165 - 333.\nAnswer: 10*m**2 - 35*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -157 - -1733\/11. Let t = 42 - 297\/7. What is the second biggest value in -1\/3, t, o?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 - 4*z**2 + 3*z**2)*(3 - 2 + 1)*(14 - 2 + 13).\nAnswer: 200*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2016 and 3584.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/18 - 5\/(-30). Suppose o*t - 32 = -4*t. Calculate the lowest common multiple of t and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6438343\/6 smaller than 1073056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1494)\/(-9462) + (-126)\/(-285).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-8)\/600*((750\/190)\/(-25))\/(-1)\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-10))\/(11\/55). Find the first derivative of -260*r**2 + 443*r**2 + 180 - 218*r**w wrt r.\nAnswer: -70*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3607 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -173848 - -16341523\/94. Let z = 24\/47 + j. Which is the nearest to 2? (a) z (b) -3 (c) -0.4 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1451070 and 1800?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*p + 54 = -196*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1356361480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 l when three letters picked without replacement from {s: 14, l: 4}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 5, 0 in descending order.\nAnswer: 5, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 19*k**2 + 17*k - 18. Let r be c(-18). Let d(j) be the second derivative of j**3\/6 + 5*j**2\/2 - 11*j. Calculate d(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 - 6*u**2 - 10*u + 11. Give w(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -4. Suppose c*s - 12 = 4*s. Solve -2*t = -4*z - s, -6*z = -3*z + 4*t + 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v = 164. Let n = v - -72. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**2*m**2 + 17*j**2*m + 95*j**2 - 54*j*m**2 + 3*m**2 wrt m?\nAnswer: 4*j**2 - 108*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 211, -7, -12, 5, 0 in descending order.\nAnswer: 211, 5, 3, 2, 0, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 2*x - 12, -2*k + 0*x + 2*x - 6 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, t: 3, y: 4, d: 4, f: 1}. What is prob of sequence fyyy?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -1\/2, -2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a - a + 2*a + (-3 + 4 + 4)*(a + 0 + 0) to the form x*a + k and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.098, 13, -0.1, 132 in increasing order.\nAnswer: -0.1, -0.098, 2, 13, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 715 - -385. Suppose r - 3*r = -m. What are the prime factors of r?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 3, 7, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1621*a - 1621*a + 5*a**3 - 29*a**2.\nAnswer: 5*a**3 - 29*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24868\/46075 + 1\/3686. Let r = -1\/25 + l. Which is the closest to 0.2? (a) r (b) 12 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6788453 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 693 + 701 = 0. Sort h, -5, 0, 1\/17 in increasing order.\nAnswer: -5, 0, 1\/17, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764 is divided by 243.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 12. Determine k(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -7. Let 0*x**2 + 3*x**4 + 2*x**d - 2*x**4 - x - 2*x**2 - 3 - x**5 + 4 = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, 1, -8045 in descending order.\nAnswer: 1, -109, -8045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 55.\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.82 + 2.41. Let i = -0.41 - l. What is the closest to -6 in 0.5, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 233 = 2*m + a, 124 = -m - a. Are m and -121 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eilgt. What is prob of sequence giel?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7256 and 3356.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.6 + -51.6. Let f = j - -44.3. Let m = -5 - 2. Which is the biggest value? (a) 1 (b) m (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/114 and 39\/24740432.\nAnswer: 74221296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/140 - -3 - (-590)\/(-413))\/(-1).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i*m**3*n - 4*i*m*n + 425*i*n - 23*m*n wrt m.\nAnswer: 3*i*m**2*n - 4*i*n - 23*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238496744.\nAnswer: 2, 4481, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 335163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/8, -0.5, -57, -2\/7?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175492385769 + -9.\nAnswer: -175492385778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1 + sqrt(171) - sqrt(171)) - 3*(1 + sqrt(171) - sqrt(171)))**2*-6 + (2 + sqrt(171) + -1 - (sqrt(171)*4 + -4)) + 2.\nAnswer: -287 - 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -155*10\/(-700) - 2\/(-7). What is the second biggest value in k, 4\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (25 + -10 - 7) - (1 - -6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4 - 2. Let l be -6*1*o\/(-2). Solve -3*i = 3*v + 15, l*v - 2*v - 7 = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**2 + 9 - m**2 + 2*m**2 + 10*m + 2*m**2. What is the tens digit of p(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46469651782 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*v + 3*p - 9 = 0, 0 = -2*v + 5*p - 15. Suppose v = -28*o + 93486 + 195278. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025 divided by -6?\nAnswer: -1025\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14.28589 - -14.2. Let w = -5.08489 - b. Let g = w + 5. What is g rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 606528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -566130 divided by -30?\nAnswer: 18871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1785*l + 1649*l = -8296 for l.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287926 is divided by 1358?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*w - 65, -t - w + 2 + 3 = 0. Let j = 2 - 2. Suppose -q - 1 + 3 = j. Calculate the lowest common multiple of q and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4919409362.4076 - 5004185.2924. Let f = -4924413251.70000179 - z. Let y = f + -296. What is y rounded to 7 dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/26 and (-22)\/6*(-3)\/(-13 + -5).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j + 8*j = -7*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29372 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441583?\nAnswer: 29, 15227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3*c + 0)*(-c + 2*c**2 + c)*(3*c - 2*c + 0*c) + 3*c**4 + 76 - 76 to the form r*c**2 + j + i*c**3 + z*c + t*c**4 and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 49 and 23275\/484 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 403 - 191. Calculate the highest common divisor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5368215 is divided by 1789389?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 33.3 and 67891049590?\nAnswer: 67891049556.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khkhhkkhhk. Give prob of sequence kk.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44396838 to the power of 1\/2, to the nearest integer?\nAnswer: 6663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 - q**2 + 0*q**2 - 4*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (264\/(-3))\/2. Suppose 0 = -6*s + 9*s - z. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/9 of a day in minutes?\nAnswer: 3520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1091 - -1090. Let o(i) = -i - 11. Let h be o(-6). What is the nearest to p in -1\/6, h, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2043*a - 2 - 2046*a + 2.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*y**2 - 11*y**2 + y**2 to g + i*y**2 + m*y and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**5\/60 + 43*l**3\/2 - 2*l**2. Let n be d(0). Suppose -4*m - n = -7*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -287039, -20, -19, 1 in increasing order.\nAnswer: -287039, -20, -19, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -272616, -545228, -817838, -1090446?\nAnswer: -1363052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 1448160*i**2 - 131000523600*i + 13114537960000.\nAnswer: -4*(i - 100)*(i + 181070)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a5 (base 14) in base 8?\nAnswer: 1641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375*l + 461*l + 342*l - 1521*l + 336*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 a, 1 l, and 1 t when four letters picked without replacement from {s: 3, t: 5, y: 3, l: 4, a: 4}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18000 and 4050?\nAnswer: 162000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13714 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 60433?\nAnswer: 3\/60433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -141401 (base 10) to base 13\nAnswer: -4c490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2428 divide 40630152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*r + r + 1056, r = -4. Calculate the least common multiple of (3\/6)\/(2\/80) and -1 + c\/(-14) - 157\/(-1099).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 160 = -3*s. Let w be 28\/s + 1\/(-1). Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -171078 + 170882.058. Let w = s - 0.058. Let m = w + 195.9999863. What is m rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - (-3 - 11)) + (30 - -18)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17*2\/(-51))\/(1\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -62*t**3*x - 175*t**3 - 2*t**2*x wrt x?\nAnswer: -62*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222*g - 26485 + 21993 = 84308. Suppose -33 = -4*k + 31. Calculate the highest common factor of g and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 11 - (14 - 6 - -2)) + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-312) - ((-47)\/84 + (-3)\/(-9))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 1. Let x = 1 - 2. Let s(t) = t**3 + 2*t**2 + 3*t - 2. Let j be s(0). Which is the nearest to x? (a) l (b) j (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -3 (c) 2 (d) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.021074 to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 2. Suppose 7*o - 540*o + 612 = 79*o. What is the greatest common divisor of o and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -1\/30*z**5 + 7\/60*z**6 - 2\/21*z**8 + 0 - 3*z**2 + 0*z**3 - 8\/105*z**7 + 0*z + 0*z**4. Factor m(d).\nAnswer: -2*d**2*(d + 1)*(4*d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (103 - 28) + -32 - 9.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 11:50 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1276 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 94092 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3913 + -9087. What is i rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -v - 11. Let f be (-2)\/v + (-74)\/(-26). Let n(i) = -f*i + 8*i**2 + 3*i. Let g(w) = -w. Calculate g(n(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*h = -122 + 554 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 431400 and 1500.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, f: 1, q: 2}. What is prob of picking 1 q and 1 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87\/(-9)*(-3)\/((-19)\/722*-19).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2 = -u - 0*d, -3*d = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4009 - 5?\nAnswer: 4004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004539976279 to seven decimal places.\nAnswer: 0.000454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -15. Let t be (-3)\/(24\/50) - o. Let u = t - -9\/2. Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 10. Suppose w - 3*z = -4*w + 54, w - 2 = 5*z. Calculate the remainder when y(w) is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -10*m - 16. Let j be f(-16). Calculate the highest common factor of 18 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*(-10)\/8*168\/(-70).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 776850 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1204201303 (base 6) to base 12.\nAnswer: -4699233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2384124?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**3\/3 - 286*o**2 - 2258. Let t(r) = 14*r. What is t(a(p))?\nAnswer: -14*p**2 - 8008*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16339464 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhhhh. Give prob of sequence hh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48316)\/4042 - (2 - 2 - 16) - (-8)\/(-2).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 + 7*g - 3. Let a(l) = 4*l**2 + 11*l - 6. Let d(u) = 17*u**2 + 46*u - 25. Let v(m) = -9*a(m) + 2*d(m). Calculate -4*q(k) - 3*v(k).\nAnswer: -2*k**2 - 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 + -603\/7. Suppose 0*b - 197 = -3*k - b, 0 = k - 5*b - 55. Let w be (-39)\/k*10\/(-12). What is the nearest to w in 2\/29, -1\/10, o?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, t: 1, x: 1}. What is prob of sequence ux?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -0.04, -2, 7\/19?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/6 + 7\/3. Suppose 4*q = -2*b + 18, -6*b + b + 27 = q. Let c(m) = -1 - 3 + b - 2*m. Give c(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 3*n + 55, 298*b + 3*n + n + 94 = 312*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17366, 17362, 17356, 17348?\n\"Answer: -h**2 - h + 17368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5451 (base 8) in base 16?\nAnswer: -b29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21838172.\nAnswer: 2, 2083, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/5 in -3\/7, -1\/7, -3\/44, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16250?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2602, -2604, -2606, -2608, -2610, -2612?\n\"Answer: -2*z - 2600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5707997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3*n**2 - 5)*(2*n - n + 0*n)*(4 + 0 - 3)*((-31 - 15 + 20)*(0*n + 11*n - 4*n) + 1 - 2*n - 1) to m*n**2 + j*n**4 + l*n**3 + g + z*n and give j.\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/85 - 93\/680. Which is the second biggest value? (a) -2\/5 (b) y (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -11*u**6\/120 - u**5\/30 + 169*u**3\/6 - 337*u**2. What is the first derivative of n(t) wrt t?\nAnswer: -33*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 450910*g**6 - 2*g**3*z - g**2*z - 12223*z wrt g.\nAnswer: 54109200*g**3 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 5*d - 1. Suppose 16 - 3*p**2 + 3*p**3 + 15*p**2 - p**3 + d*p + 10*p = 0. What is p?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*r = -150*r - 66 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6358, 6364, 6372, 6382, 6394?\nAnswer: 6408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 49\/376468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/5 (b) -0.12 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**8*g)\/(g*g**3*g*g)*g**(-2\/13)\/g*g*((g\/(g\/g**(1\/5)))\/g)\/g assuming g is positive.\nAnswer: g**(68\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-34 + -1)*752\/4. Round f to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 14*i - 5. Let a be c(12). Let z = a - -52. What are the prime factors of z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 125221?\nAnswer: -125213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 30 = -4*f, -4*s + 21 + 2 = f + 27 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvh when three letters picked without replacement from vhvuhvv?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p + 57. Let d(m) be the first derivative of 13*m**2\/2 - 150. Determine b(d(q)).\nAnswer: 26*q + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1827 and -3089.\nAnswer: 5643603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**10\/378000 - h**9\/75600 - h**8\/6300 + 119*h**5\/60 + 10*h**2 + 7*h. Let r(b) be the third derivative of d(b). Factor r(z).\nAnswer: 2*z**2*(z - 4)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339097.\nAnswer: 11, 29, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 17 = o. Let d = o - -19. Let r be d\/48*(-4)\/(-6). Which is the nearest to r? (a) -2\/5 (b) 1\/6 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 46 - 26. Suppose 0 = -5*f + p + 67. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 105 - 24?\nAnswer: c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, h: 3}. What is prob of picking 1 u and 1 h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 452438\/5 or 90489?\nAnswer: 90489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1250))\/(sqrt(70)\/(sqrt(63) - sqrt(7) - sqrt(7))).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1178*w - 24813 - 31173 - 72416 = 0 for w.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75911 is divided by 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.74029656 rounded to 3 decimal places?\nAnswer: -1.74","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**5\/15 - w**4\/2 - 24*w**2. Suppose k(c) = 0. Calculate c.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*t - 938*t + 410*t = -14342 for t.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**4\/24 - 4*x**2. Let m(h) = 4*h. What is m(u(l))?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1506*q**4*x - 129*q*x - 12091624*x wrt q.\nAnswer: -6024*q**3*x - 129*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2214718 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**3\/6 - 4*x**2 - 20*x - 9. Let c(z) = z**3 - z**2 - 2*z - 3. Let a be c(-2). Let i = a + 21. Determine w(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 239, 292, 341, 386, 427, 464, 497?\nAnswer: 526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.1, -4, -3, -1245?\nAnswer: -1245","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.391 + -0.179. Let u = -0.0075 + 0.5819. Let h = u + w. Round h to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 12. Give b(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 3*m + 13, 4*a - 31482*m - 12 = -31480*m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6356, 6286, 6234, 6206, 6208, 6246, 6326, 6454?\n\"Answer: q**3 + 3*q**2 - 86*q + 6438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 385234 = -2*u + 5*u, 2*u - j - 256823 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10358, 19977, 29596?\n\"Answer: 9619*s + 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (0 + -2) - (85 + -161 + 102)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9189?\nAnswer: 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 2, -222, -210 in decreasing order.\nAnswer: 4, 2, -2, -210, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41792845 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4882304233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 4*b + 2*b)*(18*b + 97 + 1553 - 16*b).\nAnswer: 4*b**2 + 3300*b","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 2212\/21 - (12\/9 + -1). Calculate the greatest common divisor of 140 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29 - -5?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9*3.15157\nAnswer: -28.36413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 2*w - 56, 4*g - 35 = w + 9. Suppose 0 = a - 0*a - g. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132013014.\nAnswer: 2, 3, 7, 3143167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-36)\/(-6) - (1 - 5) and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439995085 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.72 and 20434432346.\nAnswer: 20434432345.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7892 divided by -8275\nAnswer: -7892\/8275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, u: 11, c: 1, r: 4}. What is prob of sequence re?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3119*c**2 + 15*c - 49 wrt c?\nAnswer: 6238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2354 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-1 - 2 - -9). Let j(u) = 6*u**2 + 2*u + 5. Is j(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*y, 2*h - 4*h - y + 10 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x = -42*x + 69 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((0 + -2)\/14)\/(-9 + 8)*14. Solve -26 = 7*r + x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1327 + 1004 = 384*b - 357 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3401120 (base 8) in base 3?\nAnswer: -1201122101120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -3aa?\nAnswer: -3b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 685694.9us?\nAnswer: 685.6949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -41313 (c) 153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14165 divided by -14165?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -132784, -130692, -128600?\n\"Answer: 2092*g - 134876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 16*r**5\/5 + 10*r**3 + 2678*r + 37. Differentiate a(g) wrt g.\nAnswer: 64*g**3 + 60*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 372 + -391. Which is smaller: g or -98\/5?\nAnswer: -98\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - ((-24)\/(-4) - 2). Let d be 38 + -1 - (4 - q). Let y be ((-2)\/(-4))\/(d\/22). Which is the second biggest value? (a) y (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2570 is divided by 425?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -62*t**3 + 2*t - 1. Let a be ((-3)\/18)\/(14\/(-672)*8). What is x(a)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 243.402792 - 243.4. What is m rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 199*t + 2789. Let g be s(-14). Let z = 113 + -78. Let b be (z\/10 - g)*8. Solve -q = b*q - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5319 + 5749 = 43*r. Let j(q) = -q**2 - 2*q - 6. Let a be j(0). Let s = 4 - a. Calculate the greatest common factor of s and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - l, 4*l + 12 + 4 = 0. Let c(v) = -1 - 1 - 2*v + v + w. Calculate c(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220156 divided by 55039\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/3)\/((-4)\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7750643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwi when three letters picked without replacement from wepwwwewaiea?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 39. Put p, -2, -9 in decreasing order.\nAnswer: -2, p, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 4*z + 240. Factor 16 - z*c - 30*c**2 + 3*c**2 - 4.\nAnswer: -3*(c + 2)*(9*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/((c*c**(-1)\/c*c)\/c))**(-9\/4)\/((c**1*c)\/(c*c\/(c\/c**(2\/3)*c)*c*c))*(((c**2*c)\/c)**(41\/5))**(3\/2) assuming c is positive.\nAnswer: c**(1111\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 12 = 4*n + 7*c, -4*c = -2*n - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142611?\nAnswer: 3, 7, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*b - 7005 = -7605 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9416 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5 = -3*x, -2*f = f - 3*x - 9. Find the second derivative of -11 - 1 - 103*h**4 + 6 + 14*h + f wrt h.\nAnswer: -1236*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -1\/9*a**4 + 0 - a - 1\/45*a**6 + 0*a**2 + 1\/12*a**5 + 1\/18*a**3. Factor v(n).\nAnswer: -n*(n - 1)**2*(2*n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 1)\/(1 - 0). Suppose a = -5*m + 3223 - 908. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - q + 3*q)*(7*q + 3*q + 8*q + 1 + 2*q - 1 - 3*q + 0*q + q + (-q + 0*q + 0*q)*(3 - 3 + 1) - q + 0*q - q) + 0*q**2 + 2*q**2 - q**2.\nAnswer: -29*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**3 + 6*b**2 - 10*b - 4. What is the remainder when r(4) is divided by 32?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 times 2677?\nAnswer: -267700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25 + -0.026?\nAnswer: 0.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2483, 2, -10 in descending order.\nAnswer: 2483, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 44\/1044969?\nAnswer: 44\/1044969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -6*f - 4. Suppose 4*b - 360 = 2*b. Let x = 1258\/7 - b. Is f greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, i: 5, a: 7, r: 1}. Give prob of sequence aair.\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 6*q**2 - 10*q - 9. Let p be 72\/(-24) + -1 + 5. Let v be (p - (-15)\/(-21)) + 153\/(-21). Give x(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 28 = 8. Find the second derivative of 108*i**s + 1088*i + 1091*i + 62 - 2181*i + 18 wrt i.\nAnswer: 1296*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -23*f**6\/2 + f**3\/3 + f**2\/2 + 97*f + 10. Find the second derivative of z(n) wrt n.\nAnswer: -1380*n**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/5 - 34*u**2\/5 - 64*u\/5 + 56.\nAnswer: -2*(u - 2)*(u + 5)*(u + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 762.8635 years to millennia.\nAnswer: 0.7628635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102 and 42?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 5*a**2 - 3. Let x(k) = k**3 - 5*k**2 + k - 4. Let j(w) = -2*n(w) + 3*x(w). Let i be j(5). What is the highest common factor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 + -86. Suppose -h*r + 3*r = -616. Does 22 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.2 + 2. Let d = -234 + 29. Let u = d + 221. Is f less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**6\/80 + 17*y**4\/24 + 13*y**2. Let p(q) be the second derivative of w(q). Let b(x) = -2*x. Give p(b(g)).\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, m: 2, x: 2}. Give prob of picking 3 n.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -789501 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2578432909.\nAnswer: 13, 198340993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzthh. What is prob of picking 2 h, 1 z, and 1 t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 + 0*y**2 + 30*y**2.\nAnswer: 34*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122286 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 + 51*p**2 + p - 51.\nAnswer: -(p - 51)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -35\/2, -5, -2.3, -0.3, 18, 2\/89?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241001214 (base 5) to base 14.\nAnswer: 20c503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33690)\/10107)\/(5\/15).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y - 498. Let m(r) = 13*r. Give l(m(w)).\nAnswer: -39*w - 498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16241*n**3 + 24604 wrt n?\nAnswer: -48723*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmddmddmmd. What is prob of picking 3 d and 1 m?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 113011211 (base 4) to base 6\nAnswer: 2005445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**2 + 3*c**2 + 2*c**2 in the form s + v*c + j*c**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 209 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from cgcggcg?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/4)\/(4\/8). Suppose g*n + 15 + 0 = 0. Let d be (21\/9 + -2)*-3. Sort d, n, 0.\nAnswer: n, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249043, 498088, 747133?\nAnswer: 996178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -2 - (11 - -31) - -15?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -203.403 + 207.18. Round j to two dps.\nAnswer: 3.78","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1eda (base 15) to base 3.\nAnswer: 100020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**3 - 134*g**2 + 1325*g - 10. What is t(-53)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 1223 - 1337. Is g a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2252720935?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -11\/13, 0.06, -1668, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 17, 36, 63, 98?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6325.993282 - 6326. What is b rounded to four dps?\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*o**2 - 6 - 2543*o + 2543*o.\nAnswer: 85*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5067 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4\/15 + 4*v**3\/15 - 2*v**2\/3 - 4*v\/5 = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -472*a**2*c**2 - 273*a**2*c - 2*a**2 wrt c?\nAnswer: -944*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -5*l + 30, -39*o + 1 = 2*l - 40*o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 40. Suppose 0 = -3*i + 12, 5*f = t*i - 5*i + 8289. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 69.11676l?\nAnswer: 69116.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**3\/2 + 33*i**2 + 48*i. What is the units digit of c(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301060 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1904 + 4*r**3 + 1798 + 1800 - 7265 + 1763.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3695393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55 + -186611.\nAnswer: -186666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 69*n - 9087. What is x(132)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**2 - 10*a - 28. Let h(w) = -6*w**2 + 15*w + 44. Let v(q) = -8*d(q) - 5*h(q). Let t be v(0). Solve -5*c - t*c = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1128.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 481 + -105. Let t = m - 159. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -16*y. Let i(n) = -6*n + 14. Let c(d) = 2*d + 3 - 3*d + 2 - d. Let h(s) = 14*c(s) - 5*i(s). Give u(h(j)).\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - 203\/28)\/((-2)\/(-6)). Let y(v) = v**2 - 4*v + 1. Let g be y(4). Let u = 6 - g. Put u, z, -4\/5 in decreasing order.\nAnswer: u, z, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, r: 5, i: 7}. Give prob of sequence iwr.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95614 is divided by 155?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2578, -5163, -7750, -10339, -12930?\n\"Answer: -q**2 - 2582*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -43*n**3 - 3*n**2 - 2*n. Let z be m(-2). Let o = z + -317. Let w = 4 - 2. Solve u + 3*k = 11, -k = -5*u + w*k + o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(-3))\/((-33)\/99). Sort 4, t, 2, 6 in ascending order.\nAnswer: t, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*u = 4*u + 4757, 2*y - 2*u = 1898. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 877.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5 times 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 131086?\nAnswer: -5\/131086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 199692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 + -72 + (0 - (-1 + 19)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 555.4234 decades to months.\nAnswer: 66650.808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*h + 19. Let t(n) = -n**3 + 8*n**2 - n + 8. Let v be t(0). Let j(i) = -2*i**2 + 18*i - 12. Let w be j(v). Solve -w = -h*l + l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.2, -16, -2\/13, -25 in decreasing order.\nAnswer: 3, 0.2, -2\/13, -16, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11406, -11396, -11386?\n\"Answer: 10*w - 11416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 146379, -1\/2, -0.1, 0.01 in decreasing order.\nAnswer: 146379, 0.01, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n**5\/13 + 1568*n**4\/13 - 99856*n**3\/13 - 172388*n**2\/13 + 99862*n\/13 + 13140 = 0.\nAnswer: -5\/3, -1, 1, 117, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + 2*n**2 + n - 7*n + 6*n**2.\nAnswer: 8*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 166 - 174.23. Let s = h + 7.8. Let o = s + -0.17. Is 0 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108799603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.3856 rounded to two decimal places?\nAnswer: 8.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 31.5. Let y = 6.8593968 + -4.359396. Let k = y + c. Round k to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 1\/4, -0.4, -1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -11*q + 11. What is p(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.17363 litres in millilitres?\nAnswer: 5173.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/2870 and 3\/6160.\nAnswer: 252560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-3))\/(-4*2\/24)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9565.\nAnswer: 5, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 22 = -21. Let c(j) be the first derivative of -5*j**2 + 1. Determine c(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*j - 8. What is the units digit of (j - -1)\/((-4)\/36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, h: 1, q: 1, i: 10, v: 2}. Give prob of picking 1 i and 1 v.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 4*u**2 + 6*u - 3. Let y be p(5). Let d(m) = 1 - 7 + 26*m**2 - 27*m**y - 3*m. What is d(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -890 + 892. Sort l, -32, 0.\nAnswer: -32, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 321398\/(-58436)*(-17)\/(-22).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or -36?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 4*v + 3 = -2, 38*j + 3*v = 42*j - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3255*h**3 + 3119*h**3 - 57927*h + 57927*h.\nAnswer: -136*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -5. Suppose 2 = 4*l - 2*l. Suppose k - g = -l. Solve -a - 15 = k*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**6 + 4*q**4 + 11*q**3*z**3 - 38*q**2*z**3 - 11*q*z**3 wrt q.\nAnswer: 240*q**3 + 96*q + 66*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-5*sqrt(77)*-2 - -5*(sqrt(77) - (sqrt(77) + (sqrt(77) - (sqrt(77)*2 + sqrt(77))) - sqrt(77)))))\/(-3*sqrt(11)*5 + sqrt(1584)*-2))**2.\nAnswer: 109375\/1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y\/y**7)\/y*(y\/(y\/((y*y\/y**1)\/y)))\/y)\/(((y**(-1\/6)\/y)\/y)\/((y**(-5)\/y)\/y))*((y**(-1))**(3\/14))**(-3\/20) assuming y is positive.\nAnswer: y**(-8233\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-33)\/77 - ((-30)\/5 + (-103911)\/7) a multiple of 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 112\/(-21) - -7 - (-29143)\/3. Suppose -23849 = -5*r + 2*s, -5*r + 5*s = -14139 - o. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/153 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223120 + 2?\nAnswer: -223112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j**3*s + 316011976*j**3 - 40964235*s**3 wrt s.\nAnswer: -j**3 - 122892705*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*w**2 - 41*w + 41*w)*((0 + 0 - w)*(5*w - 4*w + 0*w) + 5 - 5 - 2*w**2).\nAnswer: -78*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2177 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -359, 171, 701?\n\"Answer: 530*m - 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**4 + v**2 - v + 2. Let n(l) = 11*l**4 + 755*l**3 + 12*l**2 - 6759*l + 24. Let x(p) = -n(p) + 12*s(p). What is the second derivative of x(j) wrt j?\nAnswer: 12*j**2 - 4530*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1032 + -113201022?\nAnswer: -113133330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3282 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**4 + u**5 - u**4 + 0*u**4 + (-17 + 17 - 13*u**3)*(0*u**2 - 3*u**2 + 5*u**2).\nAnswer: -25*u**5 + u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1000001 (base 2) to base 9\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**4\/24 + m**3\/2 - m**2. Let j be o(-3). Let c(n) = 3*n - n**2 + 4*n - j*n + 11. What is c(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1095172 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -10110101010?\nAnswer: 10110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2)\/6 - 88272\/(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*o - 73*o - 66*o + 266*o - 68*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -8. Let o(j) = -2*j + 0*j + 0*j + n. List the prime factors of o(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4881, -9800, -14719, -19638, -24557, -29476?\nAnswer: -34395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 1, y: 3, l: 2, n: 1, m: 3}. Give prob of picking 2 y.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 121350 + -83070. What is t rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(-22)*s*s))\/s)**(-31\/4)\/(s**(-2\/17)\/(s*s*s**(-11)\/s)))**(-16) assuming s is positive.\nAnswer: s**(44848\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -25, 1009028\/11 in ascending order.\nAnswer: -25, 2, 1009028\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a microgram in nanograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g + 10. Suppose l - 10 = 3*n - 0, -l - 3*n - 8 = 0. Let r(t) = 0*t + 0*t - t - l. Let m(h) = i(h) - 2*r(h). Differentiate m(d) with respect to d.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 11 (b) 0.5 (c) 229\/31 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2638, -10547, -23728, -42181, -65906, -94903?\nAnswer: -129172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/465 and 13\/310.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91*(-76)\/1216*-16.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 4*a**2 + 1. Let k(o) = -37*o**3 - 2*o**2 + 3*o - 1. Let h be k(1). Let x = h + 48. Let f(n) = -5*n + 58. Let l be f(x). Give y(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from gxgxbgg.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.97 + -5. Let m = 0.17 - w. Let j be 3 + 9 + 1264\/(-104). What is the smallest value in m, j, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 + -158 + (-2 - (8 + 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 0 - (1 - 4 - 7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2260601 and 11362.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*sqrt(11)*4.\nAnswer: -48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9509\/8 - -1187. Find the common denominator of -87\/2 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310752 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0443 from 7.28387.\nAnswer: 7.23957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2. Let g(r) be the second derivative of 17*r**4\/24 - r**3\/3 - 59*r**2\/2 - 33*r. Let v(t) be the first derivative of g(t). Give v(j(b)).\nAnswer: 17*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/22)\/(1975\/(-4345)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.53053 millilitres in litres?\nAnswer: 0.01453053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 577 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**4 - 14*i**3 + 102*i**2 - 3*i + 7250 wrt i?\nAnswer: -12*i**2 - 84*i + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + 0*v + 3*v + (-299*v + 523*v + 462*v)*(-4 + 2 + 5))*(2 - 2 + 2*v) as y*v + g*v**2 + o and give g.\nAnswer: 4124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/((-783)\/90)*(-3)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 215239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 379.104l in millilitres?\nAnswer: 379104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193064 = 3*g + 30305. Suppose 22 + 3 = 5*i. Suppose -g = -i*f - 1454253. Round f to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b + 11*b = 20925. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q + 2. Suppose 5 = 8*t + 37. Calculate d(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19964 = -2187621*b + 2187943*b for b.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 4\/3 (c) 8\/33 (d) 7\/3 (e) 997 (f) -4\/9 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*j = 10. Suppose -j*g + 4 = -10. Solve -2*s - 1 = -g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-4 + 6 - -3 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/(-91)*(-9 + 44)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -61dc74c7 + 4?\nAnswer: -61dc74c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 500769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -242, -69, 3\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 49 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 5*m**2 + 3*m - 11. Let l be j(5). Differentiate -12 + l*t + 0 - 4 wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.13*-1390999\nAnswer: 180829.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bs when two letters picked without replacement from {x: 1, i: 6, b: 1, s: 1, q: 6}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -5\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**3 - 128*u**2 + 3240*u + 23616 = 0.\nAnswer: -82, -6, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 9*c - 284 = 0. Let t = -66 - c. Let o be (t\/3)\/((-13)\/(-117)). What is the highest common divisor of 105 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50449 to the power of 1\/2, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3537 divided by -27?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17873 and 55670.\nAnswer: 3395870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -23*t**2 - 4*t + 1. Let s(m) = -m**2 - m. Give l(k) - 4*s(k).\nAnswer: -19*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 13*f - 5. Let m be j(-12). Let q(x) = x - 3. Let n be q(m). Calculate the greatest common factor of n and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 4*p + 1 - 4\/3*p**3 - 5\/2*p**2 - 1\/4*p**4. Is b(-4) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 10*f**2 - 9*f + 5. Suppose 4*h + 11 = 5*h. Let i be m(h). Is 6 a factor of i - (8 + -3 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 773414519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**7\/105 + 11*v**6\/20 - v**4\/12 - 25*v**3\/6 - 174*v**2. What is the second derivative of g(o) wrt o?\nAnswer: 24*o**2 + 396*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - 5*r + r - 1 + 1 - r + (-1 + r + 1)*(-2 + 3 - 3) + (-2*r - 2*r - 2*r)*(0 + 10 - 3).\nAnswer: -48*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138321861.\nAnswer: 3, 46107287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 4. Let v be n(0). Let m be 4\/8*(-10)\/(-2)*38. Let a = m + -94. Let j(o) = -o**3 - 4*o. Let h(x) = x. Give a*j(p) + v*h(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-7 - -9) + 340\/(-70))\/(8\/(-2660))?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 3.8 (c) 127 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 31?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 - u - 2*u**2 + 2*u**3 + 0*u**2 - u**2 as c*u**3 + a + v*u**2 + h*u and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7*w**3 - 2*w**2 - 2. Does 13 divide n(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 4. Suppose 5*b = 2*s + 9, 2*b - q = -4*s + 16. Suppose -153 - 171 = -s*r. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7156811\/6 <= 1192802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*g + 163*g = 4683. Let s = g + -745. Is s a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.044.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyisayiiaiia. What is prob of sequence asua?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-10)\/(z*z*z*z*z*z**(2\/35))*((z**(-2\/5)*z)\/z)**33 assuming z is positive.\nAnswer: z**(-989\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2757139*c**4*i**2 - 3*c**2*i**2 - 2*c**2*i + 19*c*i**2 - 32*c + 2*i**2 wrt c.\nAnswer: -66171336*c*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - k + k)*(-2 + 5 + 4)*(-3 + 3 + 1)*(78 + 85 - 16).\nAnswer: 2058*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**3\/6 + d\/2 + 19. Suppose u(w) = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 4*j + 10*j**2 + 5*j.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/33 < -0.07763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6878543823 take away 2666?\nAnswer: -6878546489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580430 is divided by 283?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3198219611 to the nearest 100000.\nAnswer: 3198200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 713 - 716. Let p be (((-18)\/(-12))\/t)\/((-30)\/(-8)). Which is the third smallest value? (a) -0.3 (b) p (c) -1\/2 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 3*g. Let v be h(3). Let u(y) = 2*y**2 - 4. Let w be u(3). Suppose v = 4*l - 242 + w. Round l to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 190 = -3*b + 2*b, -3*h = -2*b - 545. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2930 and 394358662.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 22 = -2*l, 13*v = -4*l + 14*v - 9. Let n(g) = -g + 1. Let m(x) = -x**2 - 3*x + 1. Determine l*n(z) - m(z).\nAnswer: z**2 + 4*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 4. Let b be d\/(-20) + 12\/(-20). Sort 1, b, 2\/7 in descending order.\nAnswer: 1, 2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + o + 8, -32059*z + 17 = -32060*z + 2*o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/6, 174.33, -2\/5, 1 in decreasing order.\nAnswer: 174.33, 3, 1, -1\/6, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4382 - 6867. Let q = 8915 - l. What is q rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 smaller than -67\/236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 - 33 = -h. Let b = h + 197. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -2\/5 (c) 2748 (d) 6 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/6)\/((-1)\/12). Suppose i + 2*a = 18, -3 - 1 = n*a. What is the units digit of 45 + 5\/(i\/16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -130\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11719 or 11699?\nAnswer: 11719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 + -6. Suppose -4*t + a - 19 = 0. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 1218*i**2. Let c(l) = 2*l**2. Give h(c(w)).\nAnswer: 4872*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185838*s = -185856*s - 1332 for s.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/30*-1*2. Let q = -53 - -28. Let u be (-5)\/q + (-32)\/35. Which is greater: t or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 12, u: 7}. What is prob of picking 2 u?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*x - v, 133*v - 129*v - 3 = x. Solve 31*u = x*u + 42 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/4, 1\/6, -3\/8, -78 in ascending order.\nAnswer: -78, -2, -3\/8, 1\/6, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 152 and 872.\nAnswer: 132544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 33\/(1 + -2) - 2. Let n be -1 - (2 + i\/10). Suppose -3 = -2*u - 3*h + 6, 4*h - 20 = 0. Which is the biggest value? (a) n (b) 0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*n = 0. Suppose -b - b = n. Solve b = 3*q - 11 - 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 151*o + 570 - 570 in the form u*o + f and give u.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 5*d + 5*t = -13, -2*t - 8 = 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**2\/4 + 66519*a\/8 - 12474 = 0.\nAnswer: -11088, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -786*n + 2*n**2 + 273*n + 3*n**4 + 20 + 3*n**3 + 236*n + 276*n as o + u*n**3 + v*n**4 + q*n + a*n**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4048 = -328*s + 336*s. List the prime factors of s.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 143\/4 + 2\/8. Suppose r - 40 = 3*f, 3*r = -f - g + 166. What is the remainder when r is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.31413 to 2 dps.\nAnswer: 1.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5648 - -5644. Let b(l) = 3*l**3 + 2*l - 1. Let x(y) = 8*y**3 + 6*y - 2. Determine m*x(w) + 11*b(w).\nAnswer: w**3 - 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) -8 (b) -1\/3 (c) -1\/2 (d) 7\/5 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.3578cm to nanometers.\nAnswer: 463578000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*i - a - 15, -16 = 2*i + 4*a. What is the second derivative of -395*v**i + 355*v**2 + 192*v - 34*v wrt v?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(143))\/((sqrt(121) + (sqrt(121) - ((sqrt(121) - sqrt(121)*2) + sqrt(121)) - sqrt(121)))\/sqrt(11) + sqrt(11))*5.\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 10*h + 17. Let v be n(-8). Let q(z) = 2*z - 3 + 2 - 2*z + 2*z - z**2. What is q(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 149306568.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1074 + 693. Let p = -136062\/77 + l. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (68 - 95) + (-1 - -14). Let o(m) be the first derivative of m**4\/4 + 5*m**3 + 5*m**2 - 15*m + 1. What is the tens digit of o(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-147)\/1225)\/(111\/(-10)))\/((-7)\/35)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71735?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -26\/11 (c) 8\/3 (d) -22 (e) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*u + 25*u + 99*u)*(-5*u + 0*u + 3*u) - 7*u + 7*u + 17*u**2.\nAnswer: -285*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x. Suppose -h = 4*q - 6, 5*h + 6*q + 60 = 4*q. Let i be (-63)\/h*6\/9. Let s(j) = i*j - j + j - 4*j. Give d(s(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 9*z - 5. Let f(x) = 11*x - 9. Let w(a) = 21*a - 18. Let d(k) = 13*f(k) - 6*w(k). Suppose 5*j + 36 = -3*b, -b + 5*j - j = -5. What is b*l(c) + 4*d(c)?\nAnswer: 5*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h + 1 - 5*h + 2*h - 2.\nAnswer: -9*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*m - 2*g - 5*g = -60*m - g + 85, -2*g - 415 = 79*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 9*p - 6. Which is the closest to -0.1? (a) 0.2 (b) 12 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(-15)*348\/4 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*k + 2. Suppose k*y = y. Suppose 16 = -q + 4*o, y = 5*q - o - 0*o + 4. Which is bigger: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -8*r**3 + 3*r**2 + 30*r + 27. Is o(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 15 = 0, -5*r + 0*b + 3*b + 25 = 0. Suppose -l + 2 = 1. Let v = l + 31. What is the highest common factor of v and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -1.13, -338, 0.5.\nAnswer: -338, -4, -2, -1.13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*g**2 - 244*g**2 - 84*g**2 + 17*g**2 + 48*g**2)*(3 - 3 + g).\nAnswer: -315*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 8 + 2. Let g(n) be the first derivative of -660002*n**3\/3 - n**2 + 4*n - 81. Let o be g(y). Round o to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86768464 or 86768462?\nAnswer: 86768462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 17*m - 2. Let c(i) = -425*i + 51. Let n = 1119 + -1068. Calculate n*o(h) + 2*c(h).\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)\/t**5*t**(-3\/16)\/((((t\/(t*((t**(-1\/36)*t)\/t)\/t))\/t*t)\/t)\/t))**(-24) assuming t is positive.\nAnswer: t**(1615\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-4)\/(-24)*-8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyyyyyyymyyyyyymyy.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7*j**2 + 6*j - 7. Let y be (-2)\/(1\/3*-2). Let l(t) = 4*t**2 - 3*t + 4. Let z(v) = y*f(v) + 5*l(v). Calculate z(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*g - 506 = 24*g. Let p be ((-6)\/(-10))\/(5\/(-50)) + g. Solve 18*i = p*i - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 11:33 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -47. Which is smaller: k or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - (sqrt(343) + 3) - 4*sqrt(63).\nAnswer: -18*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 - -3)*(-2)\/18. Let h(f) = -f - 2. Let v be h(-1). Which is bigger: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 450*i - 883. Determine v(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 127. Let s = 620.655833 + -522.65573. Let j = s + h. What is j rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, a: 9, j: 6}. What is prob of picking 2 d and 1 a?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 1\/60*v**5 + 1\/24*v**4 - 3*v + 0 + 3*v**2 + 1\/2*v**3 - 1\/120*v**6. Let j(h) be the first derivative of s(h). What is j(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 23 = -5*g - 22, -2*m - 31 = 3*g. Let k = 13 + g. Is (26\/k)\/(2\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15316 + -15311. What is the nearest to -425 in -3, p, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - f**3)*(3309 + 3154 - 3529) + f**3 + 8*f**2 - 8*f**2.\nAnswer: -2933*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1331100323 + 21300?\nAnswer: -1331013023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x - 4. What is l(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 15*o - 24. Suppose -o*v + j = 2*v - 37, -20 = -4*v + 4*j. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 205 and 210.\nAnswer: 8610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9209431277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -43. Suppose 25 = 5*z, 0 = -w*c - 2*z + 1 + 33. Sort 1, -3, c in descending order.\nAnswer: c, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 498.8829 kilograms?\nAnswer: 498882900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 9*t**2 + 5*t - 25. Let k be h(-17). Let q = k + -1591. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3\/2 + 588*k**2 - 124362*k + 7334712 = 0.\nAnswer: 126, 924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3077910 rounded to the nearest 10000?\nAnswer: 3080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3919240 and 20771972.\nAnswer: 207719720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -476*q**6 - 1288*q**5 + 1607*q**2 - 4*q?\nAnswer: -57120*q**3 - 77280*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 28989*b + 233604. Give f(-8).\nAnswer: 1692","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3667 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12680619 is divided by 667400.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*d - 1 - 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 47 = -2*b + 51, 0 = 2*g + 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -30. Let v(t) be the first derivative of -1\/2*t**2 - 3 + g*t. Determine v(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = -5*i + 92 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 3. Suppose -16 = -a - v*a. Let c(q) = -258*q + 4644. Let r be c(18). Solve 2*h - 3*h + a = r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 16, 731*p - 728*p = 26*c - 0*c + 116 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + (-3*sqrt(130)*1 - sqrt(130) - sqrt(130)))*6)\/(sqrt(40)\/sqrt(4)*6 - sqrt(10)*-2*5).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-14))\/((-2)\/7)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**2 + 1227*l = 0. What is l?\nAnswer: -409, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.25 - 3.69. Let z = 3.939998915 + y. Round z to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2 + 12*d + 6. Let n(q) be the second derivative of q**4\/12 - 2*q**3\/3 - q**2 + 403*q. Determine 3*k(l) + 8*n(l).\nAnswer: -l**2 + 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10 - 46 + 8*p**2 + 24*p**2 + 12 wrt p.\nAnswer: 64*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(2 + (-18)\/10). Let a(s) be the first derivative of -s**3\/3 + 7*s**2\/2 - 7*s - 9. Let h be a(l). Solve -h*z + 0*z + 2*c = -7, -2*c + 17 = 5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211101100022 (base 3) to base 15\nAnswer: 8a812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - u + 12 - 13 = -12, 8*u = 7*u + 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1475*7\/((-28)\/8). Let b = 14850 - d. What is b rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6752115.8 rounded to the nearest one hundred thousand?\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 4. What is s(18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.555 and 244.7.\nAnswer: 244.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -1)\/(3\/(-9)). Suppose -5*q + 37 = x*u, -7 = -5*q + 18. Is ((-187)\/u)\/(3\/(-12)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q + 7*w + 56 = 6*w, -2*q = -5*w - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -313.9375 rounded to the nearest ten?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -80 - 0. Suppose -p - l + 9 = 3*l, 10 = 3*p - 5*l. What is the highest common factor of n and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36736277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + a + 1. Let n be f(-1). Let w be 3\/(44\/(-46) - n). Suppose h - w = -3*b - 2*b, 2*h - 40 = -3*b. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.621586l in millilitres?\nAnswer: 5621.586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -141693 less than -0.01?\nAnswer: 141692.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4)\/(7\/(-42)). Suppose 9 = -p*d - 0*d. Is (1 + d)*(-149)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - -16. Suppose 9*t + 0*t = 1170. What is the highest common factor of s and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**5 + 13686*z**4 + 33*z**3 - 150600*z**2 + 246372*z - 109488 = 0.\nAnswer: -4, 1, 2, 4562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 - 1 - 429\/90 and (((-8)\/20)\/(-1))\/(4\/(-29))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -766 less than 0.021266678438?\nAnswer: 766.021266678438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 617 in 1\/4, -0.2, -2, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 5:18 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -951 times 104622\nAnswer: -99495522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q + 7. Suppose -39*y + 37*y + 6 = 0. Determine u(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 - 27*t**2 - 25*t + 6. Let d be k(-14). Suppose 5*g = -3*f + d, 14 = -3*g + 23. What are the prime factors of f?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a week in minutes?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2125*l**3*q**2 + 10*l**3*q - 7*l**3 + 423*l**2*q + 6*l*q**2 + 2*l + 16*q**2 wrt l?\nAnswer: -12750*q**2 + 60*q - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 364201*m**4 + 9*m**3 + 26530520*m**2 wrt m?\nAnswer: 8740824*m + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 14978*p**2 - 131*p + 1457. Is f(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 - 4258283*v\/4 - 6387429\/2.\nAnswer: (v - 4258286)*(v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*g**2*i**2 + 2*g**2 + 2*g*i**2 + 6*g - i**2 wrt g?\nAnswer: -46*i**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -589.1 and 786.\nAnswer: 196.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n**3 + 56*n**2 + 17*n - 12. Let v be k(-9). Put -12, v, -31, 5 in descending order.\nAnswer: 5, v, -12, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 1. Let b = -205 + 207. Suppose x = -b*d + 12, -x + 1 + 1 = 0. Solve 4*p + 5*q + 18 = 0, n*p - 14 = 5*p + d*q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2370)\/711)\/(4\/18)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 7, -16, 149?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v + 159 = u, 5*v + 2*u = -162. Let k be (-62)\/217 + (v\/(-14) - 0). List the prime factors of (282\/8)\/(k\/8).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 6177932180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-45)\/(-2)*(-41200)\/(-500). Solve 1845*p - s*p + 45 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 9.5. Let d = z - -2. Let h be (-9)\/12 + 1\/(-4). Is h greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/388153 and -41\/2096.\nAnswer: 6210448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004056692 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 + 7*p. Let z(f) = -2*f**2 - 3*f**2 + 4*f**2 + 3*f. Let d(g) = -6*o(g) + 14*z(g). Let m(t) = -2*t**2. What is m(d(x))?\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2187 divided by 134?\nAnswer: 2187\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, i: 2, k: 10}. What is prob of sequence ikki?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c. Let m be u(-8). Let j = 5 + -3. Let g = j - m. What is the greatest common divisor of g and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 28975 = -2*h, -22*h - 38624 = 4*m - 17*h. Is (-61 + m)\/(1 - 2) a composite 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\/53, 3\/2, -0.3?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1 (c) -29260 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i + 6. Let r(q) = -6*q + 5. Let t(b) = 7*p(b) - 6*r(b). Let v be t(-10). Let o = 62 - 36. Solve -k - 4*k + o = -v*c, 5*c = -3*k - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 462*d + 19. Let b(z) = 692*z + 27. Give 5*b(n) - 7*q(n).\nAnswer: 226*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 60 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72597847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -222 - -351. Let a be n\/12 - (-2)\/8. Suppose -3*m - 2 = 2*o, 6*o + 2*m = o + 6. Put a, -2, o in increasing order.\nAnswer: -2, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53 - -63) + (-10 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -54, -233, -538, -975, -1550, -2269, -3138, -4163?\n\"Answer: -t**3 - 57*t**2 - t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119897.\nAnswer: 47, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbxgwwbbbjkxbggxbj. Give prob of sequence gb.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-150)\/32)\/(6\/(-14)*(-70)\/40)\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2442.2 bigger than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127 + 201. Let s = y - 10. Suppose 5*i - s - 17 = -3*b, -2*i + 4*b = -48. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 + 9 + (-32 - -40) - (-1 + -19)) + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -53f95 - -bf?\nAnswer: -53ed6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16.4754 (b) -0.5 (c) 0.22 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 9*s**2. Let q(t) = t - 596. Give l(q(x)).\nAnswer: 9*x**2 - 10728*x + 3196944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*i = 56*i + 995295. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3977\/(-984) - 3\/(-1)) + 4\/6?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 - 0.36. Let q = 0.06 + u. Let k = -37 + 75\/2. Which is the nearest to k? (a) 2\/7 (b) q (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 71, 670, 2299, 5474, 10711, 18526, 29435, 43954?\n\"Answer: 86*m**3 - m**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 0.5, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4\/5 + 4*s**3 - 4*s**2\/5 - 4*s.\nAnswer: 4*s*(s - 1)*(s + 1)*(s + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/2)\/w*w\/(w*w*w**(3\/7)*w*w*w))**(1\/45) assuming w is positive.\nAnswer: w**(-11\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.33 - 1.23. Let u = 223\/3 + -75. What is the nearest to q in 4, -6, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(4)\/sqrt(2))*-2)\/((1*sqrt(242) + sqrt(242) - sqrt(242)) + (1*sqrt(20))\/sqrt(10))*-1.\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 937111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*n**3 - 10*n**2 + 10*n**2 + (-2*n + 2*n**2 + 2*n)*(-3*n + 0*n + 2*n) + 3*n**3 - n**3 + n**3.\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 73294854311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 311951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62.782272 - 488.\nAnswer: -425.217728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g*m**4 + 2*g*m**3 - 11929*g*m**2 + 810*g*m - 1960501*m**4 + 10*m**2 wrt m?\nAnswer: 48*g*m + 12*g - 47052024*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1333 is divided by 397.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000432403 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a centimeter in millimeters?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*sqrt(272)*-2)**2.\nAnswer: 979200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/5 - (-74)\/40*4. Solve -3*c - s = -0*c + x, -1 = -c - 4*s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28589 and -69.\nAnswer: -1972641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 283 = -0*i + 3*c, 2 = -2*c. Let u = 24 + i. Let g = u - -58. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(17) - ((sqrt(17) - sqrt(17)*-3) + 3)) + ((sqrt(204) - 2*sqrt(204))\/sqrt(12) - sqrt(17)*-2*-2)**2.\nAnswer: -2*sqrt(17) + 418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/(h*h\/h**(-24))*h)*h\/(h**(-23)\/h) assuming h is positive.\nAnswer: h**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2213 is divided by 225?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**5 + 3*r**5 + 0*r**5 + (89*r - 39*r - 20*r)*(6 - 6 - 11*r**4) + 9*r**5 - r**5 + r**5.\nAnswer: -323*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 4, t: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/207310806 and 76\/241862607.\nAnswer: 1451175642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -4 (b) -2\/25 (c) -15505\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -24*-2*(-240)\/(-432)*63\/30?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3*b**2 - 2640*b + 580800 = 0.\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -14316*j**2 + 4*j + 56. Let s be w(7). What is s rounded to the nearest ten thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1589543 and 0.94939.\nAnswer: -1589542.05061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + 142*l + 939. Let f be k(-6). What is the greatest common divisor of 1400 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -1 + 9\/(-63)*28.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1198, -1215, -1232, -1249, -1266?\n\"Answer: -17*v - 1181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 15. Let a = -1.3 - -0.3. What is the closest to a in m, 0.4, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 3*r - 18 = 0, -r + 18 = -5*i - 0*r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -1236*d**2 + 16065*d + 23. What is n(13)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 3\/8 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*t - 63*t = 504. Calculate the remainder when 208 is divided by t.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/338135 and 32\/15?\nAnswer: 1014405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -122 + 238. Let w(p) = r*p - 57*p - 56*p - 1. Let d(a) = 6*a - 2. What is 2*d(s) - 5*w(s)?\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 6*x**3 - 1 + 6*x**3.\nAnswer: 12*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4))**(5\/2)*f\/f**(-15)*f\/(f\/(f**(3\/8)*f)*f) assuming f is positive.\nAnswer: f**(51\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*m + 83772 - 22425 = 3162*m - 102926 for m.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 457, 4, 5 in descending order.\nAnswer: 457, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0790895 rounded to 3 dps?\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70723740?\nAnswer: 2, 3, 5, 17, 69337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -10*y + 2*y - 6*y**2 - 2*y + 5*y. Let w(k) = 12*k**2 + 9*k. Let m(i) = -7*j(i) - 4*w(i). Factor m(v).\nAnswer: -v*(6*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*b - 94, 13 = -u + 4*b - 7. Let v be -5*5\/(75\/u). Suppose 3*m = p + 4*p + 14, -4*p = 4*m - v. Solve -5*s - 18 + 5 = -2*l, m*s = -2*l - 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, f: 14}. What is prob of sequence ufuf?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 4*j - 2*j)*(2 + 1 - 2).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14177*l**2 + 14181*l**2 - 10*l**3 + 5*l**3 + 2*l**4 - 14 + 3*l**3 to the form o + p*l**4 + h*l**2 + m*l + d*l**3 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**2 + 70*k - 124. Calculate v(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 431189.2l in millilitres?\nAnswer: 431189200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -44. What is the remainder when 41 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p. Let s(v) be the first derivative of 0*v + 2 + 1\/2*v**2. Determine g(s(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2455 = 215. What is the common denominator of (207\/22)\/(-3) + 0 and (q\/(-16))\/((-135)\/36)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -733852 and -3.9.\nAnswer: 2862022.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.92031 - -0.07969. Let z = -2 - -2.2. Let r be -2 - (-4)\/((-16)\/(-9)). Which is the second smallest value? (a) r (b) k (c) 1 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 0.1 (b) -3 (c) 23 (d) -9 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9616838 divided by -847\nAnswer: -11354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2980 divided by -745?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2*3\/(-6))*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607827171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 251, 530, 921, 1424?\nAnswer: 2039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o = 162. Let d = 32 + o. What is the tens digit of 9 + -9 + d\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -98*n + 2389. Give z(24).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15963 (b) 5 (c) -2 (d) -4 (e) -42\/13 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**6\/40 + l**5\/20 + 2*l**3\/3 - 4*l**2. Does 16 divide z(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4679203812?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**3 - y**3 - 2*y**3)*(y + 0*y - 2*y) + 2*y**4 - 4*y**4 + 0*y**4 + 9*y**4 - y**4 - 14*y**4.\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1338 - -1335. Let m(j) be the first derivative of -6 - 1\/2*j**2 + 2*j. Give m(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -38*p**3 - 13*p**2 + 14*p. Determine v(1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -144, -217, -290, -363?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19375?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 - -23. Let p = -29 - n. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9095 + 26237\/3. Let g = -350 - w. Which is the closest to g? (a) 5 (b) 0.2 (c) -2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (-5 - (-4 + 1) - -8). Let o be ((t + -7)\/12)\/((-3)\/2). Put -1\/9, 1\/3, o in descending order.\nAnswer: 1\/3, -1\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19882624*m**4 + m**3 - 59306010.\nAnswer: 79530496*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*f**5 - 123*f**4*q + 1705*f**3*q + 3*f**2*q - 17*f**2 - 43*f*q - 22*f - q wrt f.\nAnswer: 480*f**2 - 2952*f*q + 10230*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126, -132, -138?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/10 - (-13)\/(-5). Let n be (-32)\/3 - (-2)\/(-6). Let r = n - 1. Put r, 1, z in ascending order.\nAnswer: r, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*w = -174, -5*d - 94 + 484 = 4*w. Does 19 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 8) to base 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 127841.69 and -0.4?\nAnswer: -51136.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.334054 rounded to 2 dps?\nAnswer: 1.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -0.4, -1\/75, 4, 44, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43017 is divided by 943?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4667224*d**3*o*z**3 + d**3*o - 23486*d*o*z + 2*d*o - o*z**3 + 2*o*z**2 wrt d.\nAnswer: -28003344*d*o*z**3 + 6*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -209 - 176. Suppose -3*i - 532 = 3*n - 8*i, -4*n = 3*i + 690. Let p = n - d. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 244 - 6968 = -j, -3*j = -5*o + 7224. What is o rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217 + 14 = 3*f. Let y(v) = 17*v + 7. Let m be y(0). What is the greatest common factor of m and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2268\/(-864)*(-16)\/2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12807904033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 235350 rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20 - -19)\/(1\/6). Sort 4, -4, 0, o in increasing order.\nAnswer: o, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/3 and 4\/231.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = x + 5*j, 3*j = x - j - 12. Let h = x + 0. Suppose -3*l + h*d + 3*d + 72 = 0, -5*d + 150 = 5*l. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*3*(-5)\/90*-2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13720439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/7 + 6\/(-28)*6. Which is greater: 2\/183 or s?\nAnswer: 2\/183","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1007 = -18*z + 43*z + 42*z - 14*z for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 958 - 465.\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 - -41.7. Let s = 2.1 + m. Let q = -27\/2 + 13. Which is the smallest value? (a) q (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 230\/(-10) - (2 - -2). Is 4488\/27 - (-6)\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c. Let o(k) = 583648*k**2. Give o(z(w)).\nAnswer: 583648*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70*s**4 + 320*s**3 - 438259*s**2?\nAnswer: 1680*s + 1920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2\/7 + 732*t\/7 + 93960\/7.\nAnswer: -4*(t - 270)*(t + 87)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*b**4 - b**3 - b - 1\/4 - 3\/2*b**2.\nAnswer: -(b + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2\/4 - 2013*y\/2 + 4052169\/4 = 0. Calculate y.\nAnswer: 2013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -82. Suppose j = 12 - 5. Suppose j*g - g - 72 = 0. Calculate the highest common factor of h and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2. Let o(d) = 1 - 4199*d**2 + 424*d**2 + 1 - 2. Determine o(z(f)).\nAnswer: -15100*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 686737 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -478*b - 5777. List the prime factors of h(-38).\nAnswer: 3, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 6. Suppose r + 0*l + 8 = -4*l, 5*l + 40 = -5*r. Let d be v(r). Let s be (-2 - 1\/(-2))*-6. Solve s*t - 4*t = 4*n + 7, d*n + 3*t - 13 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and 0.09.\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - -1 - 6\/4. Let w = -0.3 + 1.4. Let g = -0.1 + w. Which is the nearest to -0.1? (a) h (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + s**2 - 4*s**2)*(-51*s + 36*s - 53*s)*(-5*s + 5*s + 9*s)*((0 - 4 + 2)*(5 - 2 - 2) + (-1 + 0 + 0)*(-2 - 1 + 0)).\nAnswer: 612*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*w + 11*w + 144. Let y = 107 + -53. Calculate the greatest common divisor of y and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 3*a + 8. Let u be ((-490)\/75)\/(-14) + a\/3. What is the nearest to u in 0.5, 2\/19, 2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 162 = -27*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/2))**(-4\/15)\/((x**(-2\/33)*x)\/(x**(-1)\/x)))**31 assuming x is positive.\nAnswer: x**(-5239\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 118*m**2 + 1871*m + 48. What is x(99)?\nAnswer: -942","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -197 - -206. Sort 0, -3, -5, r.\nAnswer: -5, -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1647 - -4)\/(440 + -471).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 1\/6*g**3 - 3*g**2 - 1\/12*g**4 + 3*g + 0. Calculate f(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 3:04 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -ba94 (base 12) in base 11?\nAnswer: -144a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 136, -321.\nAnswer: -321, 2, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 44*j**2 - 44*j + 57. Let b be o(43). Suppose l - 4*d = 102, -3*l + 16*d - b*d + 286 = 0. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/2)\/((103\/(-309))\/((-4)\/6)). Let k(b) = -5*b**2 + 13*b + 10. Determine k(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27648 + -21493. Suppose 0 = -g + 6*g - 179295. Let q = g - f. Round q to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 7:37 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 9621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -805, -1513, -2221, -2929, -3637?\n\"Answer: -708*p - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7558, -7523, -7492, -7465, -7442, -7423, -7408?\n\"Answer: -2*o**2 + 41*o - 7597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 7.2741?\nAnswer: 1.45482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (144\/42)\/6*7\/(-28). Let w = -21 - -20. Which is the closest to w? (a) v (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r - 109 = -20*r. Let s = r - -28. Calculate the common denominator of -101\/12 and (110\/15)\/((-60)\/s).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2076669 divided by 17451.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u**3 + 5*u**3 + 0*u**3.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5544 + 60935\/11. Find the common denominator of h and 39\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 10 = -2*j. Suppose 5*l - j*v - 39 = 0, -4*v - 22 = 2*l - 4*l. Let k(f) = f - 4. Let b be k(l). Solve -4*a + 2 = -2*o + 5*o, -b*a = 2*o - 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 3*t**3 + 2 + (4 - t**2 - 4)*(-2*t - t + 4*t) - t**3 + 3*t**3 + 0*t**3 + t**3 + 0*t**3 - 2*t**3 + (t + t - t)*(-2 + 2 - 2*t**2).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*z + 88*z + 12*q + 44 = 0, q + 32 = -3*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 110 - -222. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 49, 97, 171, 277, 421, 609?\nAnswer: 847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 225 - 149. Let r = b - 71. Suppose 0 = -3*i + 2*j - 1, r*i + 1 - 16 = -5*j. Let u(f) = -14*f**2 - f + 1. Calculate u(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-2)*(-5)\/20. Let o = 0.4 + 0. Which is the closest to -1? (a) 1 (b) w (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 7. Let p = -2 - 4. Let v = p + s. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1603?\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/((836\/(-33))\/(-76))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l. Let u(n) = -n**3 + 2*n**2 + 4*n - 3. Let j be u(3). Let p be 1\/(3\/9) + j. Let k(a) = -2*a**2 - 3*a + p*a. What is k(y(h))?\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, u: 2, e: 3, z: 4, v: 1, p: 8}. What is prob of picking 1 p and 2 z?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from wwfwyyffyyfwwywyw.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 21*d + 2. Let z be s(11). Let l be (-19)\/(-4)*(-1 + -7 - 0). Let m = 41 + l. Solve -z + m = -5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 49. Let k = y - 9. Let d be 3\/(-4)*(-3 + -1). Solve 3*b + k = -d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -68*b - 6. Let z be w(-2). Suppose 3*c + 39 = 2*x - z, -x + 4*c + 92 = 0. What is the highest common divisor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -1725*z + 12096. Give j(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 56, 88, 126?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/55 and 46\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 15 + -35 + 32.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**3 - 7*x**2 - 1. Let p be j(-3). Let u be (1*(-32)\/20)\/(p\/25). Suppose -21 = u*f - 11*f. Solve 0*o = -f*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46553779 divided by -73?\nAnswer: 637723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 16 - -13) + -34?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*y, 0*w + 3*y = -2*w - 9. Let x be (-13)\/((-65)\/10) - w. Sort x, 1, -57 in descending order.\nAnswer: x, 1, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 96\/4*(-2832)\/(-32). Let v = -973 + h. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -120*p + 124*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - (-364)\/(-112))*(-8)\/(-3). Let i(k) be the first derivative of -2\/3*k**3 + 0*k + 0*k**x + 23. Let l(j) = 27*j - 2. Determine l(i(u)).\nAnswer: -54*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*c + 127*c = -11544. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -18*z**3 + 58*z + 7. What are the prime factors of l(-6)?\nAnswer: 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -78905064 + 6?\nAnswer: -78905058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*h + 67*h - 462. Solve -h + 50 = 2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4870672.5 rounded to the nearest 10000?\nAnswer: -4870000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5916, 5918, 5920, 5922, 5924, 5926?\nAnswer: 5928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110102516 (base 7) to base 3.\nAnswer: 110102121212012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -8*n**2. Let m(h) be the third derivative of -h**4\/3 - 17*h**2 - 4*h. Give i(m(x)).\nAnswer: -512*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*a - 7*a = 18816. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 15*x - 6*x. Suppose 0 = -5*w - x*c + 4*c + 871, 3*w - 3*c - 519 = 0. Suppose 0 = 35*u - 32*u + w. Is u smaller than -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 4077?\nAnswer: 4076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4033313 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000968716 to 6 dps.\nAnswer: 0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qssqqsqsqsqq. Give prob of picking 3 s.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u**2 - 16*u + 48. Let k be l(-6). Calculate the highest common factor of 16 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlkxlukxxolloox. What is prob of sequence ku?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142 - 8 - (-15 - -6 - 10 - -39).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 4*j**2 - 46 + 0*j + 50 + 3*j. Let d(v) = 5 - 5*v - 43*v**2 + 9*v + 37*v**2. Calculate -4*d(k) + 5*x(k).\nAnswer: -k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 199, 397, 597, 799, 1003, 1209?\n\"Answer: p**2 + 195*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -30 + 10. Let j(l) = 4*l - 1. Does 7 divide j(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**2 - 5*b + 20. Let p(l) = 7*l**2 - 4*l + 21. Let t(d) = -6*m(d) + 5*p(d). Let y be t(5). What is the greatest common divisor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 1. Let n = -257 + 258. Let z(f) = -1. Calculate n*z(i) - g(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/((4\/3)\/((-8)\/12))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 944638 is divided by 1019?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 207258, -2, 14, 4 in ascending order.\nAnswer: -2, 1, 4, 14, 207258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - -2. Let y = k + -1. Does 18 divide (-1778)\/(-49) - 4\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 + 122 - (-49 - -1) - (0 - -20)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152827, -305712, -458597?\nAnswer: -611482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -351, 4, 0.4, -3, 1\/6, 2 in increasing order.\nAnswer: -351, -3, 1\/6, 0.4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/3*n**2 + 4*n**3 + 0 - 16\/3*n - 2\/3*n**4 - 2\/3*n**5 = 0. What is n?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2100 + 2002011100?\nAnswer: 2002002000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(700) + -4)*1 + (5*(sqrt(28)*3)\/sqrt(4))**2*-4.\nAnswer: -6276 - 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1883427 divided by -20697.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20898?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o + 5. Let y(m) = 3*m + 4*m + 5*m - 3*m - 7*m. Calculate f(y(i)).\nAnswer: -12*i + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -3*h + 1 + 1, -5*h + 5*x - 10 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2\/5 - 299902872*o\/5 + 5621358289615524\/5.\nAnswer: 4*(o - 37487859)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -233, 12, 4, -10 in ascending order.\nAnswer: -233, -10, -2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -u + 2*u. Is u a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2 = 10. Calculate the remainder when 17 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + -2*sqrt(475)*-5 - (1 + -4 + sqrt(475) + 0))**2.\nAnswer: 540*sqrt(19) + 38515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 864*h + 864*h - 11 + 6*h**2.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 577.573 millennia in decades?\nAnswer: 57757.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 14, o: 1}. What is prob of picking 2 c?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - 9dbc985?\nAnswer: -9dbc97f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-6) + (92\/12)\/1. Is w less than or equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -84, -107?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + -3 - -53) + -25.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2\/11, 11\/6, 2\/75, -2\/7?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, -5, -2, 65, -1227.\nAnswer: -1227, -6, -5, -2, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**3*x**3 - 38*t**3*x - 2*t**2*x**4 - t**2*x**2 wrt x?\nAnswer: 12*t**3 - 48*t**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Suppose q = 3*l - 5 - 16. Let z = 3 + l. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nuqa when four letters picked without replacement from uqnqqquqoqaqnoqqoaq?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide (6900\/9)\/((-16)\/(-120))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - -1. Suppose -2*h + 8 = -r. What is the lowest common multiple of 8 and h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 826761 (base 10) to base 3.\nAnswer: 1120000002210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 50544?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8160?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**3\/3 - 9*h**2 - 83*h - 20. Let k be r(-6). Which is smaller: -16 or k?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 5*i - 5*i)*(1 + 1 - 1) - 10 + 5*i + 10 + 2*i - 2 - 6*i + 2*i.\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -9*k**2 - 2*k + 4432. Does 19 divide u(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 1:29 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-6 + -1 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57*c**3*g**3 + c**3*g**2 - c**3 - 71*c**2 + 4*c*g**2 - 4*g**4 + 30*g**3 wrt g.\nAnswer: -342*c**3 - 96*g + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(3\/11)\/y)*y**7*y**(11\/3)\/(y**(-9\/5)\/y*y))**(17\/4) assuming y is positive.\nAnswer: y**(19907\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*v + 90*v**2 + 13 + 55*v - 12 in the form q*v**2 + h + l*v and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.4 + 8.6. Let s = o - 17. Let h be 1\/5 - (-1)\/(-5). Which is the second biggest value? (a) s (b) h (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10775 a factor of 4141857386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/1 - (10 - 13). Suppose -3*v + 4*m = 8, 10 = 2*v + 7*m - g*m. Suppose -2*n - 3*s + 9 = v, -n = 4*n - s - 48. Which is smaller: n or 11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -5. Let i = c + -6. Let m = -1.99999848 - i. What is m rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2332\/44 + -53 - 2\/4*(3 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 51\/42 - 6\/4. Let w be (4\/(-50) + 0)*5. Let o = 2.36 + 0.64. What is the nearest to o in 4, s, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((z*z*z*z\/(z**1\/z)*z)\/z)*z\/z**(-8)*(z*z**(1\/3)\/z*z)**(-10)*(z*z**(-2\/5)*z*z)**30\/(z**1\/z)**(-32) assuming z is positive.\nAnswer: z**(212\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125847 is divided by 40060.\nAnswer: 5667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4305987 divided by 63?\nAnswer: -68349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 4) to base 3\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 725 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101011 - -11?\nAnswer: 1000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 36948991 and 239496?\nAnswer: 36709495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4 = -h. Let m = 4 - h. Calculate the least common multiple of m and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, b: 2}. Give prob of picking 2 h and 1 b.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -12*c + 118. Let w be a(11). Let x(t) = -t + 1. Let l(d) = -d**3 - d**2 + 7*d - 7. Calculate w*x(v) - 2*l(v).\nAnswer: 2*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 2764719.\nAnswer: -4\/2764719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 3*p + 7. Let u be n(0). Which is greater: u or 32\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by (-81)\/(-18)*(3 + -3 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15909 divided by 6.\nAnswer: 5303\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2)*(-24)\/(-144)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 960340.2 kilograms to grams.\nAnswer: 960340200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-6)\/10 - (-1696)\/40. Suppose x = -43*n + 44*n + 3*y, 4 = -2*y. What is the remainder when 190 is divided by n?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 3*v + 3*v**2)*(-3 + 0 + 4) + (0*v - 4*v + 3*v)*(-7*v + 2*v - v).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2743*m - 37. Let i(v) = 1381*v + 19. Let u(n) = -15*i(n) - 8*q(n). Find the first derivative of u(a) wrt a.\nAnswer: 1229","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*d**2 + 244*d**2 - 3*d**3 + 6*d**3 - 4*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 72*n**2 - 5*n - 2. Calculate the remainder when d(-1) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 470\/7? (a) 8 (b) -1 (c) 1 (d) -2\/185\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -17*h**2 + 2. Let f(k) = 34*k**2 - 5. What is -2*f(v) - 5*i(v)?\nAnswer: 17*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699172?\nAnswer: 2, 47, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005236063 rounded to five dps?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -13*f**3 + 89*f**2 - 13*f. Let x(w) = -10*w**3 + 59*w**2 - 9*w. Give -5*v(m) + 7*x(m).\nAnswer: -5*m**3 - 32*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1514.2 rounded to the nearest ten?\nAnswer: -1510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63526*w + 3 + 0 + 65036*w.\nAnswer: 1510*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45965.95 centuries?\nAnswer: 4596595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -45310 divided by 9062\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**3 + 10373*s**2 - 26*s - 1250?\nAnswer: -12*s + 20746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18221422993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 y when three letters picked without replacement from mmmfomyfymymuym?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1048 and 26855?\nAnswer: 214840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 483 and 609.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5202 is divided by 734?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-16)*157\/(-2). Let m = -39 - i. Put m, 0.3, -6 in ascending order.\nAnswer: -6, m, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**6\/135 - 146*p**5\/45 + 3742*p**4\/9 - 165856*p**3\/27 + 322624*p**2\/9 + 311*p. Solve q(g) = 0.\nAnswer: 4, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**2 + 22*z**2 - 32*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t - 11. Let z(s) be the third derivative of -s**4\/6 - 7*s**3\/6 + 9*s**2. What is 5*w(q) - 8*z(q)?\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1285 - 824. Let x = o - 463. Let k(b) = 10*b + 3. Give k(x).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 - 0.18. Let t = o + -0.07. Let x = -17.8 + 18. What is the third smallest value in x, -5, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -361 and -0.2157?\nAnswer: 77.8677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6930884 to the nearest integer?\nAnswer: 2633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-5) - (-24)\/20. Let b be -2 + (0 - (-3 - -1)). Let q be (-4)\/14 + 32\/14. Solve f*o + q = -b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 14. Suppose -h*b - 1 + 11 = 0. Suppose -b*c + 52 = 12. Calculate the lowest common multiple of c and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 26*y + 46 - 47 + 74*y - 253*y - 125*y.\nAnswer: -279*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-27)\/6)\/(1\/(-2)). Let u be (4 - 39\/x)*-57. Solve 0 = -5*g + d - 13, 5*g + 0*d + u = -2*d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, 19, -2\/7273, 35?\nAnswer: -2\/7273","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 557166625 and 267.3?\nAnswer: 557166357.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -164902*w - 329808. Determine h(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.5 - -8. Let m = 3.9 - k. Let l = 4.316 - m. Round l to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/4)\/(1\/(-10)). Let p be -6 - -8 - (5 + (-288)\/18). Solve 0*w = 4*w - t*s - 14, -5*w + 4*s = -p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*v = 1, v - 3 + 13 = 3*p. Let y = -3 + p. Suppose o - 7 = -y*o. Solve 5*x = -4*n - 29, 2*x - o*n + 5 = -2*n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -628441505*r - 239031218 wrt r?\nAnswer: -628441505","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10332 + -10331.9. What is the closest to j in 2, 5, -80, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 + 203\/4. Suppose -z - 3*z - 12 = 0. Let t = -21 - -16. Which is the smallest value? (a) z (b) t (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -83 + 23. Suppose 0 = -4*g + 2*d + 44, -5*d + d = g - a. What is the least common multiple of g and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7958.46 and -0.06.\nAnswer: -477.5076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 80744899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 279458868 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5901215069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 0*b - 2*b + 4*b + 0*b. Let l(t) = -t + 2*t - 3*t - 11*t - 5*t. Calculate l(k(q)).\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 877 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: Put 2, 350, 1, -23 in decreasing order.\nAnswer: 350, 2, 1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)*s*(s*s\/s**(1\/5))\/s)**44 assuming s is positive.\nAnswer: s**(176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -76281116*r + 97137896 wrt r?\nAnswer: -76281116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -209*c*f**3 + 53347*c*f + c - 16*f**3 + 27*f**2 + 21143*f wrt c.\nAnswer: -209*f**3 + 53347*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31202 (base 8) to base 7.\nAnswer: 52461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 992254*h + 2545504 wrt h?\nAnswer: 992254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -475*m**2 - 3*m + 3*m + 0*m.\nAnswer: -475*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.2531605 to 1 decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + -40 + -4 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62810?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 12*n**3 - 10. Let i(a) = -8*a**3 + 9. Let g(p) = 5*i(p) + 4*x(p). Let f(t) = 4*t**3 + 2. Determine -13*f(l) + 6*g(l).\nAnswer: -4*l**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 521, 198, -111, -400, -663, -894, -1087?\n\"Answer: i**3 + i**2 - 333*i + 852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1629 + 2091. Calculate the remainder when q is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.074*6188\nAnswer: 457.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211010 + 207590 = -10*q. Put -26, 4, q in descending order.\nAnswer: q, 4, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 56*x**2 + 130*x - 62. What is the tens digit of b(-31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22451714053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 341, 719, 1097, 1457, 1781?\n\"Answer: -3*y**3 + 18*y**2 + 345*y - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, i: 2, y: 2, a: 1}. What is prob of picking 1 o and 1 i?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3524863988 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -7*b - 1\/4*b**4 + 3\/7*b**2 + 5\/14*b**3 + 0. Factor z(o).\nAnswer: -3*(o - 1)*(7*o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 4 - 4)*(-23 + 2 - 9)*(3*j - j - 4*j).\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 7*d - 13. Let b be f(9). Suppose -7*s - 4*y + 3250 = -b*s, 5*s - 8161 = -y. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**8\/168 - 2*t**7\/105 - t**6\/60 + t**5\/15 + 9*t**2. What is o in u(o) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 0*p + 4*p)*(6*p**2 - 3*p**2 - p**2).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3009825197 a multiple of 718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 6:18 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9821*z - 9828*z + 3*q + 17 = 0, 2*z = q + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -21, -2, -8 in ascending order.\nAnswer: -21, -8, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/1154 or 1?\nAnswer: -9\/1154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 490566?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5860?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**4 + 0*b**3 + 0*b**3 + (-3*b + 2*b + 10*b)*(4*b + 3 - 3)*(1 + b**2 - 1).\nAnswer: 38*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**2 + 2. Give u(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**5 - 3*d**4 + 3*d**4 + (-d**2 + 0*d + 0*d)*(-1626 + 1626 + 38*d**3).\nAnswer: -36*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9989063?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**4\/3 + 302*a**3\/3 - 49304*a**2\/3 + 49000*a\/3 = 0?\nAnswer: -250, 0, 1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by 3?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 426, 2 in decreasing order.\nAnswer: 426, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/60)\/(3\/(-3930)). Let q = 15202\/87 + v. Is -1 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 24*v - 1. Let x(k) be the second derivative of 5*k**3\/6 + 87*k. What is b(x(f))?\nAnswer: 120*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 8*b**2 + b + 6. Let f be c(-8). Let n be (1 - 3) + 1 - -4. Let m be n - ((-27)\/(-3) - 3). Put m, f, 0.5 in descending order.\nAnswer: 0.5, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -1\/4*p**4 - 2\/3*p**3 - 3 + 0*p + 0*p**2. What is the third derivative of z(l) wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8090508649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00064073 to 6 dps.\nAnswer: -0.000641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*10\/(35\/7)*-1*3.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**2 + b + 1. Let f be q(-2). Suppose 3*o + 3*x - f = 0, -3*x - 1 = o - 8. Let i be 4*1*790\/o. What is i rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2. Let y(h) be the first derivative of 2*h**3 + 87*h**2 - 2*h + 823. Give y(a(b)).\nAnswer: 6*b**4 + 174*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - 7 = -975. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112121 + -2110?\nAnswer: 110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -75912, -75892, -75846, -75762, -75628, -75432, -75162, -74806?\n\"Answer: 2*q**3 + q**2 + 3*q - 75918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 76*m**3 + 16*m**2 - 87*m + 35. Is n(6) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 5 + -2 + -5. Let s be 16\/6 - w\/21. Suppose -s*p = -12 - 114. Solve 5*k - 12 = 2*g - p, -2*g + k = -14 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*z - 659330 = 27*z + 271886. List the prime factors of z.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m**3 - 8*m**2. Let f(x) = 20*x**2 + 2*x**3 - 8*x**2 + 0*x**3 - 15*x**2. What is 4*a(i) - 11*f(i)?\nAnswer: 2*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + b66b7a3?\nAnswer: b66b7a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 495 and 93538280.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1581*h**2 - 6*h + 6. Let j(r) = -975476*r**2 + 3703*r - 3703. Give 3703*d(o) + 6*j(o).\nAnswer: 1587*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.0184 + 17.428335. Let x = 0.068 + 0.522. Let f = k + x. What is f rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 347\/2688 - 15\/128. Let y(b) be the second derivative of -3\/14*b**2 - 1\/21*b**3 + n*b**4 - 7*b + 0. Find m such that y(m) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34144 and 1056?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqkjkqkjjqkkqqk. What is prob of sequence qk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1717*m - 60 = 1747*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f + 200 + 44 - 28 = 0 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(2\/11))**(-8\/5) assuming v is positive.\nAnswer: v**(-72\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/7 - 61506*r\/7 - 58958168\/7.\nAnswer: -(r + 974)*(r + 60532)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2.31201 + 0.041\nAnswer: -2.27101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131\/7 + (-12)\/(-42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62950829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13707.479 + -13708. Which is the smallest value? (a) t (b) -0.09 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 731 is divided by 148?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2647156074.0000555 - -2647156696. Let d = 622 - r. What is d rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -200 - 402054?\nAnswer: -402254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 6:23 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3884 in -5, -2\/7, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 2 - (-12 - -23)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -11.9. What is the third biggest value in -0.4, l, 4\/19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -171, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 3*f = -12, 0*f - f = -5*j + 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2423457.\nAnswer: 3, 67, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(13) - (sqrt(78) - (sqrt(78) - sqrt(78)*2))\/sqrt(6))*2)**2 + -1 + -4.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -808569 (base 10) in base 2?\nAnswer: -11000101011001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - (-10 - (8 + 4 + -2))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vziiziniiiivii. What is prob of sequence viv?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 133, 407, 821, 1375, 2069?\n\"Answer: 70*w**2 + 64*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(-81) + 2\/9 - -4. Let m(k) = 15*k**2 + k. Let f be m(-1). Suppose q + f = 4*g + h, -5*q = 10. Solve -5*l - g*o - 10 - 16 = 0, 5*o = -2*l - 23 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*6\/((-42)\/7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 525 = -17*u, 3*z = -3*u + 346484 - 346394 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 9) to base 6\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2)*1)\/(28\/(-112))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-22)\/(-44))\/((-2)\/(-228)) is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 2*p. Let u be c(-1). Let g = 9 + u. Suppose -3*k + 2 = g. Let l(v) = 2*v + 2. Let q(f) = f + 1. What is k*l(m) + 3*q(m)?\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/5 + 47886*a**2\/5 + 57447*a + 430812\/5.\nAnswer: 3*(a + 3)**2*(a + 15956)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -1 + 12*j - 11*j - 211*j**3 + 210*j**3. Let u(g) = 6*g**3 - 8*g + 5. Calculate 5*b(c) + u(c).\nAnswer: c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*2*(0 - (-4)\/8). Suppose -5*b = j - 1917, -t*j + 5*b = 2*j - 9735. Suppose -5*k = -5*g - 4860, -3*k - 4*g = -5*k + j. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -15. Let q(c) = 1 - 5 - 2*c**2 + c**2 + t*c. Let h be q(3). Solve 14 = -3*f + 4*k, -h*f = -5*f + k + 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 0*k + 8*k = -d - 100, d = -5*k - 168 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*w**3 - 6*w**3 + 16*w**3 - 16 - 2*w**2 with respect to w.\nAnswer: -9*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 825\/63 - (8\/20)\/(42\/10). Calculate the greatest common divisor of i and 689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*m + 3*m = -24, -12 = 4*m. Let n be ((-6)\/q)\/(-1)*(7 + -132). Which is bigger: n or 82?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2*o)**12)**(2\/71)\/((o\/o**8*o*o)\/(o*(o**(-3\/2)\/o)\/o*o)*(o\/o**(1\/7))\/o**(-2\/15)) assuming o is positive.\nAnswer: o**(52537\/14910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + p. Let y(o) = o + 4. Let m be y(-6). Let f(r) = -8*r**2 + 6*r. Let k(v) = m*f(v) + 12*x(v). Let b(j) = -14 + j + 14. Calculate k(b(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 7.95, 3, 0.5, -2\/11, 2\/59?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38496 or -11114?\nAnswer: -38496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -5*w - 24, -s = -5*s + 4*w + 16 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 214?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37405 or -37462?\nAnswer: -37405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*m - 13, s - m - 15 = -0*m. Let d = 972 + -916. Calculate the greatest common factor of s and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*x + 7 = 0, -x - x - 4 = 2*q. Find the common denominator of 1*q - (-13)\/22 and (-2)\/(-22)*49\/(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*v = -3*s - 51*v + 186175, -3*s + 186185 = 8*v. What is the greatest common divisor of 229 and s?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/18*((-6)\/87 - (-7605)\/91350)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 617696 (base 11) to base 14\nAnswer: 1bb287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.9 and -1027.2920940391.\nAnswer: -1029.1920940391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -227 - -255. Let c = 63 - 37. What is the remainder when (-4)\/w*-723 + (-4)\/14 is divided by c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104 + -102. Let i(x) = -x. Let m be i(-3). Solve 0 = -k*l - 1 - m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minus -51986.7031?\nAnswer: 52005.7031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14513*p - 182*p**2 + 14513*p)*(-2*p**2 + 2*p**2 + p**2) to n*p + c*p**2 + v*p**4 + f + q*p**3 and give v.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -4*v + 5*m - 6*m, 120*v - 111*m + 110*m = 676 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 658402560 to the power of 1\/2, to the nearest integer?\nAnswer: 25659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, v: 1, g: 3}. What is prob of picking 1 r and 3 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/90)\/(4\/30).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**2 + 19772*f + 138502 = 0. What is f?\nAnswer: -7, 9893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**3\/3 - w**2\/2 - w + 25. Let j(p) = -6*p**2 + p - 5. Give 5*b(t) - j(t).\nAnswer: t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 994*q**2 - q - 74 + 987*q**2 - 1970*q**2. What is the tens digit of m(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 241 (base 10) to base 9\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -420.10008 rounded to 1 decimal place?\nAnswer: -420.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzpdpcpzzdzzzccdzpzp. Give prob of picking 1 z and 2 p.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7707*o + 38075. Give d(5).\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 23*u - 16. What is the remainder when 429 is divided by n(17)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1412\/(-3) - 2\/(-2). Let j = f - -493. Calculate the common denominator of 45\/2 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 12:11 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*j + 12*j - 3*j**4 + 2*j**2 - 2*j**4 in the form h*j**2 + m*j**4 + c*j + u + f*j**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 971892 and 2808.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 2. Let d(h) = -4*h**3 + h**2. Let m = -1 + 2. Let u = -2 + m. Let w be d(u). What is b(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/(-28))\/(14\/(-147)). Let n(v) = v**3 - 6*v**2 + 4*v. Let a be n(z). Calculate the greatest common divisor of 192 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -15*z. Let x(p) be the first derivative of -3*p**2\/2 - 21. Calculate o(x(r)).\nAnswer: 45*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 11:32 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z + 2. Let i(k) be the second derivative of k**3\/6 - k**2 + 320*k. What is 5*a(m) + 6*i(m)?\nAnswer: -4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1563 + 14062\/9. Calculate the common denominator of n and -121\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4848357 is divided by 48.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 283824*w.\nAnswer: 3*w*(w + 94608)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1351 - -1506243?\nAnswer: 1510624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 1\/2*x**3 + 2*x**4 + 1\/2*x**5 + 0 + 0*x.\nAnswer: x**2*(x - 1)*(x + 1)*(x + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34505499 divided by 2?\nAnswer: -34505499\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 799979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*12\/216 + (-2 - -1) - (-5246)\/2562?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 5:18 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 - 2*f**2 - f + 5. Let v(x) = -x**3 + x**2 + 1. Let z(r) = i(r) + 3*v(r). Let u be z(0). Suppose 7 = 5*j - u. Solve 0 = -0*t - t - j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/13 - 56*b\/13 - 360\/13.\nAnswer: -2*(b + 10)*(b + 18)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1217, -2137, -3057, -3977, -4897, -5817?\nAnswer: -6737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46291, -46592, -46905, -47230, -47567?\nAnswer: -47916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -11*l - 58. Let o be b(-6). Suppose 0 = -11*h + o*h + 3831. What are the prime factors of h?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (360\/225)\/(4\/(-10)). Let q(z) = z**2 - 7*z - 9. Let i(v) = -3*v**2 + 21*v + 26. Let u(x) = 3*i(x) + 8*q(x). Give u(l).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in meters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 129 = -1. Suppose 0*q = 4*q - s. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-910)\/(-6188)*4\/5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + 2690*m**3 - 8*m**2 - 2683*m**3 - 2*m to u*m**2 + p*m**3 + g*m + z and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1258 divided by 1\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9.3+-83\nAnswer: -92.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -218 + 216. Suppose -w - 1 = -4*z - 16, -w - 2*z - 3 = 0. Put d, 5, w in decreasing order.\nAnswer: 5, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 804534476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 t when four letters picked without replacement from tqtqqttqtqtqt.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**5\/20 + 5*r**4\/8 + 2*r**3 - 3*r**2. Factor l(t).\nAnswer: 3*(t + 1)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -5\/3*l**3 + 0*l - 155*l**2 - 1\/60*l**5 + 0 + 1\/24*l**4. What is d(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 3*m. Let g(d) = 2*d**2 - 8*d. Let v(z) = 9*z - 1. Let t be v(1). Let i(j) = t*o(j) - 3*g(j). Factor i(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 8*c**2 + 8734*c - 8734*c + 4 + 2*c**2.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/160650 and 79\/9520.\nAnswer: 1285200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 246637 - -131291. Let k = q - 1607928. Round k to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -200?\nAnswer: 1\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-8)*8376\/183225?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by -33700523?\nAnswer: -24\/33700523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 3, -1, 14, -4.\nAnswer: -40, -4, -1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2.8, 4, -2\/55, -867, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354330369.\nAnswer: 3, 1669, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.28*-0.4318.\nAnswer: 8.756904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -2, 5 in decreasing order.\nAnswer: 24, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4842024 and 66?\nAnswer: 4842024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f + 46*f = -531848. Let h = -18871 - f. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 11*r + 5. Let y be f(-12). Let d = 11 + y. Solve 0*h - d*h = 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327 = -27*s - 165 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - m + 9. Suppose m = c - 0*c. What is the remainder when c is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99.56 + 101.56. Let i(u) = 2*u + 6. Let j be i(-6). Which is the second biggest value? (a) j (b) -0.4 (c) t (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggg. What is prob of sequence gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 9*r + 14. Let d be y(-10). Solve -13 = 5*t + 2*q, 0 = d*t + 2*q + 2*q + 20 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -9\/160 (c) -24.61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*((5*i + 2*i - 3 - 4*i)*(-1 - i + 1) + 0*i**2 + i**2 + 0*i**2).\nAnswer: 4*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 < 158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 3 = -3*w. Let g be ((-6)\/w)\/2*-1. Solve -g = 2*k + l, -4 = -k + l - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*f - 12, 0 = -5*f - 7*j + 4*j + 22. Solve 2*g + 0 = f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 77 = 109 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 l when four letters picked without replacement from hhhllhhhhhlhhh.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*c - 0*c - 39, 5*a = -5*c - 45. Let i(l) = -19 + 2*l + 10 - 12 - 18 + 52. Calculate i(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124625, -124627, -124629, -124631?\nAnswer: -124633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 240\/29, -0.5, 0.4?\nAnswer: 240\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -11*a**2 - 9*a + 44. Let b be v(4). Sort -4, -2, b in descending order.\nAnswer: -2, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1567 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2291220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252.69348 seconds to minutes.\nAnswer: 4.211558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 30507 (b) -2167 (c) -2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26399*h + 3845328 - 519054 = 0 for h.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, 0, -7, -4 in increasing order.\nAnswer: -56, -7, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-639)\/(-756) + 1\/4\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3551 + 446574?\nAnswer: 452345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 30*n**2 - 28*n - 9. Let k = -39 + 68. Calculate the least common multiple of 2 and s(k).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96723233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -25)*((-446)\/90 + -14 + 19)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 5 = -8*k - x, -20*k - 7*x - 19 = -24*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3*s - s)*(-3 - 2 + 25)*((-3 + 4 - 3)*(-4 + s + 4) + 0*s - s - s - s + 4*s - 2*s + 3*s - 6*s + 2*s - 3*s + 0*s + 5*s).\nAnswer: -40*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1933117*f*l*r**2*s - f*l*r**2 - f*l*r*s - 270*f*l*r - 3*f*r*s - 9*f*s + 2*l - 3*r*s wrt r?\nAnswer: -3866234*f*l*s - 2*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -69*i**2 - 1839*i + 658. Calculate f(-27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506913289.\nAnswer: 137, 3700097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 196988144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.021942018 * 0.1.\nAnswer: -0.0021942018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -44 and 0.4.\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-770)\/2200*160\/210.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z - 4*z - z**3 + 2*z**3 + 3*z**3 - 4*z**3 + (-50*z**2 + 50*z**2 + 7*z**3)*(3 - 2 - 4) to the form q + w*z + h*z**2 + r*z**3 and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136407160?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (346*c - 22*c + 31*c)*(0 + 1 + 1 + (2 - 3 - 1)*(-3 - 4 + 5) + 1 + 1 + 0)*(0 - 5 + 3).\nAnswer: -5680*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 837 = 887*s + 1279 + 5767 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 18*i. Let h(d) be the first derivative of d**6\/120 - 19*d**3\/3 + 2*d - 167. Let n(y) be the third derivative of h(y). What is p(n(m))?\nAnswer: 54*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - -5434?\nAnswer: 5421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 9*k**2 - k + 48. What is x(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 4*i - 5. Let g be z(6). Let p = -4128 + 4205. Calculate the highest common factor of g and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 k when two letters picked without replacement from {v: 3, f: 1, a: 2, k: 2, e: 6, c: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-three halves of a hour?\nAnswer: 1290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/4 - 59*j**2\/4 + 185*j + 200.\nAnswer: (j - 40)*(j - 20)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/9))**(-33))**(-16) assuming m is positive.\nAnswer: m**(-352\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -8*x + 6. Suppose j = 4 - 14. Let u be (j - (-35)\/5)\/(3\/(-4)). Determine y(u).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -11 - (-27 - (-5 - 15)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000147324 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 2248?\nAnswer: 2245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 4*s**2 - 6*s - 3. Let x be i(-5). Suppose -2*g + 5 = l, 5 = 4*g - x*l - l. Suppose 155 - 601 = -g*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + (sqrt(704) + sqrt(704) + -2)*-5*6 + (sqrt(704) - sqrt(704)*2)*-6*6))**2.\nAnswer: -86016*sqrt(11) + 1634560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.2? (a) 15 (b) -0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6\/10*(8510\/(-2109))\/(-23)*1\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.12 - -5.12. Let m = 1436 - 1309.4. Let w = m + -126.3. Put w, -0.4, 3, f in ascending order.\nAnswer: -0.4, w, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -94*a**2 + 2725*a + 34. Let d be i(29). Solve -d*q = -3*t + 8, q + q - t + 4 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 14*g**2 - g + 4.\nAnswer: -14*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 8:43 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l. Let z(u) be the third derivative of 0*u**3 + 13\/24*u**4 + 0 - 32*u**2 + 0*u. Calculate z(w(a)).\nAnswer: -26*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 80*c - 77*c - 96. Suppose 2*r = 60 - 12. Let q = 56 - r. Is c != q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2608*z = 2602*z + 24, -2*g = 3*g - z + 54 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 222900 rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 + -1. Let d = j - 0.1. Let i = d + -1.4. What is the closest to i in -5, 4\/9, 2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 612 + -609. Let i(j) be the second derivative of -4\/3*j**w + 0 + 0*j**2 + 3\/4*j**4 + 4*j. What is the second derivative of i(c) wrt c?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**5\/60 - s**4\/6 + s**3\/2 + s**2. Suppose 3*h = 3*i + 9, 2*i + 4*h = -h - 34. Let q = i + 2. Calculate w(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 47*i**5 + 5*i**2 + 74*i - 5. Let m(l) = 46*l**5 + 6*l**2 + 74*l - 6. Let h(v) = -5*m(v) + 6*y(v). Find the second derivative of h(r) wrt r.\nAnswer: 1040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148715 - 142459 = -184*b for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3013*y**2 + y - 188. Let n(l) = 6025*l**2 + 2*l - 408. Calculate -13*k(z) + 6*n(z).\nAnswer: -3019*z**2 - z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031 divided by -366?\nAnswer: -1031\/366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 194?\nAnswer: 10476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 15, -3, -59, -1, 10, 3 in decreasing order.\nAnswer: 15, 10, 3, 1, -1, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/65 (b) -0.8 (c) -3\/4 (d) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-176)\/1749)\/(816\/(-306))?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 267 - 42. Suppose -20*w = l - n*w + 20, 0 = -4*w + 20. Solve l*g - 5 = -15 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*u = -u + 65728, -40*x + 657430 = 5*u. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*h**3*s**2*u + 3*h**3*s*u + 2*h**3*u**2 + h**2*s + 26*h**2*u**3 + 20*h*s**2*u**3 wrt s?\nAnswer: 118*h**3*u + 40*h*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*v**2 - 6*v**3 + 30*v**2 + 0*v**3 - 3*v**3 + 2*v**3 + (v**2 - v**2 - 2*v**2)*(0*v + v - 3*v) + (-4*v**3 - 8*v**3 - 3*v**3)*(-2 + 0 - 1).\nAnswer: 42*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 34 + 13. Suppose o - 127 = -8*b. What are the prime factors of b + -6 + (0 - -66)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q**4 - 24255*q**3 - 133623*q**2 + 157872*q = 0. Calculate q.\nAnswer: -13\/2, 0, 1, 4048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 479959950028*x + 614*x**2 - 479959950028*x.\nAnswer: 614*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 204 + -148. Solve a*y + 3 = 57*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 535*i - 1 + 513*i to v*i + z and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/14)\/((-9)\/63). Let x be (-3)\/v + 17\/2. Suppose x*y - 3*y - 120 = -4*c, 0 = y - 2*c - 15. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1099.\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4761595 to the power of 1\/2, to the nearest integer?\nAnswer: 2182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*((sqrt(51)\/((sqrt(27) + (sqrt(135)\/sqrt(5) - sqrt(27)))\/sqrt(9)))**2 + (sqrt(153) + sqrt(153) + 1 - sqrt(153))**2*5).\nAnswer: 900*sqrt(17) + 23610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4533, 0.3, -4, 0.7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 3*y**2 + 5*y - 45. Let z be u(8). Let i = z - 268. Calculate the highest common factor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/7 + 16\/7. Suppose -2*w - 2*r - 8 = 0, 4*r + 20 + 1 = -5*w. Sort 4, b, w.\nAnswer: w, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiimiti. Give prob of picking 3 i.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.86 - 0.4.\nAnswer: 1.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.26597 (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(77)\/sqrt(28)))\/((sqrt(100) + sqrt(100)*3 - sqrt(100))*-3).\nAnswer: -2*sqrt(3)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*p - 10 + 56, -56 = 7*j. Solve p*k + 11*k = -39 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -42.52.\nAnswer: 12.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 940?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2800*y - 19599. What is c(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v - 44. Let n(g) = -g - 24. Let r(z) = -3*a(z) + 7*n(z). Determine r(-16).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1133 (base 4) in base 16?\nAnswer: -5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6588424?\nAnswer: 2, 823553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1207 + 7371*q + 601 + 606 as k + t*q and give t.\nAnswer: 7371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.024 + -0.024. Sort -0.7, 2, v, 1\/2 in ascending order.\nAnswer: -0.7, 1\/2, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 - 34*g**2 - 7*g + 33. Let v be q(-17). Calculate the highest common factor of 16 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 10 = -d. Let u = d - 7. Is 1\/(((-2)\/31)\/u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 52780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/80)\/((-44424)\/118464)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o - 14 = -28*o + 2*g, -o + 1 = -g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 193*s**2 - 344*s - 2. List the prime factors of i(7).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -8*k + 5. Let w(s) = 7*s - 6. Give -6*c(r) - 7*w(r).\nAnswer: -r + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5397120 and 450.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byviyyiiiiioi. What is prob of sequence iyvb?\nAnswer: 7\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 - (1 - (-3 + 19)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**(-3)*l))\/((l\/(l**(-4\/7)*l))\/l))\/(l**(-1))**(-5))\/(l\/(l**(-3\/5)\/l)*(l*l**(-7))\/l*(l\/(l\/l**0))**(-29)) assuming l is positive.\nAnswer: l**(99\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 4:34 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*d - 305*d = 5 - 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 4 = z. Let w be (-2 - z)\/3*5. Let x be 20\/(8 - -2)*2\/2. Sort w, 1\/9, x, -0.5 in decreasing order.\nAnswer: x, 1\/9, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*v**3 + 310494489364 - 310494489364.\nAnswer: -41*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.97? (a) -0.3 (b) -0.095 (c) -3\/5 (d) 0.5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g. Let r(c) = -5*c - 8. Let d(t) = 4*n(t) - r(t). Suppose -3*j + j = -12. Determine d(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13079 and 4348542?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 160 + -155. Let u(w) = -w**3 + 4*w**2 + 4*w - 3. What is u(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 61. Suppose -192 + z = -3*n. What are the prime factors of n?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-3 + 9 + (-2 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*u = 3*u + 1, -29 = -2*k + u. Suppose 0 = 5*f + 9 + k. Let s = 4.07 - 0.07. Put f, s, -2\/13 in ascending order.\nAnswer: f, -2\/13, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {l: 9, c: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16416 + -15?\nAnswer: 16401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 113434, 122732, 138230, 159928, 187826, 221924, 262222?\n\"Answer: 3100*k**2 - 2*k + 110336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/7*f**2 - 12\/7*f + 8\/7 = 0 for f.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 934 + 141 = 0. Let t = -88 - -261. Suppose 4*u - t - c = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 4:24 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3 + 8*h**3 + h**2 - h**2 + 5 - 9. Suppose -7*s + 5*s - m = -2, 5*m - 1 = -s. Give u(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z - 4*z - z + 1 - 2*z - 1 + z + 5*z - 4*z - z + 0*z + 3*z + (5 - 2 - 4)*(-z - 2*z + 4*z) - z - 4*z + 3*z + 43*z - 90*z + 45*z - 13.\nAnswer: -5*z - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 686.96 - 687. Put 5, -4, g, 4 in descending order.\nAnswer: 5, 4, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 - -19 - (6 + 15)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/((-40)\/(-75))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*u**2 + 5069*u - 37258.\nAnswer: 10*u + 5069","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 2*i**2 - 3*i + 2. Suppose -12*v - 480 = 12*v. Let k be 20\/(-7) - v\/(-140). Determine q(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 11. Let d be 19\/7 - r\/(-28). Let u(h) = d*h + 2*h + h - 5*h. Let i(j) = -4*j**2. Calculate i(u(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 2*z - 2. What is p(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2 + (-57)\/4)*-1 and 49\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 13*n - 49. Solve -2*s + n = -2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -41 + 6. Let z = o - 6. Suppose -4*n - 21 + z = 0. Let d(a) = a**3 + 6*a**2 + 5*a - 2. Determine d(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16*(-5)\/(-10) + -865*14\/(-1470)\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 37\/247 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 (base 6) in base 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3 + 1.6. Let z = -492.2 - -492.7. Sort p, -2\/7, -1, z in descending order.\nAnswer: z, p, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -771251 + 24?\nAnswer: -771225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-63))\/1*3\/7. What is the second smallest value in -3, -1\/3, b?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003786 to 6 decimal places.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 7. Let n be (-6)\/(-45) - 185188\/2010. Does 46 divide (u\/(-6))\/((-1)\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0913495nm in kilometers?\nAnswer: 0.0000000000000913495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**3 + 49 - n**2 - 3*n**3 - 47 + (-3*n**2 + 5*n**2 - 4*n**2)*(4*n - 5*n + 3*n) to the form p*n + w*n**3 + s + k*n**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1530 is divided by 192?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1956 and 341974.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 6:17 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 3*k**2 + 3*k - 29. Let t be d(0). Suppose j + 2*p = -3, -3*j - 3*p - 17 = -5. Sort 2, j, t, 0 in descending order.\nAnswer: 2, 0, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 11. Suppose 2*o = -2*o - 5*j - 23, 5*o = -3*j - 32. Sort m, -1, o.\nAnswer: o, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(-8)*i*i*i**5\/i*i**(1\/2))\/(i**(-7)*i*i**0*i**(-7)*i\/(i\/i**(1\/4))) assuming i is positive.\nAnswer: i**(109\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 9, 2487355?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 37?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -12*r**2 - 5*r - 13. Let k(j) = -12*j**2 - 4*j - 12. Let l(y) = -4*a(y) + 5*k(y). What is the first derivative of l(o) wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/7263 and 109\/66.\nAnswer: 159786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27557\/316 - -6909\/79. Factor k - o*k**2 + 0.\nAnswer: -k*(k - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*q - 680 - 1968 = 427 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t + 42*t - 44*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 48 + 11 = -2*y, -4*d = 3*y - 56. Calculate the greatest common divisor of d and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1666)*3)\/(sqrt(10)\/(sqrt(20)\/sqrt(4))) + 5*(sqrt(612) + -2*(sqrt(612) + 1 - sqrt(612))**2 - -4*(sqrt(612)*-2)**2).\nAnswer: 51*sqrt(17) + 48950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 9:26 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6 - -163)\/((-15)\/(-135))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 2. Let l = h + 18. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -41. Let w = f + 5. Does 24 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 106*b**3 - 32*b**3 - 17*b**3 + (4 - 4 - 2)*(-1 - 2 + 0)*(-4*b**3 - 3*b**3 + 3*b**3).\nAnswer: 33*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/87 and 32\/1629.\nAnswer: 47241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 435 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: What is the remainder when 275 is divided by 106?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5118 - 1627. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12002 + 1?\nAnswer: -12001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 367be (base 15) to base 16.\nAnswer: 2a737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005678 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.4 + -9.4. Let b = 83 + -499\/6. What is the smallest value in i, b, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14691 = 471*p - 1434 - 360 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 3*z + 0*z)*(7*z**3 + 45169 - 45169 - 155*z**2).\nAnswer: 7*z**4 - 155*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60253, -241022, -542303, -964096, -1506401, -2169218, -2952547?\nAnswer: -3856388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 5, -34, 2.\nAnswer: -34, 3\/2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-4 + 13 - 6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022401 to three decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -449\/4 + 113. Let s = 2.57 - 2.7. Let h = 0.33 + s. What is the closest to -2 in 5, h, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**5\/60 + l**4\/24 + l**3\/6 + 3*l**2\/2 + 3*l. Let y(j) be the first derivative of i(j). What is y(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/10)\/(-4 + (5 - 0))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 18 = -113. Suppose 0 = -2*r - r - 4*x - 16, -x = -5*r - v. Let i = -133.2 + 133. Sort i, r, -0.4.\nAnswer: r, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77914?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 599906355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 305193692?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -11*b. Let z(m) = -3*m - 8*m + 10*m. Determine y(z(p)).\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 282*z + 5635. Let i be u(117). Let t(a) be the first derivative of -10\/11*a - 1\/22*a**4 - 14\/33*a**3 - i - a**2. Factor t(x).\nAnswer: -2*(x + 1)**2*(x + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240927245 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(44\/(-395032)*-871).\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*((-15)\/2)\/3. Let s be (-1)\/((-5)\/3)*a. What is the units digit of (-8)\/s*-3*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**7\/2520 - 13*k**5\/20 + 23*k**2. Let l(i) be the third derivative of q(i). Let o(d) = d - 5 + 5. Calculate l(o(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 241*i**2 - 1178*i - 591. Determine v(236).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (345\/(-20))\/(15\/12 + -2). Suppose -z*b + 24079 = -33490. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2000*q**4\/11 - 1586600*q**3\/11 - 43260*q**2 - 47582*q\/11 - 1586\/11.\nAnswer: -2*(q + 793)*(10*q + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128514?\nAnswer: 2, 3, 21419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 7) in base 14?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 6) in base 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*w - 2*g + 55, -3*w - 3*g = 2*w + 40 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*p**2 + 0*p - 27*p**2 - 90*p**4 + 182*p**4 - 91*p**4 + 6*p**3 - p as h*p**3 + q*p**4 + m + j*p + x*p**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006476254092 rounded to 4 decimal places?\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 7. Let r be h(-4). Let l(g) = 5*g**2 - r*g**2 - 4*g**2. Let q(m) = m. What is l(q(t))?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 9:55 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-12) - (-34)\/3. Suppose 4*m = d + 8. Let z be 41099994\/(-2 + m) + 2. Round z to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -5*d - 22 - 1, -2*d = 5*k - 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l - 1 + 1)*(400*l + l**2 - 400*l) as i*l + y*l**2 + u*l**3 + j and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2001.8 + 2002. Let t = -0.3 - 4.7. Suppose -2*u - 7 = m, -m + 9 = -3*m - 3*u. What is the third smallest value in z, m, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1441 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(24 + -23) + (51\/(-17) - (-35)\/3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3475, 3471, 3469, 3469, 3471?\n\"Answer: f**2 - 7*f + 3481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 442.792 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146066897.\nAnswer: 146066897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94*g**5 + 234*g**3 - 14*g + 479.\nAnswer: 1880*g**3 + 1404*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 511110 and 87399810.\nAnswer: 87399810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 2849 + 5423. Let r = i - 641. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvnvnnnsnsmnsvnmv. Give prob of sequence mnn.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 6:49 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 - 0.09. Let g = 1.03 + v. Let a = 0.1 + -0.1. What is the closest to a in 3\/4, 1\/3, g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xllp when four letters picked without replacement from qpllaxl.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 9*m**2. Let j(n) be the second derivative of -n**6\/240 - 7*n**4\/3 + 28*n. Let s(i) be the third derivative of j(i). What is s(f(a))?\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -167, -572, -1249, -2198, -3419, -4912?\n\"Answer: -136*a**2 + 3*a - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + b + 1. Let k(u) = 4*u**2 - 6*u - 6. Let p = -52 + 53. Determine p*k(h) + 6*l(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2050 is divided by 1020?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 8:24 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 44662 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**5\/20 + z**4\/3 - z**3\/6 + 5*z**2\/2 - 5*z. Let j be n(5). Is 1\/(-5) - 580\/j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -83180*v**5 + 45*v**4 + 914980*v**3 + 1496745*v**2 + 664630*v - 360 = 0.\nAnswer: -2, -1, 9\/16636, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 7, -10 in descending order.\nAnswer: 7, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 345738.3 rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -15. Let x be (h - -1)\/1 - -846. Suppose 9*j - x = 2*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2822 is divided by 1\/2 - (9\/(-6) + -23).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 922817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/10)\/(5\/((-420)\/(-8)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2442 and 594?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1522, -3078, -4634?\n\"Answer: -1556*p + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vem when three letters picked without replacement from {v: 2, w: 1, m: 3, u: 1, e: 1, x: 4}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2426*u - 12156. Calculate t(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 14*d**5\/45 + 34*d**4\/9 + 58*d**3\/27 - 140*d**2\/9 + 8*d + 195. Find q such that a(q) = 0.\nAnswer: -9, -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24574 + -24560. What is the lowest common multiple of 8696 and p?\nAnswer: 60872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 4)*(0*l + 0*l - 3*l**2)*(5*l**2 - 3*l**2 + 4*l**2) to b*l + z*l**4 + i + a*l**2 + h*l**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2699961*i + 244*i**2 - 2699961*i.\nAnswer: 244*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -154, -10, -21, 4, -4, 5 in decreasing order.\nAnswer: 5, 4, -4, -10, -21, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 244899 (base 11) in base 12?\nAnswer: 167bb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6298*d + 816. Let x be q(-2). Calculate the greatest common factor of 28 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -590 - -591. What is the highest common divisor of 7 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6586? (a) 0.5 (b) 2\/9 (c) -0.1 (d) 84 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*a**4 + 8*a**4 + 13*a**4)*(0 + 3 - 4) + a**2 - a**4 + a**2 - 2*a**4 to the form g*a**2 + o*a + b*a**4 + h + v*a**3 and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10873974 divided by -1354\nAnswer: 8031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (44 + -31 + 1 + 4 + 0)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s - 4*s + 3*s)*(-18 - 16 + 1) to r + a*s and give a.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -t - 3 + 7, 3*t + 4*c = 50. Let x be 54\/(210\/(-60)*(-8)\/t). Solve 4*j = 2*o + 4 - 28, 0 = -5*j + o - x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 9 = -6. Suppose 3*d - r = -4 - 51, 5*r = 20. Let g = 21 + d. Solve n + 0*j - g = -5*j, 0 = 3*j - m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*i - 5*v, 0 = -4*i + 3*v + 1 - 8. Suppose -a = -4*a + 5*l + 21, i*a - 14 = -l. Solve 5*h - 3*h = -3*y + a, 0 = 2*y - 2*h + 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -2*j**2 + 4 + 2\/3*j**3 - 6*j. What is x in f(x) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpn when three letters picked without replacement from {f: 7, p: 1, n: 4, o: 2, c: 3}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-24)\/6*4\/(-16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.917352115 rounded to three dps?\nAnswer: -0.917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 l when four letters picked without replacement from ikliiilklllklkliiili.\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1717 + 1720. Let v(s) = 2*s - 4. Let x be v(5). Suppose -5*q + 3*q + x = 0. Calculate the smallest common multiple of l and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.082 < 20274.94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -15*n**2 - 4*n - 18. Let i(v) = v**2 + v + 1. Let t(h) = 4*i(h) + k(h). What is the derivative of t(f) wrt f?\nAnswer: -22*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8*x = -1392. Let y = x - -105. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102111 - -131?\nAnswer: -101320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6795 - -203869\/30. Calculate the common denominator of -81\/40 and b.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 7486?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) - 2*sqrt(425))**2 - sqrt(425)) + (sqrt(17) - (2*sqrt(204) - sqrt(204))\/sqrt(12)).\nAnswer: -5*sqrt(17) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4926807 and 1863?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v - 9. Let j(p) = -14*p. Let z(t) = -2*t. Let w(d) = j(d) - 6*z(d). What is x(w(s))?\nAnswer: -10*s - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 228?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142 and 497?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0203258831 to five decimal places.\nAnswer: -0.02033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - 39. Let n = -159 + 158.8. What is the third biggest value in n, v, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttctettttttwtct. What is prob of sequence wwet?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00836436 rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475*q + 580*q = 964*q + 1911 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6195461138 to the nearest integer?\nAnswer: 1837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28760 - -28761.1879. Let j = h - -0.0121. Which is the third biggest value? (a) -2\/3 (b) 0.6 (c) 1 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86\/(11868\/(-207))*-14*1\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 40 = -4*c, -5679*c = -5676*c - b - 22 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l. Let x(j) = 92*j - 7. Let t(y) = -61*y + 5. Let i(o) = -7*t(o) - 5*x(o). Calculate i(m(r)).\nAnswer: -66*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/4, 4, -0.4, 0.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 4)*(-20*q + 59 - 59).\nAnswer: 40*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -521051 (base 7) in base 13?\nAnswer: -317ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -5*s + 4*b + 1, -5*s - 2*b = -19 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 2*z + 2. Let l(y) = 4*y**2 + 22*y + 11. Let o(f) = -5*g(f) + l(f). What is o(11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**2\/5 - 354149*r\/5 + 2833128\/5 = 0.\nAnswer: 8, 354141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -58 in 1\/5, -4, 0, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) 1\/9 (b) -3\/10 (c) 0.3 (d) 16 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -7*b + 4*b + 138, 184 = 4*b - 2*m. List the prime factors of b.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.45634744 to three dps.\nAnswer: 2.456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 11:10 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v - 2*v + 0*v + (-2 + 2 - 1)*(6*v - 4*v - 5*v))*(3*v + 5*v - 4*v)*(-2 + 0 + 4).\nAnswer: 64*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -11. Let o be 2\/(-3 + k + -4). Let f(h) = 10*h**2 - 1. Determine f(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*f + 568 = 0, 5*p = -6*f + 11*f + 1385. Let x be p\/24 + (-24)\/(-64). Solve -9 = -3*c + x*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.15306 - -0.153067908. What is m rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -20596*d. Let c(q) = 424*q + 2. Determine c(j(u)).\nAnswer: -8732704*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -48 - 226103?\nAnswer: -226152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 157 divided by 5\nAnswer: 157\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oco when three letters picked without replacement from {c: 7, f: 4, i: 2, m: 2, o: 2, w: 2}?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - -6946*(-6)\/12. Is w\/(-4) + (-34)\/68 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 + 97. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*b - 5*t - 30, b - 10 = 2*t. Suppose 2*j - 8 = -b*j. Let i = 0 - -22. What is the greatest common factor of j and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1)*d**(-3\/2))\/(d**1*d*d)**(-1\/4))**(-1) assuming d is positive.\nAnswer: d**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210\/1815 - (2\/(-4) + 382\/348)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -857, -2, 5, 1, -3 in increasing order.\nAnswer: -857, -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*x - 14359639, 7179833 = -z + 3*x - 5*x. Let t = z - -2279827. Round t to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1788 and 14104191.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -498, -9, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -21 + 0*m + 22 - 3*m. Let h(a) = a. Give g(u) + 5*h(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4059350.\nAnswer: 2, 5, 19, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*a**2 + 100*a**2 + 78*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-426)\/78 - (-6)\/13) + -8 + -35.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/17, 0.1, 157 in decreasing order.\nAnswer: 157, 4\/17, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = 11*z + 12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 = 60*p - 62*p. Suppose 0 = 86*v - p*v - 30. Put -5, v, 0 in descending order.\nAnswer: 0, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + 192?\nAnswer: 1a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.3, -6\/7, -0.6?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 16431 + -16439 - (56\/10)\/((-4)\/30)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 8. Let k = y + -11. Let m = -10\/11 - -8\/33. Which is the nearest to 1? (a) k (b) m (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1. Let a = 1 + -5. Let g be a\/10 - n - -2. Sort g, 4, -4.\nAnswer: -4, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 13*j - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 121 - 65. Let n be 240\/b - (-8)\/(-2). What is the third smallest value in 1\/5, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -4*f - 72 + 70, 3*c = 3*f - 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l = -r + 14, 3*l + 2*r = 8. Let t(c) = c**2 + 4*c - 5. Let f be t(-5). Let h be -10*(f + 4\/(-8)). Sort h, l, 0.\nAnswer: 0, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -19*g. Let y be (5 + (-1 - 2))*-1. What is the remainder when q(y) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2686.641 - 2684. Let u = k + 0.359. What is the closest to 0.1 in -5, -2\/7, u?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mirimisvrsvvissm. Give prob of sequence rvv.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2475, -2473, -2469, -2463, -2455, -2445?\n\"Answer: c**2 - c - 2475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4426, -17703, -39832, -70813, -110646?\nAnswer: -159331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 8. Which is the nearest to 0.1? (a) -1\/10 (b) d (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 + 91*c**3 + 574*c**2 + 776*c.\nAnswer: -c*(c - 97)*(c + 2)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6727*q + 114429. Give p(-17).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1757142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/101 in -5, 33, -2\/9, 4, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*j = 28*j - 5*f - 32, 3*j = 4*f + 30 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 37 + 3 = 0. Let s be (-4)\/l*(-1)\/(-3). Suppose -3*w = w. What is the nearest to -0.1 in w, 2, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 456101139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 13, k: 3}. What is prob of sequence kkak?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**4 + 28*l**3 + 92*l**2 - 156*l - 216 = 0. What is l?\nAnswer: -3, -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4\/3 + 38*h**3\/3 - 742*h**2\/3 - 3090*h - 8100 = 0 for h.\nAnswer: -27, -5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1036018 or 1035999?\nAnswer: 1036018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14080487*g**2 + 13301335 wrt g.\nAnswer: -28160974*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = -z + 10*a, -z - 1 = 3*a. Let y(s) = 0*s**2 + 3*s**z - 2*s**2 - 24 + 45 + 3*s - 25. Give y(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 426\/8307 + 2774\/156 and 137\/114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3571438 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2174523.3 months to centuries.\nAnswer: 1812.10275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.9 + 4.9. Let a = -3.035 - 0.065. Let z = d + a. What is the second biggest value in -5, -3\/5, z?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178890890?\nAnswer: 2, 5, 19, 71, 89, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39856, -79752, -119650, -159550, -199452?\n\"Answer: -q**2 - 39893*q + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*c - 3*c = -3, -5*s + 3*c = -15. What is the smallest common multiple of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50589881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -20. Let q = k - 3. What is the third biggest value in q, 0.2, -0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whwhvhvxvh. What is prob of picking 1 v and 2 h?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**11*q)\/((q\/(q\/(q\/(q*q*q\/(((q*q*(q*q**(-23))\/q*q)\/q)\/q)*q*q))))\/q) assuming q is positive.\nAnswer: q**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8.957783mg?\nAnswer: 0.000008957783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (42\/(-8))\/(27\/576). Let m be ((j\/(-40))\/7)\/(1\/5). Suppose m + 0*z - 1\/2*z**2 = 0. Calculate z.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 19062?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2046 and 105481982.\nAnswer: 105481982.2046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*o + 9, -1 = -5*j - 2*o + 5. Suppose 0 = 4*u - 0*u - 12. Solve 0 = -u*y - j - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddq when three letters picked without replacement from {d: 9, q: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 - -1011101?\nAnswer: 1001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -7)\/(2\/2). Let o = 23.28 + -19.28. Sort -0.6, s, o, -0.4 in decreasing order.\nAnswer: o, -0.4, -0.6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pl when two letters picked without replacement from {n: 3, l: 4, p: 3, b: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7524 - 7488. Solve -h*v + 6 = 114 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1142858, 1142867, 1142876, 1142885, 1142894, 1142903?\nAnswer: 1142912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17467 + 17476. Calculate the highest common divisor of o and 7983.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/8*25\/((-2625)\/(-1820))*3\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f - 1. Let t(u) = -6*u + 1. Let y(c) = -5*t(c) - 4*w(c). Is y(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/9 - (-318)\/9. Suppose 12*l = 107 - f. Find the third derivative of 16*i**6 - 5*i**6 - 8*i**6 - 33*i**2 - 11*i**l wrt i.\nAnswer: -960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 45*i**2 + 3*i - 2. Suppose 3*b - 5 = -f, -12 = -3*f + 6*f. What is the remainder when c(b) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-20 - 543\/(-27))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19207\/16 - 1201. What is the common denominator of ((-11)\/132)\/(1\/85) and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/63 + (-43)\/(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 241*t**3 + 12 + 1998*t**3 - 99*t - 143*t**3 + 960*t**3 + 92*t**3 wrt t.\nAnswer: 18888*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/6160)\/(14\/(112\/6))?\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 314015665 (base 7) to base 9.\nAnswer: 37877717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 + 5*d**2 + 3*d**3 - 3*d**4 - 2*d**2 to c*d**4 + m + l*d**3 + i*d + g*d**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45100 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26089554 + -17006654. What is i rounded to the nearest 100000?\nAnswer: 9100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-2)\/(-2 + -2)). Let x be (-1457)\/r + (-18)\/(-36). Suppose j = -4*v + 199, -3*j = -5*v - x + 47. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2069086 plus 67?\nAnswer: -2069019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -67621666\nAnswer: 1\/67621666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.15 - -0.15. Put m, 1, -5 in ascending order.\nAnswer: -5, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 737023, 1474061, 2211107, 2948161, 3685223, 4422293?\n\"Answer: 4*n**2 + 737026*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 14453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10430000 rounded to the nearest 100000?\nAnswer: 10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3*k = 132, -3785 = -z + 3*k - 3643 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {c: 11, n: 5}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x - 3*x - 2 + 8*x + 0 to the form h + i*x and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 1423\nAnswer: -7\/1423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 410236*v - 13538879. What is f(-33)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14105 + 14111. Let f be (-2)\/(0 - 3\/9). Solve -f*h = -3*h + a + 1, 4*h + 5*a - l = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (67878\/(-2514))\/((-9)\/10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24030308 to the nearest integer?\nAnswer: 4902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 minus 14.921?\nAnswer: -27.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 16*d - 21. Let n be c(9). Is 0 - ((-6)\/14 - 50424\/n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3926 + 3939. Is -12.7 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1598 + 1606. Calculate the remainder when 302 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2384\/217 + 345\/31. Factor -1\/7*s - m*s**2 + 6\/7.\nAnswer: -(s - 2)*(s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k*t**3*w - k*t**3 + 2*k*w**2 - k + t**3*w**2 - 4*t**3 - 48*t**2*w**3 wrt w.\nAnswer: 4*k + 2*t**3 - 288*t**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.3 + 8. Let z be 0\/1 - (-1)\/(-9). Which is the closest to -2\/5? (a) 3 (b) g (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6497 * 1624.\nAnswer: -10551128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-825)\/(-150))\/(5\/40*-2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.6 or -0.037?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q*(q*q**(2\/3))\/q)\/q)\/q)**35)**42*((q**(-1))**16)**(-8\/3) assuming q is positive.\nAnswer: q**(3068\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k + 5. What is the least common multiple of 20 and s(13)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*g + 467*g + 3*o = 48, g - 4 = -4*o for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 2. Let m = 6 + -2. Suppose -2*n - 20 = -n + 4*c, m*c + 20 = 0. What is the remainder when 6 is divided by v(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0 + 20 = 4*h, 4*f + 90 = -2*h. Is f less than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1038 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*(-720)\/320.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211235.379 rounded to the nearest ten?\nAnswer: -211240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1611768 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -19 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + -13*(2 - (0 + 3)). Let n = 372 + -251. What is the greatest common divisor of l and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50b6 (base 15) to base 12.\nAnswer: -9a46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w + w**3 - 5*w)*(1 - w - 1) - 412*w**2 + 412*w**2 + 1222*w**4.\nAnswer: 1221*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 3. Suppose 5*b - q*b - 4 = 0. List the prime factors of (1 + 17)\/(b\/10).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.884167t to milligrams.\nAnswer: 1884167000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -683\/99 - 31\/198. Let p = h + 269\/18. What is the common denominator of 7\/3 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3930365?\nAnswer: 5, 541, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/33 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5 - 287*i**4 + 13272*i**3 - 37260*i**2 = 0. Calculate i.\nAnswer: 0, 3, 54, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 32 = -5*h + 4*n, 0 = 4*h - 4*n - 20. Let o be 4\/h - (-186)\/(-9). Let d = 27 + o. Solve -5*u + d*c + 12 = 4*c, -3*c + 9 = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -k + 5*t, 218 = 4*k - 2*t + 7*t. Suppose -80*q = -74*q - 5*w + 14, 4*q - 2*w + 4 = 0. What is the remainder when k is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 15*s**2 + 7085*s - 4730 = 0.\nAnswer: -473, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + u. Let r(i) = -9*i**2 - 3*i. What is r(q) + 4*s(q)?\nAnswer: -13*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 14. Suppose 4*b - 13 = 3*o, 4*o - 2 - y = 0. Let l be 6\/b*(-32)\/(-12). What is the highest common factor of 36 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -4*i**3\/3 + 14052*i**2 - 49364676*i - 3348. Factor k(b).\nAnswer: -4*(b - 3513)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-155)\/10)\/(2\/(-12)). Calculate the highest common factor of r and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**6 + 68*l**5 - 5*l**2 + 10*l wrt l?\nAnswer: 240*l**3 + 4080*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = v - 1 - 5, 3*v = -4*s + 8. Let x be (32\/24)\/((-262)\/(-3)). Let t = -280\/1179 + x. What is the closest to -1\/3 in t, v, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/112 + (-1)\/(-7). Solve a = 4*d - 0*d - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13719, 27404, 41055, 54672, 68255?\nAnswer: 81804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)\/(sqrt(10)*-2))\/(sqrt(40)\/(sqrt(4) + (sqrt(4) - (sqrt(4) - sqrt(36))))).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**3 - 17*a + 2*a**3 + 9*a + 22*a**2 - a**2 - 5*a**2 to the form o*a + i + y*a**2 + f*a**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c + 2*c + 0*c)*(6*c + 8*c - 5*c) + (13*c**2 - 2*c**2 + 2*c**2)*(-3 + 3 - 1) as k + p*c + h*c**2 and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 225268699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= 136.616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -43*g + 29*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-694)*554 + (-2 - 0). Let t = 16091\/22902 - z. What is the common denominator of -127\/36 and t?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431295128?\nAnswer: 2, 11, 79, 62039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/1812 + -24457\/9060. Let h = -4\/2269 - -61387\/70339. Calculate the common denominator of h and d.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 15376 = -3*l, -27*r + 30*r - 2*l = 9226. Does 61 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(143)\/(sqrt(88)\/(sqrt(8) - 1*sqrt(8) - sqrt(8))) + sqrt(117)\/sqrt(900) + (-4*sqrt(1300) - sqrt(13)))**2.\nAnswer: 2505373\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/14)\/((-4348)\/(-45654)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 2*b**2 - b - 4. Calculate g(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 698, 912, 1124, 1334?\n\"Answer: -l**2 + 217*l + 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 593*0.8\nAnswer: 474.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 1. Let q be s(2). Solve 0 = -5*r + 3*b + 27, -r - 8 = 3*r + q*b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 48 = -w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 - 79 = -3*z - 2*o, 4*z + 4*o = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 6 + 11)*(-3*u + 2*u**2 + 3*u)*(6 - 781*u + 393*u + 341*u) to the form g*u + c*u**2 + m + a*u**3 and give c.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -95170, -92?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -6 - 0) + (-7 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - v + 0)*(1 - 1 - 2*v) + 0*v + 0*v + 2*v**2 + v**2 + 3*v**2 - 3*v**2 + (1446*v + 6152*v + 4975*v)*(-2 + 2 + 2*v).\nAnswer: 25151*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -7*a**6\/6 - a**4\/4 - 19*a**3 - 175*a**2\/2 - 3681. What is the second derivative of q(o) wrt o?\nAnswer: -140*o**3 - 6*o - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 11041770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10373, 20735, 31097?\nAnswer: 41459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 8:19 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 12:50 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + (-3)\/2)*0. Suppose k = -3*v - 9, 0 = n + 2*n + 5*v - 54. Let l = -17 + 25. Calculate the remainder when n is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -42, -1\/3, 1?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 195, 800, 1907, 3618, 6035, 9260, 13395?\n\"Answer: 17*w**3 + 149*w**2 + 39*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*k**3*m**3*z - 80*k**3*m**2 - 43*k**2*m**3*z**2 - 6*k*m**3 wrt z?\nAnswer: 8*k**3*m**3 - 86*k**2*m**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24304?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuzzuuuuu. Give prob of picking 1 u and 1 z.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3021022021 (base 4) to base 14.\nAnswer: 1763b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7 - ((-196)\/(-16) + 5) and 31\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) -2\/7 (c) 8 (d) 3 (e) 5 (f) -475 (g) -84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**6\/120 + 11*r**5\/60 + 37*r**4\/24 + 47*r**3\/6 + 172*r**2. Is 20 a factor of g(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 6. Suppose -4*j + g = -7, 4*g - 8 = -3*j + p*g. Suppose 0 = j*h + 54 - 164. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 4, -2, 159, -3 in descending order.\nAnswer: 159, 24, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -11 (b) -1 (c) -0.1 (d) 623\/236\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-1)*9\/(-6)*-1. Solve 0 = -0*q - d*q - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48)\/(-40)*((-32)\/(-3) + -4). Let u(c) = -c + 6. Calculate u(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*o*u**4 - 236*o*u + 5*o + 7 wrt u.\nAnswer: 8*o*u**3 - 236*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 218731524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-52)\/(-6))\/(72\/32 - 18\/72). Suppose 2*i + 4*t - 63 = -i, -21 = -i + 4*t. Suppose 2*s - 5 + i = 4*w, 19 = 5*w - 3*s. Is w >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g - 4*g**3 - 6*g**2 + 29*g**5 - 32*g**5 - 2 + 5*g + 8*g**4.\nAnswer: -(g - 1)**3*(g + 1)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.002, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -78 + 77 - (1 - 15) - 26 - -39\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**2 + l + 2. Give w(-4).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/12 + 70\/(-12). Let m be u\/(-2 - 0) - 0. Solve 5*a + 2*a**m + 2*a**5 - 4*a**4 - a - 4*a = 0 for a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1820)\/(1 + -8) + 5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27818, -55635, -83452, -111269?\nAnswer: -139086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*x - 4*x - 417 - 12*x**2 + 417 as b + t*x**2 + r*x and give r.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(68)*-3)**2 + -5 + 4.\nAnswer: 2447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*d - 6 = 0. Let c be 23 + 2 + d\/1. Let o be (4 - 2)\/(2\/c). Solve -2*z = -3*h - 0*h + 16, -o = -h + 5*z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 12 = 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -3*y + 4, 81 = h + 5*y + 57 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1669*b**4 + 213*b**2 + 4.\nAnswer: 40056*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 854431.\nAnswer: 854431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -14 (c) 4 (d) 0.7 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -61440103 to the nearest one hundred thousand.\nAnswer: -61400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-70)*70*(-38)\/(-1064)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.68? (a) -2\/13 (b) 3 (c) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/13)*y**6*y)\/(y**(-1\/4)\/(y*y\/(y*y**(2\/15)*y*y))) assuming y is positive.\nAnswer: y**(4891\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iifikifsfk. What is prob of picking 1 k and 1 s?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103181 is divided by 34391.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -17*w + 123, -52*b - 16 = -3*w - 47*b for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 1:19 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, p: 4}. Give prob of sequence ppp.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -3. Suppose 2*m - 56 = -52. Which is the nearest to m? (a) -5 (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w - 18*l - 43 - 12 = -9*l - 14, 0 = -3*w - 4*l - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (62*j + 62*j + 17*j)*(-2 + 0 + 4 + (-2 + 5 - 1)*(-4 + 4 + 3) - 2 + 2 - 1) to the form x*j + w and give x.\nAnswer: 987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2137 (base 10) to base 4\nAnswer: 201121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 16) to base 15\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -158399.9996 + 158359. Let v = z - 0.0004. Which is the third biggest value? (a) -0.3 (b) v (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162540 divided by 140?\nAnswer: -1161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2 = -4*r - 2*s, 2*s + 3 = -r. Let z be 40\/5*r\/4. Let x be (-1 + 57\/12)\/(z\/8). What is the highest common divisor of x and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.19 + 0.69. Which is the nearest to -1\/2? (a) 3 (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -99 + -341?\nAnswer: -42a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*r**2 + 23*r - 23*r + (-2*r - 5*r + 5*r)*(r - 5*r + 5*r) + 4*r**2 + r**2 - 6*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -1, -3 in increasing order.\nAnswer: -3, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 561948 to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 765706701 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 3 + 0 - 4*v + 6*v. Let h be g(4). Let d(n) = -n - 2. Let w(b) be the first derivative of -b**2 - 3*b + 8. Determine h*w(m) + 8*d(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**8\/70 - g**5\/40 + 25*g**3\/6 + 8*g. Let l(f) be the second derivative of x(f). Find the second derivative of l(c) wrt c.\nAnswer: -288*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1208 is divided by 62?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 26. Suppose 2*i - r + 0*r = 59, 3*i = 2*r + 91. Let u be (6\/9)\/(6\/i). Solve u*m - 5*w + 2*w + 6 = 0, -l*m - 5*w - 6 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from lnb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87 - 61. Solve w - 5*v = -26, 3*w - 3 = 4*v - s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46726 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 4:26 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 4257\/4*h**4 - 1512297\/4*h**3 - 3\/4*h**5 + 0 + 1508043\/4*h**2 = 0 for h.\nAnswer: 0, 1, 709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -5. Let k(r) = -r**3 + 5*r**2 - 2*r - 3. Let w be k(h). Suppose 0 = -0*o - 5*o - w. Which is smaller: o or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*n**2 + 10*n**3 - 39 - 2*n - 5*n**4 + 34 - 5*n**5 - 2*n - n.\nAnswer: -5*(n - 1)**2*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/7*(-15 + 1). Let k be w - (6 + 1 + -3). Suppose k = n - 10 + 7. Calculate the remainder when 7 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1480134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-21))\/(62\/5425). Suppose -70 = i*q - 57*q. Calculate the smallest common multiple of 31 and q.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.016 and -0.5.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 206 + 2*y + 199 - 405.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-363)\/(-24) - (-39)\/(-312). Let x(g) be the first derivative of 0*g**4 + 0*g**3 + 0*g**2 + 4\/5*g**5 - 14 + k*g. What is the derivative of x(t) wrt t?\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -m - 9, w - m = 26. Let r = w + -17. What is the smallest common multiple of r and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 1. Let g(p) = -5*p - 8. Let s(m) = 3*g(m) - 12*z(m). Let t be s(-5). Solve -w + t*x + 2 = 0, 6 = -3*x - 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2213659.\nAnswer: 7, 79, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/6)\/(1\/(-6)). Suppose 15 = 5*d - m*d. Solve 3*i + 1 = 2*g - g, -d*g + i = -19 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 17*h**2 + 11*h - 15. Let w(s) = 8*s**2 + 5*s - 7. Suppose -o + 3 + 3 = 0. Suppose -1 + 23 = -2*b - u, -3*b + 4*u - 55 = 0. Calculate b*w(y) + o*g(y).\nAnswer: -2*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -23*d - 87. Let g be p(-4). Solve 37*a = -3*y + 33*a - 14, -g*a = 5*y + 15 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 2 - (-51)\/45. Let h = 0.11 + -0.11. Let f be 5\/12 - (-2)\/(-3). Which is the closest to -0.1? (a) s (b) f (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.235 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 783*x**3 + 135*x**2 - 135*x. Let y(h) = 23*h**3 + 4*h**2 - 4*h. Determine 4*i(n) - 135*y(n).\nAnswer: 27*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 7*k**2 - 9*k + 11. Let q be f(8). Let g be 3 + -3 + 1 + q. Suppose -g*a = a. Which is smaller: -2\/5 or a?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -36*d + 5. Let z(k) = -25 + 12 - 11 + 0 + 180*k. Calculate -24*h(f) - 5*z(f).\nAnswer: -36*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -22 - (-63 - (-6 - 91))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 4*p - 100, t + 3*p - 26 = -6. Suppose 3*h = h + 12. Calculate the least common multiple of h and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + 86 + (-6 - 28) + 46?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, j: 1, u: 1, i: 2, x: 1, c: 5}. Give prob of picking 1 i and 1 m.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1241640 divided by 248328?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -60, -53, -30, 15, 88, 195?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 6*v**2 - 8*v - 10. Calculate p(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*n + 2464 + 3025 = 102*n - 6120 for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -l + 2*j - 8, 5 = l + 2*j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3121 divide 281320698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1631 - -1632. Solve -4*b - 4*f - 9 = -d, -3*b - 5*f = 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50434 and 353038?\nAnswer: 353038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1597?\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4751 = -140*m - 5871 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**4 - 6921*j**3 + 11233933*j**2 + 2603936601*j - 2615163614 = 0?\nAnswer: -206, 1, 3563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v - 1. Let j(y) = -9*y + 1. Suppose 0 = -s - w, 30 = -s + 4*s - 3*w. Calculate s*d(c) + 2*j(c).\nAnswer: 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -184.2 + 183.2. What is the closest to z in -5, 91, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -101011121022211 (base 3) to base 2\nAnswer: -10100100111100101110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 e when three letters picked without replacement from {g: 4, e: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d7146 + -24?\nAnswer: 4d7122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 11*l + 25 = 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0 (c) -1\/3 (d) 0.0725\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11309605 + 634\nAnswer: -11308971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 199*i + 3*i**4 + i**3 - 198*i - 6 - 157*i**2 + 6 to the form t*i + w*i**3 + h*i**4 + f + u*i**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 6*p - 1. Suppose 13 = -z + 6*f - 2*f, -15 = -3*f. Let j be s(z). Let n = j + -1. Solve -9 = 3*w + 2*m, 2*m - 3 = n*w - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 1 (c) -8 (d) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - t - t - 978, 0 = 3*d + 5*t - 727. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -62, -125, -188, -251, -314?\n\"Answer: -63*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(10\/(-4) + 2). Let u = 0.6 - -0.4. Let k = 5377 + -5379. Which is the second biggest value? (a) k (b) n (c) -0.8 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2248400 by 20.\nAnswer: 112420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 441*h**6 + 411*h**2 wrt h.\nAnswer: 52920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 367463730 + -4?\nAnswer: 367463724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 326 - 326.081. Let j = 0.081 + f. Suppose 0 = 4*m - 8 - 8. Which is the nearest to -3? (a) m (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256018 is divided by 182.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -118300000 rounded to the nearest one million?\nAnswer: -118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115.99999842 + 116. Round u to 7 decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 144517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 12471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 4908.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 - 2*l. Let i(z) = -27*z**2 + 70*z**2 + 5*z + 26*z + 14*z + 22*z**2. What is -4*i(x) - 90*k(x)?\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b = 756 + 332. Let q(y) = b*y - 17*y + 20*y + 114*y - 19*y. Let o(m) = m**2. Give q(o(j)).\nAnswer: 166*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 488 = 726*v - 724*v. Let y = v + -126. Does 59 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 5*p - 3. Suppose 1 = -2*j - 5. Let r = j - -3. Let m be -4*(-2)\/(2 + r). Determine a(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 10. Let o be c + (-3 - -1 - 3\/(-1)). Solve 9 = i + 2*b, o*i - 3*i + 5*b = 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 0*d**2 + 7\/3*d**3 + 1\/2*d**4 - d**5 + 201 - 10*d. Find the third derivative of t(n) wrt n.\nAnswer: -120*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -330, -503, -790, -1191, -1706, -2335, -3078?\n\"Answer: -57*d**2 - 2*d - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80071928 by -16024.\nAnswer: -4997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5694.9997643 - -5695. What is d rounded to five dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42532+-3466\nAnswer: 39066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**3 + 29407475*x**2 + 88222360*x - 117629840 = 0. Calculate x.\nAnswer: -5881492, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(18)\/sqrt(729).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 212903456 by 212903456.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*z - 18 = 0, -2*z = -2*x + 4 + 2. Put -0.2, -0.5, x in descending order.\nAnswer: -0.2, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 30 = 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9795 by 3.\nAnswer: -3265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 131802 and 279580?\nAnswer: 9226140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, -2112, -5878, -11172, -18000, -26368, -36282, -47748?\nAnswer: -60772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 11:26 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2*a - 1)*(-3 - 3 + 0) - 2*a + 9 + 9 + 3*a)*(0 + 0 - 1)*(2 + 2*a - 10*a + 7*a)*(-3 + 0 + 2).\nAnswer: -13*a**2 + 8*a + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 363 or -2.6?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3208439 and 8593?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/(6\/(-12))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174278956 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**2)**(-38) assuming v is positive.\nAnswer: v**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 1. Let p be c(-4). Let n(m) = 3*m**2 - 3*m - 3. Let v be n(p). Let w be 20\/24*-8*-3. Solve 3*r - v = -g + 3*g, 0 = 4*r - w for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25485 + 1152. List the prime factors of w.\nAnswer: 3, 13, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 0 + 1\/8*w**4 - 1\/2*w**3 + 0*w - 91\/120*w**6 + 78*w**2 + 0*w**5. What is the second derivative of h(b) wrt b?\nAnswer: -546*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 11:55 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 257 (b) 0.3 (c) -201.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13818.30815 - -12631.3?\nAnswer: -1187.00815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/6)\/((-7)\/147). Let z be 457\/f - 2\/7. What is the highest common divisor of z and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4) - 3\/(4 - -8)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 257\/11844 - -2\/329. Let w(o) be the second derivative of -1\/18*o**3 + x*o**4 + 2*o + 0*o**2 + 0. Determine t, given that w(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 46 (c) 15\/34 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -146670915.\nAnswer: -146670915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 25 = 104. Suppose -3*u + 29 = -h. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 8*w**2 - 6*w - 6. Give d(-6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 - 3*k - 23. Let j be d(13). Let t = j + 108. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21.4? (a) 6\/5 (b) -0.41 (c) -1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ctoztnf. Give prob of picking 1 c, 1 o, and 1 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 4 (c) 36446\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21 + (-6392)\/306)\/(((-1)\/(-6))\/(-1)). Let y = 35 - 12. Which is smaller: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (5 - (-3 + (4 - (-2 - 63))))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0 = 3. Let z be (0 + -1)\/((-4)\/8). Suppose -3*v = o, l - 6*l = -z*v - 27. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, b: 2, s: 2, x: 2, d: 1, i: 1}. Give prob of sequence bd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*p**3*w - 103*p**2*w**2 + 4702*w**2 wrt p.\nAnswer: -42*p**2*w - 206*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/54)\/((-13)\/((-6240)\/(-10)))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 669*-2.\nAnswer: -1338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*i)*(-1 + 2 - 2)*(-7 - 7 + 0) to l + r*i and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -10. Let q = 16 + y. Which is the biggest value? (a) q (b) 2\/15 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 6*t**2 + 3*t + 1. Give z(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1868 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11.69 > -21\/52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 5:14 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -502, -489, -476, -463?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -z - 12, 3*r = 5*r + 5*z - 4. Let c(k) = -2*k + 20. Is c(r) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5015 + -4?\nAnswer: -5023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699072 is divided by 125.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + sqrt(1377) + (-2*sqrt(1377) + sqrt(1377) - sqrt(1377)) + -4 + sqrt(1377)))**2.\nAnswer: 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4047*t**2*w**2 + 35*t**2*w - 42757709*t**2 - 8*w**2 with respect to w.\nAnswer: 8094*t**2*w + 35*t**2 - 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1284*m + 1279*m - 5 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 9, -4, -16 in increasing order.\nAnswer: -16, -4, 2, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -18. Suppose -5*g + 29 = y. Solve -1 = 4*s + r, -s + 6*r - 7 = g*r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 67 = 5*i, 5*y + 4*i - 40 - 121 = 0. Suppose 3*u + 23 = y. What is the third derivative of -z**4 + 2*z**2 + 2*z**u - 6*z**2 - 4*z**4 wrt z?\nAnswer: -120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1524186885 to the power of 1\/2, to the nearest integer?\nAnswer: 39041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4147923 or 4147920?\nAnswer: 4147920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17, -14494, 10?\nAnswer: -14494","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (((-82)\/(-287))\/((-2)\/28) - -6). Put 3, 0.059, q, -0.11 in increasing order.\nAnswer: -0.11, q, 0.059, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 6*f**2 + 25 + 24.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*i**2 + 589304*i - 589304*i - 1282*i**2.\nAnswer: -1399*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + x**2 + 2*x + 1. Let g be j(-2). Let n(h) = -11*h + 7. Let c(a) = -2*a - 4. Let t be c(-4). Let b(s) = -6*s + 4. Calculate g*b(v) + t*n(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*m + 33, -4*d + 0 = -5*m + 38. Solve -6*p - 2 = m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8364 times -8774?\nAnswer: -73385736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 2:49 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from {a: 5, t: 4, j: 1, p: 1, l: 4, n: 3}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - -29) + 12 + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1592 - 5?\nAnswer: -1597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -152 (base 7) to base 8\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-123)\/39 - (-50)\/325. Let u(m) = -6*m**2 + 14*m. Let k(q) = 2*q**2 - 5*q. Calculate y*u(h) - 8*k(h).\nAnswer: 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, p: 5, z: 6}. What is prob of picking 3 p?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 + -0.2. Let x = -3 - -2.66. Let s = -0.14 - x. What is the nearest to -0.1 in w, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7462 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 556 + -308. Suppose 3*a + g = 22, -3*g + 3 = 2*a - 7. Calculate the greatest common divisor of a and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*n**3 - 2*n**3 - 5*n**3 + 9*n**2 wrt n.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(10\/3)\/j)**(-15) assuming j is positive.\nAnswer: j**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/807 and 167\/30?\nAnswer: 8070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + sqrt(704)*5 - -1*sqrt(4400))\/(2*sqrt(4)*4 - -3*sqrt(16)\/sqrt(4)) + 5.\nAnswer: 5 + 31*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (9 - (6 + -8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8217 - 12061?\nAnswer: -4945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**5 + 5*c**4 - 48*c. Let p(l) = -4*l**5 - 4*l**4 + 47*l. Let j(f) = -4*p(f) - 5*s(f). What is the second derivative of j(n) wrt n?\nAnswer: 20*n**3 - 108*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44170 to the nearest 1000.\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1832303157?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 459 + 149 = 0. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0373 in -2, -1\/9, -2\/19, -0.3, -1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -3) + (-2 - 7)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - -0.06. Let y = a + -0.1. Let g = -0.24000011 - y. What is g rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 39 in decreasing order.\nAnswer: 39, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1875 and 150.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*1\/(9\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38683700 to the power of 1\/2, to the nearest integer?\nAnswer: 6220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -3\/4, 4\/47, -0.7, -1?\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -414.774 - -417. Let i = -0.056 + q. Let k = i + -2.17000127. Round k to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11703329 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(500) - (sqrt(500) + 2)) + 3)**2 + (1 + (sqrt(500) - (-4 + sqrt(500))))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from {e: 2, j: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-12))\/(63\/(-24)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4\/3 - 74055536*a**3 - 2056583404592736*a**2 = 0.\nAnswer: -55541652, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 3410*f - 3412.\nAnswer: 2*(f - 1)*(f + 1706)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -39605, -39604, -39603, -39602?\n\"Answer: n - 39606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -389 in 6\/7, 5, -606, -3\/2?\nAnswer: -606","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (19\/(-38))\/(5\/2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -10*p**3\/3 + 31*p**2 + 43*p - 83. Let j(l) be the first derivative of f(l). What is the derivative of j(k) wrt k?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 2*d + 1. Let i be g(-1). Suppose i = -2*b + 10, t + 0*t - 29 = -3*b. Calculate the remainder when 53 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2937040502 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrrrv. What is prob of picking 3 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 834 is divided by 823?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -529, -2175, -4967, -8941, -14133, -20579, -28315, -37377?\nAnswer: -47801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 525*y + 1577. Calculate the smallest common multiple of 10694 and c(-3).\nAnswer: 117634","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2967938 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88962 - -151135. Is 277 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25272, 25246, 25206, 25146, 25060, 24942, 24786, 24586?\n\"Answer: -n**3 - n**2 - 16*n + 25290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of (-4 - -4)\/(-1) + 909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - z + 5*z**3 + 5*z**3 - 12*z**3 + 0 - 4*z**4 + 2*z**4 + 2*z**2 to u*z**4 + s + t*z**3 + n*z**2 + c*z and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 225 + 2*x - x + 74 - 299.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.0215 + -0.0215. Let d be -5*2\/12 + -2 - -3. What is the third smallest value in 3, 0.1, t, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 6*u + 5*u**2 - 7*u + 5*u - 7. Let d be m(3). Let z = d + -47. Solve -3*p - 12 = o, 3*p = 5*o - z*o - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 10\/1 - 0. Let i be (44\/y)\/(2\/4). Let w = i - -28. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2*f**2 + 2*f - 2*f**2 + f**2 + 3*f**2 + (7 + 17*f - 7)*(-1018 + 126*f + 1018))*(6*f - 3*f - 2*f).\nAnswer: 2146*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*a + 39*a = 12. Suppose -30*z**3 + 5*z**2 - a*z**2 + 31*z**3 = 0. Calculate z.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 13*y**2 - 1. Let p(s) = -s**3 + 9*s**2 + 4*s - 28. What is the lowest common multiple of p(9) and t(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 36 = 2*a, 5*x + 2*a = 65 + 75. Is (-11706)\/(-15) - x\/65 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - 41. What is the smallest value in b, -0.4, 0, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l = 27*l + 24. Suppose n = l*q + 19, -2*q - 5 + 1 = 0. Solve -25 = n*y - 8*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - 4\/(1 - 2). Suppose 0 = 4*k + b - 14. Is 9\/3 + (56 - k) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 2*l**2 + 2*l - 4. Let p be a(6). Let q = -83 + p. Is ((-1)\/1*q)\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 2480.\nAnswer: -3\/2480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -17*w**6\/40 - w**5\/20 + 143*w**4\/12 + 288*w**2. What is the second derivative of t(i) wrt i?\nAnswer: -306*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shhsshssshszssshh. What is prob of picking 1 h and 3 s?\nAnswer: 36\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 79 = 3*h + 3*a, -2*a + 206 = -5*h. Suppose -5*l - 196 = -9*l. Let g = h + l. What is the remainder when g is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -788755, -788756, -788757, -788758, -788759?\nAnswer: -788760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4106750 and 400.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -1 - 5 - (0 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -46, -53, -60, -67?\n\"Answer: -7*c - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -8. Let r = 0.7 + -0.4. Let m = 0.3 - r. Is m greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 4. Let w(c) = -c**2 + 6*c + 3. Let f be w(6). Suppose -4*d - m = -2*p, f*p = -p - 4*d + 4. Solve 2*t - 5 = -p*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 2 = 4*u - 3*a, 6 = -4*u + 7*a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/((7\/(-105))\/(-1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 3*u - 5, -2*x + 7*u - 3*u - 10 = 0. Let n = 4 + x. Suppose q + 2*v = n, 2*v - 27 = -5*q - 2*v. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9441, -9446, -9451, -9456, -9461, -9466?\nAnswer: -9471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 1793, 5967, 14067, 27401, 47277?\nAnswer: 75003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-66)\/8*3\/(3\/(-20)). Let n be (-12)\/(-8) + (-54)\/(-8)*2. What is the greatest common factor of j and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**5 - 20*a**4 - 36*a**3 + 196*a**2 - 32*a - 240 = 0. Calculate a.\nAnswer: -3, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -25224672.1 rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 16146*a**2 - 5*a + 38. Let q(u) = 10764*u**2 - 3*u + 24. Let g(c) = -5*n(c) + 8*q(c). Is g(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -4.428.\nAnswer: 2.214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 7:21 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 9 = -0*a + 2*a + 3*v + 1, -4*v - 366 = -3*a - 330 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35\/2 + -17. Let w = -1582 + 1565.09. Let p = w - -17. Put -1, p, o in decreasing order.\nAnswer: o, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 2*m**2 + 4*m. Let h be s(-6). Let p be ((-1)\/2)\/((-2)\/h). Suppose f + p = 3*f. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**2 - 6*b - 1. Let j(f) = f + 2. Let z = 1024 + -1016. Calculate z*j(a) + 3*d(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 10:02 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123674.\nAnswer: 2, 61837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 4. Let h(z) = -2*z - 18. Let k(v) = -v - 5. Let n(l) = 3*l + 16. Let c(r) = -11*k(r) - 4*n(r). Let m(y) = o*h(y) + 5*c(y). Determine m(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.9 + 73471316.\nAnswer: 73471324.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*-2*5\/(-6).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vllvlvv. What is prob of sequence vl?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678 is divided by 181?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by -3\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 6 + (-5 + 3 + 0)*(1 - 2 - 1) + 3 + 5 + 1)*(-2*x + 8*x + 2*x).\nAnswer: 144*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/12)\/((i*i**22)\/i))**(2\/19))**(13\/5) assuming i is positive.\nAnswer: i**(-689\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, h: 6, a: 1, p: 2, l: 1}. What is prob of picking 1 i and 1 h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/478611 and 151\/136746?\nAnswer: 957222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 770 is divided by (-2)\/(-5) + 53440\/400?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.364*-19\nAnswer: 6.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*z - 9*z + 129 - 68*z.\nAnswer: z + 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.99 - -3. Let j = -59.2193 + 58.7193. Put c, j, 5, -0.3 in decreasing order.\nAnswer: 5, c, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 142*c - 227*c - 287*c - 504*c - 2 in the form n + h*c and give h.\nAnswer: -876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -364, 5, -4, 3 in descending order.\nAnswer: 5, 3, -4, -364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13\/355 + -22997\/2130. Find the common denominator of i and 123\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*j - 8 + 20 = 0, -4*b + 4*j + 12 = 0. Let a = 12 + b. Let y be 0\/(a\/(-3)) - -55. What is the highest common divisor of 22 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.32 - -2\nAnswer: -12.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(567\/(-182)))\/(2*(-1)\/(-3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2559371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5))**(-44)\/(m**(-9)\/(m*m**(-1\/3))) assuming m is positive.\nAnswer: m**(-119\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4027 * 5.\nAnswer: -7.0135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (-49 - (-18 + -11)) + -14\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 197\/1380 and ((-1)\/(-12))\/((-5980)\/78*(-3)\/279)?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 1 = -3*n + 22, j + 3*n = -3. Let i(u) = 12*u - 11. Let g(w) = 5*w - 5. Let y be 14\/3 - 3\/(-9). Let x(z) = y*g(z) - 2*i(z). Give x(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -2127d054?\nAnswer: 2127d052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 276 and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5\/7 + 1632*r**4\/7 - 201060*r**3\/7 + 4473208*r**2\/7 + 78511026*r\/7 - 82784808\/7 = 0.\nAnswer: -927, -12, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-60)\/16*(-72)\/(-108). Which is the third smallest value? (a) -4 (b) v (c) -175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 + -95. Let l(q) = 36*q + 145. Let s be l(n). Which is bigger: s or 2\/603?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5636 - -3336. Round k to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6}. Give prob of picking 4 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5082 - 5097. Let j(t) = 16*t - 5. Let a(r) = -r + 1. What is f*a(c) - 3*j(c)?\nAnswer: -33*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 14*u = 7*u. Suppose 8*v - 3*v - 1540 = u. Suppose -15*h + v = -13*h. What is the remainder when h is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 977*t + 104*t + 16807 + 41567 = 0 for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131255539.\nAnswer: 37, 797, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 13*o**2 + 78*o + 7. Let p be 3\/(-9)*-5*3. Suppose 28 = 4*q + 4*d, -2*d + 5*d = p*q - 11. Calculate the least common multiple of f(-6) and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -429 - -436. Suppose -35*f = -i*f + 112. Sort -0.5, 88, -2, f in decreasing order.\nAnswer: 88, -0.5, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 506 = 47*n + n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222 - -202212?\nAnswer: 201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.076 times -9393.797?\nAnswer: 713.928572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 192 - 287. Does 11 divide (-44925)\/q - 10\/(-95)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167187 = -329*r - 18150. Calculate the remainder when r is divided by 48.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 170 = -4*g, 5*n - 2*n - 6*n = -12*g + 102 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -253644064 (base 7) to base 6\nAnswer: -1333201104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51209\/51 + 1004. Let u = 317\/2193 + b. Sort -1, -1\/6, u.\nAnswer: -1, -1\/6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 4\/5 (b) 0.5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2 - 4*t + 8 + 6*t - 3*t. Let q be l(7). Suppose 5*h - 106 = -q*y, 5*y + h - 76 - 64 = 0. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9088 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 3114.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 712 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1995119234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57*l*o**3*u**2 + 151*l*o**3*u + 2*l*o + 2*l*u**2 - 31*o**3*u**2 + o**3 wrt u.\nAnswer: 114*l*o**3 + 4*l - 62*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q**2 + 3741*q - 7792. Let g(t) = -t**2 - 748*t + 1557. Let r(b) = -2*f(b) - 11*g(b). What is the derivative of r(z) wrt z?\nAnswer: -2*z + 746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 11:48 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 0)*1\/2. Suppose r*h + 55 = h. Let i = h + 8. What is the greatest common factor of 21 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -39*m**2 + 6*m - 12. Let j be a(4). Let x = j + -78. Does 22 divide 1\/3 - (x\/(-9))\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-18))\/(-1 - 1). Suppose v = -4*z + 29, -v + 19 - 39 = -3*z. Which is greater: a or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12500302?\nAnswer: 2, 37, 251, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 169.7 times -0.5?\nAnswer: -84.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 14*z = 228. Let o = z - 35. Suppose -8449 = -o*h - 2*l, 10*l - 2803 = -h + 6*l. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/64)\/(12\/(-96)). Let l(a) = -5*a. Let b(w) = -8*w - 2. Let n(s) = 4*s + 1. Let m(i) = 3*b(i) + 7*n(i). Determine q*l(f) - 4*m(f).\nAnswer: -f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -117 at least -1274\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-150))\/((-11)\/495*12)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - o**2 - o - 1. Let c be j(2). Let k = 1 + c. Let t be 5 + -3 + (1 - 1). Solve -k*h - 6 = t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + i + 26 = -3*w, 4*i - 128 = 4*w. What is the remainder when 203 is divided by i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**4 - 67*i**3 + 511*i**2 - 533*i - 1110 = 0. Calculate i.\nAnswer: -74, -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71eb98 (base 16) to base 14.\nAnswer: -dc4b32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2030 and 3954730?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -48659177*o**3*v**2*z + 4*o**3*z - 5*o**3 - 65*o*z - 6*o - 2*v*z - 4*z - 5 wrt v.\nAnswer: -97318354*o**3*v*z - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 731237 + 731237. Let s(f) be the second derivative of f**7\/2520 - f**4\/4 - 5*f. Let z(j) be the third derivative of s(j). What is q(z(o))?\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*v - 90 = 50*v. Solve -d = 4*n - 8 - v, -3*n - 2*d + 11 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3185768*q**5 - 2140994*q**2.\nAnswer: -191146080*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*f**4 + 125*f**3 + 2585*f**2 wrt f.\nAnswer: 144*f + 750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 8248*h - 750420.\nAnswer: (h - 90)*(h + 8338)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 123257212401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1258.7*2.\nAnswer: -2517.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2937316, -5874637, -8811958?\n\"Answer: -2937321*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0 = -2. Is (x*3)\/((-7)\/(-35)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 2\/13, 2\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w - 34. Let z(i) = -2*i**2 - 3*i. Let u be z(-3). Let d be v(u). Suppose d*a = 13*a - 356. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32823, 65606, 98389?\nAnswer: 131172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 596*z - 426633. Determine v(-420).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -35*v**3\/3 - 15*v**2\/2 + 19*v - 2. What is the first derivative of p(z) wrt z?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504798 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/(-117) - -1*(-62889)\/(-27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*o + 471 - 471 + 1083*o as w + d*o and give d.\nAnswer: 1037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 16846494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 136 = -138. What is the closest to j in 0.1, -65, -1\/3, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 10:02 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2454 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 - 3 + 3)*(-12013*u - 89 + 138 - 49).\nAnswer: -24026*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/5)\/(-24*(-11)\/880)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2. Let d(q) = 2*q**3 - 19*q**2 + 8*q + 13. Let t be d(9). Solve -t*m + c*m = -12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l + 37. Determine d(-30).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16189427?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59996616 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-762)\/4)\/(-6 - (-40536)\/6752). Is (0 + (-9)\/18)*y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -4. Suppose 6*y - z*y - 162 = 0. Let s = -17 + y. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 1\/15*s**5 + 0*s**3 + 0*s + 0*s**4 - 8*s**2 + 0 + 1\/60*s**6. What is the third derivative of o(h) wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27125872.55 + -193?\nAnswer: -27126065.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1 = -7, -5*b + 22 = 2*v. Let c(g) = 2*g**3 - 3*g - 2*g**2 + 9*g**2 - 5*g**2 + 4 + g**2. Let o(l) = 1 + l + 5 - 7. Calculate v*c(m) + 4*o(m).\nAnswer: 2*m**3 + 3*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.4 (b) -1\/2 (c) 1\/3 (d) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 37*(16\/(-24) + 28\/6). What is the greatest common factor of 37 and s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1788 - 1791. What is the second smallest value in k, -12, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 528*d**5 - 1582*d**2 wrt d?\nAnswer: 31680*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*i*p**2 + 22083*i*p - i - 2*p**2 - 289*p + 155 wrt i?\nAnswer: 4*p**2 + 22083*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-198)\/216)*(3 + -7). Factor 1\/3 - 2\/3*g + f*g**2.\nAnswer: (g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-211)\/5908)\/(8\/2))\/(4\/(-7))?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -37*d**3 + 3*d**2 - 3*d - 3. Suppose 456 = -576*v + 424*v. Let x(j) = -75*j**3 + 5*j**2 - 5*j - 5. Determine v*x(o) + 5*c(o).\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 44 times 5.2\nAnswer: 228.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 129412628 to the power of 1\/3, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 9*x + 4*k + 2085, 0 = 5*x + k - 2110. List the prime factors of x.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 513 + 15?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 99 divided by -11\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, b: 5}. Give prob of picking 4 u.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18377460 to the power of 1\/3, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 229 - 228.95. Sort x, 1.3, 1\/7 in increasing order.\nAnswer: x, 1\/7, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.11 - 0.11. Let j = -0.4979 + 0.6979. Which is the second smallest value? (a) n (b) 0 (c) j (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 0*v + 3*v - v. Let z(g) be the second derivative of 2*g**3\/3 + 37*g. Calculate z(a(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 159497 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 1510259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 1:26 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 88068693?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -700*x + 6436. Is 141 a factor of y(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2259 + 1110.\nAnswer: 3369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 137, 131, 127, 125?\n\"Answer: i**2 - 9*i + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1960 = -6*h + 182. Let d = h - 211. What are the prime factors of d?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -320863 or 312?\nAnswer: -320863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 902 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 9*l - 24 = 2*u - 2*l, 2*l - 64 = -4*u + 19*l + l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -241*j - 1364.\nAnswer: -241","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5270\/(-238) + 23)\/(6\/14). Solve -7*x - 1 = -8*x - 3*h, g*h = -3*x + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -102 - (-2132 + 2044).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 32 - 26 - (0 - 15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u + 2*u + 13*u**4 + u**2 + 4*u**4 + 2*u**3 in the form d*u**2 + g*u**3 + t*u + x + f*u**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.053 - -34.947. Let w = o - 34.79. What is w rounded to 2 decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74954.56 plus 0.1478?\nAnswer: -74954.4122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*s - 7. Suppose 0 = -o - 2 - 2, -5*z + s*o + 18 = 0. Solve -z*q + 4*q - 6 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -33834*a + 2097700. What is b(62)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d**(2\/25)*d*d))\/d)\/d**(-2\/11))**(-42)*(d**4\/(d*(d**(3\/5)\/d)\/d*d))**(-26) assuming d is positive.\nAnswer: d**(9164\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14008653 and -0.1421?\nAnswer: 14008653.1421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -319.84373 + -0.05627. Let r = 320 + f. Which is the biggest value? (a) 0.5 (b) r (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y**4 + 915531*y**3 - 1373310*y**2 + 3*y + 457770 = 0. Calculate y.\nAnswer: -152590, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55923297*p**2 + 111846600*p**2 - 55923301*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.75 and 59.\nAnswer: 103.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 8*k - 27 = -7*k, -21 = 3*r + k. Let v be 1\/(-5) + (48\/(-10) - r). What is the highest common factor of v and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*a - 60*a = 21. Suppose -a*d = 10*d - 6528. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 808211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqbbq. What is prob of sequence bq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 6*c + 4. Let f be a(5). Let r be (213\/2 - f)*2. Let k = r + -106. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - 2*x - 2*x)*(3*x + 0*x - 2*x) + (15 + 23*x - 15 + (6 + 8 - 13)*(-2*x + 0*x + x))*(-1 + 0 + 0)*(-x - 4*x - 2*x).\nAnswer: 156*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b**3 + 453*b**2 - 922*b**2 + 469*b**2 - 11*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 416908 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.36 (b) -1 (c) 2\/2773\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 214, 260, 304, 346, 386, 424?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*u + 8242 = 51*u. Let l = 668 - u. What is the remainder when l is divided by 26?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 322 and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 95556*b**2 - 4. Let z be x(3). Round z to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1806 by -19.\nAnswer: 1806\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 2*a + 4. Let b be j(3). Suppose b = 3*r - 8. Solve 2*q = r*q - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 47. What is the units digit of (3 - (l - 6)) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -17, 2253 in ascending order.\nAnswer: -17, 1, 2253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 375666*g + 11760411963.\nAnswer: 3*(g + 62611)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 - -3.7. Let x be ((-188)\/24 - -8) + (-5)\/6. Let r = -5\/12 - x. What is the smallest value in r, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 times 32.58\nAnswer: -8.4708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 - 47. Let x = -1.4 - -1.4. What is the third biggest value in -0.3, u, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36.1 - 125.9. Let k = -149.98314715 - 12.01684615. Let s = y - k. Round s to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(-2))\/(3\/(-6)). Suppose t*a - 143 = -5*w + w, 3*w = -5*a + 146. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-3))\/(14\/(-14)*-2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13\/3? (a) 4\/9 (b) -1\/4 (c) 1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**(-10)*l))\/(l**(-1\/6)*l))\/((l**(-3\/7)\/l)\/l**2))**24 assuming l is positive.\nAnswer: l**(2116\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 15\/24*(-10)\/125*5\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 13*l - 42. Is (4\/(-10))\/(l\/(-7945)) a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -2*k**2 + 7\/15*k**5 - 11\/4*k**4 + 24 - 8\/3*k + 46\/9*k**3. Factor a(g).\nAnswer: (g - 2)**2*(g - 1)*(7*g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*x + 4 = 119*x + 496 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 9*n**2 - 4*n. Let a be f(3). Suppose 0 = 5*z + m - a, 3*z - 4*m + 42 = 5*z. What is the remainder when 36 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*s - 440, -7*s = 2*m - 12*s - 207. Suppose 0 = 97*v - m*v - 546. What are the prime factors of v?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 5. Let m(u) be the second derivative of u**3\/6 + 5*u**2\/2 - 3*u. Let q be m(-3). Solve -q*f + 0*f = w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j**2 + 7*j**2 + j**2 + 7 - 2*j. Let s(m) = m**2 - m + 1. Let d(c) = o(c) - 4*s(c). What is h in d(h) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29502 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: Factor 3*d**3 - 60*d**2 - 129*d - 66.\nAnswer: 3*(d - 22)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 572 + -1717\/3. Suppose 4*c - 6 = -26. Let n = c - -4. Which is bigger: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-3168)*8)\/(129\/(-1161)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21848\/18 + (-9)\/((-2592)\/64) is divided by 53?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 = 0, 3*x + 53 = 4*b + 8. Let y be (-14)\/(-12) - 2\/b. Suppose -4*o + y = -7. Calculate the remainder when o is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10102 - -221?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 52 + 47 - 99 - 13*s - 4*s**2. Let h(o) = 2*o**2. What is y(h(t))?\nAnswer: -16*t**4 - 26*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in 2\/11, 358, 95\/13?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 36 * 6437282\nAnswer: 231742152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7186442 divided by 4\nAnswer: 3593221\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 42050863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 265984, 265988, 265994, 266002?\n\"Answer: t**2 + t + 265982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 578173 to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (138\/(-60))\/(58\/8 + -7) - -9. Which is the biggest value? (a) p (b) 7 (c) 1\/15 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 446*l + 9168. Calculate g(-20).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3241 (base 5) to base 10.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 10*o**2 - 33*o - 180. Determine w(-9).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 31 = -5*p, -2*p + 0*b - 16 = -2*b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02286788 + -4189.\nAnswer: -4188.97713212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -2\/3, 3.3, 1\/6?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31152331741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z - 75. Suppose 0 = 3*c - z + 75. Let a = -3 - c. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 216*t. Let o be w(-1). Let d = -136 - o. What is the highest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*q = 396, -137 = 5*y - 3*q + 523. Does 21 divide (-2 + y\/8)*-14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5074.016 hours to nanoseconds.\nAnswer: 18266457600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -147*s + 2509. Let u be a(17). Let b(y) = -14*y + 8. Let q(t) = t - 1. What is u*q(o) + b(o)?\nAnswer: -4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 5*n**2 - 5*n - 3. Let w(b) = -b**2 + 11*b + 75. Let f be w(-5). Calculate the remainder when 2 + 127 + (1 - 0) is divided by i(f).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -219 + 214. Let z(q) = 5*q - 27. Let k(g) be the first derivative of 5*g**2 - 54*g + 6. Let x(r) = l*z(r) + 2*k(r). Differentiate x(j) wrt j.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*b + 5*x, -55002*b + 4*x + 15 = -55003*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -3254513135?\nAnswer: -3254513130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1211669 is divided by 63769?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x = 320 + 105. Let s = -0.7 - -0.5. What is the closest to s in 3, x, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 147 = -3*p, -2*p - 188 - 36 = -5*b. What is the second derivative of -7*o**4 + 2 - 4*o**4 + b*o**4 - o + 22*o**4 wrt o?\nAnswer: 684*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 3*g + 2. Let f be h(3). Suppose 205 = 3*k + f*k. List the prime factors of k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152824619 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 583 divide 79563853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 916\/3 + -305. Let -1\/3 + p*i**2 + 0*i = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**8\/672 - 3*c**7\/140 - 7*c**6\/80 - 19*c**5\/120 - c**4\/8 - 12*c**2 - 13. Factor y(i).\nAnswer: -i*(i + 1)**3*(i + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 75973, 152373, 228785, 305215, 381669?\n\"Answer: a**3 + 76393*a - 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 - k**2 + 0*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1650)\/(-1155))\/((-44)\/84)\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6899.753 litres?\nAnswer: 6899753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)*w)\/(w\/(w*w\/(w**(12\/7)*w)*w))*(w**(7\/4)\/w)\/(w*w**(-10\/3)) assuming w is positive.\nAnswer: w**(199\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 35. Solve -2*j + n*j = 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 98403820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/9 (b) -0.3 (c) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d**2 + 3*d. Let t = -1 + -1. Let f be v(t). Solve -4*q + 5*r - 25 = 0, -9 - f = 5*q - 2*r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x**2 - 13*x - 9. Suppose -f + 3 = 13. Is m(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 289.2 - 289. What is the biggest value in 0.1, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*h - 98*h = 0. Let d = -9 + 3. Let o = -8 - d. Which is the nearest to h? (a) -5 (b) o (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i + 89. Let q be y(-21). Suppose 5*c + 1 = -2*g - 1, -q*g = -c - 22. Solve 13*t = 14*t - g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ghghhgggggggghgggg?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a = 2. Let f(o) = 6 - o**2 + 2*o**a - 2*o - 2*o**2. Let c be f(-5). Which is bigger: -8 or c?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-192)\/(-45))\/2)\/(504\/(-90))\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, 419, -4, 10 in descending order.\nAnswer: 419, 10, 3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 4) in base 15?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -107*l. Let j(i) = 2*i. What is j(k(h))?\nAnswer: -214*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15289297*u**2*x**2 - 4355700*u**2*x - u*x wrt x?\nAnswer: -30578594*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbggb. What is prob of picking 2 b and 1 g?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 168 - 1178\/7. Suppose -4*x + 28 = -4*y, 6*y + 5*x = y - 15. Which is the closest to -2\/7? (a) y (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19702 - -13a2?\nAnswer: -18330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 18*y + 44*y = 10*y + 666 + 65, 67 = -3*l + 5*y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (-1*sqrt(147) + 0 - (4 + sqrt(147))*2)).\nAnswer: 10 + 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -130 or 29200?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 1. Let q(b) = b**2 + 7*b + 2. Let d(a) = q(a) - 4*s(a). Let h be d(-3). Suppose -6 = -h*v + 4*v. Solve v*w = -2 + 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 799.56*-5\nAnswer: -3997.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2124)\/(-177))\/(128\/(-8)))\/((-3)\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*g + 1531 + 172. Suppose g = -16*t - 61. Let f = -3.91 - 0.09. Which is the smallest value? (a) 0 (b) t (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 25, -1\/2, 11, 1, 5?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17754564?\nAnswer: 2, 3, 1479547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2273 or 1?\nAnswer: -2\/2273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2318428 rounded to 3 decimal places?\nAnswer: 0.232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/280 and -58\/15.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35070 is divided by 47921\/346 + (-3)\/2.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - -60. Let q = -76.6 + j. What is the fourth smallest value in -0.3, -1\/4, -1\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6909944ml?\nAnswer: 0.0006909944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 - 7*f**2 - 10. Let c be (-5)\/2*32\/(-40). Let a(v) = v**3 - 2*v**2 - 3. Give c*n(u) - 7*a(u).\nAnswer: -3*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - -1. Differentiate 2*g - 5 + t*g + 15 + 3*g wrt g.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.2, 22\/1239 in ascending order.\nAnswer: -0.2, 22\/1239, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - m**2 - m + 13. Let j be (-8 - -5) + 0 + 3 + 0. Suppose 4*r + j + 0 = 0. What is u(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l - 32 = -89 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + sqrt(272)*-1)*2 - -4*(-6*(sqrt(2448) - ((sqrt(2448) + 0 + 0 - sqrt(2448)) + sqrt(2448))))**2.\nAnswer: -40 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 162 + -201. Sort l, 5, -3, 4\/3.\nAnswer: l, -3, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 + 55*g\/3 + 38.\nAnswer: -(g - 57)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*n + 2. Let h be 1 - ((-4 - 1) + n). Let v(l) = -l**2 + 9*l + 6. Is v(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k - 4*k + 4*k)*(17 - 12*k + 9*k + 5*k) to the form p*k + l + c*k**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0928046635 - -73.2.\nAnswer: 73.1071953365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a = 4*r - 530, -3*r = -2*a + 235. Let y = a - 44. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/(5*(-153)\/(-360)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*c + 4*c - 387, 0 = 2*m + 3*c - 775. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021111021 - -2102?\nAnswer: 1021120200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 8*l + 6*l - 3025000 = 0, -2*o - 3*l + 1210000 = 0. What is o rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(0 + (0 - -2))\/((-140)\/(-105)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -0*f + f + w, 5*f - 128 = w. Solve f = 19*s + 120 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - p**2 - 4*p + 4. Let s be t(3). Let k(b) = 0 + 2*b - 3*b**2 + 11*b**3 - s*b**3 + 7*b + 3. Does 6 divide k(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48.4 + 48.40118. What is t rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - -32 - (4 + -1 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 4803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 6:26 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**2 + c**2 + 18*c - 2 - 29*c as s*c**2 + x*c + g and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16331514 is divided by 1280.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 1104*g - 11621. Calculate the remainder when u(12) is divided by 126.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 17. Let t = -3 - j. Suppose 4*p - 1 = -a - 2*a, t*a - 16 = 5*p. Solve -a*z + 5*z + 6 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*g**2 - 18*g**2 + 12*g**4 - g**4 + 0*g**4 + 0*g**4 + g**4 + g - g + (-2 - 1 + 1)*(0*g**4 + 3*g**4 - 5*g**4).\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, p: 2, u: 1, f: 7}. Give prob of sequence pufp.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i + 2. Suppose 2*s = -2*d, -5*d - 5 - 1 = 2*s. List the prime factors of w(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06 + -0.94. Let m = -2 - -1. Which is the closest to m? (a) -3\/4 (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -446.8? (a) -3\/4 (b) 0.3 (c) 1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 3\/5*h**5 + 20\/3*h**3 + 1\/60*h**6 - 13\/4*h**4 + 0*h + 0 + 120*h**2. Factor w(s).\nAnswer: 2*(s - 1)**2*(s + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -472059, -944403, -1416747, -1889091, -2361435, -2833779?\n\"Answer: -472344*z + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 106495860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -5, 1, 169 in increasing order.\nAnswer: -5, -3\/7, 1, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2731848 divided by 12\nAnswer: -227654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/2 of a minute in seconds?\nAnswer: 2610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 129*z - 129*z + 30*z**4 + (-2*z**3 - 2*z**3 - z**3)*(z + 2*z + 2*z).\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5654*z + 5734*z = 11300*z - 2112 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y**2 - 16*y**2 + 7*y**2 + y**3 + 4*y - 2*y**2 + y. What is p(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 2:02 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -49*k**5\/12 + 1015*k**4\/12 - 4205*k**3\/6 - 2132*k**2. Solve l(g) = 0.\nAnswer: 29\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1821416108.73734 - 1821355142. Let n = 61036.73734047 - a. Let x = -70 + n. Round x to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 16*n**2 - 93*n - 135. Let u be c(21). Suppose -4*f = -5*f + 18. Suppose 0 = -3*m + f + 9. What is the highest common factor of u and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -77?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 314253683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17, 21, 27, 35?\n\"Answer: l**2 + l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -25*n**2 + 2*n + 41. Let s(y) = -y - 1. Let u(m) = -2*s(m) - z(m). What is the first derivative of u(o) wrt o?\nAnswer: 50*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-one eighths of a millisecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1107071 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1706372?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-385)\/(-10))\/(-11)*(-6)\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 229 - 176. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 + 68.8. Let q = 432\/11 - 18565\/473. What is the nearest to 0.1 in y, -0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-24))\/(10\/210)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 831*j**4 + 6985*j**3 - 72203208*j.\nAnswer: 9972*j**2 + 41910*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2275 + 3.7725. What is the nearest to 0.3 in i, -1\/3, -21, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16585690 divided by -1507790?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2626 is divided by 1313?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from {s: 1, d: 1, u: 1, h: 1, y: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllllllllllflllll. What is prob of picking 3 l?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i**2 + 5*i. Let n(u) = 48*u**2 + 36*u. Let h(z) = 36*b(z) - 5*n(z). Let q(a) = 4*a. What is q(h(g))?\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**6\/45 - x**4\/9 + x**2\/3 - 7*x. Suppose r(k) = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + -3 + (1*sqrt(832))**2 + -4.\nAnswer: 8*sqrt(13) + 825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -225, 2\/23, -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1593 + 1075. Calculate the least common multiple of (-11)\/(((-3)\/(-2))\/(-3)) and q\/63 + 8 + 164\/9.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2115771 and 2334.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (184\/8 - 3) + 1 + 2. Calculate the greatest common factor of l and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 7*c**2 + 28*c**2 - 3 - 19*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1\/(-1)) + (-165 - -173)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 103, 211, 319, 427, 535, 643?\n\"Answer: 108*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2417, 2419, 2421, 2423, 2425?\n\"Answer: 2*q + 2415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208313082.\nAnswer: 2, 3, 11572949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 1\/5, 39297, 4\/9.\nAnswer: 1\/5, 4\/9, 39, 39297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*z + 6, -3*q + 8*q = 0. Suppose z*t = -2*t + 36. What is the highest common divisor of 63 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - ((2 - 4) + -1). Suppose -m*p + 62 = -8. Calculate the lowest common multiple of p and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -167435 by -33487.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 86 or -260?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r + 3*r + r)*(-71 - 22*r + 71 + (6*r - 5*r - 4*r)*(0 + 3 - 4)) to u*r**2 + k*r + b and give u.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 10*v - 2. Let p be t(7). Let b = 13711 + -13641. Is b less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13812985111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 16.2, -26, 1\/3, -0.3, -17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.4, -45\/22?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**2 + 2*u**3 + 2*u**2)*(-437*u + 75*u + 19281 - 19281) in the form d*u**3 + x + o*u**2 + q*u**4 + p*u and give q.\nAnswer: -724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -42160055.2 and 1?\nAnswer: 42160056.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g - 21*g - 16 = 3*i, -5*i = -2*g + 22 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -273 + 34400357?\nAnswer: 34400064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g. Let w(v) be the second derivative of 121*v**3\/3 + 2*v + 685. Calculate r(w(n)).\nAnswer: -1210*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 + (-55 - 20) - 4.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 + 28 = -5*j. Suppose -12 = 2*z - 106. Calculate the remainder when z is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015492 rounded to 6 dps?\nAnswer: -0.000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1708 and 1159?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -15\/11 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -7*c + 8. Let f be 2*(4 + -3) - 0. Let x(d) = -5 - 6 + 0 - d + 7 + 4*d. Calculate f*y(h) + 5*x(h).\nAnswer: h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 8*a - 6. Let f be k(4). Suppose 5*m = 7*m - f. Suppose -16 = -4*s + 3*x, -2*s + m = -3*x - 1. Calculate the least common multiple of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c - 350. Let x(d) = -1207*d. What is v(x(k))?\nAnswer: -2414*k - 350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8*83\/(-249)*(-6)\/(-4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -5, 1\/6, -3, -4 in decreasing order.\nAnswer: 1\/6, -1\/2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2369 (base 14) in base 15?\nAnswer: 1c64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 17*t**2 + 59*t + 16. Calculate j(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 72*m. Let q be h(1). Let a = -45 + q. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h + 18 = 25*h. Let z(o) = -4*o - 24. Let r be z(h). Suppose -4*i - 241 + 1001 = r. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (4\/10)\/(-6*(-1)\/900)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*s = 2*j - 79*s - 3061, -3*j - 4*s + 4594 = 0. What are the prime factors of j?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -4*u + 37, -c + 4*u = 31 + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(1728))\/(-1*(sqrt(81)*-2 - sqrt(81))).\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 + 29*j - 3. Let q be m(15). Let g = 53 - q. What are the prime factors of g?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*h + 2*f + 2, -f - 35 = 5*h. Let m be (-3 - -2)*(-6 - h). Let x(l) = -l - 1. Give x(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*b + 9*k + 34*k + 112 = 22*b, -4*b = 3*k - 28 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -1. Suppose 2*i = a + 3. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 23*c**8\/56 - c**4\/4 - 9*c - 3. Let l(g) be the first derivative of q(g). Find the third derivative of l(j) wrt j.\nAnswer: 2760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/2*2\/(-6). Which is the biggest value? (a) v (b) -0.4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-1\/4)*n**(1\/2)*n**(-2\/9)*n\/n**4 assuming n is positive.\nAnswer: n**(-71\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.85488us to seconds.\nAnswer: 0.00000085488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*(-1 + -1*sqrt(396) + -1*(sqrt(11) + -1*sqrt(11) + sqrt(11)) + 0))**2 + 3.\nAnswer: 14*sqrt(11) + 538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1639*r + 21 - 66*r**3 - 1639*r - 28 + 7.\nAnswer: -66*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 14, c: 5}. Give prob of picking 1 c and 1 n.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 10*q**2 + 11*q - 16. Let k be l(9). Find the third derivative of -29*t**3 - 65*t**3 + 14 - 118 + 12 + 2*t**k wrt t.\nAnswer: -564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -13*a**2 - 586*a + 80. What are the prime factors of v(-45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486 - 234 = -46*b - 44*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**3*w**3 + h**3 - 21999*h**2*w + 64*h*w**2 - 3*h*w - 7*w**3 wrt w?\nAnswer: -6*h**3*w + 128*h - 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 340 and 425.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -502.5 + 498.5. Suppose -3*y = -18 + 3. Suppose -4*u = -3*u + 6. What is the closest to 1 in u, i, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 522 - -5?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -55100 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1625385 by 541795.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 4*p + 5. Let c(s) = 3*s**2 - 9*s + 8. Let q(k) = 5*a(k) - 3*c(k). What is the second derivative of q(b) wrt b?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5635878082?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 602956 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 8619118?\nAnswer: -2\/4309559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.986 - 1.786. Put -102, q, 2, 6\/7, -2 in descending order.\nAnswer: 2, 6\/7, q, -2, -102","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6617, -6489, -6351, -6197, -6021?\nAnswer: -5817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1573*f - 26. What are the prime factors of r(-1)?\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -509700 rounded to the nearest ten thousand?\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + 67. Let h = v - 94. Solve -4*r - 2*y = -18, 2*y - h = -4*r + y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12*1\/7 + 2. Which is the nearest to s? (a) -3\/5 (b) -0.3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*x = -h - 45, -5*h = -3*x + 65. Let v(m) = -16*m - 11. Is v(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-27)*(-15)\/(6975\/(-837)*(-3)\/(-5))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.6 (c) -3\/7 (d) 2.913 (e) -1 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 643263, 643311, 643437, 643677, 644067?\n\"Answer: 6*s**3 + 3*s**2 - 3*s + 643257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 11*d + 10. Give u(-9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhhhxhqxhxqhhhhxhhhh. What is prob of sequence hhxq?\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from wpwwzwwwwzwzzzz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, h: 2, q: 2, j: 3, v: 1}. Give prob of picking 2 h.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -14*v**3 + 5*v**2 - 13*v - 96. Is 27 a factor of p(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -347647 (base 8) to base 9\nAnswer: -200733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.18 - 0.28. Let m = -0.04 - g. Let v = -436 - -440. Which is the biggest value? (a) 5 (b) 0.5 (c) m (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18832 divided by 4708\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/27 and 97\/137802.\nAnswer: 1240218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/1539 - -12857\/12312. Find the common denominator of x and 19\/288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*i - r - 36, 28 = 5*i - 2*r. Suppose j + 2 = d, -2*d - 5*j = i - 8. Solve 0 = 4*k + 2*f + d, -6 = 5*k + f - 2*f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348034 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26, 45, 76, 125, 198, 301, 440, 621?\n\"Answer: a**3 + 12*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -541 + 478. Let z = -91 - y. Which is greater: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 3*m = 3*m - 1, 0*q = -q - 16*m - 8 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h. Let i(n) = -13*n**2 + 1172621. Give w(i(s)).\nAnswer: 26*s**2 - 2345242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1423012 + 50?\nAnswer: -1422742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.95 + -0.05. Let o = s - -15. Let n = -0.4 - -0.3. What is the nearest to 1 in o, 2\/7, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151035 is divided by 29.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + 31. What is the greatest common factor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiyiyiiiyiyiyiy. What is prob of picking 2 y?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 98 + 1257307?\nAnswer: 1257405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/5 + 2 + 2. Let h be (-2)\/18*2\/(-1). Let y(l) = -l**3 + 10*l**2 + 4. Let i be y(10). Put i, h, r in ascending order.\nAnswer: h, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 times 0.4?\nAnswer: 104.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 12:03 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4)\/m**(3\/10))\/(m**8)**(16\/5) assuming m is positive.\nAnswer: m**(-299\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -15*b**2 + 21*b - 11. Let m(d) = -3*d**2 + 4*d - 2. Let u(g) = -11*m(g) + 2*n(g). Let q = -9 + 45. Let f = -34 + q. Give u(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t**2 + 6*t**2 - 1779*t + 2*t**3 + 6*t**4 + 2 + 1751*t - t**4 to the form q*t**3 + n*t + s*t**2 + d + v*t**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.202*6\nAnswer: -1.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, 12, 91, 170, 249?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018 minus 160430820447?\nAnswer: -160430820446.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(-20 + (-1712121)\/34) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 4*s + 34 = 0, b + s + 13 - 9 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -119906.0122 - -119793. Let w = -113 - c. What is w rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -51*q**2 + 4592*q - 117. Give c(90).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v - 2 + 6*v**4 - v**3 - 5*v**4 + 2*v - 1 as p*v**4 + y*v**2 + g*v**3 + o*v + r and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/30*1*10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/49 and 79\/121044?\nAnswer: 847308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 1 + 1)*(0 + 1 + 3) + 0*i - 4*i + 5*i + 1184*i - 3059*i - 1792*i.\nAnswer: -3662*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6667155 - 6667155.2831767. Let l = v + 0.313172. Let s = -0.03 + l. Round s to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(1\/2))**(-3\/34))**(-33))**(3\/4) assuming s is positive.\nAnswer: s**(297\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-574*n**2 + 9016*n**2 - 510*n**2)*(2*n + n**2 - 2*n) as x*n**3 + t*n**2 + j + w*n + y*n**4 and give y.\nAnswer: 7932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((3 - 3)*-1)\/(-1). Let p(d) = -2*d - 6. Let q be p(-5). Suppose q*m + 9 - 25 = g. What is the remainder when 7 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*r + 19*r + 180. Suppose 30*g - 33*g + r = 0. What is the remainder when g is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2089*l = -2147*l - 870 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 696083?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from pppppooopppopp.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -119*z + 715. Determine h(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f. Let i(g) = 32*g + 330. What is i(y(h))?\nAnswer: 192*h + 330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 0*x. Suppose x*m = -m. Let w(p) = p**2 - 7. Calculate w(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 52984, 211934, 476850, 847732, 1324580?\n\"Answer: 52983*h**2 + h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -89*g + 30*g - 177 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5861\/14615 - 3\/2923. What is the fourth biggest value in -0.3, -0.2, -0.16, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**3 + 15797*b - 15797*b.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19706023, 19706032, 19706047, 19706068?\n\"Answer: 3*m**2 + 19706020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 338 (c) -0.094 (d) 0.1 (e) 9 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9.4718 times 11\nAnswer: 104.1898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + 0 + -5)**2 + 3.\nAnswer: -100*sqrt(3) + 328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 8*y**2 - 9*y + 6. Let x be n(8). Find the common denominator of ((-6)\/(-18))\/(28\/x) and 69\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012951479968 rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 + 16*u**2 - 5*u + 68. Let v be g(8). Solve -v = 21*c + 7*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -10.05. Is k < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -871 divided by 32776.\nAnswer: -871\/32776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 + 3*k**2 - k - 2. Let j be r(2). Suppose 6*u - 24 = 2*u. Suppose 4*o - 10 = u. Solve p = -2*z + 4 - 1, o*p = 4*z + j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 220 + -215. Suppose -3983 = -12*f + a*f. What are the prime factors of f?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/4)\/w*w*w)**(-1\/10)\/((w**(-1\/3)*w*w)\/w*(w\/w**(-10)*w*w)\/w) assuming w is positive.\nAnswer: w**(-307\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1916 or 1828?\nAnswer: 1916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - u = 7769998, 3*u + 1460696 = n - 1129298. Round n to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 344761, 344687, 344611, 344533, 344453?\nAnswer: 344371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-9)*d\/(d*((d*((d*((d*(d\/(d*d*d**11)*d)\/d*d)\/d)\/d)\/d)\/d)\/d)\/d)*d assuming d is positive.\nAnswer: d**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**4 - 281*p**3 - 19312*p**2 + 60492*p = 0.\nAnswer: -142, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -334250*p + 8404. Let a(k) = -955*k + 24. Calculate 2101*a(t) - 6*n(t).\nAnswer: -955*t","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2 = 1. Suppose -2*q - a*w = 6, w - 3*w - 14 = -2*q. Suppose -86 = -4*o - 2*t, -q*o = -6*t + 2*t - 48. What is the least common multiple of 22 and o?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2878936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 191, 369, 533, 677, 795, 881?\n\"Answer: -x**3 - x**2 + 188*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 204731*r**2. Let x(p) = -25*p. Calculate x(u(b)).\nAnswer: -5118275*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 202917 + 49083. Round v to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 1 + 9*l + l**2 - 2*l. Determine s(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 5*b + 2*b)*(-750 - 763 + 423).\nAnswer: 1090*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24312840 and 12966848.\nAnswer: 194502720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1350724532?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.28*1132153.\nAnswer: 317002.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3266, 3260, 3250, 3236, 3218?\nAnswer: 3196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*c + 4*c = 5*c - 160. Let t(g) = -8*g**2 - 9*g + 5. Let b(s) = -7*s**2 - 8*s + 4. Calculate c*t(p) + 5*b(p).\nAnswer: -3*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + m - 169, -4*u - 2*m + 61 = -73. Let a be (-8)\/28 - (-6)\/28*u. What is the greatest common divisor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -310 + 312. Is (-630)\/x*54\/(-30) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 4:26 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16541086?\nAnswer: 2, 47, 149, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-2)\/234*-1). Suppose -2*p = 0, 5*x = 230*p - 225*p - 397 - 548. Let l = c - x. 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 19 = 7*k - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((21\/(-15))\/(-7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -381 (base 16) in base 15?\nAnswer: -3ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = 37*k + 94 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 538, 2126, 4788, 8536, 13382?\nAnswer: 19338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 + 6*m**3 + 3*m**2.\nAnswer: 3*m**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - 15. Calculate the common denominator of 5\/(10\/(-4)) - 428\/(-48) and 1 + ((-172)\/c)\/1 + -1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(114)\/sqrt(3))\/((sqrt(50) - sqrt(2))*-4).\nAnswer: -sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/66 - (2055351\/306)\/211.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223051559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from jmjm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -292632 and -54 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -428*y - 13796 = 65*y + 2966 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 20\/15*9\/((-1080)\/(-6))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 8 + 2. Let d = a + -4. Suppose q**3 - q + 5*q**d + 2*q - 3*q**2 = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 82370300 to the nearest 100000.\nAnswer: 82400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 5*v**2 - 6*v**2)*(-13 - 16 - 6).\nAnswer: 105*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7048243 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from lullluul?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9900 and 6974.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t = 47*t + 78 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(112)\/sqrt(2))\/sqrt(8) + -5.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, t: 7, q: 2}. What is prob of sequence tqq?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/v)**(7\/8)\/(v**(-1\/4)*v\/(v*v**(1\/3)\/v)) assuming v is positive.\nAnswer: v**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1843884*f**4 - 6721*f**2 + 38?\nAnswer: 44253216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.075086 to 4 dps.\nAnswer: 0.0751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - 4. Let q(o) = 4*o**2 + 19*o + 19. Is q(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8208)\/(-741) + (-3)\/39. Solve -c = -2*z + n, z + n - 1 = -3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 260628745 to the nearest 1000000.\nAnswer: 261000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (-16 - -21)) + 3 - (-5 + 9 - 5)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 6:55 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-6)\/(-24) - 0)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*z = 146*z - 1962 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.03869 kilometers to micrometers.\nAnswer: 89038690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from {h: 6, t: 4, y: 4}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 4*b**3\/3 + 152*b**2 + 5776*b - 49. What is a in v(a) = 0?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2046828 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3404\/3 - -1136. Which is the smallest value? (a) n (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.188 + 0.291.\nAnswer: 0.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28554620 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.538676 + -17.750728?\nAnswer: -20.289404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19737 and 8772.\nAnswer: 78948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3484 is divided by 273.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide (2 + 485)\/(4\/(-3)*63\/(-252))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50103 + -31283. List the prime factors of i.\nAnswer: 2, 5, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1813.94 - -1814. Let g(r) be the second derivative of r**3\/6 - r**2 + 5*r. Let p be g(3). What is the closest to -1 in o, p, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j**2 + 2*j + 2. Give r(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/2 - (-3 - -6). Suppose 1 = r - l. Calculate the remainder when 6\/r*(-14)\/(-3) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 27*u = -14. Suppose 0 = u*n - 4*i - 556, 1396 = 4*n + n - 4*i. Let z be 83\/3 - (-1)\/3. Calculate the greatest common divisor of n and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 - 1)*(-5*v + 0*v + 3*v) - 3*v + 0*v + 2*v + v - 2*v + 3*v)*(30*v**2 + 118*v**2 - 73*v**2) - 4*v**3 + 7*v**3 + 2*v**3.\nAnswer: 230*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3411*s**2 + 3551*s - 27. Let a(r) = -853*r**2 - 886*r + 6. Let f(j) = -9*a(j) - 2*o(j). What is the second derivative of f(b) wrt b?\nAnswer: 1710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 76366, 76367, 76368, 76369, 76370?\n\"Answer: y + 76365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(sqrt(900)*-2))\/((1*sqrt(175) - sqrt(7)) + sqrt(7) - sqrt(14)\/sqrt(2)*4).\nAnswer: -sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -5, 5, -4, -1, -1130, 9.\nAnswer: -1130, -5, -4, -1, 5, 9, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/341? (a) -0.1 (b) -4 (c) -7172\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-10) + (-22)\/5. Let q = 0 - -0.1. Let p = -0.042 - 0.258. Which is the closest to q? (a) -0.5 (b) p (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 118 - 14. Let r = -4 - -7. Suppose z = r*g + g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5, -5, 294959 in ascending order.\nAnswer: -5, 1.5, 294959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -267 (base 12) to base 3.\nAnswer: -111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4228084 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/18272 and -3\/1748.\nAnswer: 7984864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53294 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000121577 to 7 dps.\nAnswer: -0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 91 = u. Factor -35*o + 0*o**4 - u*o**3 - 20*o**2 - 10 - 12*o**3 - 5*o**4 - 25*o**2.\nAnswer: -5*(o + 1)**3*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 805854? (a) -4 (b) -3\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 - 73 = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*b - 106, -3*b - 3*o = -b - 67. Let i be 30\/b*(-14)\/(-2). Which is bigger: 5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9588993 nanometers in meters?\nAnswer: 0.0000000009588993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 9 (c) -3 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -x - 3*x. Let z = -3.5 + 1.9. Let l = 1.5 + z. Which is the closest to l? (a) 4 (b) -0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -1, 0.3, -0.08, 33?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-13 + 4 + 3) - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - z + 3. Let k(s) = -2. Let p = -67 + 69. Determine p*l(u) + 3*k(u).\nAnswer: 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 2*q + 1. Let n be v(-5). Suppose 0 = 3*g + 1 - n. Suppose 4*r - 48 = g*k, 0*r - 12 = -r + 4*k. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, a: 5, p: 1, v: 1, w: 1, s: 7}. Give prob of sequence aps.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627.2 - -239973331?\nAnswer: 239974958.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/264480 and 56\/11.\nAnswer: 2909280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 = -0. What is the biggest value in -10\/9, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 1\/2*q**2 - 5*q + 2. Calculate k(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.292 and 52770.547981.\nAnswer: 52774.839981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -10*b + 14. Let k(t) be the first derivative of 0*t + 3 + 21\/2*t**4 - 26\/3*t**b + 2*t**2. Factor k(l).\nAnswer: 2*l*(3*l - 1)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*(-7)\/(3 - 4) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from jjjjjjjjyjyj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, s: 7, y: 1, b: 2, j: 1, w: 4}. What is prob of sequence jw?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1791 and 37\/63.\nAnswer: 12537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 5:55 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20936*t**3 - 3*t**2 + 3872*t wrt t?\nAnswer: -125616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1253*s + 11910 = 8151 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-8 + (1 - 1))) + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-20))\/(1\/5). Let n(z) = 8 + 4*z + 1 - z - f. What is n(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 9\/184 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-14 - (-12 - (-11 - -3)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 = -2*q + 1198. Suppose k + 9967 = -5*i + q, 5*k = 4*i - 45492. What is k rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2\/3, -2, 16, 24213\/5, 3\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 80665*k - 1855327. Determine b(23).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1716755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 6903.8, 1\/2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**3 + 2*k**2 + 7*k + 8*k - 15*k + 4*k. What is the hundreds digit of q(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*x + 442*x**5 - 2*x + 8*x**2 + 49*x**2 + 4554*x**5 wrt x?\nAnswer: 299760*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 8) in base 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105 - 97. Let r be (u\/(128\/28))\/(-1). Is r greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9066945, 9066952, 9066961, 9066972, 9066985?\nAnswer: 9067000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*u + 2*d, 6*d - 9 = -4*u + 3*d. Suppose i = 3*c - 40, -u*c + 36 = -i + 4*i. Let n(v) = -v**2 + 15*v - 18. What is the units digit of n(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 327264 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -32\/3. Suppose 0 = -14*q - 84 - 140. Let o = 16.7 - 13.7. Which is the third biggest value? (a) q (b) m (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -225*q - 2 + 2 + 261*q as b*q + z and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/159052 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/20 + (-108)\/(-540))*(-120)\/70?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -8. Suppose -5*t - 6 - 9 = -4*p, 0 = -3*p + c*t + 6. Suppose -2*k = v, p = k - 4*k + 4*v. Solve k = 2*o + 3*o + 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20567 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: Suppose -2*i - 16*o + 21 = -13*o, 0 = 2*i - 12*o + 24. Solve -4*r - i = 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14487+3\nAnswer: 2.85513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -86*p**3 + 25*p**2. Let t(x) = -129*x**3 + 37*x**2. Let k(s) = -5*t(s) + 8*z(s). What is the third derivative of k(o) wrt o?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-15 + -4 - (-7 + 0)) + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2067638 is divided by 1033624.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 140*h**6*j - 114645*h**3*j - 3*h**2*j + 8*h**2 + 2648700*h + 1 wrt h?\nAnswer: 16800*h**3*j - 687870*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*n - 25*n - 2 + 9*n)*(-4*n**3 + 3*n**3 + 2*n**3 + (2*n**2 + 0*n + 0*n)*(-n - 2*n + 5*n) + (1 - 1 + 2*n)*(0*n**2 + 2*n**2 - 3*n**2)).\nAnswer: -21*n**4 - 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(0 - 3)*-1. Let z(l) = l**3 - 2*l**2 - 2*l - 1. Determine z(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5484\/5365 + 36\/185. Let n = 418\/435 + x. Let t = -1292\/105 - -62\/5. Put n, t, -0.4 in descending order.\nAnswer: n, t, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.166 + -363.166. Which is smaller: j or -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1815 + -1815.5. Which is the closest to 0.1? (a) -0.4 (b) t (c) -4\/7 (d) 2.87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -212\/7. Let o be (-10)\/4*(-1)\/30*9. Put -2\/11, q, o in increasing order.\nAnswer: q, -2\/11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3484 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4\/7 - 72*o**3\/7 - 132*o**2 - 4840*o\/7 - 7986\/7 = 0. What is o?\nAnswer: -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2460 divided by -5.\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l + 144. Calculate d(-37).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4, -11, -24, -43?\n\"Answer: -3*t**2 + 2*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -15*l + 9. Let k = 52492 - 52491. Put l, k, -1\/3, -5 in descending order.\nAnswer: l, k, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 0*y**2 - 1\/3*y**3 + 129 - 35\/2*y**4 + 0*y. Find the third derivative of f(d) wrt d.\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 3*j - 249 = 9*f, 4*f = -4*j - 0*j - 84 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/29, -1, 326, 3\/7, -4 in descending order.\nAnswer: 326, 3\/7, 2\/29, -0.4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/(-39) - (-7873)\/21. Let v = 374 - o. Which is the biggest value? (a) v (b) 0 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 601 + 10494 = 5*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 4945167.8?\nAnswer: -4945167.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.31764 + 2636318.\nAnswer: 2636317.68236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 12010035 and 12010036 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010 + -1001111000100001110?\nAnswer: -1001111000011110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2730869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*h + 20 = -51*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**2 + 11*z + 2. Let u(y) = 2*y**2 - 5*y - 1. Give -6*f(h) - 13*u(h).\nAnswer: -2*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 4*g - 10, -7308*a + 7*g = -7307*a + 32 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -43*h - 59 - 41*h + 59 + 85*h. Let j(l) = 1885*l**2. What is j(a(m))?\nAnswer: 1885*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1688, 3466, 5254, 7058, 8884?\nAnswer: 10738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaxaaaaaaaalaalaxxaa.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 2 + 6 + 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 = 6*c - 162 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30673 + -8053. Does 26 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - y)*(y**2 + y**2 + 0*y**2) - 188*y**2 - 2*y - 17*y**3 + 188*y**2 in the form v*y**2 + t*y + m + s*y**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 11*q**2 - 31*q - 145. Calculate g(-9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-two fifths of a decade?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.959963 rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 2:57 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -k + 3*k - 365512, -5*k + 913756 = -3*f. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 7:15 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59833 + -4367737\/73. Let r = 1615\/657 + x. What is the common denominator of 35\/17 and r?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + l. Let z be 26 - (l + (-6)\/(-3)). Suppose 2*j - 46 = -5*s, 6 - z = -3*s + 2*j. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from bxzbvby.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/6 + 2*r\/3 - 2\/3.\nAnswer: -(r - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3 = 3*a, 0 = 3*a - 3*c - 7 - 8. Solve 0 = -a*o + 4 - 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33465661?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3*c = -o - 5, 2*o = -4*c - 22 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-10) - 77\/(-165). Let f(o) be the second derivative of 0*o**5 + 1\/2*o**2 + 0*o**4 + o + 0 + b*o**6 + 0*o**3. Differentiate f(p) with respect to p.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.7 (b) -3\/10 (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 h when three letters picked without replacement from hhhhhhhhjhhh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1075 - -1565. Is a a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7448 and 46968?\nAnswer: 2301432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(0\/(-4) - -6). What is the biggest value in m, 0.9, 0.1?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k - 5*k**2 - 3 + k + 7 + 0. Let f(x) = x**2 - x - 1. Let h be 9\/12 + 1\/4. Determine h*d(v) + 4*f(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5014*h + 3677*h + 3333*h - 5.\nAnswer: 12024*h - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2592 and 48195.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*-1 + 426\/6. Calculate the highest common factor of 46 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8406433 divided by 1200919.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8*a**2 + 37*a. Let j(n) = -4*n**2 - 18*n. Let w(i) = -5*j(i) - 2*p(i). Factor w(r).\nAnswer: 4*r*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1121\/2 - ((-52)\/(-8) - 6). Let t = 607 - b. Calculate the remainder when t is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/28, 928, -0.4, 2\/19, -0.3 in increasing order.\nAnswer: -0.4, -0.3, 2\/19, 3\/28, 928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + g**3 + g**3)*(-5*g**2 + g**2 + g**2) + (2*g**2 - 2*g**2 + 11*g**3)*(2*g**2 + 2*g**2 - 2*g**2).\nAnswer: 13*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 192 = 274. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r**2 + 78 - 78. Let p(l) = 2*l**2. Give h(p(q)).\nAnswer: 24*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2 - 33*r - 9*r**2 - 3*r**2 - 33 - 22*r**2 - 11*r**2. Let h(d) = 3*d**2 - 4*d + 2*d + 4*d + 2. What is -33*h(p) - 2*m(p)?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)*((h*h\/(h\/(h\/((h\/h**(-2\/11))\/h)))*h)\/h)\/h*(h*h*h**(-2\/7)*h)\/h**(1\/2))\/(h**(8\/7)\/(h*h\/(h\/(h\/h**5))*h\/(h**(-1\/5)*h)*h)) assuming h is positive.\nAnswer: h**(-3011\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 444 (base 10) in base 11?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -0.6. Let c = 0.3 - x. What is the nearest to -2\/3 in 2\/9, c, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-46)\/(-253) - 1604\/(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*o + o. Suppose t + 0*t = o. Factor 0*k**4 + 3*k**4 - k**5 - k**3 - t*k**4.\nAnswer: -k**3*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3815 + 4157. What is the remainder when 1030 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1398 and 4047909.\nAnswer: 8095818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2 - 26*c - 11. Let m be s(-5). What is the second derivative of -143*y**2 - 6*y**2 - 86*y + m*y**2 wrt y?\nAnswer: -260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*p = 5*k - 6436, -5*p = 10. List the prime factors of k.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 2*d - 7 + 1 - 6*d as x + q*d and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4494 and 0.3.\nAnswer: 4494.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in 4, 21\/22, -3, 0.4, -0.2, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.38897g to kilograms.\nAnswer: 0.08138897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20344.\nAnswer: 2, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -7\/4 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 10*f - 29*f - 45. Which is the nearest to -0.1? (a) 2\/179 (b) -1\/6 (c) -1 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3168?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -1\/42*b**7 - 1\/6*b**3 - 2\/15*b**6 + 3*b + 0 - 3\/10*b**5 - 1\/3*b**4 + 0*b**2. Factor c(j).\nAnswer: -j*(j + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5414*v**2 + 60*v - 5414*v**2 + 155*v**4 + 221*v - 27*v**4 wrt v.\nAnswer: 1536*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b, -4*l - 3*b + 8 = -8. Let h(p) = 205*p + 6 - 415*p + p**2 + 206*p. Let i be h(l). Which is bigger: 50\/7 or i?\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*h**5*u**2 - 9*h**4*u**2 + h**2*u**2 + 63*h**2*u + 5*u**2 wrt h.\nAnswer: 1440*h**2*u**2 - 216*h*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -1, -2\/53, 0.647, 3?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52\/5 of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*z - 4 = 0. Let d be 4\/(-22) + z\/(-22). Solve -4*a + 5*o = d, -a - 4*o = -0*o - 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6 = -0*l. Suppose -11*d + 1 + 32 = 0. What is the least common multiple of l and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 11 + 5 + 2*x)*(-2 - 2 + 3)*(2*x - x - 2 - 4*x).\nAnswer: 3*x**2 - 16*x - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-11 - (-37 + 7))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -579566 divided by 21\nAnswer: -579566\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -309, -4, 6, 3 in increasing order.\nAnswer: -309, -4, -3, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 less than or equal to 141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1154*p - 7. Let d be s(-3). Suppose 4*i = -d - 1305. What is i rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((0 + sqrt(72) - sqrt(2))**2 + 0 + sqrt(20)\/(sqrt(10)*2 + sqrt(10)) + -1)*3.\nAnswer: 5*sqrt(2) + 735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -235, -214, -189, -160?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 - -66. Let b = x - 7. Calculate the remainder when 43 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/5 + 577*s**2\/5 + 17792*s + 1622964\/5.\nAnswer: (s + 21)*(s + 278)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8437.41 months to millennia.\nAnswer: 0.7031175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -8*x**2 + 4178*x + 8338. Calculate d(-2).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22307 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6498080 divided by -4?\nAnswer: -1624520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3628 and 256.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16710, 33344, 49986, 66642, 83318, 100020, 116754, 133526?\nAnswer: 150342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.89999971 + 6.9. What is s rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7181*q**2. Let n(r) = 3*r**2. What is u(n(p))?\nAnswer: -64629*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -569 - -571. Let n be 20\/o + (-15 - -4 - -6). Factor 2\/19*c + 0*c**2 + 0*c**4 + 2\/19*c**n + 0 - 4\/19*c**3.\nAnswer: 2*c*(c - 1)**2*(c + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60048 and 18209.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/28 + (-4)\/(-16). Let z = 0.8 - 0.3. Let b = -0.3 - 0.2. Put b, z, h in increasing order.\nAnswer: b, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 812 - 806. Suppose -3*y = 2*a - 19, -f*y + 11*y - 20 = -a. Solve x + 4*b + b = a, 15 = -5*x - 5*b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -12*b**2 - 23 + 25 - b - 18*b**2 + 29*b**2. Let p(k) be the second derivative of -5*k**4\/12 - 2*k**3\/3 + 9*k**2\/2 - 2*k. What is -9*l(q) + 2*p(q)?\nAnswer: -q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 136 + -52 - (3 - -4 - (-29 + 54))\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t + 17360 = 13*t. Which is smaller: t or 433?\nAnswer: 433","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 0*q + 5\/2*q**2 + 1\/4*q**4 - 4 + 0*q**3. Find the second derivative of t(z) wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13.53051 years?\nAnswer: 162.36612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 426033 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, 8521, 14.\nAnswer: -7, 3, 14, 8521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 4*m**2 - m + 5. Let p be x(4). Let f be -10 + (-12045)\/308 + 6\/(-8). Let q = 49 + f. Which is bigger: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30412459 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74368\/13280*((-1)\/(-4) - 1).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4759, -4592, -4429, -4270?\n\"Answer: -2*l**2 + 173*l - 4930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(209)*3)\/(sqrt(11) + (sqrt(11) - -4*sqrt(99))).\nAnswer: 6*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 631487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664827178.\nAnswer: 2, 31, 83, 129193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90 - -1622. Suppose 4*s = -4*l + 4092, -3*s + y = 4*l - 2556. List the prime factors of l.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/3)\/(7\/(-168)). Factor 2*g**4 + 4 + g**4 - x*g**2 + g**4.\nAnswer: 4*(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.0159295s to weeks.\nAnswer: 0.00006781734375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 532\/9 + -59. What is the third smallest value in 0.2, v, 1\/12, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109 * 22288\nAnswer: 2429392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2528 (base 9) in base 15?\nAnswer: -85e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2079*v + 1751*v + 4602*v to the form o*v + d and give o.\nAnswer: 8432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/3 + 34*m - 867.\nAnswer: -(m - 51)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57894.287 - 57929. What is c rounded to the nearest integer?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 8 = -3*n + 99, -4*n - 119 = -v. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104935 is divided by 169.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -269 - -153. Suppose 0 = -3*r + 5*g - 824, 3*r + 59*g = 56*g - 888. Let l = q - r. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151851651?\nAnswer: 3, 7, 7231031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -6*6*(sqrt(98) + -2))**2*6.\nAnswer: -223776*sqrt(2) + 794904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -2*b - 2 + 11, -4*n - 12 = -5*b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**4 - 3*b**4 + 10*b**4)*(-1 + 2*b + 1)*(5 - 3 - 1).\nAnswer: 20*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 8*r - 7*r. What is the remainder when 85 is divided by 44*((-7)\/(-2))\/r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -3. Let l = 1 - h. Let f be (-48)\/70 - (-6)\/15. Which is bigger: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*r**3 + 22*r**3 - 14 + 14.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -5 (c) 1\/232 (d) -2 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m + 5. Let l be c(-6). Let j = -36 - l. Let g(z) = z**3 - 16*z**2 + 11*z + 21. Let u(f) = 3*f**2 - 2*f - 4. Give j*u(r) - 2*g(r).\nAnswer: -2*r**3 - r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 24 - 112*b - 23 + 3037*b. Let d(f) = 2*f**2. What is t(d(w))?\nAnswer: 5850*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a473 (base 16) in base 7?\nAnswer: 2012640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126501\/4 + 31625. What is the third smallest value in b, -0.268, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1412 + -50.3772. Let z = q + 49. Let x = -0.23600099 - z. Round x to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4\/5 - 458*u**3 + 665316*u**2\/5 - 5375552*u\/5 - 24519424 = 0. What is u?\nAnswer: -10, 19, 568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + c - 1 = 4*j, 0 = 5*j - c + 1. Suppose j = -3*a + 10 + 2. Solve 3 = a*n - 13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmnrrnmnrnm. Give prob of picking 2 m, 1 r, and 1 n.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 434448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**2\/8 - 26091*u\/4 - 680740281\/8 = 0.\nAnswer: -26091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7))**(-6\/13) assuming i is positive.\nAnswer: i**(42\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 518 + -528. Which is the third biggest value? (a) 1 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -238, -682, -1414, -2440, -3766, -5398?\nAnswer: -7342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 3\/7, -1\/11, -61?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -16 + v**3 - 2567*v + 5110*v - 2563*v - 20*v**2. Determine t(21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 2*r + 12 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -20424550 + 1933\nAnswer: -20422617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b + 4*b - 2*b)*(-2 + 2 - 1)*((-3*b + 3*b - 2*b)*(-1 - 1 + 4) + (3 + 1 - 3)*(-2*b - 2*b + 3*b) - b + 4 - 4) to s*b + m*b**2 + a and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 2\/36189063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*s - 3*k = -148*s + 9284, 1858 = s - k. What is the greatest common factor of s and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 8568, -0.2, 1\/4, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*4\/(-60) + (-248)\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 12386557?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2598 - 1767. Let d = 839 - f. What is the lowest common multiple of 46 and d?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 4*a**2 - 3*a. Let s be m(-3). Suppose s = -3*k - 4 + 58. Suppose k = -0*f + 3*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0207 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 211816893 to the power of 1\/3, to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13857?\nAnswer: 3, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -10*t**3\/3 + 25*t**2 - 6688*t. Calculate b(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 24 = 2*m, -92*m + 4*k - 18 = -91*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, s: 10, g: 3}. Give prob of picking 2 o.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1853 or 10\/13?\nAnswer: 1853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*(3*sqrt(1125) + sqrt(1125) - sqrt(1125) - sqrt(1125)))\/((-2*sqrt(1944))\/(-3*sqrt(150))).\nAnswer: -300*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*d + 3*d - 5955, -d + t = -1187. Suppose -3*i + 3075 = 3*j, -d = -2*i + j + 858. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 19*d**2 + 2*d - 10. Let q be a(19). Suppose -16*f = -q*f + 108804. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28856671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -16, -1\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 5*z - 24 = 0, 0 = 2*o - 101*z + 95*z - 26 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 9. Calculate the remainder when 54 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4067.79004 rounded to the nearest 100?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, k: 1, v: 1, j: 1, f: 1}. What is prob of picking 1 v, 1 f, and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 1. Let t be 2\/(3*b\/(-216)). Let q = 86 - t. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 5, -27 in ascending order.\nAnswer: -27, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 8*l + 4 + 8 = 0, -2123 = -5*l - 2128 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-7))\/((-8)\/28). Suppose -t = -s*t - 2, -5*g = 5*t - 50. Suppose -5*y + 5*b = -0*b - 60, b - g = -2*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4 - 0.9. Let y = -59 - -63. What is the closest to -1 in z, y, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 14. Suppose -b*y = -8*y - 8. Suppose x - 2*h - 13 = 0, -3*h - 32 = -y*x + h. Solve -2*q + 0*q = 8, -4*n = -x*q + 8 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -563*p + 2792. Determine q(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*a**2 + 32*a**2 + 32*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s = -10. Let o = -3 - -9. Let q = o - s. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 20, -5*t - 3*l = -0*t + 13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 8:27 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 83686 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/8)\/((-33)\/(-176)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*3 + -5 + 2*sqrt(475)*-2)**2*-6.\nAnswer: -3000 - 300*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*g**2 + 21*g**2 + 27*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 11*w + 42*w - 66 - 175*w - 68*w as v + g*w and give v.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -1\/3 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 836323365 rounded to the nearest one million?\nAnswer: 836000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -42, -103, -192, -309, -454, -627?\nAnswer: -828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3600507382 to three decimal places.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + 2*r - 3. Suppose 2*y = 7*y. Suppose -4*w - 5*v = -y*v - 5, w - 2 = -v. Let t(x) = -4*x**2 - 4*x + 5. Calculate w*s(o) + 3*t(o).\nAnswer: -2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/115276 and -55\/3082.\nAnswer: 7723492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -406 + 637. Let j = 451 - u. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515811 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-65 - 0)*((-456239)\/(-26838) + -17) and 77\/6?\nAnswer: 3834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -10, 4*m - 5*a - 30970 = -4*a. What are the prime factors of m?\nAnswer: 3, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 32712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppnpppnpppp. Give prob of sequence nn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116*c - 33*c + c**3 + 8*c - c**2 + 0*c**2 to v*c**3 + q*c**2 + z + i*c and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1397261386.\nAnswer: 2, 41, 199, 85627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-3))\/((-3)\/(-54)). Let t = -123 + 129. Calculate the greatest common divisor of u and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*m**2 - 2*m + 5*m - 12*m**2 - 22*m**2 to the form i*m**2 + w*m + j and give i.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 40067871 to the power of 1\/3, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -681*b**5 - 25275*b**2 wrt b?\nAnswer: -40860*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -151*r - 2782. Is 23 a factor of j(-105)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 5. Let t be f(0). Solve t*w + 16 = 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1585?\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 111000010111011010011 (base 2) to base 15\nAnswer: 2673d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 6. Suppose -4*q - 4*i = -8, 3*q = k*i + 16 - 3. Suppose 0 = -4*o - 20*o + 192. What is the remainder when o is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*z + 20. Let t = 6 - z. Let v be 1\/6 + 4\/3. Which is smaller: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -3. Let k = c - -1. Solve -2*o + w - 11 = -k*w, -5*w = -3*o - 17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15062, 15052, 15042, 15032, 15022, 15012?\n\"Answer: -10*m + 15072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4125 + 4125 + 8*q**3.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/42*42*4\/5?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/(-75) + 9)*15 - 30?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -1.3, 264\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1555 by -37774.\nAnswer: -1555\/37774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 10 + 5 - 1 - f**2 + 2 + f**3 + 6*f to d + a*f + z*f**3 + t*f**2 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2746214 to the power of 1\/2, to the nearest integer?\nAnswer: 1657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4269055670?\nAnswer: 2, 5, 11, 577, 67261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s**2. Let d(z) be the third derivative of z**4\/8 - 18*z**2. Determine d(x(f)).\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043 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: Suppose -5*f + 0*f = 0. Suppose 5*n + 3*w = 97, n + 0*w - w - 21 = f. Suppose -2*v - 3*v = -n. Solve -2*o = -2*t + 4, o - t - v*t = 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 2)\/(14\/21). Let l(z) be the first derivative of -h + 0*z**3 + 3\/2*z**2 + 0*z**4 + 0*z - 4\/5*z**5. What is the second derivative of l(o) wrt o?\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3610 + 176.\nAnswer: -3434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 1. Let u = -1 + g. Let n = -88 + 619\/7. What is the nearest to -1\/3 in u, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven quarters of a meter?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 322700 rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2*z)**(-3\/10)\/(z*z**10*(z**(-4\/3)\/z)\/z) assuming z is positive.\nAnswer: z**(-257\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -6186000 to the nearest one hundred thousand.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + s + 3. Let c be ((-36)\/(-20))\/(-3) + (-138)\/(-30). Determine u(c).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 1 + 6*q - 14*q + 4*q + 8*q. Let c(u) = -u. Let n(y) = -10*c(y) - 5*s(y). Factor n(t).\nAnswer: -5*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**0*w)**(-40)\/(((w\/w**(-4))\/w)\/w)**(-50))**31)**33 assuming w is positive.\nAnswer: w**71610","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -177 + 174. Let o be 5\/(-4 - (f + -2)). Solve 0 = -2*h - o + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(11) - (sqrt(11) + 1 + sqrt(11))*5) + 3 - (1*1*sqrt(11) + sqrt(11) + 0 + sqrt(11) + 3 + sqrt(11)))**2 + -2)*5*-1.\nAnswer: -9410 - 650*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a century in months?\nAnswer: 10560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 39 = -w, 3*w - 53 - 64 = -4*a. Let g = w - 23. What is the remainder when g is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 9*u**2 - 15*u - 56. Let v be h(-8). Is -3\/40 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*z = 842, y + 3*y - 2*z - 678 = 0. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54570*d**2 - 6*d - 4*d - 55620*d**2 + 10*d.\nAnswer: -1050*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*l + 1 - 1 + 27*l to q*l + r and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (-42 - -15)) + -30.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f + 42458 = -10942. Is 89 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 230 = -3*c, 0*c + 2*t = -2*c + 154. Suppose -5*a - 57 = -y - y, 5*a = 3*y - c. Calculate the remainder when y is divided by (-2 - 1)*4\/(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -40*f + 67. Let t(p) = -15*p**2 + 4*p - 4. Let d be t(1). Is s(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2167 and -2129 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -30870946 < -30870946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12796 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 566423 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from teuvbmebv. Give prob of picking 1 v and 1 u.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*q - 1986 = 406*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*g**2*l**3 + 5*g**2*l**2 - 2*g**2*l + 2*g*l**3 - g*l**2 - 345*g + 29*l**3 wrt l.\nAnswer: -336*g**2 + 12*g + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 767 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4498452 is divided by 2107.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (-3647)\/(-315)) + (-432)\/(-240) - (-308)\/(-90).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 6.7. Let l = -81 - -80.8. Let f be ((9\/(-2))\/3)\/(-6). Which is the smallest value? (a) f (b) j (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 7*y + 45. Let v = y + 24. What is the common denominator of v\/(-72)*(-37)\/1 and 7\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/22 and 43\/3108.\nAnswer: 34188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01 - 0.07. Let t = y + 3.08. Sort t, -3, -1\/2.\nAnswer: -3, -1\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28206?\nAnswer: 2, 3, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 13 = -2*x, -5*w - 11 + 10 = -x. Is x not equal to 14\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 - 9*b**2 - b + 22. Let v be m(-9). Let u = v - 500. Calculate the highest common factor of 52 and u.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33.5 + -33. Let l(d) = -d**3 - 3*d**2 - 16*d - 21. Let p be l(0). Which is the closest to 0? (a) p (b) g (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*d**4 - 2*d**3 - 26*d wrt d.\nAnswer: -120*d**2 - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 472313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 6:55 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.4 and -2.4.\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(1 + sqrt(5) - sqrt(5)) + sqrt(320)*1 + sqrt(605) + 0 + -3)*3)**2.\nAnswer: -2394*sqrt(5) + 16686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2. Let k be (-2)\/(1 - 2)*-2. Let g = k + 6. Let w(l) = g - 2 + l. Give w(p(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -212 + 1672?\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 64079083 to the power of 1\/3, to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = y + i + 5, -2*i - 34 = 2*y. Let u = 13 - y. Calculate the highest common factor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42334*q*y**2 + 1412*q*y + q - 5*y - 2 wrt y.\nAnswer: -84668*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2046 + -2038. Solve -3*j + x = 2*l, -3*l + 5*j = 6 + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/125)\/((40\/8)\/225).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 11*c + 28 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -12 in descending order.\nAnswer: -2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 7a?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. Let h be c*2\/4 + 1. Suppose -h*i = -0*i - 24. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**2\/2 + 8. Determine a(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.123 + 4.277. Let o = -0.4 + f. Is o bigger than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7239205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 8\/3 (b) 502 (c) 2\/3 (d) 5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.2, -12, -1\/3, -6119, 1 in increasing order.\nAnswer: -6119, -12, -1\/3, 0.2, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 163\/145 or -31\/22?\nAnswer: -31\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -489 by 1.\nAnswer: -489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/2551 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12148 or 258?\nAnswer: 12148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13440 or -13450?\nAnswer: -13450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1163 (base 15) to base 12\nAnswer: 2179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*t - y - 2, -t = 3*y - 3. Let a be (-11)\/(-3) - (-8)\/(-12). Suppose a*o = -x + 6, 3*x + 2*x - 15 = 0. Do o and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 + 78*q + 1. Let d(s) = -2*s**2. What is p(d(w))?\nAnswer: -8*w**4 - 156*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 107540 + 38405 = 3*z, 2*r + 8 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 19*i**2. Let s(q) = -q**3 + 4*q**2 + 23*q - 4. Let h be s(7). Suppose -h*r = -15*r. Let b(z) = -z + r*z - 8 + 8. What is w(b(g))?\nAnswer: 19*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q. Let g(k) be the second derivative of k**6\/120 - k**3\/2 - k. Let s(d) be the second derivative of g(d). What is h(s(i))?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 68*o**2 + 408*o - 3. Calculate d(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q - 2*q**5 + 6*q + 0*q wrt q?\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**4\/6 + 3*p**3\/2 + 21*p**2\/2 - 6*p. Let k be y(14). Suppose r - k = -198. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/((-72)\/40636)*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 3742180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(252) + -6*-2*sqrt(252) - sqrt(70)\/(sqrt(100)\/sqrt(40) - sqrt(10)))*-1)**2.\nAnswer: -160*sqrt(7) + 44801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -33003 (c) 31.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44016883297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 873*m = 875*m - 66. What is the highest common factor of m and 242?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 354 = -102. Suppose 5*j + 2*w - 1 - x = 0, 5*j = -5*w + 235. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/28077, 0.4, 1\/8, -3 in increasing order.\nAnswer: -3, 2\/28077, 1\/8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 17*h**2 + 4*h - 17. Does 17 divide q(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 - 1. Let y(c) = 3*c**2 + c - 1. Let p(w) = w**3 - 13*w**2 - 4*w + 3. Let h(a) = p(a) + 4*y(a). Determine -h(o) + s(o).\nAnswer: -o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -85*f**2 + 0*f + 0*f**4 + 0 + 73\/30*f**5 - 15*f**3. What is the first derivative of y(r) wrt r?\nAnswer: 292*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 189*n + 193*n = -4, 2*c = n + 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -43*k + 1152. Calculate g(27).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1345 - 9318.2670548.\nAnswer: -9318.1325548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10596?\nAnswer: 2, 3, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1367000 rounded to the nearest ten thousand?\nAnswer: -1370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*k + 6*k + 12 + 16. Let k - 4\/3*o - 2\/3*o**2 = 0. What is o?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -226630 (base 8) to base 3.\nAnswer: -10220220120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42097 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -4531?\nAnswer: -4533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 3:05 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 2*r. Let s(m) = 2*m + 4 + 0*m**2 - 12 - 5*m**2 + m**3 - 7*m. Let t be s(6). Let n(p) = -6*p**3 - 11*p. Give t*n(l) - 11*w(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -6. Let q = 9 + u. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111188 - 222371\/2. Factor -z*c**2 + 4*c + 0 + 1\/4*c**3.\nAnswer: c*(c - 8)*(c - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/8*2\/(-18)*2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 7:01 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1022\/(-42) + 17)\/(6\/9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b9 (base 12) to base 9.\nAnswer: -876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -1\/1008*w**8 + 0 + 0*w**4 + 1\/45*w**5 + 1\/126*w**7 + 0*w**3 - w**2 + 3*w - 1\/45*w**6. Factor v(y).\nAnswer: -y**2*(y - 2)**2*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1982573*l**4 + 6776368.\nAnswer: -7930292*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 161*w + 6464. Give n(-84).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.106585 - -0.027723. What is g rounded to three dps?\nAnswer: 0.134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - t - 2 = 5 - 41, 2521*t = -9*p + 2515*t + 318 for p.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 63*d - 13 + 95*d.\nAnswer: 158*d - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7807*d**2 + 7807*d**2 + 240*d**4)*(-d - 2*d + 2*d).\nAnswer: -240*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -19*h + 30*h. Let d be (-4)\/(-8)*-10 - h. Solve 2*m + 13 = 4*o - 9, 3*m + d = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 1. Let x(d) = d**2 - 3. Let h be x(2). Let i(g) = 7*g - 2. Let c(z) = -8*z + 3. Let t(p) = -5*c(p) - 6*i(p). Calculate h*t(n) + 3*y(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39380.9 + -39381. Which is the fourth biggest value? (a) 4\/5 (b) -2\/9 (c) q (d) -1.61 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 308361 and 719509.\nAnswer: 2158527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 123642*k**5 - 42155*k?\nAnswer: 2472840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6, -1, -14, -33, -58, -89, -126?\n\"Answer: -3*o**2 + 2*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1. Let a(y) = -y - 3. Let s = 0 - 5. Let b be ((-715)\/52 - -14)\/((-1)\/4). Calculate b*a(t) + s*j(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -348*o**3 + o + 71 wrt o?\nAnswer: -2088*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 260 and -0.14.\nAnswer: -36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (1 + -2 + sqrt(19))) + ((sqrt(190) + sqrt(190)*-2)\/sqrt(10))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 50 = 3*u. What is the smallest common multiple of (-66)\/(-2) + (-5 - u) + 2 and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, b: 11}. What is prob of picking 4 r?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*s + 2*o - 0, -4*s - 2*o = -8. Suppose -1621314 + 350060 = -s*g. Let d = g - 403627. Round d to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a7 - 2?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 0. Let f = 3 - j. Let u = f + 7. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**4\/7 + 268*h**3\/7 + 9496*h**2\/7 + 4940*h + 25350\/7 = 0.\nAnswer: -65, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15054243 is divided by 238.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2313827?\nAnswer: 2313827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 519, 28, -815, -2016, -3581?\n\"Answer: -y**3 - 170*y**2 + 26*y + 664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5315, -6421, -7109, -7169, -6391, -4565?\n\"Answer: 35*p**3 - p**2 - 1348*p - 4001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 12692277.74 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3030320 (base 4) to base 3.\nAnswer: 122222122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 84382.3 and 0.08275025.\nAnswer: 84382.38275025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(-44)*(-3 - -2). What is the biggest value in o, -1\/2, -3\/17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 14095780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 88, 9, -25, -1.\nAnswer: -25, -1, 5, 9, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 33 = 4*g. Let s = g - 6. Suppose -h + 140 = s*f, 75 = 5*f + 2*h - 65. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 9*i + 4. Let a be 3 + 7 + (-2)\/(-1). Let u(n) = 16*n + 10. Let p(r) = -49*r - 30. Let l(t) = -6*p(t) - 17*u(t). Give a*q(v) - 5*l(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*r + 30*r + 9*r**2 - 30*r**2 in the form t*r + x*r**2 + d and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 7 = -2*t, 0 = -5*h - t + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.02 + -12.396. Let c = -0.097 - -4.497. Let w = c + m. Round w to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83595 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -99 divided by -33\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4020 (base 12) to base 9\nAnswer: 10456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x**4\/11 + 64686*x**3\/11 - 174441930*x**2\/11 + 522743778*x\/11 = 0. What is x?\nAnswer: 0, 3, 5389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = -v + 2*r - 7, 4*r - 8 = -4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 + 3 + 7*m**2 + 1.\nAnswer: 7*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 9:53 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217 = 4*h - 5*c + 274, h - 3*c = -30 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.4, 40, -12, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-14)\/7)\/(46\/(-23)))\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.47\nAnswer: -2.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 4:18 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 - 65. Let a(s) = 44*s**2 - 4*s + 9. List the prime factors of a(x).\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 7 in descending order.\nAnswer: 7, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 5) + (-4 - -2). Solve h*o + 10 = -2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24974 - -24974. Put 2065, r, -4 in ascending order.\nAnswer: -4, r, 2065","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 708?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 14 = o. Let c be (-3 - 28\/(-8))*o. List the prime factors of 2*5\/c*-24.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -1647.\nAnswer: 9882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -1\/5, 2, 6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725092 is divided by 295?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/7)\/(42\/196).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 5*c - 155. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n = 34*n - 1465. Let x(i) = 42*i - 6. Let r be x(5). Let w = n - r. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 2*j + 18, -3*u = -6*u - j - 16. What is the remainder when (-254)\/u - (5 + (-66)\/14) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(c**5 + 2*c**5 + 2*c**4 - c**5).\nAnswer: 4*c**5 + 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50? (a) 5 (b) 254 (c) -0.2 (d) 2\/13 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 10 = y. Let m = y - -2. Is 3\/2*m\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - j**2 + j + 48. Let q be c(0). Suppose b - 2*d - 46 = -4*d, b + 4*d = 60. What is the greatest common divisor of q and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, j: 2, o: 4, b: 3, w: 5, q: 1}. What is prob of picking 1 w, 1 j, and 1 r?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 58*-7690\nAnswer: -446020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5 + 1)\/(-16 + 17))\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -323500 - -492043547\/1521. Calculate the common denominator of q and 71\/36.\nAnswer: 6084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -6*p + 14. Let r(v) be the first derivative of v**4\/12 + 5*v + 232. Let h(s) be the first derivative of r(s). What is d(h(i))?\nAnswer: -6*i**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*j**4*l**2 + j**4 - 21*j + 3*l**2 wrt j.\nAnswer: -516*j**2*l**2 + 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -119.3 - -119. Let r = 12 + -27. Suppose -5*o + 10 = -15. Which is the closest to -1? (a) r (b) i (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from znanqayazz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + s + 10. Let m be c(-4). Let p be 66\/m - 31\/10. What is the second biggest value in 4, -2\/17, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5\/5 - 2*n**4\/5 + 28*n**3\/5 - 8*n**2\/5 - 16*n + 64\/5 = 0. What is n?\nAnswer: -4, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 737919 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 10356700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89045 and 2200.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/10)\/(2\/5). Let s(b) be the second derivative of -l*b**3 + 0 + 2*b - b**2. What is s(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35607*i = 36322*i - 40755 for i.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 329 - 217. Let l = g + -21. What is the remainder when l is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2681707 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**4 - 5604*w**3 - 306768*w**2 - 4261824*w = 0. What is w?\nAnswer: -1812, -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -409 + 412. Let a = -8 - -18. Suppose 4*n = -3*w + 4, -2*w + w + 3*n + a = 0. Solve 2*t - w = p*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9421*v - 5697*v - 5633*v + 6960*v.\nAnswer: -13791*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-2\/9)*s*s)*s**(2\/11))\/(((s\/(s*s\/s**(3\/13)*s))\/s*s)\/(s*s**(-3\/2)\/s)) assuming s is positive.\nAnswer: s**(-3415\/2574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 7 + (0 - -2). Let a(o) be the first derivative of o**3\/3 - 3*o**2\/2 - 5*o + 2. Let n be a(f). Calculate the highest common divisor of n and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 + 16 + -2 + -3. Which is the second smallest value? (a) m (b) 49 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**2 + 142137*m + 568500 = 0.\nAnswer: -47375, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + 48445*j**3 + j**2 - 48442*j**3 - j**2.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -186 and 10856.\nAnswer: -2019216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/3, -3.4, 20692?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 27*o**2 + 47*o + 36. What is the tens digit of b(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 0 + 0)*(3*m**2 - 3*m**2 + m**2)*(3*m + 10*m - 4*m).\nAnswer: -9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 132190461 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by 417327?\nAnswer: 13\/139109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/15 - 4\/(-10). Let k(h) = 8*h**2 - 1. Let v(o) be the first derivative of 40*o**3\/3 - 6*o - 5. Let i(x) = -11*k(x) + 2*v(x). Determine i(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1333, -5, 4, 0, 3, -4 in decreasing order.\nAnswer: 1333, 4, 3, 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 72258257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymm when three letters picked without replacement from yymmy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 8 = -0*r. Let z(n) = n**2 - 2*n + 3. Let x be z(r). Calculate the highest common factor of 77 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 4:12 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3*w - 87, -2*c - 3*w - 137 = -6*c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144356500 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*u - 3377 + 1039 = -5014 - 3249 for u.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 12 = 7*f - 10*f, 2*s + f = 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38\/215 + 12859\/11180. Find the common denominator of s and (-147)\/(-10164)*11*-1.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(6\/80)*(-9)\/36 + -3. Let r = 0 + 1. Which is the third biggest value? (a) n (b) r (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-32)\/(60\/(-32) - 2\/16) and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-7)*(-126)\/90)\/((-10)\/150).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 58489 times 5.74\nAnswer: 335726.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1034919.102 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234534 = 11*j - 113*j + 1195068. What is j rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 7 = i, -3*i - 2*x + 163 - 194 = 0 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12853*y**2 + 4283*y**2 + 4320*y**2 + 4255*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1933916?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 905725153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -331314 equal to -331310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3482*r + 195088 = 1290*r for r.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 + 1. Let a = 5.9 - 6. What is the closest to a in 5\/2, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -49 + 1\/3*y**3 - 3*y + 2*y**2. Determine r(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyayyyayay. What is prob of picking 4 y?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -12395*z**2 - 11934*z - 198. Let t(x) = 2479*x**2 + 2387*x + 36. Let n(k) = 2*q(k) + 11*t(k). Find the second derivative of n(h) wrt h.\nAnswer: 4958","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) + ((-1*sqrt(605))**2*1 - sqrt(605)) + -1 + (-3*(1 + sqrt(605) + 1))**2.\nAnswer: 396*sqrt(5) + 6085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**8\/28 + 2*o**7\/21 + 17*o**4\/6 + 2*o - 5. Find the third derivative of n(x) wrt x.\nAnswer: 240*x**3 + 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10928 + -10.1\nAnswer: -10938.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (-25)\/(-15)*(-15579)\/(-45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5318 plus -0.03?\nAnswer: -5318.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2736) + 1)*-2.\nAnswer: -24*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4210.\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q + 5 + 6*q**2 - 3*q - q - 3*q. List the prime factors of d(4).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + 58. Let n = 22756 + -22688. What is the greatest common factor of r and n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**2\/2 + 2*f + 2. Let y be h(2). Solve 2 = -m - y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((121\/(-11))\/11)\/(-14)*6\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -175, -240, -303, -364, -423?\n\"Answer: c**2 - 68*c - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4590 - 2296 - 2294 - 33455*b.\nAnswer: -33455*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 3, t: 2, b: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 11) in base 3?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2793\/(-228))\/(-49))\/(-2*1)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g + 2*b = -25*g + 12, 5*g + 21 = 3*b for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-5 - -7) - -5. Suppose -15 = -2*t - m. Solve 8 - 24 = -t*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1858039?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -128 + 140. Suppose -4*s - 3392 = -l*s. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1375920 and 1950.\nAnswer: 6879600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 244 in -1, 0, 3, 5, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -648 (base 11) in base 8?\nAnswer: -1412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 + 7*i.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 488 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*w = 180 - 252 - 440 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163155, 326602, 490049, 653496, 816943, 980390?\nAnswer: 1143837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 181802 + 59405. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 107063 = -11*j + 368665. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(304))**2 + 2.\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1519017209 to the nearest integer?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 - 2*k**2 - 7*k + 10. Let a be z(2). What is the nearest to 1\/3 in 1\/10, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 + t**3 - t**3 + (-1 + 1 + 4*t)*(-1 + 1 - t**4).\nAnswer: -6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 3:43 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108596773*b = -108596862*b + 5162 for b.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 91*s**4\/4 + 8*s**3\/3 + 6*s + 48. What is the third derivative of t(w) wrt w?\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 times 0.53?\nAnswer: 14.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -697010417 divided by -961?\nAnswer: 725297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**3 - t**2 - 3*t - 3. Let b be k(-1). Suppose r = -b*h + 9, 5*r - 16 = 3*r - 4*h. Solve r = 10*d - 12*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2452241553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*y**4 - 18*y**3 - 624*y**2 - 8*y - 12234318 wrt y?\nAnswer: -8*y**3 - 54*y**2 - 1248*y - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 277 = 346. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14661 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 7*q**6\/120 + 7*q**5\/60 + q**4\/24 - q**3 + 4*q**2. Let o(k) = -15*k**3 - 15*k**2 - 2*k + 13. Give -6*o(s) - 13*y(s).\nAnswer: -s**3 - s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23603 - -28563. List the prime factors of i.\nAnswer: 2, 26083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -8*c + 113. Let d be a(13). Suppose 3*v = d*v - 12918. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**2 - 190992*k + 573003 = 0.\nAnswer: -63667, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4411 and 4629946.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11022841?\nAnswer: 11022841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16848 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 222 - -20cf?\nAnswer: 22f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4133562?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 24 = 4*o. Let k = -225 - -371. Let g = k - 62. What is the highest common factor of o and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 93.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2549 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -12\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-63)\/(-18) - (-2)\/4. Let b(y) = -y - 15. Let p be b(-17). Solve 2*k + p = -i, t*k = 3*i + 2*k - 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7476*a**3 + 14963*a**3 - 7482*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57\/20 - 9\/4. What is the second biggest value in 1\/2, w, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -14*j - 6. Let i be q(-6). Let w = 1\/8522 + -366455\/76698. Find the common denominator of (1\/20)\/((-3)\/i) and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224628*q = -224611*q + 595 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-13)\/(d**(-1\/5)*d))**(-14) assuming d is positive.\nAnswer: d**(966\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/2 (b) -0.012 (c) -2\/11 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - p - 2*p + 25, 0 = -5*v - 3*p + 29. Let n(y) = -266*y - 14582. Let c be n(-55). Put -5, c, v in decreasing order.\nAnswer: c, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2847 from -10.13149349.\nAnswer: -10.41619349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 2*s + 17 = 0, n - 4*s - 120 + 28 - 7 = -17*s + 43 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -54990 divided by -9\nAnswer: 6110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/10191, -4\/3, 0.3, 0.5, -3\/2 in increasing order.\nAnswer: -3\/2, -4\/3, -2\/10191, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/2 + (-23 - 3). Let n = -21 - x. Suppose -492 = -n*b + 233. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k = -50. Let c(r) = -r**2 + 9*r + 12. Let p be c(k). Suppose -12*l = -10*l - p. Is l less than -4\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 168, 248, 330?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 829 (base 11) in base 10?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*m = 118*m. Let f = 27.7 - 28. Let y = 0.1 + -0.1. What is the closest to y in f, m, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16\/21 (b) 0.3 (c) 2\/7 (d) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -0.04, -0.5 in decreasing order.\nAnswer: -0.04, -0.08, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -4) + -4 + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 8*u**2 - 17*u + 39. What is the remainder when l(-7) is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1 (b) -0.4 (c) 0.4 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 10 = 3*k. Suppose -2*i + 2485 = k*l - 7*i, 0 = -4*l + 5*i + 3315. Round l to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37667767 a multiple of 1259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - h**2 + 3*h + 1. Let r be u(-2). Let x = 4.9 - 0.9. What is the nearest to r in -1, -0.3, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - q**2 + 2*q - 7. Let p be h(0). Let n = -2 + -7. What is the units digit of 138\/4*(p - n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64\/7*y**3 - 256\/7*y - 2\/7*y**4 + 144\/7*y**2 - 544\/7 = 0.\nAnswer: -2, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 195\/13 - -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -9. Let s be -10*(-3 + (-86)\/(-30)). Let j = 18.5 + -18. What is the third biggest value in j, k, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3944.4182 to the nearest 10.\nAnswer: 3940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5126 (b) -3 (c) -4 (d) 0.046\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 17*q**2 - 18*q + 12. Let l be s(-18). Calculate the highest common divisor of l and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -59969.8 to the nearest one thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 94660000 rounded to the nearest 1000000?\nAnswer: 95000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-156)\/(-9))\/(6\/9). List the prime factors of (-5604)\/(-78) - (-4)\/r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91362682 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95.0065 - -0.0065. Let n = -171.2 - t. Round n to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(144)\/(sqrt(6) - (1*sqrt(6) - sqrt(6))))\/sqrt(8).\nAnswer: 1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 5*n**2 + 3. Let k be s(5). Let x(i) = 6*i. Let g(d) = -11*d. Determine k*g(q) + 5*x(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 + -38. Is r > 30\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.041322 + -0.0407. Round w to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 249344144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 10*p + 8. Let a be w(-11). Let f = -15 + a. Suppose u = f*u - 435. Calculate the greatest common factor of u and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 51, 9, -4, 3, 5 in ascending order.\nAnswer: -4, -1, 1, 3, 5, 9, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.99 rounded to 0 dps?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16308706*w**6 + 22*w**2 + 67*w + 1145.\nAnswer: 1957044720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h + 83278 = 83390. Sort h, -1, -92, -11 in descending order.\nAnswer: h, -1, -11, -92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4 + 4*i - 12 - 5*i - 2*i. Give b(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 356 = 4*i, -2*d - 335 = -5*i + 128. Suppose -c = m - 42, 5*c - m - 89 = i. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.1 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12*((-87)\/(-9) - -1). Suppose -35*w = 2104 - 13759. Let u = 341 - w. Calculate the greatest common divisor of f and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 246\/420 - 12\/40?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0216448 to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 22, 1, -4, -788 in decreasing order.\nAnswer: 22, 5, 1, -3, -4, -788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22105, -22106, -22107, -22108, -22109?\n\"Answer: -t - 22104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*v**3 + 29*v**3 - 63*v**3.\nAnswer: -82*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21564 = 477*s - 489*s. List the prime factors of s.\nAnswer: 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -715*b**3*s**3 + 303*b**3 - 375*b**2*s**3 + 89*b**2*s**2 wrt s.\nAnswer: -4290*b**3 - 2250*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 64814659+-0.06\nAnswer: 64814658.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -9, -8\/11, 10, 3, -123\/7?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 51626.5 to the nearest 100.\nAnswer: 51600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 - -71. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -755, -6493, -22073, -52415, -102439, -177065, -281213, -419803?\n\"Answer: -820*q**3 - q**2 + 5*q + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 80*m + 37. What is b(80)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3434839108+-3257\nAnswer: -3256.6565160892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22164 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 1 + 7199*s**2 + 0*s - 7172*s**2.\nAnswer: 27*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 93883712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-514)\/3)\/(2\/6). Let a = y + 740. List the prime factors of 4\/(-2) - a*4\/(-8).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4) + (-517)\/22. Which is smaller: -23 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + h**2 + h - 1. Let s(q) = -5*q**3 - 9*q**2 - 8*q + 7. Let y(u) = s(u) + 6*x(u). Suppose 2*f + 4*k = -0*k + 2, 0 = f + 3*k. Give y(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (4 + -2))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/89, 1\/4, 2\/883, -2, -69?\nAnswer: 2\/883","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710966.\nAnswer: 2, 355483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 0. Suppose -2*v = -3*c + 95, 0*v + 27 = c + 4*v. What is the remainder when c is divided by r*2*22\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5140*k**3 + 27 + 48 - 1052*k**3 - 13*k + 38 - 23 wrt k.\nAnswer: 24528*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*m + 57. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 69? (a) 11\/5 (b) 1 (c) 7 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -9. Let f be r\/(-6) - (-16)\/12. Find the third derivative of -2*v**f + 3*v**3 - 3*v**3 + v**4 wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -404773\/36 + 11242. Let l = n - -22\/9. Let d = -1.8 + 2. What is the third smallest value in d, -0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-10)*50\/(-45)*(46530\/1081)\/(-66)?\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xyyz when four letters picked without replacement from {x: 4, r: 4, z: 2, y: 2}?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*x + 76, -u + x + 15 = -0*u. Let r be 0\/(-3 - u\/(-4)). Let q(f) = f - 7. Give q(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a - 5. Let f be p(-5). Suppose -f*m + 3*m + 16 = 0. What is the lowest common multiple of m and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 512, 7, -5 in descending order.\nAnswer: 512, 7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1715) + -1*sqrt(1715))\/(sqrt(7) + (sqrt(7) - ((sqrt(28)*1)\/sqrt(4) + sqrt(7))) - sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-741)\/4161)\/((-104)\/7592)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - r**2 + 3*r + 1. Let k be b(-2). Let g be (-3 + 3 + 43)*k. Let d = -11 - g. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**2 + 1. Suppose 4*t - 1 - 15 = 0, -5*t + 17 = 3*s. Calculate b(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, p: 3}. Give prob of sequence ppps.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 3 - 3)*(-1 + 0 + 3)*(2 + 2 + 1)*(2*j + 3*j - 7*j) + (-6*j**2 + 7*j**2 - 3*j**2)*(0*j - 2*j + 3*j).\nAnswer: 78*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**5\/60 - d**4\/8 - d**2 + d. Let w(f) be the first derivative of x(f). Find the second derivative of w(b) wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154500 rounded to the nearest one thousand?\nAnswer: 155000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(((-6)\/15)\/(-2)). Let z(u) = u**3 - 5*u**2 - u + 4. What is z(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 435*c - 29583. What is t(68)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*(16\/10 + -1). Let u(f) be the second derivative of f**4\/6 + f**3\/3 - 7*f**2\/2 + 130*f. Let m be u(2). Sort h, m, 2, 0 in decreasing order.\nAnswer: m, h, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -744*c + 691*c + 2342*c.\nAnswer: 2289*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13653*x**3 + 27291*x**2 + 13623*x - 15.\nAnswer: 3*(x + 1)**2*(4551*x - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**5 + 14*i**3*n - 27*i**2*n - n wrt i.\nAnswer: -180*i**2 + 84*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 31)\/((-3)\/(-4) + 0). Let g(s) = -s**2 + 11*s**2 + s**3 - 2 - 16*s + 7. Let r be g(-11). Calculate the highest common divisor of b and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 2*s + 4*s)*(-2 + 3 - 2) + (-5 + 2 + 0)*(5*s + 21*s + 43*s).\nAnswer: -209*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-four fifths of a tonne?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005 + 168982.892873?\nAnswer: 168982.887873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -7)*(-3)\/(-35). Which is the closest to -1\/3? (a) -0.2 (b) x (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1369*n**3\/4 + 199171*n**2 - 43067*n\/4 + 291\/2.\nAnswer: (n + 582)*(37*n - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/8)\/((-2)\/(-4)). Let q(l) = -2*l**2 - 3*l - 3. Let w be q(x). Let h be 4 - 1*w\/(-5). Let c(r) = -r**3 + 5*r**2 - 3*r - 2. Calculate c(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 6 = -4*j + 23, 25 = 2*j - 5*f. Let i = -4 + j. Suppose 0 = v + 2*w - i, 5*v - 30 = -4*w - 1. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -499596518 smaller than -1998386067\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/8 (b) 0.3 (c) -276\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ztthtxstxsstzt.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -292*u + 165*u - 155*u to the form k + t*u and give t.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 4 - 179*o**4 - 6*o**2 + 4*o**2 - 2 as n + r*o**2 + y*o**4 + l*o + x*o**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ezzpgmzgeug. Give prob of picking 2 e and 2 z.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32224184*l**2 + 6102913.\nAnswer: 64448368*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*w**2*y - w**2*z + 4*w*y*z + 735*w*y - 32*w*z + 37*w - 35*y*z - 2 with respect to z.\nAnswer: -w**2 + 4*w*y - 32*w - 35*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10485439 take away -66.81607?\nAnswer: -10485372.18393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 493349215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k + 15. Give d(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 84540.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*t + 25 = 0. Let v(p) = 8*p + 5. Let h be v(t). Suppose -3*w + 0*w + h = 0. What is the highest common divisor of w and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 81417, 80855, 80293, 79731, 79169, 78607?\n\"Answer: -562*p + 81979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.9 - -1.1. Which is the smallest value? (a) -5 (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 18*y + 6. Let r be n(18). Let k(t) = -48*t - 1. Let p be k(r). Round p to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1045*z + 256*z + 266*z + 260*z + 260*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuuzuduzzu. What is prob of sequence uuud?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 4*z**2 + 4*z + 5. Let k be (-1)\/((-4 + 0)\/40). Let l = k + 18. What is the remainder when u(-6) is divided by l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-2\/5)*z*z))\/(z\/z**(1\/2))*(z\/(z*z**(-5))*z*z)\/z*z\/z**(-6)*(z**1\/z*z\/z**(1\/3))\/((z\/(z**(-1\/2)\/z))\/z**(-6)) assuming z is positive.\nAnswer: z**(61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, s: 2, r: 1, v: 2, t: 10}. What is prob of sequence ss?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*p**2 - 64 - 134 + 7 + 31 + 81*p**3 - 76*p**3 wrt p.\nAnswer: 15*p**2 + 32*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, 35, 107, 197, 299, 407, 515?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -1, -9, 4612 in decreasing order.\nAnswer: 4612, 44, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 3*x + 9, -2*x + 0*x = -c - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.998518 - -7745\nAnswer: 7743.001482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*sqrt(5)*1)**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 4:18 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*x = 53*x + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.034119296 and -134.\nAnswer: -133.965880704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, d: 2, s: 2, x: 4}. What is prob of picking 1 d, 1 e, and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 1 + 9 - 21*y - 39*y to k + z*y and give z.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1673\/(-98) - (252\/14 + -35)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 4*s**3 + 10 - s**3.\nAnswer: -5*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 5*o**2 - 2. Let i be h(-5). Let m = 4 - i. Let w = -2 + m. Solve 2*j - w = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/4*p**3 + 3*p**2 + 9\/4*p.\nAnswer: 3*p*(p + 1)*(p + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1914010, -7656016, -17226028, -30624046, -47850070, -68904100, -93786136?\n\"Answer: -1914003*f**2 + 3*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from {l: 2, y: 1, p: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (2 - -6) - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -13*s**2 + 464*s - 2323. Let b(i) = 38*i**2 - 1393*i + 6969. Let o(v) = 3*b(v) + 8*r(v). Differentiate o(d) with respect to d.\nAnswer: 20*d - 467","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 7*z**4 + 0 + 0*z**3 + z**4 + 0*z**3 + (4*z**3 - 4*z**3 + 3*z**3)*(-2*z + z + 4*z).\nAnswer: 17*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 54 = -9*p. Solve -o - 3*b = 0, -3*o = 3*b - p*b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 9*t - 17. Let d = 5 - 8. Let u be -1 + d*26\/(-6). Is j(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/33 (b) -2\/23 (c) 0.4 (d) 3 (e) -873 (f) -5 (g) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/10 and -109\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (62 - -22) + -94 + 1 + -22\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -145.4 - -17.34. Let c = v + 135. Let k = -7 + c. What is k rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-36) + (-2)\/9. Let j = -403 + 475. Suppose k = 4*v - 5*y - j, -3 - 44 = -3*v + 2*y. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 1 = -2*w + 4*y, 2*w - 14 = 3*y. Let r(x) = x**3 + 4 - x**2 + 2*x**2 - 5. Determine r(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 2\/9, -0.4, 2\/537, -0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 627\/115009 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -13. Suppose -20 = -0*m - v*m. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002985 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -7*y - 144. Let a be l(7). Let n = 263 + a. What is the greatest common factor of 35 and n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13\/2 + 37\/6. Let x = 1.8 - 1. Let n = 0.8 - x. Which is the second smallest value? (a) 1 (b) m (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15001*n**4*r**2 - n**3*r**3 - 3*r**3 - 52*r**2 + 20 wrt n.\nAnswer: -60004*n**3*r**2 - 3*n**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5772?\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(81)\/sqrt(3) - sqrt(27)) + 0 + (sqrt(3)*1 + 1)*-4)**2.\nAnswer: 8*sqrt(3) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (88\/55)\/((-4)\/(-10)). Put 2\/5, 1, y in decreasing order.\nAnswer: y, 1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 2:51 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1785 (b) -1\/4 (c) 1 (d) 21 (e) 40 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9*w**2. Let p(j) = 4*j - 82. Give p(z(h)).\nAnswer: 36*h**2 - 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**2 - 3614*k - 1702 with respect to k.\nAnswer: -4*k - 3614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -378 by 6.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 4*x + 5. Let s be h(3). Suppose 4*d - 21 = -3*i, -2*i + 4*d + 0 - 6 = 0. Solve -i*r - 2*q - 12 = 2*r, r = -s*q + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-444)\/(-60) + (-2)\/5. Suppose -q*k + 45 = 8*k. Solve 12 = 5*h - 13, -3*u - k*h = -21 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 6*o - 2. Suppose 19 = 5*a - 11. Calculate x(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j - 255 = -1119 for j.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2 - 2*n**2 + 11*n**2 - 4 - n**3 + 7*n. What is the units digit of o(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.761934359 to three dps.\nAnswer: 13.762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -50.18993.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12544 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/4 of a millimeter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1)*i\/(i\/(i**(-5)*i))*i*i\/(i*i**(-1))*i**(-2\/7) assuming i is positive.\nAnswer: i**(-23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*k + 432, 168 = 7*k - 5*k + 2*m. Let f = 139 - k. Calculate the remainder when f is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -766, -1534, -2302, -3070, -3838, -4606?\n\"Answer: -768*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/((-2)\/3) - -11. Suppose -3*j = j - q. Solve -4 = -2*r - j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 151\/36462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 9. Let x be k(-11). Suppose 20*c + x = 21*c. What is the lowest common multiple of 18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-6)*u*u**(-31)*u\/u**(-23)*(u*u\/(u*u**(-25)))\/u assuming u is positive.\nAnswer: u**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 387028028 to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17391641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h + 10 + h**3 - 4*h - 5*h**3 - 13. Is d(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 9270?\nAnswer: 18540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3002968 is divided by 9269?\nAnswer: 9081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(11)*-2 - 1*(sqrt(11) + sqrt(99)) - sqrt(55)\/(-2*sqrt(5)*-5)) + 1)*-6)**2 + -5.\nAnswer: -8784*sqrt(11)\/5 + 382654\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.045 + -11.955. What is the third smallest value in y, 6, -1\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.56979 - 2.92898. Let y = q + -5.64. Round y to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 50500.94 kilograms?\nAnswer: 50500940000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**6\/480 - g**5\/80 + g**4\/96 + g**3\/8 - 17*g**2\/2 - 55. Let k(t) be the second derivative of j(t). Solve k(h) = 0 for h.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f**3 - 5*f**2 + 8*f + 4. Let a(j) = -5*j**3 + 4*j**2 - 7*j - 3. Suppose -29*y + 33*y - 16 = 0. What is y*k(o) + 5*a(o)?\nAnswer: -o**3 - 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = 5*l - 1667. What are the prime factors of l?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2.43, -0.3, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87)\/(-5655)*5*2.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -6*b - 114. Find m such that -15*m**2 - 25*m**2 - b*m - 10 - 2*m**4 - 18*m**3 - 10*m**2 - 2 + 8*m**2 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - j. Let l(o) = o**2 - 5*o + 4. Let c be l(5). Let v(m) = 2*m**2 + 10*m + m**2 - c*m**2 - 10*m**3. Give 22*g(h) + 2*v(h).\nAnswer: 2*h**3 - 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 + d**2 + 3*d + 2. Let s be x(2). Let j(n) = -2*n**3 - 4*n**2 + 3*n - 4. What is the units digit of j(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.444 + -0.7. Let b = j + 0.18. Round b to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 4*t + 13, t = k - 2*k - 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 830*n - 13308 = -5685*n - 3471 + 9708. Factor -2\/7*h**n + 4*h + 0 - 10\/7*h**2.\nAnswer: -2*h*(h - 2)*(h + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1.35. Let q = f - -0.05. Let v = q - 0. Put 4, 1, v in descending order.\nAnswer: 4, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 + 70 - (19 + 1 + 4 + -5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((-20)\/(-75))*(200\/24 + -7). Let j(w) = w**2 + 4*w - 11. What is j(b)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533 is divided by 77?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -601, -807, -1003, -1189, -1365, -1531?\n\"Answer: 5*h**2 - 221*h - 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 = s - 0*s. Suppose -4*z + s = -125. Suppose 4*r - 503 = z. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1896702.\nAnswer: 2, 3, 347, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6*u - 56 = 0. Let t be 12\/21 + (-768)\/u. Calculate the highest common divisor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in 5, 2\/5, -0.4, -0.018?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12, 4, -14, -48, -104, -188?\n\"Answer: -o**3 + o**2 - 4*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 45 (b) 2 (c) 1\/20 (d) -1974\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(-4)\/24 - 594\/(-162). Solve -3*n + 7 = -4*z - 8, -m*z + 15 = 3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 200 + -207. Let f(v) = -v**2 + 3*v + 81. Let y be f(r). Sort 2\/5, 0.9, y, 1.\nAnswer: 2\/5, 0.9, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b**2 - 4 + 4)*(14 - 619 - 233) + (4*b + 0*b - 6*b)*(2*b + b - 5*b) + 0*b**2 - b**2 - b**2 to the form j*b**2 + v + f*b and give j.\nAnswer: 1678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-264)\/(-40) + -3 + 2\/5. Suppose 3*v + 15 = 0, 6*u - 24 = q*u + 4*v. What is the smallest common multiple of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2 - 2)*(-l - 3 + 3 - l + 1 - 1 - 2 + 2 - 2*l + (2*l + 4*l - 4*l)*(3 - 3 + 2) + 3*l + l - l)*(-132 - 131 + 24*l + 249).\nAnswer: -144*l**3 + 84*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1639 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 362. Let g(q) = 103*q + 1. Calculate g(h(o)).\nAnswer: 103*o**2 + 37287","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2 - 4*v + 10. Let a be r(-7). Suppose -237*w + a*w + 3453 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3054.2 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 282\/7 - 30766\/763. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1626.\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90520 + -90512. Let b(o) = -o**3 - 5*o**2 - o. Let c = -4 - 1. Let x be b(c). Solve 0 = g - x*g - s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -10*w + 318. Calculate p(37).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqqqqhqhhqqqqhhhhhhh. Give prob of picking 1 h and 1 q.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 8:12 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by -2*11*((-143)\/22 - -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 32\/5 of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.47591 milliseconds in seconds?\nAnswer: 0.03947591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330133 is divided by 82197.\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -13*i**3 - 9*i**2 - 9*i - 9. Let k(g) be the third derivative of -g**6\/40 - g**5\/30 - g**4\/12 - g**3\/3 - 5*g**2 - g. Give -2*a(f) + 9*k(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 53.32863 decades?\nAnswer: 5.332863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/407678917 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9687 and 17265463.\nAnswer: 3229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2645 divide 1084491364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**3 + 5*d**3 - 232*d**4 - 3*d**2 - 15 + 230*d**4 - 11*d**3 + d as q*d + k*d**4 + w + s*d**3 + g*d**2 and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-200)\/48)*5\/4.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9848455?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**3 + 12*z**3 - 4*z**2 + 3*z**2.\nAnswer: 21*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 + p**3 + 2*p**2 + 4*p**2.\nAnswer: 5*p**3 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 311*s**4\/2 + 4367*s**2\/2 + 3387. Find the second derivative of n(f) wrt f.\nAnswer: 3732*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1\/2 (b) -3 (c) -4.45 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3 + sqrt(132)\/(sqrt(12) + 2*sqrt(12)*1))**2.\nAnswer: 47\/9 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w - 21. Let z be g(13). Let m = 9 - 5. Suppose m = n - 0. Solve -4*v - 4*x - 11 - z = 0, n*x + 8 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p + 15. Let b be g(8). Let l be -2 - -5 - (b + 4). What is the units digit of (l - (-120)\/(-3))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 11 - 5)*(b - b + b) to g*b + w and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49.6 + -49.3. Let f = 0.383 + -0.483. What is the closest to 0.06 in f, -2, -0.05, m?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**0\/t)\/(t**4*t))\/(t\/(t*t**(-6)*t*t)*t*t*t*t\/(t\/(t*t**(-1\/5)\/t))*t))**(-23) assuming t is positive.\nAnswer: t**(1587\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7156.23036 rounded to 1 decimal place?\nAnswer: -7156.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + x + 1 = -8, -2*z + 6 = 4*x. Suppose 5*j - 528 = z*j. Is (-1)\/(j\/(-261) + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106\/42 - 132\/154.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 139, 148, 161, 178, 199, 224?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 90 = 27. Let a(t) = t - 13. What is a(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101783 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 310750 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -5 - 23. Solve -4 = 4*r + y*c - 0*c, -4*c = -r + 19 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence to when two letters picked without replacement from {j: 1, w: 2, t: 1, u: 1, o: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + n = -n - 25, n + 2 = 0. Suppose -12*o + y*o + 20 = 0. Calculate the remainder when o is divided by (3\/(-3) - 0) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -760*r - 761*r + 1518*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9\/10, 0.267, -3, -0.1, -2\/29, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27 + (-2 - (-9 - -4)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + ((-104)\/36 - 0). Sort 0.4, -1\/6, b.\nAnswer: -1\/6, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.622838 micrometers in centimeters?\nAnswer: 0.0005622838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 9 + -10 - (4 + (-19 - -4))*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 7 = 3*i - l, 2*i + 2*l - 2 = 0. Let s = i - -4. Calculate the smallest common multiple of ((-6)\/15)\/(3\/(-120)) and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x - 6. Suppose -9*d + 7*d + 10 = 0. Determine n(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {o: 3, u: 1, z: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 29\/60*z**5 + 0*z + 30*z**2 + 0 + 0*z**4 - 17\/6*z**3. Is b(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -358*h - 93619*h**4 - 88*h + 94425*h**4 wrt h?\nAnswer: 9672*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*y + 24, -3*g - 2 + 13 = -4*y. Suppose 8*i - g*i - 6 = 0. Solve -i*r + 6 = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -526 (base 12) in base 8?\nAnswer: -1356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 8:27 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 35655.\nAnswer: -6\/11885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*j - 9*j. What is the second derivative of 0*a**3 + 2*a - 2*a**3 + a**3 - 2*a**j wrt a?\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6*i = 3*a + 365, -61 = -i + 3*a. Let u(d) = -4*d - 5. Let r be u(-14). Let c = i - r. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -102425319 to the nearest 100000.\nAnswer: -102400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 - 40*d**2 + 74*d - 19. Give k(18).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/6*(-10)\/20. Suppose -3*x + 24 = -5*j, 0*j = 3*x + 3*j. Suppose -x*v = -8 - 10. Which is the second smallest value? (a) v (b) i (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 6:12 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/(-51))\/((-2)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**5 + 582*b**4 + 14784*b**3 + 40830*b**2 + 39651*b + 13020 = 0?\nAnswer: -20, -1, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 98, 130, 176, 242, 334, 458?\n\"Answer: h**3 + h**2 + 22*h + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z = 51*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*r - 446*r + 10 = -5*a - 15, -3*r - 8*a = -2*r + 40 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -6 - 10. Suppose 0 = -w - 3, 0 = -3*o + 4*o + h*w - 1667. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*f = -83*f - 3850 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-6 + (-56)\/(-8)). Suppose -25 = 3*x + 3*d - 37, -4*x - 3*d + 19 = j. Let z(k) = -k + 13. Calculate z(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 9.78. Let h = 1004 - 1004.02. Which is smaller: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0 (b) 0.108 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 + 6*b**3 - 32*b.\nAnswer: -b*(b - 4)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317955 is divided by 115?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**4\/4 + l**3\/6 - 3*l**2 - 41*l. Let f be d(2). Solve 2*s = f - 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 98506 - 60673. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 258003, 258319, 258635, 258951?\n\"Answer: 316*a + 257687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31802 is divided by 112.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, b: 1, j: 2, l: 1, w: 2, h: 2}. What is prob of picking 1 l and 1 j?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, r: 1, g: 2, u: 1, c: 1, o: 1}. Give prob of sequence gorc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -2*g**3 + 9*g**2\/2 - 10*g. What is the first derivative of b(z) wrt z?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iififiifffiii. What is prob of picking 2 i?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 6*c**2 - c + 980. Is s(0) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**4 - 2664*g**3 - 139626*g**2 - 1988064*g - 4779648 = 0. What is g?\nAnswer: -24, -3, 1383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 - o**2 - 2*o + 1. Let y be (1 - -1) + 0 - 0. Let x be k(y). Suppose x = r - 14. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 0.39, -1, -6, 0.2?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-7)*(-22)\/(-176)*-28?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 2*b = -14, -25*f - 20 = -26*f + 8*b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tw when two letters picked without replacement from {q: 2, z: 1, m: 6, t: 1, w: 3}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 + (-2700)\/144*-4?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/27 - 6\/27\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 100\/(-15) + 116926\/18411\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19450827?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -x**3 + 16*x**2 + 60*x + 12434 wrt x.\nAnswer: -3*x**2 + 32*x + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 13231374.\nAnswer: 6615687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 1\/5 (c) 1\/8 (d) -2 (e) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 133\/401188 or -1?\nAnswer: 133\/401188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 744509 + 277.\nAnswer: 744786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -110.0078 + 0.0078. Let u = r - -112. Which is bigger: -11 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3645 and 7290.\nAnswer: 7290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1548)\/81)\/(-43)*1269\/(-6)*3\/(-6).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 448 = 3*r. Suppose -b = 4*v + 2*b - 88, -3*b = -4*v + r. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p - 3. What is k(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 - a?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 6*c - 95846 = 0. Suppose 11*k + c = n + 8*k, n - k = 5628. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*h - b, 4*h + 1 = 3*b - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 10 = -0*m. Let x = 89705 - 89709. Sort m, 4, x, -0.4.\nAnswer: m, x, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 324*c - 3267 - 3537 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-499)\/30 - (-20)\/25 and 47\/59?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/(-20)*(-1)\/(-5)*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22643 (base 11) in base 7?\nAnswer: 164246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**17\/w**(2\/51) assuming w is positive.\nAnswer: w**(865\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (189*r + 117*r - 72*r)*(4*r - 4*r + 3*r)*(r - 3 + 3).\nAnswer: 702*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d + 26 = 10*d + 16*d - 57*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 116 + -77. Let q = v - 39.00025. Round q to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*j - j - 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -15*k**3 + 4*k**2 + 11*k - 11. Let t(m) = -4*m**3 + m**2 + 3*m - 3. What is 6*i(f) - 22*t(f)?\nAnswer: -2*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1705 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -150 - -457. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -223424103 (base 5) to base 10\nAnswer: -998653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)\/(o*o**(4\/3)\/o))\/(o*o\/(o*o**5)*(o**(-1)\/o)\/o) assuming o is positive.\nAnswer: o**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 194986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0, -1, -0.0707, 1\/2?\nAnswer: -0.0707","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -208, -193, -178, -163?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**5\/60 - v**4\/6 - 2*v**3\/3 - 3. Let t(w) be the third derivative of b(w). Find the first derivative of t(o) wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -34*v - 59. What is n(2)?\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 1. Let h = -16 - v. Suppose 4*s = h*j - 21, j - s - s = 9. Which is bigger: 11\/3 or j?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.17 (b) 1\/2 (c) 216\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33630 and 1416?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 147 + -31. Calculate the greatest common divisor of g and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 65*c*l*n - 5*c*n**2 + 50*c*n + l*n**2 + n**2 wrt l.\nAnswer: 65*c*n + n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30927 by -10309.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 11*i. Let l(t) = t**3 - t**2 + t. Let x(r) = -l(r) + p(r). What is the second derivative of x(h) wrt h?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in -1, -16\/7, 7\/13, -2\/33, 0?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/5 + 26286*b\/5 - 52576\/5.\nAnswer: (b - 2)*(b + 26288)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1764 = 27*n - 21*n. Suppose 0*y - 4*y - s = -606, 2*y - 4*s = n. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-20))\/(532\/1330)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/11 - 14\/275. Let a(s) be the second derivative of 0*s**4 - d*s**5 + 2*s + 2\/15*s**3 + 0 - 1\/5*s**2 + 1\/75*s**6. Let a(i) = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8512 and 108908.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 - 58*j + 73. Let x be c(-30). Let v = -5 + x. What is the least common multiple of v and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 - 40 - (3 + (-2 + -2 - 6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 337, 335, 307, 235, 101, -113, -425?\n\"Answer: -3*l**3 + 5*l**2 + 4*l + 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2322*g - 165949 + 709189 = -5223*g for g.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 2*z + 5*z. What is the remainder when 32 is divided by -2 - 2 - (z + (-4 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-56974)\/3111 - 72\/204)*6\/4\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2950 + -2906. What is the highest common factor of t and 374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-125)\/(-2)*-2*(-21361 - -1). Round a to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -10*w**2 - 8. Let b(q) = -2*q. Give y(b(z)).\nAnswer: -40*z**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = 2 - 62. Let u be (-12)\/((-9)\/(-6) - 0). Let h = u + w. Solve h*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a century in months?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 - 6*g**2 + 85859*g**3 - 85895*g**3 + 6*g**2.\nAnswer: -36*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 406 + 654 + 1541*h**2 + 1082 - 247*h**2 + 1706 wrt h?\nAnswer: 2588*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2\/7 - 110856*f\/7 - 17305796\/7.\nAnswer: -4*(f + 157)*(f + 27557)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 + 2*p**2 + 2*p + 2. Suppose 9*z + 228 = -48*z. Let j(t) = t**2 + t + 1. Determine z*m(x) + 8*j(x).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-112)*-118 - 2. Let q = u + 4\/7. Let f = 3.3 - 3.2. What is the nearest to f in -0.6, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4615975, -4615980, -4615985, -4615990, -4615995?\n\"Answer: -5*a - 4615970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 173767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4213411452 to the power of 1\/3, to the nearest integer?\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 11. Let i be b(11). Suppose 6*a - a + 50 = i. Let f = -6 - a. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2869153064 to the nearest integer?\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (7*(-48)\/(-56))\/(1\/3) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j = -39*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eighteen fifths of a minute?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 990 divided by 55\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1304 divided by 8?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**2 + 0*t**2 + 2*t - 2*t**2 + (4*t + 4*t - 5*t)*(8*t - 23*t + 37*t).\nAnswer: 64*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - (-2 - 20)) + (2 + -4 - -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 600 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5780)\/3060 - (8 - (-852)\/(-108)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i + i = 78162. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 47. Let j be t(-40). Let l(s) = 2*s**2 + 2*s - 27. List the prime factors of l(j).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34305 (base 7) in base 16?\nAnswer: 2217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 4:40 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*r + 10, -4*r = 5*x - 798. Let f be ((-8)\/(-2))\/((-1)\/x). Is f\/(-6) - (-14)\/21 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 + 5*h**2 - 1. Let a(i) = -5*i**3 - 14*i**2 + 3. Suppose 32*z - 12*z = 80. Calculate z*a(u) + 11*c(u).\nAnswer: 2*u**3 - u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 70, 106?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/1020 and 149\/52889720.\nAnswer: 158669160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 77, 129, 191, 263?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*-1.1268744.\nAnswer: 1.46493672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**2 - 41*x**2 + 7*x**2)*(-x**3 - x**3 - 2*x + 3*x).\nAnswer: 56*x**5 - 28*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -14) + 6 + 0 + (-10 - (-2 - 9))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1\/1)*3\/(-5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12563 + 0?\nAnswer: 12563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/22 and -3\/1472?\nAnswer: 16192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*a - 140115, -5*a = -l + 36642 + 103433. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-7)\/(-84) + (-1641830)\/(-120)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 121 + (-4 - 1) + (33 - (57 - 32))\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362569 is divided by 348?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44289615.\nAnswer: 3, 5, 571, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -65\/4 (b) 2 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 7*h + 55*h = 506. Let l(k) = 2*k**3 - 23*k**2 + 11*k + 2. What is l(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 22*w**2 - 2*w - 44. Determine p(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, k: 5, f: 1}. Give prob of sequence kx.\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = 13*t + 6*t - 209 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (19 + -15 - 6)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18524 is divided by 8947.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147003 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 1.0662 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n\/(n**(4\/5)\/n)*n)**12*((n**(-4\/9)\/n)\/n)\/n**(-1\/15) assuming n is positive.\nAnswer: n**(2701\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 44. Let d = 14 + b. Suppose d = c - 0 - 1. Calculate the greatest common divisor of 3 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15590 is divided by 285?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence guu when three letters picked without replacement from {u: 2, z: 1, g: 1, f: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2059 and 39476.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -18. Suppose -c = 3*q - 1, 4*c - 3 = p*q + 18. Suppose -5*f + 5*n = -15, -c*f + f = 4*n + 5. What is the greatest common factor of f and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 89\/2339452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + m + 0*m)*(-2*m + 3*m - 3*m)*(1 - 4 + 0).\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -150 + 161. Suppose -21*d = y*d - 96. Solve 4 = 4*c + c - b, -c + d*b + 12 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1101 (b) 0 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) -0.5 (b) -1\/7 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**3\/4 - 335*f**2\/4 - 5855*f\/4 - 21525\/4 = 0. What is f?\nAnswer: -41, -21, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/4 + 15\/(-5). Let g = -2\/33 - 52\/231. Sort i, g, -5 in descending order.\nAnswer: i, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d**2 + 2*d. Let f(w) = 266*w**2 + 77*w. Let q(m) = -2*f(m) + 77*j(m). Let n(k) = -4 + k**2 + 4. Determine q(n(g)).\nAnswer: 7*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/25)\/(14*34\/2975)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t + 10318 = -9*t. Does 67 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 383609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 p when four letters picked without replacement from pbbpbpp?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + d + 24, -3*g + 0*d - d = -8. Solve g*a = 2 + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 * 0.025\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4146 - 4145.5. Put -6.21, 1\/11, s in increasing order.\nAnswer: -6.21, 1\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 0 + 1\/180*h**5 + 0*h + 3*h**2 + 1\/360*h**6 - 1\/36*h**4 + 0*h**3. Factor c(b).\nAnswer: b*(b - 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/9249050 and -49\/40?\nAnswer: 36996200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -16. Suppose 3*r - 3*t = -12, s*t + 2*t = 5*r + 8. Let g = 453 - 454. Which is the fourth smallest value? (a) -1\/3 (b) r (c) 2 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -650, -788, -1164, -1898, -3110, -4920, -7448?\nAnswer: -10814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 7*n**6\/180 - 13*n**5\/60 - n**4\/72 + 11*n**3\/9 + n**2 - 2306*n. Let w(y) = 0. Calculate y.\nAnswer: -1, -2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -29*x + 4. Let m(a) = 44*a - 6. Give -7*h(p) - 5*m(p).\nAnswer: -17*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 11627*p + 534848. Determine z(-46).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5\/686 + 45663\/686. Which is smaller: -0.1 or j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 319\/7 - 15\/(-35)*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 + 82 = 5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/9)\/((-2)\/(-3)). Suppose -15 = -5*g - n*i, -7 - 10 = 3*g - 4*i. Let r be 0 + 2\/g - -1. Solve w + 10 = -3*s, -r*s = 5*w - 1 + 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.42 + -5.42. What is the closest to 0.11 in 0.5, p, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40290444 to the power of 1\/3, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 11, 3, 1 in increasing order.\nAnswer: -11, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = 7. Suppose 2*j = 3*n - 33 + v, -4*j + 4 = 5*n. Find the second derivative of -6*w + 4*w - 2*w**n - 6*w**4 + 2*w**4 wrt w.\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 1 + 8*c**2 - c**3 - 7 - 6*c + 5*c. Let s(l) = 3*l**3 - 62*l**2 - 58*l**2 + 17 - 52*l**2 + 149*l**2 + 3*l. Calculate 17*m(u) + 6*s(u).\nAnswer: u**3 - 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5290447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1033311 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 9277*r + 40. Give j(0).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*z + 3*f + 477, 2*f = z - 94. Let g = -187 + 349. Let o = g - z. Calculate the remainder when o is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(-4) - (7 + 4422\/(-360)) and -62\/87.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/3)\/v)**(1\/6)\/(v**(2\/11)\/v**(1\/6))*v**(1\/10)\/(v\/(v\/((v*v**(1\/2))\/v)*v))*(v**1)**(-50) assuming v is positive.\nAnswer: v**(-24598\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -76274 at most as big as -76310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981805546?\nAnswer: 2, 490902773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 7. Let w be j(-10). Let i = w - 10. Let c(f) = f**2 - 4*f - 8. What are the prime factors of c(i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 30*y**2 - 515*y + 569. Give i(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 141?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**3\/6 - n**2 + 10*n. What is r(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -241 (base 5) to base 11.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtrtrttttwttttt. What is prob of picking 1 t and 2 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6355, 11906, 17499, 23140, 28835, 34590?\n\"Answer: h**3 + 15*h**2 + 5499*h + 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 239 and 12599602?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1498 and 187678.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.94 + -11. Let j = -13454 + 13454.059994. Let d = y + j. What is d rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10290 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/528 and -85\/192.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -3*y + 17 + 13, 3*x = 5*y - 40 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0325*52.\nAnswer: -1.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.821 + 0.179. Let n = 2 + -2. Let y(l) = -l**2 + 11*l - 6. Let z be y(10). What is the closest to n in z, -3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -707*t**2 - 2*t**3 + 703*t**2 - 6 + 2*t + 3*t**3. What is q(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -438 (base 12) to base 16.\nAnswer: -26c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.024 and 18?\nAnswer: -0.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 3*t**2 + 23*t - 72. Let m be c(4). Let u(p) = p**3 + p**2 + p + 1. Let q(k) = 7*k**3 + 4*k**2 + 5*k + 4. Calculate m*u(l) - q(l).\nAnswer: -3*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -12*z. Let i(t) = 13*t. Determine -5*i(p) - 6*w(p).\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.39475 rounded to two dps?\nAnswer: -3.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114\/95*(-2 + 7\/(35\/(-15))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.7 - 3.3. What is the second biggest value in c, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 70*h - 11. Is q(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b**2 + 7*b + 1. Let z(i) = -6*i**2 + 6*i + 1. Let h = 22226 - 22223. Give h*z(c) - 2*m(c).\nAnswer: -4*c**2 + 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/2149262153?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g + 26. Let k be z(11). Suppose -k*o - 3 - 17 = 0. Let w = o - -18. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 3. Let l be j(4). Let f(y) = y**2 + y - 1. Let r(v) = 2*v**2 - 3*v + 3. Let o(z) = 3*f(z) + r(z). Let w be o(l). Solve 4*d = w*d + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-54 - 3) - (56 - 77)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 5*y + 3. Let m be i(6). Let l be 16\/(-90)*m\/12. Which is the second biggest value? (a) -0.4 (b) l (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07629 + -16.\nAnswer: -15.92371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 o when two letters picked without replacement from {x: 1, o: 4, t: 1, p: 7, s: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -29. Let g(k) = -5 + l*k**2 - 5*k**2 - k + 10*k + 10*k. Let y be g(18). Calculate the greatest common factor of y and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 0*m + m**2 + (5*m + 2*m + 0*m)*(-m - 2*m + 4*m)*(3 - 3 - 2).\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18 - 15*k**3 - 16 + 46*k**3 - 5*k**2 wrt k.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -2\/11 (c) 0.0727 (d) -0.06 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -491, -1962, -4413, -7844, -12255?\nAnswer: -17646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3072, 3073, 3074?\nAnswer: 3075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 468 - 510.1. What is m rounded to zero dps?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - 15) + 11 - (0 + -16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 4*z**2 - 8*z + 4. Let j be o(-6). Let r = 42 + j. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10259796 and 36?\nAnswer: 30779388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3754011 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 100425600 to the power of 1\/3, to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j = 305. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*o**2 + 22*o**2 - 33*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 2)*(19*a**2 + 67*a - 67*a).\nAnswer: 133*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**4\/2 + 563*k**3 - 499675*k**2\/2 + 24720784*k - 160997760 = 0.\nAnswer: -1485, 7, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -11*z**2 + 19*z - 25. Let g(q) = -5*q**2 + 9*q - 12. Let i(w) = -9*g(w) + 4*o(w). Let r be i(7). Suppose 101 - r = u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436.3311 kilometers to micrometers.\nAnswer: 436331100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 3*f - 12. Suppose 0 = -r - 7*m + 2*m + 20, f = -2*r + m. Let k(p) = p**2 + 72. Let h be k(r). What is the greatest common factor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 59956039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.85736 and -1.64.\nAnswer: -4.49736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 110 = 110*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, i: 8, p: 7}. What is prob of picking 2 x?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 8*m - 2 = 0. Let q(o) be the second derivative of -1\/6*o**m + 1\/9*o**3 - 1\/36*o**4 + 0 + o. Suppose q(h) = 0. Calculate h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2987342 millimeters to centimeters.\nAnswer: 0.02987342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s - 89*s = -620. Calculate the smallest common multiple of 180 and s.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32114759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 13*p = 9*p + 21, 4 = p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1554.7 rounded to the nearest 10?\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*p**2 + 112*p**2 + 250*p**2.\nAnswer: 391*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/40 - (-1)\/5. Suppose -u - 14 = -3*u. Let y = u + m. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.5 - 1.2. Let q = -2.81 - i. Let a = q - -0.1100003. Round a to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 688.2773g?\nAnswer: 0.6882773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*z**4 + 52*z - 195 wrt z?\nAnswer: -8*z**3 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7015*l**2 - 5841 wrt l.\nAnswer: -14030*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.260862 rounded to two dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -558063 times -5?\nAnswer: 2790315","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/14)\/(117\/(-74) + 2). Let y = -7\/31 - a. Put 1\/3, y, 7 in decreasing order.\nAnswer: 7, 1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 8.5622.\nAnswer: 4.2811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6 and 48926723228810.\nAnswer: 48926723228804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869021 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**6\/15 + 484*h**5\/25 + 13897*h**4\/10 - 60016*h**3\/5 + 138384*h**2\/5 + 6192. Find q, given that t(q) = 0.\nAnswer: -124, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + (sqrt(84) + -2*sqrt(84))*-1 + sqrt(84))\/(sqrt(12) - sqrt(432)*-4) + (-2 + sqrt(847) - 3*(sqrt(7) + -2))**2.\nAnswer: 1603*sqrt(7)\/25 + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-10)*(y**(-2\/17)\/y)\/y*y)\/(y**(-20)\/y**(-2\/13)) assuming y is positive.\nAnswer: y**(1929\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132497 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -6641*b - 6641*b + 2341 + 13281*b in the form r*b + k and give k.\nAnswer: 2341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4709.822173 rounded to zero dps?\nAnswer: -4710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)\/p**17)\/(((p**22*p)\/p*p)\/(p*(p*p\/p**(7\/2))\/p)) assuming p is positive.\nAnswer: p**(-95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 826, 831, 840, 853?\n\"Answer: 2*b**2 - b + 825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**3 + 2*q + 3. Let x(z) = -4*z**3 + z**2 - 3*z - 3. Let r(c) = -3*p(c) - 2*x(c). Let w = 83 - 86. Give r(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 49\/4 of a century?\nAnswer: 14700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 5*l + 33 + 6*l.\nAnswer: l + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.21 + 0.085. Round z to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75454019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (19 + -2 - 13) - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -11*o + 491. Determine l(8).\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28320336 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 10:20 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sossosssosss. Give prob of sequence os.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/421096 and 57\/842192.\nAnswer: 842192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -156203, -312405, -468607?\n\"Answer: -156202*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 167*c**2 - 18*c + 2990. Give n(167).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 897524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-10)\/l**(-17) assuming l is positive.\nAnswer: l**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + 1*(3 - 2). Suppose -5*o = 5*g - 380, 3*g = -0*g + o + 232. What is the greatest common divisor of g and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -9374.\nAnswer: -2\/4687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/31 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3324\/1 + (2 - (0 - -7)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*j**2 - 41*j**2 + 1642*j - 1506*j.\nAnswer: 2*j**2 + 136*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 11 = -4*k - o, 0 = 5*k - 3*o + 22. Suppose -12 = 22*c - 25*c. Sort 0, c, k in decreasing order.\nAnswer: c, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/5*z**2 + 0 + 4\/5*z**3 - 1\/5*z**4 + 0*z = 0. What is z?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0755291+3\nAnswer: 3.0755291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -0*y - 75. Let j = 2 - 0. Suppose j*z = 10 + 2. What is the greatest common divisor of z and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 113899466?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**3 - 111*j**2 + 2*j - 53. Let p be s(37). Solve p + 3 = 8*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 444564.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84*21\/2100*(-35)\/(-42).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*i = -170680, 2*h - 34164 = h + 5*i. Suppose 5*k + 215861 = -h. What is k rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -135, -14.1, -0.5, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/15778 and 59\/9.\nAnswer: 142002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2 + 2. Suppose -4*c = -3*w + 19, -w - p*w - 5*c - 15 = 0. Does 6 divide (-49)\/(-4) + w\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4169 - -4170. Which is the biggest value? (a) -74 (b) 30 (c) 0.4 (d) 1\/3 (e) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1897 and -11407.\nAnswer: 2163.9079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooylyyyrddoe. Give prob of picking 1 r and 1 d.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -116 - -196. Calculate the lowest common multiple of (-18)\/15*i\/(-6) and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 918 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i**2 - 10*i + 12. Let p be x(-5). Let z be -7 - (171\/p + (-6)\/(-4)). Let m(q) = 4*q - 3 - q + 1. Give m(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-27))\/(20\/(-24)). Which is the biggest value? (a) n (b) -0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 11*z - 50 = -5, 5*z + 35 = -22*f + 24*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2449 is divided by 266.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14816 is divided by 1346?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 1. Let f = -11 - -9. Let z be (2*2)\/(f\/(-7)). Let x = -16 + z. Let j(l) = -3*l - 4. What is x*j(t) + 7*c(t)?\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43329752 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 13 - 15 = 0. Let i be (-3 - (b + 1)) + -3. Suppose i*p - 2*p + 42 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -21*p**3. Determine b(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/4)\/((-1)\/8). Let m = 15 - 35. Let y be (-16)\/20*m\/8. Is y != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 38b9 + -16a?\nAnswer: 374d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -159, -351, -543, -735?\n\"Answer: -192*f + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 655689?\nAnswer: 655693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 12*v - 8. Let b be c(13). Let f = -28 + 79. Suppose -f*o + 52*o = -b. Sort 5, o, -2, 3 in decreasing order.\nAnswer: 5, 3, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 19 = 5*l. Let i(d) be the third derivative of 0 - 1\/300*d**l - d**2 + 1\/120*d**4 + 1\/15*d**3 + 0*d. Factor i(z).\nAnswer: -(z - 2)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 38*n**3 + 21*n**2 + 7*n + 14. Let l(p) = 21*p**3 + 11*p**2 + 4*p + 8. Let q(a) = 5*d(a) - 9*l(a). Determine q(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3190889 + -14.849817\nAnswer: 3190874.150183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 68 + 26 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = 4*g - 125. Let c be 2\/(g\/3*1)*-4. Let w(b) = 12*b - 4. Let z be w(5). What is the greatest common divisor of z and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxuq when four letters picked without replacement from uqxuxuuxuqqqqqu.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5621201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1233642, -1233636, -1233626, -1233612, -1233594?\n\"Answer: 2*s**2 - 1233644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -66. Sort -22, p, 2 in decreasing order.\nAnswer: 2, p, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7\/42 - (1253\/6)\/((-9)\/279)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 - 5*c**2 - 3*c - 1. Let u be i(-3). Suppose 5 - u = 6*a. What is the units digit of 142\/4 + a\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + h - 4*h)*(2 - 2 - h) + (h - 2*h + 3*h)*(1 - 1 + h) + 3*h**2 + 9 - 2*h**2 - 1.\nAnswer: 2*h**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -297580*p**3 - 50*p**2 - 72*p - 21. Is o(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**4\/24 + 5*d**3\/2 + 9*d**2. Let b be c(11). Suppose 0 = -n + 3, 3*n = 8*l - b*l + 85. Put l, -2\/7, 3 in ascending order.\nAnswer: l, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + o + 1. Let q(u) = -27*u**3 + 6*u**2 - 5*u - 5. What is -5*m(p) - q(p)?\nAnswer: 27*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 447343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**2 - 13*v - 9. Let s be (-33)\/7 - (-4)\/(-14). Let m = s + -3. Is i(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75 + -43. Let l = 0.021 - -0.053. Let g = l - -0.026. Is c < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1962, 4090, 6384, 8844, 11470, 14262, 17220?\n\"Answer: 83*v**2 + 1879*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/232 (b) 2\/19 (c) -1 (d) 5 (e) 12\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1894297, -3788603, -5682911, -7577221, -9471533?\nAnswer: -11365847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/12)\/(f**33\/f))**35)**(-5) assuming f is positive.\nAnswer: f**(67025\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a - -a9?\nAnswer: 7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 361*m + 291 with respect to m.\nAnswer: 361","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -54. Solve -i = -4*o - 51 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**6\/6 + 3*u**5\/20 - u**4\/24 - 17*u**3\/6 + 49*u**2 - 3. Is c(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(112) + 5 + -2 + sqrt(112)*4 + -4)**2.\nAnswer: -80*sqrt(7) + 11201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -4723670 and 83.1.\nAnswer: -4723586.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -3*x - 5 + 0*x**2 + 7\/6*x**3. Let t(g) be the first derivative of u(g). Let c(z) = -z**2. What is t(c(p))?\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112233164 to the nearest integer?\nAnswer: 10594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1963 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2 + 5*p + 0*p**2 - 5*p + 11*p + 2*p**2. Suppose 5*a - 31 = -6. List the prime factors of o(a).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88 * 741.\nAnswer: -65208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 88617743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.067 + -177.033. Let s = h - -177. Which is the fourth smallest value? (a) 4 (b) 2\/7 (c) 3 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**3 - 3*a**2 + a + 3. Let h be m(-3). Let i be (3\/(-18))\/((-6)\/h). What is the closest to 3\/2 in -1, i, -5\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 12973*f - 1. Let w(z) = 14*z. What is w(u(t))?\nAnswer: 181622*t - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 434*f**6*t + 100*f**3*t**2 + f**2*t**2 + 3*f**2 - 7*f*t**2 - 2*t wrt f?\nAnswer: 52080*f**3*t + 600*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5858.799*-4\nAnswer: -23435.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 4:05 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 256\/(-14) - (-6)\/21. Let b be (-110)\/(-9) - (-4)\/k. Let c be ((-3366)\/85)\/(9*6\/(-180)). Calculate the greatest common factor of b and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 658 - 5?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -101 - (12 + 23)) + 34?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 5 - (-6 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -24. Let q = -1.5 + 4.5. Let h = -1 + q. Which is the nearest to m? (a) -1 (b) 0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 123 = -138. Let i = 3 - 2. What is the smallest common multiple of l and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -674.8 + 677. Which is the third smallest value? (a) n (b) 0.4 (c) -0.1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) -1.459 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4) + (-46)\/(-76). Let i = 18 - 1. Let n = i + -19. Which is the closest to k? (a) n (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/48)\/((-15)\/54*3).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 296 + -286. Solve -5*l + m = -4*p, 0*p - 2*p = 2*l - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*l**2 - 10*l**2 + 8*l**2)*(5*l - 4*l + l)*(7*l + 33*l + 44*l).\nAnswer: 2184*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = x - 5*g, x - 28 = 5*x + g. What is the units digit of -1*-10*x\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) -0.1 (c) 0.29 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*w = 6 + 4, -3*s - 4*w + 7 = 0. Let u(v) = 8*v + 1. Let i be u(s). Factor 2*f + f**2 - 4*f**2 - 4*f**2 - i*f**3.\nAnswer: -f*(f + 1)*(9*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -727688304*x - 727688304*x - 727688269*x + 2183064878*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/83? (a) 1\/4 (b) 0.4 (c) -0.3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/2*1*(-13)\/((-286)\/(-33))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**6\/90 + h**3\/6 - 14*h. Let f(a) be the second derivative of r(a). Let b(m) = 0 + m + 0. Give f(b(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = w - 144748, 38*w - 28923 = -h + 34*w. What are the prime factors of h?\nAnswer: 13, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**6\/2 - 9*a**5\/10 + 6*a**4 + 33*a**3\/2 + 3*a**2 - 18*a + 488. What is b in y(b) = 0?\nAnswer: -2, -1, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 623 in 28\/51, -0.4, -1\/6?\nAnswer: 28\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t = -j - 8, t - 9 = -2*j. Suppose -t*i + 8*r = 3*r - 19515, 3*i + r - 11725 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-2 - -6)\/2. Suppose -3*c + 2*c + 46 = l. Suppose -18 + 3 = -j + o, 2*j + 2*o = c. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -301493 - -533590. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 75*f - 6771*f in the form l*f + q and give l.\nAnswer: -6846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -333*t**2 - 72*t + 72. Suppose -3*z = -4*d + 7*d + 195, 3*d = -18*z - 1275. Let c(s) = -23*s**2 - 5*s + 5. What is z*c(j) + 5*m(j)?\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 44793.\nAnswer: 44793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**4*x**33\/x)\/(x*x**(-5\/9)\/x)**(42\/5) assuming x is positive.\nAnswer: x**(125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 1648526845.\nAnswer: 1648526843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 98585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 651, 633, 591, 513, 387, 201, -57?\n\"Answer: -2*t**3 - 4*t + 657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 18. Let a be k\/56 + 46\/14. Solve 2*v = -1 - a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 136918, 136916, 136914, 136912, 136910, 136908?\n\"Answer: -2*l + 136920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(120\/18)*(-32)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - 6b3cb8?\nAnswer: -6b3cc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.14 - -0.14. Is m smaller than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 259, 586, 989, 1474, 2047, 2714?\n\"Answer: r**3 + 32*r**2 + 224*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4299 divided by -1?\nAnswer: -4299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/33 + (-245)\/(-64680). Let q = 3.3 - -0.7. Put i, q, -0.2 in descending order.\nAnswer: q, i, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2. Let k(m) = -343*m**2 + 2*m - 4. What is k(b(n))?\nAnswer: -1372*n**4 - 4*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31808798?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-403)\/93)\/(-2 - (-5)\/3). What is the greatest common divisor of 611 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 22. Let l = -266 - -377. Calculate the remainder when l is divided by u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**3 - k**2 + 5*k + 8. Let h = -562 + 561. Let t(f) = -f**3 - f. Let q(b) = h*d(b) - 4*t(b). Determine q(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -13*v**4\/6 - v**3\/6 - 23*v + 1. Let a(z) be the third derivative of z**5\/30 + 10*z**2. Calculate d(a(p)).\nAnswer: -104*p**4 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 25*w**2 + 28*w + 1. What is the remainder when u(26) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -9*p**3 + 4*p**2 + 5*p + 6. Let f(m) = 2*m**3 - m**2 - 1. Let n(w) = b(w) + 4*f(w). Determine n(4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6800 - -9678. What is the remainder when t is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8667972 is divided by 4333956.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179417?\nAnswer: 7, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5\/31, -0.2, -3 in decreasing order.\nAnswer: 2, -5\/31, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**5\/3 + 8*d**4\/3 + 6*d**3 - 9*d = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - a**2 - a**2 - 7*a - 17*a - 24*a + 46*a - 12*a**3 in the form w + s*a + f*a**2 + y*a**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 551958?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (56\/6)\/(1\/(-18)*-6). Let w = 22 - 18. Suppose w*j - 2*u - 272 = -0*u, -u + 4 = 0. What is the greatest common factor of n and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.29, 16983\/181 in increasing order.\nAnswer: 0.29, 1, 16983\/181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5571?\nAnswer: 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*d + 4*t, 6 = -0*d - 2*d - 2*t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*m**3 - 4*m**2 - 151*m**4 - 6*m**2 - 4*m**4 - 62*m**5 - 28*m**5 = 0 for m.\nAnswer: -1, -1\/2, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 4:47 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**5\/270 - j**4\/54 - j**3\/27 + j**2. Factor o(l).\nAnswer: -2*(l + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -506, -609, -712?\n\"Answer: -103*t - 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 87*a - 56671 - 10232. What is the remainder when a is divided by 198?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4443*i**2. Let s(x) = -4*x**2. Calculate g(s(b)).\nAnswer: 71088*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32*p*u**3 + 114*u**3 wrt p?\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 167*f**3 + 47*f**3 + 18 - 29.\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*d**3 + 2*d**4 - 36*d**3 + d**4 + 3*d + 1 + 0*d to k*d**3 + m*d + o + x*d**4 + c*d**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 11:39 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*y - 9, -92*q = -94*q - 2*y - 14. Let v(t) = 2*t**2. Let h(d) = 2*d**2. Determine q*h(r) + 4*v(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -8*d**2 + 1620*d + 17827. Give c(213).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 3*f**2\/2 - 30*f + 2. Let k = -84935 - -84948. Determine x(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-6)\/(-16))*89\/(-43432)*-61?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 23. Let h(w) = -w**3 + 7*w**2 - 7*w + 2. What is h(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)*x\/(x\/x**(-1\/30))*x)\/((x\/x**3)\/(x*x\/x**(-2\/11))) assuming x is positive.\nAnswer: x**(-1271\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 24*d - 27. Let l be r(22). Suppose q = -l - 34. Let x = q + 53. Solve -x*k + 12 = 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 265 + -264. Calculate the highest common factor of 224 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -422*b + 420*b = 210. Calculate the remainder when 70 is divided by (-1400)\/b - (-5)\/((-30)\/8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*(z**(6\/13)*z*z)\/z)\/z)\/z)\/z**(-2\/5)*(((z\/(z\/(((z**(-7)\/z*z)\/z)\/z*z)))\/z)\/z)\/z*z**10 assuming z is positive.\nAnswer: z**(-9\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-208251\nAnswer: -62475.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 - 5*s**3 + s**3 + 4*s**3 - 5*s**3 + 3*s**3 - 3*s - s**3 + 3*s + (-2 - 2*s + 2)*(0*s**2 - s**2 + 0*s**2) + 177*s**3 + 2235*s - 1106*s - 1124*s.\nAnswer: 178*s**3 + 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*h**2 + 13*h**2 + 11*h**2 + 36*h**2 + 12*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2. Let w(m) = -3*m. Let p(d) = d - 3. Let g(l) = l - 1. Let o(t) = -3*g(t) + p(t). Let v(u) = -5*o(u) + 3*w(u). What is c(v(q))?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -120093*(-5 - -12)*((-10)\/3 - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**3 - p**3 + 0*p**3 + (-p + p**2 + p)*(2 + p - 2) - 7*p**3 + 38*p**2 - 38*p**2 + 0*p**3 - 3*p**3 + 0 + 2 to f*p + j*p**3 + n + v*p**2 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4 - 9*s + 5*s + 5*s. What is o(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1223 (base 5) to base 7.\nAnswer: -356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*d - l, 2*d = 5*d - l - 11. Let o(h) = -6*h**2 - 2*h - 11. Let z be o(d). What is z rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -490*d*m**3 - 33487*d - 270555*m**3 + 1444*m**2 wrt m?\nAnswer: -2940*d - 1623330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -42d54?\nAnswer: 42d52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-147)\/(-6)))\/(80\/280)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 328489448351\/18799 - 17473773. Let t = k + 2\/1709. Sort -5\/4, t, -5 in increasing order.\nAnswer: -5, -5\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/14)\/((225\/(-60))\/(-3))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 11*m + 1. Let t(c) = 629635*c. Determine t(h(n)).\nAnswer: 6925985*n + 629635","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -2, 3, 0.2, -9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 10*z. Let g(c) = -29*c. Calculate -2*g(v) - 7*q(v).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -233614, -234108, -234932, -236086?\nAnswer: -237570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 0, 3*t + 5*c - 12 = 3*c. Let m be t\/(-2)*(-45)\/6. Suppose 2*j = -1 + m. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) + sqrt(1960))\/sqrt(8) - (sqrt(5)*3 + sqrt(5))**2*-1 - -2*(-4*-2*sqrt(25))\/sqrt(5).\nAnswer: 24*sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 239, -4, 0.4, 36?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8923298 is divided by 2230818?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**3 - j**4 + 4*j**3 + (-5*j**3 + 0*j**3 + 4*j**3)*(-2*j + 4*j - j) - 361 + 68*j**4 + 35*j**4 + 363.\nAnswer: 101*j**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16151924*a**4*f - 4*a**3 + a**2*f - 2*a**2 - 12*a*f - 568*a + 83*f wrt a.\nAnswer: -387646176*a*f - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**3 - 2*m**2 - 3*m + 3. Let v be h(2). Let x = -8 + v. Calculate the remainder when 7 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15481 and 2673241.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 - 922*z**2 - 71451*z - 93636.\nAnswer: -(z + 153)**2*(3*z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2275741.\nAnswer: 13, 31, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44274\/41 - -1080. Let i(d) = -2*d - 26. Let p be i(-13). Is b bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83297628*f**4 + 3106229*f**2 - 5*f wrt f?\nAnswer: -1999143072*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/8088302 and 22\/9?\nAnswer: 72794718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 6:34 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from {r: 1, n: 2, x: 1, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 1. Let f be (5 + -3)\/((-4)\/(-22)). Let a = f - 5. Let t be j(a). What is the highest common factor of 37 and t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -865*k**2 - 1222*k + 496*k + 155*k - 1110*k - 1197*k**2 wrt k.\nAnswer: -4124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b**2 + b + 2. Let q(f) = -f + 2. Let a(p) = 6*q(p) - 3*v(p). What is the second derivative of a(i) wrt i?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*b**3*t**3 + b**3 - 7*b*t**3 - b*t - 26*t wrt t?\nAnswer: 330*b**3*t - 42*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 450 - 650. Let s be (-2)\/(v\/(-24) + -8). Let b(f) = -f**3 - 6*f**2 + 2*f - 6. Calculate b(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6 = -j. Suppose -j = -5*m + 2. Let z be (-576)\/(-126) - 8\/14. Solve 4*a - m = 5*a - 3*q, 0 = -z*a + 5*q - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3 - 201898*p**2 - 1413243*p - 1211346 = 0. What is p?\nAnswer: -201891, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**3\/3 - 21*j**2 + 114*j - 227. What is the hundreds digit of y(46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v**3 + 16618*v**2 + 6298916*v + 17055480 = 0 for v.\nAnswer: -754, -30\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2499\/89, -1\/15 in ascending order.\nAnswer: -1\/15, 0.5, 2499\/89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 14 + (-2 - -2) + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5951 - 5951 - 12*t. Let n(l) = -l - 8. Let z be n(-10). Let m(v) = v + 2*v - z*v - 2*v. What is m(p(u))?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/((r\/(r\/r**(-1\/3)))\/r))\/r)\/r)**(3\/32)\/(r**(-22)*r**(1\/6)*r))**(-36) assuming r is positive.\nAnswer: r**(-6009\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*6\/(-6))\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 76\/(-308)*1 - 4\/22. What is the biggest value in 4, r, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -171 - -338. Suppose -3*p + 543 = -3*g, 2*p = -4*g + 523 - o. Does 27 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 61088 + 61088.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4 + 564*t**3 - 41954*t**2 + 309072*t - 600608.\nAnswer: -2*(t - 137)**2*(t - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -11. Suppose 3*u = m + 11. Solve -3*p - 7 = -3*c - 4*p, 2*p = u*c - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, o: 1, x: 2, r: 2}. Give prob of sequence oro.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -879000 rounded to the nearest ten thousand?\nAnswer: -880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 v, and 2 i when four letters picked without replacement from {i: 2, n: 1, a: 1, v: 4, c: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c + 5*c + c**2 + (0 + 2 - 4)*(-5*c**2 + 0*c**2 + 4*c**2) + 21*c**2 + 130306*c + 2 - 130306*c in the form w + g*c + b*c**2 and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5\/11 - 4*g**4\/11 + 18*g**3\/11 + 4*g**2 - 8*g\/11 - 48\/11 = 0. Calculate g.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6 (b) -3\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/25)\/z)**20*z**(2\/7)*z*z**(-8))**(-33) assuming z is positive.\nAnswer: z**(29931\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 4)*(-2 - 3 + 3)*(422*y - 221*y - 213*y) to the form a*y + t and give a.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -14. Suppose -o = z*o - 2*u - 31, o - 19 = 5*u. Suppose 4*d - d = o. Solve p + d - 1 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -985 and -5608661397.\nAnswer: -5608662382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/23*(-10 - -9)*2?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132105898*z**5 - 206128910*z.\nAnswer: -2642117960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 69*s - 33*s - 24 = 0, 3*i = 3*s - 72 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 6*q + 2. Let u be k(-5). Suppose -h = 3 - u. Suppose -5*c = -4*x - 2, -1 = -h*x + 7. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 10*p**2 + 12*p. Let o(y) = -8*y + 24. Let w be o(4). Calculate d(w).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11821868 is divided by 11556?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74622 - -30378. What is a rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**2 + 3*x - 5. Let z = 44 + -36. Let o(p) = -6*p**2 + 5*p - 8. Give z*l(w) - 5*o(w).\nAnswer: -2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/223 - 184\/8697. Let k = b - 23\/117. Let z = 267.5 - 267. What is the nearest to 1 in z, 23, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 4:34 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/15)\/10 - -2.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/6)\/(820\/1640))\/((-2)\/(-48))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11258 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 130 divided by 10\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 - 1.7. Let r = 0.26 - -11.74. Let n = r + -18. Which is the second biggest value? (a) y (b) -2\/11 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -199 + 199 - 3*r + (5 + 1 - 2)*(17 - 4*r + 5*r - 2).\nAnswer: r + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23262246 divided by -16054.\nAnswer: -1449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -270089 or -270087?\nAnswer: -270087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 4:55 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -37.\nAnswer: 1.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 + 53. Which is the second biggest value? (a) -4\/9 (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, r: 1, p: 1, f: 10}. Give prob of sequence pbfr.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 7*y**2 + 5*y - 4. Let z be p(-6). Let n = 1646 - 1645. What is the greatest common divisor of z and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 m when four letters picked without replacement from gmgmmgggggg.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3*(-5 - 1). Suppose -3*h = -x - 4. Let v = h - -8. Solve -2*q - v = 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -5*p - 37, -345*m + 348*m = 2*p - 23 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -8*t - 15*t**2 - 4 + 32*t**2 + 5*t - 18*t**2. Determine u(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4536) - -1*sqrt(4536))*2)\/(sqrt(96)\/(sqrt(24)\/sqrt(2)) + sqrt(64)\/(sqrt(24)\/sqrt(3) + sqrt(8)))*-1.\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 239439515 to the nearest integer?\nAnswer: 15474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)\/sqrt(300) + sqrt(30))*-4)\/(sqrt(1440)*-2*2 + sqrt(1440)).\nAnswer: 2*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6018 * -19262.\nAnswer: 115918716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(28\/(-2))*(-2)\/(-19)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2907, 2905, 2901, 2895, 2887?\n\"Answer: -i**2 + i + 2907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 59, 1\/7 in ascending order.\nAnswer: 1\/7, 5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfffqqqq. What is prob of picking 2 f and 1 q?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74392 and 4352.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1363 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*z = 9, -4*z - 5 = i - 2. Suppose -3*d = -i*n - 35, -4*n + 0*n + 9 = 5*d. Suppose -d*c - 4*h = -2*h + 20, -4*c + 7 = -3*h. Sort -0.5, -2\/11, c.\nAnswer: c, -0.5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96*m**3*r - 4257*m**3*x**2 + 3*m**2*r*x + 155*m*r*x**2 - 2*m*r*x - 5*m*x - 2*r*x + 66*x wrt m.\nAnswer: -576*r - 25542*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 108 = 90. Let y be (-8)\/(-1 - 0 - -2). Let c = y + s. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**5\/60 + 7*g**4\/24 + 3*g**3\/2 - 32*g**2. Let j be h(-4). Which is greater: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 1124*d + 30353, 1903 = -5*d + h + 1767 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7740210 - -8128165.3. Let m = -387954.8999978 + y. Let c = m + -0.4. Round c to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 141160*a**3*s**3 - 2*a**2*s**3 + a**2 - 3550*a wrt a.\nAnswer: 846960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -253*m**2 + 22257*m + 300. What is u(88)?\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1995 = -619*i + 678*i + 424 for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1602 a factor of 44125157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3. Let w(k) = -7*k + 4*k - 5 + 2*k. Let a be (-6)\/(-12) + (-8187)\/(-6). Let o = -1361 + a. What is o*w(m) + 7*u(m)?\nAnswer: -4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 times 0.8?\nAnswer: 66.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-65)*24*(-1001)\/(-140448)\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1331) + -1 + sqrt(1331) + (sqrt(1331) - (sqrt(1331)*3 + 3)) + 4 + (sqrt(1331) + (sqrt(1331) + 0)*-4)**2*3.\nAnswer: 35934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*q + 895 + 805, 0 = -2*q. Let l = 401 - s. Is l smaller than 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*v + 5*v**2 - 10*v + 43*v - 19*v.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45150\/12040 + (1 - 3)*1?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**4 + 75612*d**3 - 75620*d**2 - 75612*d + 75616 = 0.\nAnswer: -18904, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (3 - 0 - 13). Let o = x - 3. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 242.8 and -1067.\nAnswer: -824.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1\/39289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -3)*(-52 - 2)\/(-9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 91405 + 24375. Suppose 33*x + l = -4480. Round x to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 921 - 921 - r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002025156088 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3669 (b) 17730 (c) 0.1 (d) -3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8804690?\nAnswer: 2, 5, 29, 97, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -77?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 598\/11 + -2381\/44. Let q = 5.02 + -0.02. What is the third biggest value in -35, f, q?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of 3*f**4\/8 - f**3\/3 - 9*f**2. Differentiate w(u) with respect to u.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -7.2.\nAnswer: -2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 4*n - 6. Suppose -2*p + 5*x + 13 = 2*x, 0 = -5*p + 3*x + 37. Suppose 2*o - p*o + 36 = 0. What is k(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -835 + 1231. Let v = -294 + y. Calculate the highest common divisor of 12 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43380 is divided by 611?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -261283431.000219 - -261283085. Let k = o + 346. Round k to 5 decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/9 or 1876?\nAnswer: 1876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 5:44 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -113 + 117. Suppose -4*l + r*a = -904, -l + 224 = -0*l - 3*a. What is the remainder when l is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*c + 24 = -54 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 34. Suppose -33*w - 4 = -o*w. Solve w = -2*l + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -199 - -417. Suppose 609 = 225*q - i*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*n**2 - 53*n**2 + 0*n + 0*n + 261*n**3 - 8*n**2 + 38*n**2.\nAnswer: 261*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r + 38. Let h be z(6). Let q be -7 + (8\/h)\/(4\/(-20)). What is the second smallest value in -0.1, 2\/5, q, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of w**4\/4 + 4*w**3\/3 + 3*w**2\/2 + 3*w - 985. Calculate d(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 21 + 40 + 3988*b**2.\nAnswer: 3988*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d. Suppose 0 = 2*n - n - 7. Let s(p) = 8 - p + n*p + 0*p - 3*p. What is s(q(u))?\nAnswer: 3*u + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - -1. Suppose -k - 4*h - 16 = 0, -k + 2*h + x = -0. Let b be (-5)\/1*(-2 + 1). Solve -v + 5*v + 3*l = 7, 2*v - b*l + 3 = k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 1:25 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 161 = -d. Suppose -2*b - g = -3*b + 164, -4*g - d = -b. Suppose 0 = 4*w + w - b. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 72*w + 71. What is the hundreds digit of j(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.75209448 minus -10.5?\nAnswer: -16.25209448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*a**3 - 132*a**3 - 55*a**3 + (-3*a + 0*a + 4*a)*(1 + 2*a**2 - 1) + 3*a**3 - 3*a**3 + 2*a**3 in the form n*a**2 + g*a + z + i*a**3 and give i.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*l + b - 2, 2*b = -3*l + 10. Factor 18*y - 9*y**3 + 24 - 6*y + 3*y**2 + 3*y**4 + l*y**3 - 21*y**2.\nAnswer: 3*(y - 2)**2*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 39*q - 35 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -583 - 70?\nAnswer: -653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**2\/x*x*x*x**(2\/9)*x*(x**0)**(1\/29)*(x\/(x\/(x*x**(-1\/3)*x)))**(3\/11)*x**6*x**(-1\/7) assuming x is positive.\nAnswer: x**(7993\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j - 4. Let f be x(5). Let t(k) = k**2 - 6*k - 3. What is t(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 937 = -110*a + 112*a, -185 = g - 2*a. Which is smaller: -189 or g?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.083374427 rounded to 3 dps?\nAnswer: 0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1.02, 4, -2\/15, 0.2, 3.54?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 131, 186, 227, 248?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j - 7 - 2*j + 5*j + 7*j. What is the units digit of l(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*z - 102, 4*p - 3*z - 45 = p. Let j = p - 16. Suppose -18 = -j*m - 5*d + 9, 5*m - 4*d = -15. Let k(a) = -3*a**2 + 2*a - 1. Give k(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6 = l, 7*l - 3*l - 20 = -4*f. Solve 6*b - l*b + 4 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416936712.\nAnswer: 2, 3, 29, 67, 8941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**2*w**3 + f**2 + 16*f*w**4 - 2*f - 7*w wrt w.\nAnswer: -18*f**2*w + 192*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*v**2 - v**3 - 2*v**3 - 40*v**2 to f*v + m + t*v**3 + l*v**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 1 + -5 + 0. Let d be (-9)\/(-20) - (-1)\/h. Let t be (1 + 0)\/((-9)\/(-2)). Which is the smallest value? (a) d (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q + 273. Calculate f(-86).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -4728 bigger than 4.75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v = 16*v + 28. Solve 0 = -v*f + 5 - 13 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7078 - 181478 = -109*x. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 15*c - 17*c. Suppose -4*s = l - c*l + 63, 4*l = -3*s + 59. Put 0.5, -0.4, 0.2, l in increasing order.\nAnswer: -0.4, 0.2, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 + 66. Is 5 a factor of ((-744)\/36)\/(c\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 9:46 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 17 = -73. Let d = l + 163. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 0*t + 0*t**3 - 5\/24*t**4 + 0 - t**2. Let h(o) = 7*o**2 + 5. Let n(j) = 6*j**2 + 4. Let d(s) = 4*h(s) - 5*n(s). Give q(d(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 14 = -h, 7*w = 5*w - 5*h + 2. Let x(i) = -5*i**3 + 4*i**2 + 3*i - 4. Let c(p) = 6*p**3 - 5*p**2 - 4*p + 4. Calculate w*c(u) - 5*x(u).\nAnswer: u**3 + u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t**3 - 31*t**2 + 15*t + 42. What are the prime factors of d(18)?\nAnswer: 2, 3, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 1\/12*n**4 + 5*n - 5\/6*n**3 + 0*n**2 + 0. Find the second derivative of o(w) wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71500000 rounded to the nearest one million?\nAnswer: -72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.044457 + -592584914.\nAnswer: -592584914.044457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 0, -1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-504))\/((-1)\/9).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43258492 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - c = -9, -w + 24 = w + 4*c. Let i be (3 - -1) + 0\/1. Let p(o) = i - 1 + w*o - 5 - 3*o. Give p(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -18*x - 26. Let g be s(-5). Let j = 101 - g. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -14. Does 4 = a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 501, 2093, 4749, 8469, 13253, 19101?\nAnswer: 26013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 9 = 3*u, 4*w + 0 = -2*u - 8. Solve 2*h = n + n + 6, -15 = -u*h + 5*n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 3. Let x be s(2). Let h(n) = -1 + 0*n**2 + 2*n**3 + n**2 - n - 3*n**3 + 0*n**2. Calculate h(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (234 - 235 - (-2 - (-7 - -2))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 239 - -114?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p + 25*p + 10 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 681 = -2*a, -5*d + 747 = 5*a - 1008. What is the derivative of 114*k - 101 + a - 279*k**3 - 114*k wrt k?\nAnswer: -837*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-4 - 10) - 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z. Let u(b) = 22*b. Calculate -10*q(s) + u(s).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52696 and 203476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*k)*(-715 + 716 - 83*k - 158*k) in the form r + h*k + q*k**2 and give q.\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-7\/4))\/(d\/(d*d**6)*d*d)*d**0*d\/d**(-4))\/(d\/d**(-2\/7)*d**(1\/4))**(-8) assuming d is positive.\nAnswer: d**(575\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from frpfcgfqqqfff?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -116452 from 11.\nAnswer: 116463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 2948*f + 1550166. Give v(685).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 1\/4, -0.4, -0.076?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w - 216. Let l(z) = 4*z + 205. What is -18*h(b) - 19*l(b)?\nAnswer: 32*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/117 or 1?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 - 51. Suppose 0 = p*h + 21 - 1. What is the units digit of 1\/(h*(-3)\/360)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-8))\/((-11)\/(-6)*(-2477)\/(-108988))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/9 (b) 6 (c) 2 (d) -2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/(-10934))\/((-16)\/(-56)).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s + 2. Let k be b(-2). Let g = k - -11. Let v(i) = 4*i - 11. What are the prime factors of v(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*l + 164, 4*l - 36 = -2*k + 212. Let u = 61 + -55. What is the highest common divisor of u and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 580*m - 531. Let a(g) = -193*g + 175. Suppose -14*y - 70 - 84 = 0. Let u(j) = y*a(j) - 4*r(j). Find the first derivative of u(s) wrt s.\nAnswer: -197","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*f - 8, 0 = -0*f + f + 3*c + 8. Suppose 4*k + 408 = 5*l + f, 4*l + 313 = -3*k. Round k to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3319992213031 plus 0.052?\nAnswer: -3319992213030.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25249 - 337215.\nAnswer: -362464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -272377.8683 plus 1?\nAnswer: -272376.8683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559 is divided by 115.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 1024*r**2 + 1026*r**2 - 2*r.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4761 - 1150581.\nAnswer: -1150581.4761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**3 - 69*b**2 + 30 - 2*b**3 + 67*b**2 + 7*b - 5*b - 4*b to q*b + y*b**3 + a + z*b**2 and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51*m**3*s**3 + 2*m**2*s**2 + m**2*s + 18*m*s**3 wrt m.\nAnswer: 306*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 514363867 to the power of 1\/2, to the nearest integer?\nAnswer: 22680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 7 + 21. Let l(d) = d**2 - 9*d - 10. Does 13 divide l(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19556.938204 - -19627.615. Let i = r - 71.65679479. Let m = -0.98 - i. Round m to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -138, 1, 2, 0, -5, 70 in increasing order.\nAnswer: -138, -5, 0, 1, 2, 16, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/7 - 1464*x\/7 - 270810\/7.\nAnswer: 2*(x - 885)*(x + 153)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -23. Let o be ((-2 - -5) + f)*(-1 + 0). Solve 2*r - k + 1 = -5, -o*r - k = 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7b (base 15) in base 10?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 22 + 58 = 0. Let g be -2 - 16\/i*-4. Which is bigger: -8 or g?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 not equal to 740\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 0.05, -108\/23, -0.5, 5.9?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.4 (b) -1 (c) -0.5 (d) -2\/97\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 2*g = -8, 3*i - 12*g + 131 = 101 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + (0 - (0 + -6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4471082?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -401*l - 391 = -378*l. Let p(j) = j**2 + 17*j + 7. Calculate p(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1359 and 15403.\nAnswer: 20932677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -14 - 46. Suppose 2*t + 8 = 4*h + 4*t, -h + g = 5*t. Which is bigger: 2 or h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {o: 1, e: 4, y: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 - -3.9. Let f = -2 + 1.7. Sort f, u, 5 in decreasing order.\nAnswer: 5, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v - 2. Let c be 6\/(-8)*(-3 + -1). Let b(i) = 0*i + 2 - i - c - i. Let l(x) = 4*x - 14. Let w be l(5). Determine w*a(z) - 11*b(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28235 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.28? (a) 0.42 (b) -9 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -29. Let y = 2 - r. Suppose 2*n - 672 = -2*n + y*q, 5*q - 315 = -2*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11488 plus -11267?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 8 - -2) + 0. Suppose 0 = n + 4*n - v. Solve f - n = 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 10 + 0 = 0. Suppose -118 = -4*a + 30. Suppose 4*p - m = 7*p - a, 0 = -5*p + 4*m + 56. Solve -q - x*q = p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w. Let k = 46 - 44. Is 30 a factor of -4 - w - (k + -105)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, f: 4, h: 5, l: 1}. Give prob of picking 1 f and 2 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280)*-2)\/sqrt(5)*-1)\/(-4*-2*sqrt(512)).\nAnswer: sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**4\/2 + 105*m**3\/2 - 685*m**2\/2 - 2085*m\/2 + 1332 = 0?\nAnswer: -111, -3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -647.5 or -5442?\nAnswer: -5442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 2)\/(((-20)\/25)\/(9\/((-99)\/(-110))))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2039225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**5 + 2190*z**4 - 6650*z**3 - 15300*z**2 + 59445*z - 39690 = 0.\nAnswer: -441, -3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.2, -149, 4 in descending order.\nAnswer: 5, 4, -0.2, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -352964*k**2 - 385626*k**2 + 738591*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h\/h**7)\/h)*h*h*h*h**6*h)\/((h\/h**(-3\/4))\/h*h*h**(2\/25)*h) assuming h is positive.\nAnswer: h**(1617\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2243431 (base 10) in base 2?\nAnswer: -1000100011101101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 - 1. Suppose 35*v**3 + w*v - 3 + 23 + 8*v**2 + 67*v**2 + 5*v**4 = 0. What is v?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 42*u**2 + 121*u + 66. Give v(39).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.233225 * -0.1\nAnswer: 0.0233225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3029814?\nAnswer: 2, 3, 168323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*s - 14*s + 13348 - 13103 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 + -44. Suppose -5*v + 15 = -2*v. Let t(b) = -b**3 + 4*b**2 + 8*b - 4. Calculate the remainder when r is divided by t(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*v + 2110 = -3*v, 1569 = 3*b + 3*v. Is b a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - (-1 - 1) - (121 + -123). Put s, -2, -59 in increasing order.\nAnswer: -59, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, l: 4, s: 1, p: 1}. What is prob of sequence jl?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8696, 17404, 26122, 34856, 43612, 52396, 61214?\nAnswer: 70072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -30 times -99\nAnswer: 2970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014622 rounded to 5 dps?\nAnswer: 0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*-3)\/(13\/(-13)). Let j = m - -2. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (2 - (8 + -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-g**2 - 5*g**2 - 3*g**2)*(-158 - 209 + 181).\nAnswer: -1674*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejn when three letters picked without replacement from {n: 1, z: 1, j: 2, a: 3, e: 5}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 - 301516*v**2 - 6937080*v + 7238592.\nAnswer: 4*(v - 75402)*(v - 1)*(v + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 9:10 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1912*p**2 - 1139*p?\nAnswer: 3824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 173 - 687\/4. What is the third biggest value in m, 0.4, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6, 2, -14, -48, -106, -194?\n\"Answer: -r**3 + 3*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*m - 7 = 0, -2*h - 23 = 5*m - 10. Is h not equal to 1\/236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdd when three letters picked without replacement from tahaddtadxw?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/3*(-36126)\/8028?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (28*3)\/(-3)*(-45)\/540*(0 - 21)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 68706214 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1486, -1487, -1480, -1459, -1418, -1351?\nAnswer: -1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 36738028?\nAnswer: 110214084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-39) - ((-480)\/78 + 4). Let q(g) = 70*g - 10. What are the prime factors of q(m)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 93?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*l**3 - 4)*(-2*l - l**2 + 2*l) - 6*l + 6*l - 33*l**5 + 1 - 1 + 2*l**5.\nAnswer: -33*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/4 in 0.1, 3\/20, 1.5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6583954 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 6*r + 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-4*((-2*sqrt(144) + sqrt(144) - sqrt(144))*-5 + sqrt(144)))\/((sqrt(96) + -3*(-1*sqrt(96) + sqrt(96)))\/sqrt(12)))**2.\nAnswer: 528*sqrt(2) + 34852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -81424 divided by -2\nAnswer: 40712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(91\/130)*7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 31\/5 of a milligram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**5\/60 - 41*a**2. Let k(b) = b**2 - 7*b - 13. Let x be k(10). Let w(j) = 3*j**2 - 17*j + x*j. Calculate f(w(p)).\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/7)\/(64\/112). Which is the nearest to -0.05? (a) s (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 15 - 2 = 3*u, -4*u - 4*i = -24. Is 64 a factor of -13 + 392 + 5*u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5117 + 30829\/6. Let o = 18547 - 945862\/51. Calculate the common denominator of z and o.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 366*t**5 - 362*t**5 - 129*t**4 + 16*t - 12*t**3 + 16*t**2 + 121*t**4.\nAnswer: 4*t*(t - 2)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 399952 and 114272.\nAnswer: 799904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40065221?\nAnswer: 7, 139, 41177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**3 + 32*r**2 - 52*r + 24 = 0. What is r?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + h + (-2*h + 2*h + h)*(1 + 1 + 1).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - -39. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**6*t**(-7)*t*t**(1\/18)*t**(-3)*t assuming t is positive.\nAnswer: t**(-35\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/2 and -107\/515306?\nAnswer: 515306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 3:27 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - a + 56 = a, 3*a = -6. Suppose 2*m + 2*m - r = 0. Let g = 11 + 7. Solve m*z + g = -7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22641.039 months in centuries?\nAnswer: 18.8675325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 z when three letters picked without replacement from zwzwizwzixizwzzzzz.\nAnswer: 45\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(39*(-16)\/(-32))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.62015 and -3?\nAnswer: -43.86045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/(28\/(-210)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 4:23 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 284980752 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 1152?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i - 30. Let n = i - -3. Let x be 3\/(3*3\/n). Let q(z) = 2*z + 4. Calculate q(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*u - 3 = 0, 3*q + 179*u - 180*u + 28 = 0. Which is the fourth biggest value? (a) 1\/4 (b) 1 (c) -5 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4968 + 8609. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 14. Let m = z - -60. What is the highest common divisor of 17 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 13*w**3 - 9*w**2 - 7*w - 41. Let m(o) = -6*o**3 + 4*o**2 + 3*o + 21. What is 7*m(z) + 3*n(z)?\nAnswer: -3*z**3 + z**2 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -3601, -0.3?\nAnswer: -3601","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -w - 4*g, -3*g + 9 = -w + 3. Let y(l) = 2*l**2 + w - 16 + 10. Let d(q) = -q + 6*q**2 + q. What is y(d(a))?\nAnswer: 72*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15121 is divided by 316?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 14 = 5*l. Solve -2*z = -0*z + l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 782114292 to the nearest integer?\nAnswer: 27966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 347165152*a*l**3 + 36*a*l - a + 20192*l - 6 wrt l?\nAnswer: 2082990912*a*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (7 - 12 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 431 + -316. Suppose 104*b - q*b = -11836. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6899000 to the nearest 100000.\nAnswer: 6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7837 and 4610.\nAnswer: 78370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 8*m - 168 = 0. Let y = m + -37. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 1:36 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-18)\/(t*t**(-1\/32)))\/(t*t**5)**4 assuming t is positive.\nAnswer: t**(-1375\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 12*h + 5. Suppose 4 = -t + 3*i + 9, 4*i = 8. Does 5 divide b(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04271781 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244 + 107*i - 53*i - 51*i.\nAnswer: 3*i + 244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 14189?\nAnswer: 1418.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12550846723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9096.01 - 9096. Sort -12\/11, 0.5, h, 3, 0.2 in decreasing order.\nAnswer: 3, 0.5, 0.2, h, -12\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 5)*(-2*u + 7*u + 45*u)*(-u + 2*u + 6*u) to the form v*u + w*u**2 + c and give w.\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -0.3, 1463 in increasing order.\nAnswer: -0.3, 4, 5, 1463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -950 = 113515*o - 113534*o. Suppose -57\/2*m**3 + o*m**2 + 8 - 34*m + 9\/2*m**4 = 0. What is m?\nAnswer: 2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3\/2 (b) 1 (c) 22 (d) 4 (e) 123\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 3*n + 8. Let r = -51 + 103. Let h be (-2)\/(-3) - r\/(-12). Let g(z) = -2*z**3 - 2. Let x(s) = 4*s**3 - s**2 + s + 5. Determine h*g(f) + n*x(f).\nAnswer: -2*f**3 - 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, -1270, -5.\nAnswer: -1270, -5, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 7:10 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91048359.61500479 - 91048360. Let k = h + 0.385. What is k rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 9:11 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + -1 + 9 + (56 + -11 - 50) + -11?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 1 + (324 - 325).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 9*p - 702. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20310951?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**2 - 2*r - 4. Let l be g(-3). Let f = l - 4. Solve f*z + z = -2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-3)\/3 + 7. Let a be (1 - 1)*(-7)\/21 + -2. Let j be (a - 4)\/(q\/(-4)). Solve j*o = 4*v + 7, -5 = 5*v + 2*o - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 9*u + 68. What is x(14)?\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 107 or 88?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 51434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Factor 3*y**3 - 219*y**2 - 797487*y + 179341551.\nAnswer: 3*(y - 323)**2*(y + 573)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by 181\nAnswer: 50\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from {z: 2, g: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 - 10*j**2 - 9*j + 12. Let t be i(6). Let f = 30 - t. Solve 2*k - 2 + 6 = f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/36)\/(12\/(-45)*75\/30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 - -180. What is the first derivative of -36 - 23 - 13 + x*g**2 wrt g?\nAnswer: 146*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21212022212 (base 3) in base 11?\nAnswer: -a6326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/1001 - 1009\/4004. Which is the third smallest value? (a) 2 (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sshjknrhr. What is prob of picking 1 s, 1 h, and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**3\/3 + 9. Let n(m) = 139*m. What is b(n(r))?\nAnswer: -19321*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -499221*i + 7488323. Calculate a(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4136 (base 8) in base 16?\nAnswer: 85e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9931552457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((7\/(-6))\/((-5)\/(-90)*-6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) -8 (c) 4\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a**2 - 12. Let k(q) = -4*q**2 + 18. Let l be (-5)\/(-1 + -4)*-7. Determine l*v(r) - 5*k(r).\nAnswer: -r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 4. Suppose 0*y + 4 = -y. What is the smallest common multiple of x and (y\/(-6))\/(1\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pce when three letters picked without replacement from eprcp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -87385 + 87384.99955353. What is b rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 135, 197, 259?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1898388348426 less than 75?\nAnswer: 1898388348501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.54 (b) 1\/7 (c) 5\/2 (d) -54\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 6*n + 10. Let j be m(4). Let g(u) = -44*u**2 + 39*u**2 + 32*u**j. Let d(b) = b**2. Give g(d(h)).\nAnswer: 27*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*n + 1 + 51 = -22 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-387)\/(-105) + (-125)\/(-175))\/(2\/10). Solve -k*d + 49 = -17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*x - 23*x**2 + 2*x**2 + 87*x + 36*x wrt x.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176\/(-40) - 6\/(-4) - -3\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8.5 in 0.1, -2\/9, -0.4, 11093?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.8 + -0.8. Let h = g - 7.5. Which is the nearest to -2\/7? (a) 5 (b) 0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -137 + 311?\nAnswer: 1a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 21*s**2 + 9*s - 8. Let r(f) = -19*f**2 - 8*f + 6. Give 7*r(t) + 6*z(t).\nAnswer: -7*t**2 - 2*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420457245?\nAnswer: 3, 5, 13, 463, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -148, -3, 11, 3, 9, 0 in ascending order.\nAnswer: -148, -4, -3, 0, 3, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o = 30*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.91 - -0.09. Let m = 11 - 10.2. Let y = -1.2 - m. Which is the closest to 0.1? (a) y (b) v (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 4*h. Suppose 0 = -0*o + 7*o - 21. Suppose -4*i + 12 = 4*q, -o*q - 8 = -3*i + 1. Solve h = i*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/1)\/(22 - (-1128)\/(-48)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (226814\/5718)\/((-7)\/(-3))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(405) - (-4 + -1*sqrt(405) + sqrt(405))) + 5*(1*sqrt(405))**2 + 5 + 2.\nAnswer: 45*sqrt(5) + 2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -16*u. Let m(j) = -j**2. Let a(x) = -4*m(x) + w(x). Find t such that a(t) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 0*h + 0*h**2 - 6 + 2\/3*h**3. Let a(u) be the second derivative of -u**4\/6 - 2*u. Determine f(a(n)).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*n**3 - 664552810 + 664552810 + 30*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13 - -17) + ((-3)\/(-24) - 4\/32). Let b(t) be the second derivative of 0 + 0*t**3 + 0*t**2 + 3*t + 1\/3*t**p. Let v(o) = 6*o. Give v(b(j)).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -1, 0.5, -16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (16 + -11 + -21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*b + 2197 + 15691, 5*b = 4*y + 17897. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*j**2*y + 180*i*j**2 - 2*i*y + 25*i - 2*y wrt j.\nAnswer: 4*i*j*y + 360*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 - -3)\/(4\/(-1176)). Suppose 21*y - 15*y = h. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -9*i**3 + 5*i + 8. Let q(h) = -8*h**3 + 5*h + 7. Determine -7*q(m) + 6*s(m).\nAnswer: 2*m**3 - 5*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 16. Let c = 0.79 + -1.09. Put c, -1, j in decreasing order.\nAnswer: c, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/42 and -13\/66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37071661.\nAnswer: 11, 3370151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 4:26 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.7004233 - -13.701. What is g rounded to 5 dps?\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w**2 + 2*w + 1. Let c(n) = 0*n**2 - n**2 - 7*n - 1 - 3*n**2 + 3*n**2. Suppose 0 = 5*o + 10, -4*k + 6*o - o = 18. Let v be c(k). Calculate b(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 423\/(-282)*4\/(-45).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 410360, 4, -1\/5.\nAnswer: -1\/5, 4, 410360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 5 - -2) + -4 - 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q + 2. Let g be c(2). Let i(d) = d**3 + 14*d**2 + d + 18. Let u be i(-14). What is the third derivative of a**4 + 2*a**u - g*a**2 + 5*a**2 wrt a?\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 - 6*u - 2. Let d be w(-3). Solve 5*o + d = 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -358.08 + 359. Is w smaller than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 5*l**3 + 120*l**2 + 825*l + 1210 = 0?\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 less than or equal to 401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 13*g**2 - 11*g + 8. Let f(c) = 2*c**3 + 26*c**2 + 23*c - 15. Let u(k) = -7*d(k) - 3*f(k). Let m be u(-13). Let i = 1611\/14 + m. Is i != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3806.5 + -3796.5. Which is greater: 353 or z?\nAnswer: 353","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127517, 127512, 127505, 127496?\nAnswer: 127485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: 183 times 7.7688\nAnswer: 1421.6904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**4\/12 - y**3\/6 - y**2 + y + 3. Give p(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n**2 + 8*n + 10. What is x(-3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and -1.705715.\nAnswer: -0.1364572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 11, -2\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 577289?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1008) + -3) + -1 + 5 - (-3 + -1 + -6*(sqrt(1008) + -1)).\nAnswer: -13 + 132*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -35 and -27.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0033096 rounded to 4 dps?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.564, 2, -1, 1, -1.8 in decreasing order.\nAnswer: 2, 1, 0.564, -1, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**2 - 650*m - 670. Determine i(131).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 35369, -2, 115 in descending order.\nAnswer: 35369, 115, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-24)*(-16 - 845\/(-52)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2820*a + 477*a**3 - 8488*a + 2833*a + 2835*a.\nAnswer: 477*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 3:43 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + 207317340?\nAnswer: 207317324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1679157.\nAnswer: -1679159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -327, 5, -238 in descending order.\nAnswer: 5, 4, 1, -238, -327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (225\/720)\/(15\/200)?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 259 - 263.22. Let z = w + 0.22. Let q be 2*(-1)\/2 - -5. Which is the second biggest value? (a) z (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10429 + -7744. Calculate the highest common divisor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 213, 1, -8 in descending order.\nAnswer: 213, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/1)\/(0 + -1). Suppose 3*n - 3 = -b, -5*w = 4*n - 24. Suppose 0 = -2*r - p - 5, 88*p + 42 = 3*r + 84*p. Solve -m + 4 = -w*s, -r*s = 3*s - m + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -26, -14, 20, 88, 202, 374, 616?\n\"Answer: 2*c**3 - c**2 + c - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -0.192\nAnswer: -0.00576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/8 and -31\/1383743?\nAnswer: 11069944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o**2 + o**2 + 14*o**2)*(-9*o**2 - 5*o**2 + 2 + o**2).\nAnswer: -273*o**4 + 42*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 38*c - 12. Let d(t) = -49*t. Give d(u(q)).\nAnswer: -1862*q + 588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -8*n**2 - 974*n + 341. What is f(-121)?\nAnswer: 1067","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (-3)\/(-3)*5. Suppose 0*n - l*n + 24 = 0. Is 13 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - (-1 - 3))*1. Suppose -u + 3 = -4*q, 2*q + x*u - 5 = 1. Suppose -1 - 2*a**2 + a**2 + 2*a + q = 0. Calculate a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2835*m - 722. What are the prime factors of c(-7)?\nAnswer: 13, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54.121 + 0.121. Let u = y - -87. Let x = u - 72. What is the third smallest value in x, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (55\/35)\/(6 + 990\/(-175)) and ((-26)\/12)\/(40\/30)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9 + -1 + 23 + -10. Solve 2*g + 7 = -5*r, b*g = -5*r + 4*g - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvzvqqvq.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1164 and 183060?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -314.2 + 314.208. Which is the biggest value? (a) 0.02 (b) 0.2 (c) -5 (d) z (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 2, -4 in ascending order.\nAnswer: -4, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 8:51 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z - 8. Let g be t(6). Solve -g*y = -0*y - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -20095492, -4 in decreasing order.\nAnswer: 3, -4, -20095492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29872*b - 59730*b + 2*b**3 + 29858*b + 104*b**3.\nAnswer: 106*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103672?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 1\/4 (c) 2 (d) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1005 and 0.55?\nAnswer: 552.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**2 + 1 + 1874*w - 1874*w.\nAnswer: -8*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -1\/3*r**4 + 3*r + 5\/3*r**3 + 0*r**2 + 7 + 1\/50*r**5. Factor h(b).\nAnswer: 2*b*(b - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 132 + -64. Suppose -3*l = 2*w - 28, 0 = 4*l + 4*w - 9*w - z. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*a - 6, -6 = -i - a + 3. Let m = 5 - i. Suppose -u = -m*u - 19. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 3*v**3 + 4*v. Let u be c(1). What is the greatest common divisor of 45 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768)*-2 - sqrt(384)\/(sqrt(8)*2) - (2 + sqrt(147) + sqrt(147) - -3*sqrt(3)*-1))**2.\nAnswer: 180*sqrt(3) + 6079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18891704*y**4 + 32699909 wrt y.\nAnswer: -75566816*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from aaayyade.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2231.055562 rounded to the nearest integer?\nAnswer: 2231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-3 + 12) - -1 - (6 - 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*d - 4*z = -48, 32 = d - 4*z. Let t be (-6)\/(-10) + 12\/d. Factor -1\/5*q**5 - t*q**3 + 0 - 4\/5*q**4 - 1\/5*q - 4\/5*q**2.\nAnswer: -q*(q + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(1\/4)))**(-1\/10) assuming m is positive.\nAnswer: m**(1\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 340413 to the nearest 1000.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29473207544 + -29473207358.00000131. Let y = 718 + -532. Let v = y - j. What is v rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.88, 0.5, -2.\nAnswer: -2, -1.88, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7803439?\nAnswer: 7, 223, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -250 + -49. Let j = 299.0346 + o. What is j rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11058*o**2 + 925*o**2 + 6772*o**2 - 2 to h*o + g + m*o**2 and give m.\nAnswer: 18755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 (base 14) in base 3?\nAnswer: 21222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/18 and -149\/576?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -11*i**2 + 175*i - 466. Determine w(14).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, 8, 31\/7, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*11\/(99\/(-18))*2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**6\/10 + 27*g**5\/20 + g**3\/3 + 698*g**2 + 503*g. Find the first derivative of u(d) wrt d.\nAnswer: 12*d**3 + 81*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79 - -81. Let i(v) = 2971*v + 9. Is i(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -766568514586 + 0.2\nAnswer: -766568514585.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10103 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3829020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 - 0.08. Let d be 3 - (26\/22 - -2). Which is the closest to -2? (a) x (b) 0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 254\/3 - (-4)\/(-6). Let j = 43 + -38. Let u(y) = 3*y**2 - 4*y + 1. Let z be u(j). What is the highest common factor of t and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 156 = 4*r. Suppose -r*b + 55*b = 15. Let w(f) be the second derivative of -f**3\/6 - f**2\/2 - 4*f. Calculate w(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 282651289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -23*v**2. Let t(p) = 64207*p. Give t(h(q)).\nAnswer: -1476761*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-329)\/(-470) - 6\/10.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -6. Let g = 8 + -8. Let b = g - x. Solve -7*s - 8 = -b*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -295, -0.3, -3262.\nAnswer: -3262, -295, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 5*r**2 + 8*r + 1. What is i(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 93228 to the power of 1\/2, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 895\/12? (a) 1 (b) -3584 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13254430 (base 6) to base 15\nAnswer: 8b3ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 324*v**2*w**2 - 910*v**2*w - 912*v**2 - 38*v*w**3 + 6*w**5 wrt w?\nAnswer: 648*v**2 - 228*v*w + 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 21. Let z be a(20). Suppose 2*o = 3 + 5. Suppose -6*g + d + 16 = -3*g, 0 = o*g + 4*d. Put 2, g, z in decreasing order.\nAnswer: g, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-330)\/624 + (-7)\/(-56)*3\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -149*l - 3. Let o(q) = -151*q - 4. Calculate -4*j(r) + 3*o(r).\nAnswer: 143*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 67.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 460.4889 to the nearest ten.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/(-4) - -1)\/((-62)\/(-124)). What is the nearest to -1 in 24\/7, f, 5, -21?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 23 = -3*l, -3*l - 4*r = -2*l + 21 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 859456 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5964.2 - 5963. Is -10 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20423 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**5 + 16*c**4 - 122*c**3 - 304*c**2 + 120*c + 288 = 0. Calculate c.\nAnswer: -12, -2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 888.713ml?\nAnswer: 0.888713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 338*p**2\/5 + 90588*p\/5 + 1072\/5.\nAnswer: 2*(p + 268)*(169*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -885194, -1770413, -2655618, -3540803, -4425962?\nAnswer: -5311089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -973, -977, -981?\n\"Answer: -4*q - 969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3437 less than or equal to -23\/7251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence be when two letters picked without replacement from {e: 11, r: 1, b: 2}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 6*q**3 - 2*q**2 - 4*q - 20 + 20 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.850421 to two dps.\nAnswer: -0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, y: 1, z: 1, x: 1}. Give prob of sequence px.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 15\/4 of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 11*o**2 + 2*o + 27. What is z(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7*w**2 + 2*w - 2. Let l(o) = 29*o**2 - 9*o + 9. Let v(t) = 4*l(t) + 18*x(t). Let g(b) = -7*b + 7*b - b. Calculate v(g(k)).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 21 = 9. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**3 - l**3 - 4*l**3)*(3 + 1 - 2 + 2 + 4 - 4 + 1 - 1 - 1 + (1 + 3 - 2)*(-3 + 1 + 0) + 3 - 2 - 2 + 2 - 5 + 1).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 - 4*p + 4. Let x(y) = 2*y**2 - 5*y + 5. Let g = -204 + 200. Determine g*x(k) + 5*b(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 11835*r**2 + 477030*r - 465200.\nAnswer: 5*(r - 2326)*(r - 40)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2193 - 15*w**3 - 5*w**3 + 2194.\nAnswer: -20*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ofe when three letters picked without replacement from eeofn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-6)*-77*14\/(-4620)*-30\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 8*t**2. Let f = -11 - -19. Let j be l(f). Suppose j = 2*q + q - 12. Solve o = -q*o + 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172750 divided by -15.\nAnswer: 34550\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 1. Let h(g) = 2 - 4 + 4*g - 2 - 2*g**2 + g**2. Give 7*c(w) - 2*h(w).\nAnswer: 2*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12e9 - 9da?\nAnswer: -1cd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -419 - -6274\/15. Let o = -2\/5 - n. Which is smaller: -2 or o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4255686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - 1)\/(-1 - 1). Let y be (-15)\/(-325) - c\/10. Suppose 22 - 27 = 5*o. What is the nearest to 1 in y, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6093, 12164, 18223, 24270, 30305?\nAnswer: 36328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.156 + 0.044. Let z = -34.2 + h. Let g = -21.5 - z. Round g to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m - 16. Let x(j) = j**2 - 9*j + 11. Let i be x(m). Is i\/(-3)*(-2 - 57) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/425 and -27\/275.\nAnswer: 4675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 1 - w - 5*w)*(-3898*w + 615*w + 1671*w).\nAnswer: 3224*w**2 - 1612*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -111, -376, -641, -906?\n\"Answer: -265*v + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (28002\/18309)\/(4\/34)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12408 is divided by 97.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0242 - 0.1242. Which is the nearest to 2\/13? (a) k (b) 3 (c) -1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 222 and 6?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -4\/7, 23, -0.1, 1.5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11238 = -8*x + 7*x - 2*x. Solve 4*h = -x + 3722 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + -1)*-4)**2 + 1*sqrt(252)*6 + ((2*sqrt(252) - sqrt(252))*-2 - (sqrt(252)*2*-6 - sqrt(252) - sqrt(252))**2).\nAnswer: -45344 - 168*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 44957356, 44957355, 44957354, 44957353, 44957352?\n\"Answer: -p + 44957357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1465133964963 and -9.\nAnswer: -1465133964972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 - 11*i - 10. Let r be l(-4). Suppose 4*t - 91 = g, 5 = r*g + 3*g. Calculate the remainder when 67 is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*u**2 + 0*u**2 + 1)*(-6*u**2 + 2*u**2 + 3*u**2)*(-5 + 4 - 6).\nAnswer: 14*u**4 - 7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -157 - -153. Let x(r) = r**2 + 4*r + 5. Give x(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 98*z - 105*z + 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 + -49. What is the remainder when (-35)\/j*-18 - (-6)\/2 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (917\/(-21)*-6)\/(7 - (1 - -4)) is divided by 25.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -32321, -32324, -32341, -32378, -32441, -32536, -32669?\n\"Answer: -g**3 - g**2 + 7*g - 32326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2263383697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -163 - -19. Find the common denominator of (-10)\/30*p\/14 and 81\/44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (1 - -5) + -7 + -15 + 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000100101 - 10?\nAnswer: -110000100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 4)*(5 + 4 - 4)*(0*l**3 - l**3 + 2*l**3).\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 - 81. Suppose 4*l + l - 87 = 4*h, -2*h = -3*l + 51. Solve -2*q + 12 = r*k - 8, 0 = 3*k + 5*q - l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 plus 341.1?\nAnswer: 340.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7533 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uuuuuuullu?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8187.543 months to centuries.\nAnswer: 6.8229525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -151162 * -2\nAnswer: 302324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -2\/3 (c) -219 (d) 1\/5 (e) -4 (f) -760\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/2))\/y**(-1)*(y**(1\/4))**(-42)*y*y*y*y\/y**(-3)*y\/(y\/(y*(y*y\/y**(-5)*y)\/y*y*y))*(y*y*y\/((y*y**0)\/y*y)*y*y*y)**16 assuming y is positive.\nAnswer: y**89","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.12 (b) -0.02 (c) 5.56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.03 (b) -152 (c) -0.3 (d) -4\/5 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 4. Let q be c(-4). Suppose -h - h = q. Solve h = 3*i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2055671, 2055131, 2054591, 2054051?\nAnswer: 2053511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/135 and 22\/1798119?\nAnswer: 8990595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 96 - 24 - 72. Let a(o) = 808*o. Give a(h(z)).\nAnswer: -808*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1174 + 1174 - 2972*p**2.\nAnswer: -2972*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 + 0*s**2 - 3*s**2)*(-s + s - s + (4*s - s - 2*s)*(3 + 2 - 2)) + (-3 + 3 - s)*(0*s**2 - 3*s**2 + s**2) + 4 - 4 + 4*s**3.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37090?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 68d + 2890?\nAnswer: 313d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 5367590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14295.\nAnswer: 3, 5, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*p = -3*p - 1002, u + 3*p - 978 = 0. What is the second derivative of -21*z - 987*z**3 + u*z**3 + 17*z**4 wrt z?\nAnswer: 204*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 8) + 31 + -11 + -12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -3)\/(-1) - -109354342. Let n = y - 76954334. Suppose q = g + 4538048 + 11661955, -2*g + 3*q = n. Round g to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*p + 15*p + 95 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 506556694 a multiple of 2846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -32*v + 8 - 7 + 3 - 1. Is x(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1042 + -518. Round i to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*d = -41, 3*f = f + 2*d + 102. Let b = f - 39. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-273)\/(-8) - -1) + 17 + (-2055)\/120. Calculate the highest common factor of h and 4375.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 2250877\nAnswer: -10\/2250877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 - 4*f - 2. Let z(t) = 3*t**2 + 4*t + 2. Let o(g) = -4*h(g) - 3*z(g). What is the units digit of o(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 + 129. What is the remainder when h is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15632560 (base 8) to base 7\nAnswer: -42516400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l - 43*l + 30324 = 0. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 56, 36839 in increasing order.\nAnswer: -2, 56, 36839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z**2 + 3*z. Let b = -4 - 1. Let r(h) = 11*h**2 - 5*h. Let j be (-1 - 9) + 105\/15. Determine b*v(l) + j*r(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, 5.712, -4\/7, 3\/2, -7, -1\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 73163831\nAnswer: 146327662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmkqqqmkkukqqq. What is prob of sequence kqq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1100 = 10*m - 6*m. Round m to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**5\/140 - r**4\/84 + r**3\/21 - 5*r. Let t(i) = 0. Calculate i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 + 0 + 5*x**3 + 3 + x + 2*x**3 - 2 as k*x**2 + n*x**3 + z + g*x and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0 (c) 19 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 11 - 11)*(-9*b**2 + 12*b**2 + 3*b**2).\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 + 4*q + 4. Is m(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105184?\nAnswer: 2, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 802363160 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(((-2)\/(-5))\/((-9)\/15)). Let m(p) = 9*p**2 - 12*p - 8*p**3 + 4*p + 7*p**z. Is m(7) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/5216306 and 51\/1500265.\nAnswer: 339059890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -144*t - 101. Is s(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 667 - 673. Does 9 divide 47\/((-3)\/o*8\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6540 = -18*s - 0*s - 2*s. Calculate the remainder when s is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*n - 9 = 0, 4*f - 17 = 2*n + 1. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -10*t**2 - 5*t + 4 + 7*t - 5. What is h(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 9 - 1. Suppose b + 51 = c*b. What are the prime factors of b?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 divided by -63?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1257?\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqcqqqqqqqcccqcq. What is prob of sequence ccqq?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*m + 56*m - 13 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 30 (b) 3\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/7*b**2 - 2\/7*b**3 + 6\/7*b.\nAnswer: -2*b*(b - 1)*(b + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**4\/12 - m. Let y(h) = -3*h + 0 + 0. What is y(r(a))?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -6*v**4 + 1112*v**3 + 6450*v**2 + 8388*v + 3056 = 0?\nAnswer: -4, -1, -2\/3, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -10*k - 8. Let g(i) = 10*i + 10. Let f(h) = h - 1. Suppose 0 = -u - 6 + 5. Let s(y) = u*g(y) - f(y). What is -7*m(p) + 6*s(p)?\nAnswer: 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 317 * 0.4\nAnswer: 126.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(2\/7)*1000\/(-1750).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 634.7853l in millilitres?\nAnswer: 634785.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -8, 137 in ascending order.\nAnswer: -51, -8, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 1. Let r(i) = 88*i**2 + 77. What is 3*r(t) + 231*s(t)?\nAnswer: 33*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i - 8*i + 0*i)*(27 - 9 + 34)*(-4 + 4 - i).\nAnswer: 728*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 not equal to 348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 21. Suppose 3*b + 7*f = 2*f - 7, p = 4*b - 3*f. Which is bigger: b or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 11 = -15. Let b be 6\/f*(-4)\/(-3). What is the tens digit of ((-20)\/15 + b\/3)*-23?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -390\/7, 3\/8, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5169.33 times 61?\nAnswer: 315329.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 180fba - -7?\nAnswer: 180fc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549*b - 60 = -539*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3590495 * 0.3\nAnswer: 1077148.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -33 * 988.58\nAnswer: -32623.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/31752 and 13\/3402.\nAnswer: 95256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-40936)\/(-1680)*(-48)\/(-688)\nAnswer: 17\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by -7?\nAnswer: 53\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 425, 435, 537, 731, 1017, 1395, 1865?\nAnswer: 2427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7156?\nAnswer: 2, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08 - -0.08. Is u less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000223901535 rounded to 6 dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fllllllfl. Give prob of picking 2 l.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(360)*-1)\/sqrt(10))\/((2*sqrt(84))\/sqrt(7)) + (-1 + sqrt(36)\/(sqrt(120)\/(sqrt(40)\/sqrt(4))))*-3)**2.\nAnswer: -21*sqrt(3) + 183\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**5 - m**4 - m**3 + m**2. Let j(q) = 8*q**5 + 16*q**4 + 76*q**3 + 68*q**2. Let k(g) = -j(g) - 12*z(g). Let k(b) = 0. Calculate b.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**2 + 3*q**2 - q**2 - 120678*q + 119763*q + 2*q**2 in the form w*q + k*q**2 + i and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((50\/15)\/5)\/((-1)\/(((-4092)\/(-12))\/11))\nAnswer: -62\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.8 - -1.2. Let p = -1.6017 - f. What is p rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 - 0.01. Let m = u + 0.13. Let n = -0.13956 + m. What is n rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.778 * 0.5.\nAnswer: 0.389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2203867 is divided by 209.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 2*w + 90. Let v = -1238 + 1249. Determine k(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29646.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80537494.\nAnswer: 2, 40268747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 16.11. Let r = q - 2.89. Suppose -3*p - 4 = 5*f - 18, -5*p = -f + 14. What is the smallest value in 0, p, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-282384)\/19536 - 18\/33.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56762.45 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5139 - 5134.854. What is f rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 33. What is q(-15)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)\/((g**(13\/2)*g)\/g))\/((((g\/((g*g*g**(-6))\/g*g))\/g)\/g*g)\/g**(-4\/3)) assuming g is positive.\nAnswer: g**(-107\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**2 - 9*o. Suppose 6*g - 7 = 5. Let y(w) = 6*w + w**g + 8*w**2 - 3*w**2 - 20*w. Calculate 8*s(n) - 5*y(n).\nAnswer: 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110202220 (base 3) to base 9.\nAnswer: 13686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20647 * 13.83\nAnswer: 285548.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424 is divided by 113?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 17*c**2 + 5*c + 5. Let w be r(16). Let o = w - -293. Let h = -85 + o. Calculate the remainder when 109 is divided by h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 30*l - 14. Suppose -6*q - 26 = -38. What is the remainder when 65 is divided by a(q)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/10 or -112655?\nAnswer: -112655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 4. Let z = -785\/8 - -98. What is the third smallest value in 1\/4, z, q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 114\/4*(-20)\/(-6). Suppose 2*q + 3*q = -k + 180, 2*q + 5*k = r. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 3, -2, -4.\nAnswer: -4, -2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -15*n**2 + n + 7. Let c(q) = -11*q + 3 - 4 + 1 + 10*q - 4 + 8*q**2. Calculate -4*a(t) - 7*c(t).\nAnswer: 4*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -116899432 + 116899367.4000955. Let a = c - -64.6. What is a rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27)\/(-2)*(-32)\/120*5. Let s(x) = x**2 + 17*x - 10. Let c be s(f). Suppose 136 = -4*a + c*a. What is the remainder when a is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -17*s**2 + 12*s - 4. Let a be b(-8). Let m = a - -3549. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*g**2 - 107*g**4 - 93*g**4 + 183*g**4 wrt g.\nAnswer: -408*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 678 a factor of 323452858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -5. Let y(n) = n**2 + 6*n - 6. Let d be y(m). Let g = 62 + d. Calculate the greatest common divisor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.056169744 rounded to 5 dps?\nAnswer: -0.05617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 7*p + 10. Suppose -3*n = -f - 16, 2*f - 28 = -5*n + 3*f. Suppose 6*o = 3*o - n. Is p greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**3 + 7388730*w**2 + 192104445*w + 1248673400 = 0. What is w?\nAnswer: -1477720, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, c: 3, p: 5}. Give prob of sequence pop.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.109, 16, -4 in decreasing order.\nAnswer: 16, 0.109, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044 minus 676?\nAnswer: -676.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1116 and 436666?\nAnswer: 7859988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.19554 and 2.\nAnswer: -0.39108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1489, 0.6, 3\/7, 0.1, 3, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/sqrt(90) + (sqrt(13) - (sqrt(52) + 5)**2) + (-1*(sqrt(130) - sqrt(130)*-2))\/sqrt(10))*-5.\nAnswer: 385 + 325*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100202 - -2?\nAnswer: -100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-2*(-5)\/(-100)*1.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 262*v + 3. Let x(w) = -786*w - 7. Determine -8*d(r) - 3*x(r).\nAnswer: 262*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 15. Let m be (-6)\/(-8)*f + -1. Let h(z) be the second derivative of z**5\/20 - z**4\/6 + z**3\/3 + z**2\/2 + z. What is h(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -365*((-37808)\/16680 + 16\/6)\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, -1, 4, 2, 9889, -6?\nAnswer: 9889","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/360 and 31\/1617.\nAnswer: 194040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252215 and 9125?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + -0.5. What is the closest to x in 1, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 11*p + 0*p)*(p**4 - p**4 + 2*p**4).\nAnswer: -16*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120 + -78. Calculate the lowest common multiple of l and (-27)\/(3 + -6)*(-220)\/(-330).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -351*g**3 + 104*g. Let s(r) = 10*r**3 - 3*r. What is -3*b(t) - 104*s(t)?\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/144)\/((-29)\/87).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**3*u - 148*q**3 + 151*q**2*u + 2*q**2 wrt q.\nAnswer: 12*u - 888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 139*y**2 - 193*y - 12534. Determine j(141).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - 10*w**2 + 2 + 25*w**2 - w - 17*w**2 + 2*w**3 as i + p*w**3 + y*w**2 + h*w and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6831 is divided by 3413.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1018628 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7196 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 12*g**2 - g - 14. Determine x(-4).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1 = 5*v - 110, -3*r - 27 = -v. Solve -v = -4*m + 3*m + 4*l, 2*m + 4*l + 18 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7675 - 7493. Which is the second biggest value? (a) 0.02 (b) n (c) -5 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y**3 + 90261*y**2 + 128933*y + 38679 = 0. What is y?\nAnswer: -12893, -1, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7615804?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 178744\/203175 + 2\/8127. Let g = -2077\/2275 + x. Let w = g - -191\/273. What is the nearest to -1\/5 in -5, w, 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -522 + 4?\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -1\/40*q**5 + 0*q + 0*q**3 - 13*q**2 + 0 + 3\/160*q**6 - 1\/32*q**4. Suppose o(r) = 0. What is r?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 2*w**5\/5 - w**4\/4 + 23*w**2 - 37. What is the second derivative of u(z) wrt z?\nAnswer: 24*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (15 - -7 - 10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -7. Suppose 0 = 3*a + 2*k + 70, 0*k - 55 = q*a - 5*k. Let b = a + 57. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 14*y - 2*y + 4*y + 0*y. Let z(a) be the first derivative of -1\/2*a**2 + 12 + 0*a. Give z(p(i)).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -3\/4, -0.3, -7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + 2\/(-1) + -5)\/5. Put 0.003, d, -5 in descending order.\nAnswer: 0.003, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*d - 6 + 6)*(4*d**4 - d**4 - d**4) + 3*d**5 + 0*d + 0*d.\nAnswer: -25*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -1, -0.29, -2\/159?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*f - 161 = -444*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690*i - 1610 = 742*i + 314 for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ef32e (base 16) in base 14?\nAnswer: 3ab290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -164521 times 0.4?\nAnswer: -65808.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 7*o**2 + 2*o + 0*o**3 - 2*o + 6. Let k be g(-7). Suppose -k*i + 60 = -i. Calculate the least common multiple of 18 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - ((-1 - -12) + 16 + (6 - 29)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1491*v = -885*v - 26058 for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g**2 + 3*g + 5. Let r(c) = 1 - 11*c**2 - 8*c - 17 - 3*c**2. Let y(m) = -11*n(m) - 4*r(m). What is y(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3006, 12029, 27068, 48123?\nAnswer: 75194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*x + 2432, 5*x - 732 = 5*i - 6812. Suppose 4*h = 4*u - i, -u + 5*h = -365 + 61. Calculate the highest common factor of 48 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gffg when four letters picked without replacement from {k: 2, q: 8, g: 2, u: 4, f: 3}?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 288 minus 77418845364?\nAnswer: -77418845076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 + 54*b + 92 - 175.\nAnswer: 54*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/25*(-35)\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 89529014?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137919 = 4246*c - 2763*c for c.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - -31. Let l be (-42)\/(-4)*432\/252. Suppose 0 = -2*w - a + m, 0 = -2*a - l + 8. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 4\/7, 7 in ascending order.\nAnswer: -9, 4\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 3 = -4*i. Let y(u) = 6*u**2 + u + 5. Let d(x) = -5*x**2 - x - 4. Let h(g) = 4*d(g) + 3*y(g). Determine h(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 - 732005644*g**2 + 1464011285*g**2 - 732005641*g**2.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*6*(sqrt(704) - sqrt(704)*2)**2.\nAnswer: -21120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*d**3*j**2 + d**3*j*t**2 + 80*d**3*l**2 + 6*d**2*j**2*l**2*t + d*j**2*l**2 - 3*d*j**2*t**2 - 12*d*l*t**2 wrt d.\nAnswer: -84*j**2 + 6*j*t**2 + 480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4.4 times -78\nAnswer: -343.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3, -3*u = -p - 2 - 4. Suppose -3*z + 68 = 4*f, -5*f = 4*z + 3 - 89. Suppose 2*x - f = 3*x + p*q, 15 = -3*q. Is 4 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -178197, -356177, -534157?\n\"Answer: -177980*n - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5772\/130)\/((-3)\/45*-2). Calculate the greatest common factor of v and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 7:22 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooq when three letters picked without replacement from qqqqqqqoooqqqq.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 20*b**2 + 267*b - 29. Give c(29).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (36\/(-8))\/9*0. Suppose 3*o + 3 = -2*m + 6, 3*o = -3*m + 9. Suppose -u - u = -m. Solve k - u*t = -n*k + 6, 0 = -5*k - 5*t - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -783*p**2 + 36 + 3*p - 7*p + 739*p**2 + 3*p**2 - 2*p**2 + 0*p**2 + (2*p - 1 + 1)*(1 - 2*p - 1) as m*p + j + v*p**2 and give j.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-30)*b**(5\/3)*b**9*b**(32\/7))**(-4) assuming b is positive.\nAnswer: b**(1156\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - s + 19 = -8, -4*s = 2*m - 48. Suppose -u + 4*u = 12, 5*v + 5*u - 130 = 0. Let w = v - 16. Calculate the highest common divisor of w and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7*y - 3. Suppose -164 = 11*l - 769. Let c = -56 + l. Determine z(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 381, 60, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -53 - -19ab1a?\nAnswer: 19aab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 9 = 2*y. Solve -y*h + 12 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvkk when four letters picked without replacement from vjpjvvk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 105767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5965 is divided by 186.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 6*w**2 - 4*w + 6. Suppose -5*o + o - 28 = 0. Determine t(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2879 less than or equal to -7\/104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*k**3 - k**2 + 26*k**3 + 52*k - 58*k in the form r*k**2 + q*k**3 + m + l*k and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-31)\/11 - (-6)\/(-33). Let x be 0 + 6\/m + -9. Let o(y) = 7*y - 52*y**2 - 5*y + 57*y**2 + 2. Let r(z) = -14*z**2 - 5*z - 5. Determine x*o(h) - 4*r(h).\nAnswer: h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.039 from -2913976.\nAnswer: -2913975.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(2\/(-2) + 5 + -2). Suppose 6*w + z = 32. What is the highest common factor of w and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -270 - -440. Suppose -4*l + g = -4*o - 2*l, -2*o = 4*l + 70. Let v = 121\/3 + o. Which is the nearest to v? (a) 1\/8 (b) 0 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k - 6. Let d be x(-10). Suppose -4*s = 2*s - d. Suppose 2*z = 4*z - 2. What is the highest common divisor of s and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0941 and 0.12.\nAnswer: -0.011292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 y, and 1 o when three letters picked without replacement from qzmzzzhqqqoyzhh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3682 and 2604226.\nAnswer: 18229582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - m = d + 21, -3*d + m - 14 = 0. Let h = d - -9. Let z(g) = -h*g**2 + g**3 + 3*g - 4 - 2*g**3 + 3 - 3. What is z(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188449384.\nAnswer: 2, 23556173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1139*t - 1148*t + 18. Let d(o) be the third derivative of o**4\/4 - o**3\/3 + 10*o**2. Determine d(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -404 divided by -8\nAnswer: 101\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4563993 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 8*z**2 + 8*z - 17. Determine f(4).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2618 or 276?\nAnswer: 2618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-15))\/(2\/(-10)) - 3. Suppose -4*c = -12, d = -2*z - 8*c + 6*c + 62. Calculate the highest common factor of z and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-40)*2*(-152)\/(-399).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 12:53 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-375686)\/(-12) + (119\/42)\/(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -23*q. Let u(o) = -3*o. What is c(u(b))?\nAnswer: 69*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 21 - (12 - (-8 - -12 - -2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 138*j. Let z(o) be the third derivative of -o**5\/40 + o**3\/3 - 2*o**2 - 56. Let f(i) be the first derivative of z(i). What is f(m(p))?\nAnswer: -414*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.08, -2, -0.4, 278\/7?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 497858 (c) 23.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (27\/90)\/(12\/(-20))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5505961?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3944 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21261659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o + o)*(-81*o + 28 - 28).\nAnswer: -81*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29592 and 150345444?\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from mxlwsmvwv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117821607 and 279?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -68.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - b - 7 = -3*b, 2*k - 4*b = 6. Let m be (10 - k)*(2 + -1). Is ((-166)\/(-4))\/(m\/10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 2*b + 7 = 0, -2*x + 4*b + 4 = 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.9 - -6.8. What is the closest to -0.1 in f, 1\/13, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/11*q**2 - 2\/11*q**4 + 4\/11*q**3 + 0*q + 0 = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 30 = 4*t, -5*l - 2*t = -191 + 19. Suppose -3*v + 2*j = -36, 0 = -5*v - j + 25 + 35. Calculate the remainder when l is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20\/7 + 87\/28. Which is the nearest to -2\/5? (a) -3 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 - 13*k - 17. Let i be h(-4). Solve -15 = -l + 5*g + i, 4*l + 5*g + 28 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26015 divided by -12823.\nAnswer: 26015\/12823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q + 1381. Is t(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1371, -2718, -4013, -5250, -6423, -7526?\nAnswer: -8553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 7, 4, 987, 0, -2, -18 in decreasing order.\nAnswer: 987, 31, 7, 4, 0, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -8. What is the fourth biggest value in -0.3, -0.2, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34387 or -515792\/15?\nAnswer: -515792\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1651\/28 + 59. Let g = 0.06352 + -0.16352. What is the biggest value in t, g, -2\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 4\/9 (b) -0.3 (c) -17\/35327\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 7:56 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81*s**2 - 85*s**2 - 40*s + 2615 + 24*s + 16*s to z + w*s + x*s**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343817.\nAnswer: 343817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/6 - (-118)\/(-12). Let d be (4\/g)\/((-3)\/(-15)). Suppose -2 = 3*v + 1. Sort -1\/7, v, d in decreasing order.\nAnswer: -1\/7, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -3. Let j = w - 5. Let c = 5.99 + 0.01. Are j and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2072 + 1072. Let g = o - -1787. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/7)*j**(4\/9))\/(j**3\/j**5)*j\/j**3*j*j\/(j**(-1\/4)*j)*j*j**0*j*j\/(j*j**5) assuming j is positive.\nAnswer: j**(-221\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-2 - -2 - (14 - 8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 11:17 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-three quarters of a meter?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2*f - 118, -3*y + f + 2*f - 372 = 0. Suppose v + 2*j - 257 = 2*v, -v - j - 254 = 0. Let s = y - v. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33770*x**3 + x**2 - 33778*x**3 - x**2.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, t: 1, z: 1, u: 3, e: 1}. Give prob of picking 1 z and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 5*k**2 - 3*k + 4. Let u be m(-4). Let q = -62\/15 - -6232\/1515. Let p = -208\/303 - q. What is the closest to u in p, 1\/8, -5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70455500 by 7045550.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 335, -2, -5 in descending order.\nAnswer: 335, 2, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121001 + 111?\nAnswer: 121112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/(-24)*(-3)\/(-90).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.4 + 18.39849. What is u rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/40)\/(30\/(-40)). What is the third smallest value in 4, d, 653?\nAnswer: 653","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 - 87*m**2 + 552*m - 1008.\nAnswer: 3*(m - 21)*(m - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-27)*3\/(-5). Let z = -9 + -9. Let l = -22 - z. Which is the third biggest value? (a) l (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 5029460?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(54)\/sqrt(3) - sqrt(18)))\/sqrt(6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -207 - -339. Let m = -156.8 + q. What is m rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 0*g + 3*y = 75, -3*g + 129*y - 489 - 89 = 1087 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-2\/5))**(-2\/71)*i\/i**(3\/4)*i*i**3 assuming i is positive.\nAnswer: i**(5971\/1420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -12. Let r(k) = 3*k**2 - 3*k. Let c(l) = -l**3 + 4*l**2 - 4*l. Determine n*c(b) - 4*r(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence usu when three letters picked without replacement from ssussusushdh.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -124625.947883 + 124626. Round w to four decimal places.\nAnswer: 0.0521","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -808 divided by 31\nAnswer: -808\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 348\/(-783) + (-1764661)\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.35, 6, 3.1, 0?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 122262 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9*b**2 + 6*b + 3. Let t = 12 + -7. Let g(j) = -2*j**2 + 17*j + 180. Let w be g(-6). Let n(r) = 10*r**2 - 7*r - 4. Give t*n(h) + w*k(h).\nAnswer: -4*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onnpopnooiohnnoii. Give prob of picking 2 o.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210 + 1222020?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -826c2b2 + -5?\nAnswer: -826c2b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 697814.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 1\/6*x**3 + 0 + 0*x**4 + 0*x**5 + 0*x**6 + 2*x + 0*x**2 + 1\/42*x**7. Find the second derivative of f(k) wrt k.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31524?\nAnswer: 2, 3, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**27)**47\/((w\/w**(-21))\/w)**(-1\/6) assuming w is positive.\nAnswer: w**(2545\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10050 or 894412\/89?\nAnswer: 894412\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*o**2 + 27*o**2 + 8*o**2)*(-3 + o**2 + 3) + 17*o**4 + 3*o**4 + 6*o**4 to the form f*o**4 + j*o**3 + c*o**2 + s + v*o and give f.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**4\/6 - m**3\/6 - 4*m**2. Let p be z(2). Sort 4, p, -5 in descending order.\nAnswer: p, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/4 + (-12)\/(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25822*w - 900 = 13*z + 25821*w, 4*w = z + 81 for z.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 377536430?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/30 + (-7)\/(-6). Suppose -24*j = -9*j - 30. Factor -5*z - q + 9\/2*z**j + 2*z**3.\nAnswer: (z - 1)*(z + 3)*(4*z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 4*z + 7*z = -6, 4*z = 2*i + 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6185641*l**2 + 9733556.\nAnswer: -12371282*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from zozzzzzzzzzzoozzzozo?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n - 3*n + 3*n + (4 - 3 + 1)*(3*n - 6*n + 2*n) + n + n - 3*n - 163*n + 3389 - 3389 to the form o*n + p and give o.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 71*j**2 + 6*j + 10. Is b(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 902 (base 16) in base 3?\nAnswer: 10011102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1848 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -2 (c) 2 (d) -3\/8 (e) -818 (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u + 10. Let s be b(3). Let l be 8 + 6*(-3)\/6. Suppose 3*o - 5*k - 22 = -3*k, 2*o - l*k - s = 0. Calculate the remainder when 20 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1554813.549718 + -1554812. Let l = a - 1.55. What is l rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*c**4 - 29980*c**3 + 1064016*c**2 - 7656176*c + 15604160 = 0. Calculate c.\nAnswer: 22\/5, 31, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 36*j - 4. Let c be a(1). Let z = c + -29. Suppose b - 5*g = 23 + 7, -15 = b + 4*g. Solve 0 = b*x + 2*h + 7, z + 1 = -4*h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - d. Let n(t) be the third derivative of t**5\/30 - t**4\/24 + 8*t**2. Determine -7*h(i) + 6*n(i).\nAnswer: -2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 614735, 614738, 614741, 614744, 614747?\n\"Answer: 3*d + 614732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 g, and 2 z when four letters picked without replacement from {m: 1, z: 3, j: 2, g: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 414.92 + -415. Which is the second biggest value? (a) w (b) 4 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -42 - 2. Let l = 41 + j. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 946289 rounded to the nearest one thousand?\nAnswer: 946000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*g - 12*g + 5*g - 9 with respect to g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 2*z + 38, -h + 879 = 20*z + 867 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 607942 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135372 divided by 135372.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3768*l = -31552 + 6526 - 65406 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((15\/(-4))\/(-5)). Let p(n) = -3*n**3 - 8*n**2 - 10*n - 6. Let t be p(w). Suppose c - 70 = -4*c. Calculate the highest common factor of c and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98))**2*-5 + ((-3 + sqrt(2))*-5)**2 - (-3*sqrt(2)*3 - sqrt(24)\/(sqrt(24)\/sqrt(2)))**2.\nAnswer: -415 - 150*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, e: 2, d: 1, f: 1, y: 5, q: 1}. Give prob of picking 3 y.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - -36 - (-3 + 7 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x + 5. Let n be s(5). Let j be 4\/n*(-90)\/27. Which is the second biggest value? (a) j (b) -2\/9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12 - -11)*2\/(-11). Suppose -2*x + 4*x + 2 = -4*t, 5*t = 3*x - 8. Is q at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -2*x - 31, 4*v - 125 + 89 = 3*x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3 + 0 = 4*v, 0 = f + 4*v - 17. Suppose -4*d = f*c - 140 + 7, 0 = -2*c - 2*d + 54. Calculate the remainder when c is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 724\/14)*(-14)\/(-1). Let l = -2691\/4 + v. Suppose 3*p + p = 5*b - 115, -3*b = -2*p - 69. Which is smaller: l or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*m + 22 - 118 = 0, 5*m = -5*n - 105. What is the tens digit of n\/(-12)*(-904)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1318680, 2637362, 3956044, 5274726, 6593408, 7912090?\n\"Answer: 1318682*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 910 divide 51701543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2860, -1732, -608, 512?\n\"Answer: -2*c**2 + 1134*c - 3992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2655086 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -7868267?\nAnswer: 3147306.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/24 and 55\/84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9761, -38604, -86527, -153530, -239613, -344776, -469019?\nAnswer: -612342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.055115l to millilitres.\nAnswer: 55.115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130bc0 (base 13) to base 10.\nAnswer: 458991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 12*u**2 - 2*u - 2. Let d be q(-1). Suppose b = -2*b + d. Is (b - 1)*(-2590)\/(-30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43118 - 75878 = 936*z for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (88\/6 + 4)\/((-1)\/(-3)). Let h be (-2)\/8*-2*28. What is the greatest common factor of y and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-3 + -2 - -10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54\/247 + 9479\/2964. Let d be 2\/(-3) - (30\/9 - 3). What is the common denominator of u and d\/3 - 305\/(-132)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -20*c**2. Let v(p) = 2*p**2. Give d(v(m)).\nAnswer: -80*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 398803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6343.7 - -6344. Sort -1\/4, a, 25, 0.1, -0.23 in ascending order.\nAnswer: -1\/4, -0.23, 0.1, a, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -20*l + 17*l. Suppose 2*n = -3*n + 4*k + 4, -l*n - 5*k = 5. Suppose -5*a - 1 = 49. Put n, a, 1 in descending order.\nAnswer: 1, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11165326 (base 7) to base 5.\nAnswer: 222134122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -521 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116248.\nAnswer: 2, 11, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -983.556 + 1151.31. Let r = o + 0.246. Let m = r + -157.7. What is m rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 244\/(-10) - 12\/(-30). Let d(t) = -7*t. Let a be d(6). Let r = b - a. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrsryxrxxrrxxxxxr. What is prob of picking 1 s and 3 r?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*g - 10*g + 2*g)*(-21*g - 7*g + 12*g) + g**2 + g**2 + g**2 - 2*g**2 + g**2 + 0*g**2 to the form b*g + f*g**2 + d and give f.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*o + 1 - 4*o - 10*o to c*o + s and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172074427?\nAnswer: 7, 757, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*x - 0*i + 6, 14 = 5*x + i. Let a(j) = 7*j - 5 + 2*j**2 + 5 - 1 + x*j. What are the prime factors of a(-7)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.871 + 16393.\nAnswer: 16391.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*z + 22, -z + 0*z = -4*k + 60. Let q be 76\/28 - (-4)\/k. Suppose -2*o = q*o. Solve -b + 1 + o = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1552600 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 3*v**2 - 5*v - 9. Let q(h) = 103*h + 118*h + 99*h - 317*h. Calculate l(q(d)).\nAnswer: 18*d - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 2071*m**2 - 617309*m - 1701. Determine r(1710).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.149 and -16495687542?\nAnswer: 16495687542.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 305110.56662?\nAnswer: 305108.56662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5758103 is divided by 88.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -3 (b) 4 (c) 7\/5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3114134 - 2233?\nAnswer: 3111401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175 - 47*x - 174 + 351.\nAnswer: -47*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 2*v - 21. Let w be i(9). Let c = w + -38. Suppose 3*n - 1 = d, -4 = -4*n - 2*d + c. Is n < 1\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.21 - -1.09. Let i = 1.8 - t. Sort -3, i, 2 in ascending order.\nAnswer: -3, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81b6 (base 15) to base 9\nAnswer: -41520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-21)*45\/(-6). Let o be y\/(-25)*0 + 18. Solve 4*x + 3*a - 6*a - 4 = 0, 0 = -x + 5*a + o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 67*p**2 - 2109*p - 22849. What is j(40)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -22382720 divided by 68240\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/8 + (-7533)\/(-36). What is the greatest common factor of t and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -7 + 10 + -16 + 21?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t - 1. Let q(y) = -3*y**2 - 116*y + 6. What is 6*j(n) + q(n)?\nAnswer: -3*n**2 - 134*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/477840 and -155\/41834892.\nAnswer: 836697840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/7 - 8\/7*z + 2\/7*z**2.\nAnswer: 2*(z - 5)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y. Let i be (0 + -1)*(-3)\/(-1). Let x be f(i). Suppose -g - x*g = -104. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -882*s - 267*s + 272*s - 643*s - 845*s to j + v*s and give v.\nAnswer: -2365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -45. Suppose 5*g + a - 18 = 0, 0*g - 5*a = g + o. Solve -c = -g*c - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*j = -6, s - 25 = 5*j - 33. Factor -115*z**3 + s*z**4 - 108*z**3 - 102*z**3 + 353*z**3.\nAnswer: 2*z**3*(z + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1243 + 13518?\nAnswer: 12275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**3 - 7236*s**2 - 412272*s - 5804736 = 0.\nAnswer: -28, 2468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 22419.6\nAnswer: 44839.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -0.51, -1.2204 in increasing order.\nAnswer: -16, -1.2204, -0.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.78 - -529.72. Let m = -502 + i. What is the nearest to -0.4 in -1\/2, 3, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161397464, 322794926, 484192388?\nAnswer: 645589850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 1. Let p = 0.0342 - 0.4342. What is the third smallest value in 2, i, p, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 + 56 - 4)*(2*z**3 + 5 - 5) + z**3 - 3*z**3 + z**3 + z**2 + 0*z**2 + 0*z**3 - 2*z**3.\nAnswer: 187*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 4:34 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-4) + (-9)\/(-2). Suppose x*d - 3 - 3 = 0. What is m in -2 + 1 + m**d + 0*m**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -363319 + -9?\nAnswer: -363325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3 + (sqrt(125) - (sqrt(125) + 1)) + 3)*4*2)**2*-6*-6.\nAnswer: -9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 367 - 233. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -26*f**2 - 147*f + 244. Let r(j) = 6*j**2 + 37*j - 61. Let o(a) = -9*r(a) - 2*v(a). Determine o(-21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 420 divide 199080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -124\/7 (b) -2\/27 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1481 - 961. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 86*s + 76. Let k(c) = 85*c + 80. Let p(m) = 4*j(m) - 3*k(m). Differentiate p(h) wrt h.\nAnswer: 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 0. Let u = 457 - 454. What is the first derivative of 10*k**2 - c*k**2 + u - k**2 wrt k?\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(68) + -1.\nAnswer: 2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20206*j - 8569*j - 10244*j - 37186*j.\nAnswer: -76205*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 3*i + 20, -356*g + 358*g = -i + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, y: 5, u: 4, h: 1}. What is prob of sequence hx?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 10:47 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 940 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 281825 and 338190?\nAnswer: 1690950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 9:43 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 251521\/192 + -1310. Let l = 395\/2112 - u. Sort 5, 0.2, l in descending order.\nAnswer: 5, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - g**4 + 373*g**2 - 370*g**2 + 0 + 3*g**3 as j + p*g**4 + l*g**3 + k*g + t*g**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 7:56 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -7*x**3 + 2*x**2 - 9*x - 177. Let m(y) = -3*y**3 + y**2 - 4*y - 88. Let i(h) = 5*m(h) - 2*s(h). Let g be i(0). Let z = g + 151. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -228 by 57.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5753 divided by -3?\nAnswer: 5753\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58.5 + 76702602.\nAnswer: 76702660.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1242.4 - 1243.4. Put 1\/8, -3\/26, 0, l in ascending order.\nAnswer: l, -3\/26, 0, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-9))\/((-5)\/(-30795)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**4\/12 - f**3 - 4*f**2. Suppose -3*n + r + 438 = -0*r, 3*n = -3*r + 438. Let t = n - 140. Give s(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 1 - 1)*(5*h**2 - 4*h**2 - 3*h**2) + 17*h**4 - 48*h**4 + 23*h**4 + 4*h**4 - 2*h**4 + 0*h**4.\nAnswer: -10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n**3 - 12*n**2 - 3*n - 2. Let t(y) = 6*y**3 - 13*y**2 - 4*y - 3. Let p(u) = -6*t(u) + 7*v(u). Suppose 3*i = -27 + 6. Is p(i) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + j + 0 = -8, -5*j - 20 = 5*p. Suppose 0 = -2*x - 2*a + 18, 3*x - a = -2*a + 25. Is x > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**7\/252 + 73*g**5\/60 - 10*g**2. Let t(x) be the third derivative of z(x). Let o(f) = f**2. Give o(t(y)).\nAnswer: 400*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-3)*(-3)\/2. Let j be ((-55)\/33)\/(n\/(-12)). Suppose -j*p + 66 = -4*p. Calculate the remainder when 76 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2084527016 and 143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1606 (c) 0.2 (d) 0.4 (e) -2\/87 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 267452, 1069764, 2406940, 4278986, 6685908, 9627712, 13104404?\nAnswer: 17115990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 33*y**2 - 2*y + 211. What is the remainder when g(-33) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (205\/1312)\/(33\/(3960\/(-50)))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + -1)*-2)**2*3 + ((-2 + sqrt(243))**2 - (-2 + sqrt(3)*-2)) + 1 + 4 + 1.\nAnswer: -58*sqrt(3) + 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 13\/6*f**6 + 0*f**2 + 0*f + 0*f**5 + 0*f**4 - 11\/3*f**3 + 10. Find the third derivative of m(o) wrt o.\nAnswer: 780*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - v**2)*(-2*v + 4*v + v) - v - 4*v - 8*v**3 + 5*v to the form r*v**3 + c*v**2 + t + n*v and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 4. Calculate the remainder when x(-11) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2646 - 12?\nAnswer: -2660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - z**2 + z - 149. Calculate p(0).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 9*p - 11. Let x be a(-7). Let s(j) = 4*j - x*j - 2*j - j. Let n(w) be the third derivative of -w**5\/6 + 5*w**2. Give n(s(u)).\nAnswer: -40*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129580?\nAnswer: 2, 5, 11, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -0.3 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7047?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3901980959?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 511469\/27 + -18943. Sort 0.5, -5, -1\/2, p in increasing order.\nAnswer: -5, -1\/2, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, o: 7}. What is prob of sequence owoo?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1068 by 267.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 225, 453, 827, 1341, 1989?\n\"Answer: -j**3 + 79*j**2 - 2*j + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 52.8. Let u = 12 - c. Let f = u - 4. What is the nearest to 0.1 in -2, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1841199 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/7)*p**7)\/(p**(-1\/9)*p**0*p)*((p**(2\/17)\/p)\/p*p**8)\/((p\/(p\/(p\/(p\/((p*p**0)\/p*p)))))\/((p\/(p*p**(2\/3)))\/p)) assuming p is positive.\nAnswer: p**(10700\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 10:36 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, 3, -4, -654.\nAnswer: -654, -4, -2\/21, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.08253 - 0.5?\nAnswer: -5.58253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -29. Solve 4*y + 4*m - 10 = -2, 3*m + 8 = h*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11098 times 0.4?\nAnswer: 4439.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 7*b = -6*b - 1, -p - 4*b + 15 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 2350348?\nAnswer: 4700696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17\/401 + -25049\/4411. Let j = 543\/110 + v. Find the common denominator of (6\/80)\/(6\/(-158)) and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -f - 5*h, -h + 5 = -f + 8. Suppose -2*w + 160 = -2*l, -285 = 3*w - f*w - 3*l. What is the highest common divisor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 10*h**2 - 18*h + 6. Let p be u(7). Suppose -5*i + k + p = 0, 0*k - 3 = -3*i + 5*k. Let g be (-1)\/(1\/((-3)\/i)). Which is greater: g or -3\/20?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 1, 5, 87 in decreasing order.\nAnswer: 87, 20, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -249 * 1051408\nAnswer: -261800592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n - 1. Let z(u) = u. Let k(h) = i(h) - z(h). Suppose -4*l + 37 + 7 = 0. What is the remainder when k(-5) is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127 + -115. Let i = 132 + -36. Calculate the greatest common divisor of i and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2 - b**3 - 28*b**2 + 31*b**2 + b + 0*b. Let m be w(3). Solve -9 = 3*k - 4*g, 4*g - g = m*k + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 5. Let y(f) be the first derivative of -3*f**2 + 36*f + 5432. Give -15*l(o) - 2*y(o).\nAnswer: -3*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {u: 1, d: 11}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - h - 1. Let w(u) = -u**3 + 5*u**2 - 5*u - 5. Let g be (-2)\/4 - (-21)\/2. Suppose -4*y = -5*y - g. Give y*m(l) + 2*w(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/26356 and 107\/52712.\nAnswer: 52712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 0 - 5\/12*o**3 + 48*o + 1\/24*o**4 + 3\/2*o**2. Determine d, given that c(d) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 891 + -894. Let t = -220342\/259611 + 2\/7867. Find the common denominator of t and (48\/18 + q)*(-8)\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 12*z**2 + 14*z + 4. Let a be r(-14). Let m(h) = h - 13. Let u be m(8). Let y = u + a. What are the prime factors of y?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + 65*h = 200 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 0*k**2 + 104*k + 1\/30*k**6 + 0*k**3 + 0 + 3\/5*k**5 + 19\/12*k**4. Find the third derivative of r(j) wrt j.\nAnswer: 24*j + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*(((-317755)\/(-42) - -1) + 2\/(-21))?\nAnswer: 37, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18915961, 18915956, 18915951, 18915946, 18915941?\nAnswer: 18915936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3582 + 3603. Solve -j*n = 4*n + 75 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42051 - 4541521\/108. What is the common denominator of c and -113\/6876?\nAnswer: 20628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7500724ng to milligrams.\nAnswer: 0.0000007500724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5748.05 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1918 by 274.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 962700 divided by -5.\nAnswer: -192540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4217281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1573761 is divided by 4684.\nAnswer: 4621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 + 2328*s**3 + 309636*s**2 - 8464608*s + 52881984.\nAnswer: 4*(s - 12)**2*(s + 303)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -3*z**2\/2 + 88*z - 1400. Let c(u) = 7*u**2. Give c(j(s)).\nAnswer: 63*s**2 - 3696*s + 54208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6517 = 2*z - 5*z + 2*b, -2*b = 2*z + 4348. Let l = -814 - z. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50295 is divided by 370.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**4 + g**3 - g**2 + 3. Let t(p) = 9*p**4 + 5*p**3 - 5*p**2 + 7*p + 69. Let b(a) = 5*c(a) - t(a). Find the first derivative of b(n) wrt n.\nAnswer: -16*n**3 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2919024 at least as big as -2919021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1792 equal to 1463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*k + 39*k - 17 = 3*d, -5*d + 2*k - 21 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 17\/8, 2, -5 in ascending order.\nAnswer: -5, -0.03, 2, 17\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 85578 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 + -3 + (5 - 11) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7523 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: Let a = 137.897 - 138. Let y = -0.102839 - a. What is y rounded to five decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*y - 1. Calculate the common denominator of -3 - (y - (-89)\/(-2)) and (-645)\/80*2\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-4) - (-66)\/24. Suppose u*c + 4 = 16. Suppose 5*i - c*i = 4. Solve -h + i*o = 20, 4*h = -h + 2*o - 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 11*q**2 - q + 14. Let k be c(11). What is the common denominator of -1\/9 and (-81)\/7 + k + 3?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, s: 1, x: 1, m: 2}. What is prob of sequence jxm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1207494.58 rounded to the nearest ten thousand?\nAnswer: 1210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -128356 + -4?\nAnswer: -128361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*i*l**3 + 53*i*l**2 - 12548*i*l + 2636*l**3 - 60163*l wrt i.\nAnswer: 4*l**3 + 53*l**2 - 12548*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -13.\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1557120.\nAnswer: 2, 3, 5, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*t, 4*a - 12 - 10 = -3*t. Suppose 3*b = -p + 3, 3*b = -a*p - 2*b + 26. Let l(o) = 3*o - 9. What is the smallest common multiple of l(6) and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 8:59 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 2071*q + 0 + 1252*q - 2 to the form i + l*q and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 10*m**2 + m + 3. Let w(c) = 20*c**2 + 2*c + 5. Determine -7*q(p) + 4*w(p).\nAnswer: 10*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14758300 rounded to the nearest 100000?\nAnswer: -14800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -8. Suppose -2 + 4 = 2*g - x*z, -z = -g + 3. Suppose 2*s - g*q - 9 = 3, 3*s - 4*q - 18 = 0. Solve -s = 2*i + i + n, i - 4*n = 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvzvvvvzvvvv. Give prob of picking 4 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/w**(-14\/5))\/(w\/(w**(6\/11)\/w)))**(30\/11))**0 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 5:56 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*x + 52. Let k(i) = -i**2 - 11*i - 13. Let v be k(-9). Let r(c) = c**3 - 5*c**2. Let l be r(v). Solve o - 4 = -3*z, -3*o - z + l*z - x = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**2 + 164*w - 113. Give v(40).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 10\/5 + 4 - 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (2 - 6 - 9)) + 2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 18905119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 11*y**5\/10 - y**4\/4 + y**3\/2 - 3*y**2\/2 - 2*y - 476. Let v(q) = 43*q**3 - 7*q**2 + 7*q - 7. Give -7*h(f) + 3*v(f).\nAnswer: -25*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 10, 246, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 - 5*f**3 - 6*f**2 + 4*f + 8.\nAnswer: -(f - 1)*(f + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3115 and 177205?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 77 = -48. Calculate the remainder when 72 is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**4 - 2*b**4 + 0*b**4)*(12*b - 7*b + 13*b) + 6*b**3 - 4*b**5 + 5*b**5 - 37*b**3.\nAnswer: 19*b**5 - 31*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18886212?\nAnswer: 2, 3, 109, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6480\/2268)\/(6\/(-7))?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -506 + -36.5?\nAnswer: -542.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 8 - 3. Let n = 1\/1507 + 5979\/73843. Which is bigger: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/121 in -2\/409, 5, -0.62?\nAnswer: -2\/409","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**6\/60 + 5*r**3\/6 + 7*r**2. What is the derivative of j(t) wrt t?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24286851 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -21 + 17 - -31?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37921 and 125.\nAnswer: 4740125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.94 + 1. Suppose 4*y = m + 4 - 17, 5*m - 8 = y. Let k = -1.4 + -1.6. What is the closest to s in k, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2*s - s + 19, 2*k - 2 = -s. Suppose -k = -4*v + 5. Suppose 4*z - 3*n = 55, 3*z = -0*z + v*n + 40. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 535198776 divided by -23269512\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*-1*(-2)\/(-2). Suppose -3 = -3*r, 7*r + 9 = 2*s + 4*r. What is the highest common divisor of s and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 236 and 317057150.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-283)\/849)\/(3\/43) and 65\/1*1\/(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/7 of a week in hours?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1502403 (base 6) in base 9?\nAnswer: 141113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjdrjrrdrpddppjddp. Give prob of picking 2 p and 2 r.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1136 + 229?\nAnswer: -a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 3*p - 15. Let g be z(-9). Let a = g - 36. Is 1\/(-1*(a + 1228\/(-409))) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5 + 17 + 75*b + 562*b**2 + 46*b - 269*b**2 - 283*b**2. Determine s(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 4:35 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 1 = g. Solve 4*r - g + 4 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2190999 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11616 - 371677\/32. Calculate the common denominator of -53\/24 and y.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 373802 by -1.\nAnswer: -373802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 299\/6, 0.3, -0.1.\nAnswer: -5, -0.1, 0, 0.3, 299\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 103, 1 in decreasing order.\nAnswer: 103, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1509 - -798. Let a be (-1)\/(-1)*(d - 3). Let l = -491 - a. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/399 at most as big as 0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*x + t, 2*t = -5*x - 3*t + 20. Suppose -2*b + 3*b - 3*u = 668, -3*b = x*u - 2043. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -232 - -384. Suppose w + j = 5*w. Calculate the highest common divisor of 190 and w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018 at most 980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 11*s - 19*s. Solve s*g + 3 - 3 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m - 55 + 130 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50170317*h**3 + 2*h**2 - 18277*h - 24 wrt h.\nAnswer: 301021902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*r - 59 - 74 = 75 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61 - -69. What is the second derivative of 3*s + 18*s**5 + 2*s - 8 + b*s**5 + 11*s**5 wrt s?\nAnswer: 740*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45552422911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-1))**13)**(4\/19))**28)**(1\/61) assuming k is positive.\nAnswer: k**(-1456\/1159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 24333144501 and -2?\nAnswer: 24333144503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10*(1 + 21\/(-15)). Let u(l) = l**2 - 3*l + 5. What is the units digit of u(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 338621414 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -121*z**2 - z. Let q(o) = -12539*o + 2. What is q(r(d))?\nAnswer: 1517219*d**2 + 12539*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18.786 or -3249.3?\nAnswer: -18.786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986691.\nAnswer: 3, 328897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1557)\/(-15))\/(54\/450)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**2\/2 - 6*j + 1. Let n(y) = y. Let l(x) = x**3 - x**2 - x. Let v be l(0). Let g be n(v). Calculate k(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000600237447 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.19807\nAnswer: 0.79228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-3\/4)*b*b)*b*b*b**(-4))**(-4\/23) assuming b is positive.\nAnswer: b**(13\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1832647273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 5:32 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -235*n**3 - 38669*n**2*x**3 - 485*n*x - 2120*x**3 + 2*x wrt n?\nAnswer: -1410*n - 77338*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 6, -3*x = x - 3*n - 546. Calculate the remainder when x is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 178 - 50. Suppose 4*m + 8 = o. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -172, -771, -2440, -5719, -11148?\nAnswer: -19267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92 - -105. Suppose 0 = 3*m + 2*f - 22, -2*m - f = -0*m - z. Let -3*k**3 + 3*k**2 + 0 + 0*k + 3\/4*k**m = 0. What is k?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1479*a + 103297. Calculate q(-71).\nAnswer: -1712","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2002?\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 745282105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4238100 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 20 = 5*p, -4*p = -w + 134 - 153 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*p + 115*p - 78*p + 91*p.\nAnswer: 186*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/500 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (38 - 81) - 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 14*g + 4 = 0. Let s be 337\/(-18) - g\/18. Let f = s + 73\/4. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 953128.3 litres to millilitres.\nAnswer: 953128300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/555?\nAnswer: 1\/555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20075 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = j - 9601, 0 = 3*c + 65*j - 66*j - 9599. Is 20 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 419*a + 0 - 473*a - 3. Is c(-1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dwwwdddpdwpppddww.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 - 3 - (-244 + -2)\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 9*p**2 - 13*p - 27. Let r be q(12). Suppose 691 + r = 3*l - 4*a, 8 = 4*a. What are the prime factors of l?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*(7\/(-42)*-5)\/(585\/(-78))\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2031?\nAnswer: 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, w: 2, j: 10}. What is prob of picking 3 r?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -a, -5*t + 122*a = 125*a - 40. Let d(z) = -2*z - 9. Let i be d(-7). Find the second derivative of -2*j**i - 2*j**t + 0*j - 14*j - 28*j wrt j.\nAnswer: -80*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1355189 is divided by 169395?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3 = 2*k + k, -2*k = -3*o - 3. Suppose k = -0*j + 2*j. Let q = 0 - 0. What is the closest to q in -4\/7, j, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-2\/11)*t)*t**(-2\/5))\/(t\/(t**(-3\/7)\/t*t*t)*(t\/t**(1\/2))\/t*t) assuming t is positive.\nAnswer: t**(-883\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + ((sqrt(2) + 1)*4 - sqrt(2)) + (1*sqrt(2)*-5)**2).\nAnswer: -106 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.54 + -0.04. Let y = 2 - o. Suppose -3*p = 1 - 7. Sort y, -1\/5, p.\nAnswer: -1\/5, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 23410, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 21964470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 24, -2, 4 in descending order.\nAnswer: 24, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -2\/27, -0.3, -1, -1\/4?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -5, 1\/826, 0.5 in increasing order.\nAnswer: -5, 1\/826, 0.5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1682 - -1685. Solve 2*k = -b - i, -b - k - 13 = -9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d - 2. Let n = -3 + 1. Let g be z(n). Factor -g*v**3 - 4*v**4 - 4 + 2*v + 2*v**4 + 10*v**2 - 4*v**2.\nAnswer: -2*(v - 1)**2*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*v + 24 = 197*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 2, 93, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-3\/2))\/(d\/d**(1\/3)))**(-11) assuming d is positive.\nAnswer: d**(77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 155593937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, y: 1, l: 1}. Give prob of picking 3 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36559 = -13*l - 36026 for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/((sqrt(36)*4 - sqrt(36))\/sqrt(6)) - ((-1 + sqrt(3) + 2)**2 + -1).\nAnswer: -3 - 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -99255, -199182, -299107, -399030, -498951?\n\"Answer: x**2 - 99930*x + 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 17*m + 12*m - m)*(-8*m**3 + 4*m**4 + 8*m**3 + (2*m - 2*m + 2*m**3)*(-1 + 1 + m) + 3*m**4 - 4*m**4 + 0*m**4).\nAnswer: 140*m**5 - 15*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 15 - 2*a - 12.\nAnswer: -2*a - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 906 and 7223538.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -74*t + 35*t + 37*t. Let o(s) be the third derivative of -s**4\/12 - 5*s**3\/3 - 2*s**2. Let r(d) = 1. Let y(z) = -3*o(z) - 30*r(z). Determine y(p(v)).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**5\/4 + 4701*i**4\/4 + 11715*i**3\/2.\nAnswer: 3*i**3*(i + 5)*(i + 1562)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from rcyyrcyyycc?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.67? (a) -1\/4 (b) -2 (c) 2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.983 and -1092.2.\nAnswer: 3258.0326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-2*(-2*sqrt(1331) + -1) + -1 - (5 + (5 + sqrt(1331) + 0 - sqrt(1331))*2)))**2.\nAnswer: -1232*sqrt(11) + 21492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*m - 20, -4*b + 5 + 1 = 2*m. Suppose s + 3 - 8 = 0. What is the remainder when m is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 12, 13, 154 in decreasing order.\nAnswer: 154, 13, 12, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(45) + 3.\nAnswer: 6 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*w - 15*w. Suppose 689 + 35 = w*x. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4c - -51805?\nAnswer: 51797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdo when three letters picked without replacement from plommqd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219625 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5 + 2441*c**4 - 48472*c**3 + 125412*c**2 + 1161504*c + 1394496 = 0. Calculate c.\nAnswer: -2, 12, 2421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -7. Suppose -5*f = 5*k + 20, 2*f - 4*f - 10 = z*k. Let v = k - -11. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 8:29 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - n + 23. Calculate i(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(20) - (1*sqrt(500) + sqrt(500)).\nAnswer: -14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k**(-1\/4)))\/k)**26*k**(-5)*k*(k*(k*k**0)\/k)\/k*(k*k*k*k**(-2\/5))**(-3\/25)\/(k**(-1)*k**(-7)) assuming k is positive.\nAnswer: k**(2547\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**2 - 13*i + 11. Let n be x(1). Let s(c) = -2*c - 4*c**2 + 5*c + 4 - 4 + 0*c**3 + c**n. Give s(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 567 - 151. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68.9 - 3.1. Let b = x + 94. Which is smaller: b or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t + 3*t + 40. Suppose -3*b = 2 - t. Suppose -27*x**4 + 25*x**4 + 0*x**3 - 2 - 2*x**3 + 0*x**5 + 4*x**b + x + x**5 = 0. Calculate x.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + 15. Let s = x + -2. Let n be (44\/(-10) - -3)\/((-6)\/30). What is the greatest common divisor of n and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/9)\/j*j*j)**(-4)*j**(-2\/13)\/(j*j\/j**0*j*j) assuming j is positive.\nAnswer: j**(-902\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.8 - 3. Let r = -7.98094 - -2.98094. Which is the nearest to j? (a) -4 (b) 0.3 (c) r (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**3 + a. Let w be r(-1). Suppose -2*p - 3*q = -2 - w, 3*p - 6 = 2*q. Differentiate 1 - 3*k + k - p wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1320 = 4*j + 296. Let s = 1338 - j. Suppose f - 354 = -2*b + b, 0 = -3*b + f + s. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-4))\/(2\/(-4)). Let o be (g\/2)\/(2\/4). Let h be 4*(2 + o\/(-4)). Solve h*c = -2*c - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -281 times 1.4\nAnswer: -393.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3\/50 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**2 + 16*f + 14 = 0?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 18 = 2*y, 4*m = y - 5*y - 24. Let a(o) = 6*o. Let w(p) = -2*p + 3*p + 4*p. Give m*a(v) + 3*w(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = -37*x + 10175. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - l + 23. Let u(y) = -y - 9. Let o be u(-9). Let k be q(o). Solve -5*h - 2*t + k = 0, -3*t + 20 = 4*h - t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, 8, 4, -7, 2 in decreasing order.\nAnswer: 8, 4, 2, -1, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**3\/13 + 44*t**2\/13 + 2*t - 2660\/13 = 0.\nAnswer: -7, 10, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g**3 - 5*g**2 - 7*g + 7. What is the remainder when 145 is divided by p(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 191 + 289. Let m be (22\/7)\/(q\/(-4676)). Let p = -153 - m. Is 0 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37238 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6*z + 2*z - 4*z. Let b(s) = -6*s**2. Determine b(r(p)).\nAnswer: -96*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -150\/37, -4, -1\/3, 409, -0.5, 8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven fifteenths of a hour?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-32)*-23*52\/6279?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 1. Let s be k(-1). Let r be -8*2\/(-8)*s. Let o(j) = -4*j - 12*j**2 + j + 11*j**2 + 1 + 5*j. What is o(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111204 divided by -2?\nAnswer: 55602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(462)\/(sqrt(88)\/sqrt(8) - sqrt(11) - sqrt(11)))\/((sqrt(6) - sqrt(294) - sqrt(6))*5).\nAnswer: sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (-1)\/(-4))\/(1\/2). Which is smaller: b or 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1.5, 7.\nAnswer: -4, -1.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h**2 + 5*h**2 + 2*h**2 + 0*h**2 + 1 to r*h + u*h**2 + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -1402*i**2 - 23822*i + 206. Calculate z(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**3 - 4*m**2 - m + 3. Let b be g(-3). Suppose -b = -0*c - 3*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -17*n + 11. Let w be y(-4). Let g = w + -1. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*m + 2. Let d be 26 + 2 + (m - 0). Let x = -8 + d. What is the smallest common multiple of 2 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*1 + 4)**2 + (3*(sqrt(28) - sqrt(7)) - sqrt(7))**2 + (sqrt(35)\/(sqrt(125) - -1*sqrt(125) - sqrt(125)))**2.\nAnswer: 8*sqrt(7) + 1282\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1991\/1 - (-306)\/34?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 50*p. Let n(x) be the third derivative of 2*x**5\/15 + 3*x**2 - 41*x. What is n(b(l))?\nAnswer: 20000*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 2*q - 5*p - 62, 5*q - 101 = -p. Let t be 8\/28 - (-309)\/q. Solve 0 = -2*z - 8, -2*l + 3*l - t = 5*z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1207154*x + 1207317*x + 2282 = 0 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w - 16669 + 17757 = 0 for w.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 1292856.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.178 and -1883.42.\nAnswer: -2218.66876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + 1488209?\nAnswer: 14881ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -234, -238, -242, -246?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooiguumokomkgmoogok. Give prob of sequence um.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(833) - (-3 + sqrt(833) - sqrt(833))))**2 + (sqrt(833) + -1)*3 + 1 + 3*(sqrt(833) - sqrt(833)*-2)**2*4.\nAnswer: 77*sqrt(17) + 90811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -0*x - p + 10, 0 = -3*x - 3*p + 12 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -94 - 2*j**2 + 94. Let q(c) = 2*c - 6. Determine q(b(f)).\nAnswer: -4*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-13 - 10 - -15) + (-39 - (-3 + 2)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -16 (b) 3\/2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 3*b**2 - 3*b + 5. Let t be s(4). What is the first derivative of -c**3 - 4*c**3 + 4 + c**3 - t wrt c?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10 (b) -205 (c) 1\/13 (d) 51 (e) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.1 + -0.1. Let h = 1.26 - 2.26. What is the closest to h in -0.2, 5, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42184?\nAnswer: 2, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1006740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(850)*1 + sqrt(850))\/(sqrt(2) - sqrt(72)*-4) - (6*sqrt(153)*-1)\/(sqrt(441) - sqrt(441)*-1))*3.\nAnswer: 87*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16321\/10 - -1628. What is the common denominator of g and -41\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -29. Suppose 11*k = -0*k + 88. What is the remainder when w is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/4 - 100161*i**2\/4 + 1898727*i.\nAnswer: 3*i*(i - 33311)*(i - 76)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 7 = i - 23, -3*a + 15 = -3*i. What is the highest common divisor of a and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - -1. Suppose 0*f - w*f = -696. Suppose -3*t - 3*z + f = 0, -49 = -4*t + 4*z + 75. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t**2 - 1 + 5*t**2 - 3*t + 6*t - 2*t. Let m(f) = -4*f**2 + 3*f - 3. Let j(c) = -3*d(c) + m(c). Let r(l) = 2*l**2 + 4*l. What is r(j(p))?\nAnswer: 2*p**4 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(21\/(-14)) - 0. Which is greater: j or -0.62?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*i**4 + 35166*i**3 + 155907632.\nAnswer: -56*i**3 + 105498*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - c - 4*c**2 + (-7*c + 0*c - 12*c)*(4*c + 2*c - 5*c).\nAnswer: -23*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, l: 1, g: 9, o: 2}. Give prob of picking 1 g and 1 l.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3\/4 (b) -2 (c) 5 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (589*q**4 - 147*q**4 - 240*q**4)*(64 + 1 - 4).\nAnswer: 12322*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, s: 1, r: 1, y: 2}. Give prob of sequence gy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 8. Let a = 14 - f. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 7:07 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 14*n**2 - 11*n**2 - 4*n**2. Suppose 0 = 5*g - 3*g. Let a(w) = -3*w + g*w + w. Give b(a(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqqqqqqtrq. Give prob of sequence rq.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -67590 greater than -67588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10565428 to the power of 1\/2, to the nearest integer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 26*u**2 - u - 26. Determine w(-26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(10\/2 - 3). Let f be (c - -17)\/(-3) + 5. Sort 2, -16, f, 1.\nAnswer: -16, f, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-3\/5))\/p**(3\/19)*(p\/(p\/(p\/(p\/(p*p**(-1\/3)*p)))))**45 assuming p is positive.\nAnswer: p**(7148\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 0.2431578?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*h**2 - 3*h**2 - 55581907 - 27984*h - 9676781.\nAnswer: -3*(h + 4664)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -13*j + 11. Let l = -21 + 13. Is w(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -1.12\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18499?\nAnswer: 13, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1311 = 21*p - 831. Calculate the greatest common divisor of 153 and p.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209835071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + -1 + sqrt(125)) + -2 + -1*sqrt(125)*-2 + -2)**2*3.\nAnswer: -150*sqrt(5) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 161727834*o**3 + 2173*o**2 + 589*o + 1 wrt o?\nAnswer: 970367004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(((a*a**11*a)\/a)\/a))**(-3) assuming a is positive.\nAnswer: a**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 545347?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -2\/487, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 65548*q - 196777. Determine i(3).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1075678?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*k = 2*q + 62, -43 = -4*k - 5*q. Suppose k = -4*m, 3*m + 74 = 3*x - 475. 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: Let l = 0 - -2. Let s be ((-3)\/1)\/(3\/(-5)) - 3. Let q be (33\/27 + -1)\/(s\/12). Which is bigger: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u. Let p(j) = j. Give -21*p(z) - 5*t(z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 258\/73 in -3, 2, -0.056?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 3. Let a be g(-5). Suppose 0 = -3*r - 2*z + 424 + 10329, -3 = 3*z. Suppose 0 = a*o - 5*o + r. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2\/3 (b) -0.11 (c) -0.2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1605141237 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9391 >= 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 5*m + 8. Let v be 3\/(-2)*m\/(-9). Let l(t) = 2*t**3 - 2*t**2 + 6*t + 3. Let g(u) = 3*u**3 - 2*u**2 + 7*u + 4. Let z(q) = 4*g(q) - 5*l(q). Give z(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 8*b**3\/3 + b**2\/2 + 2*b - 3815. Determine i(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3126410\/84784*((-8)\/10)\/2.\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1931207?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -0.37352.\nAnswer: -0.02648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from izipitq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-80)\/(-32) + (-36631)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -3, -0.2, -216\/1945?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j - 7*j - 26 = 0. Let z(t) = t - 1. Let m(l) = -3*l - 25*l + 25 - 16 + 5. What is j*m(o) - 14*z(o)?\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 6*b**2 - 9*b + 6*b**2 - 9. What are the prime factors of o(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - 29. Solve z - d = 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 1794*n - 1792.\nAnswer: -2*(n - 896)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*y**5 - 2440*y**4 + 12515*y**3 - 3320*y**2 - 11895*y + 6300 = 0. Calculate y.\nAnswer: -35, -1, 3\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4080 divided by -10?\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*l, 25 = v - 5*l + 6. Suppose 2*o + o - v = 0. Let u be (-5)\/(-2) - o\/6. Calculate the highest common factor of 14 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 19?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -21. Suppose 0 = 4*y + 6 - f. Suppose 4*p + y*l + 20 = 0, -l = 4*p - 4*l. Put -1, p, 4 in decreasing order.\nAnswer: 4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s. Let g be k(-2). Suppose 0 = g*u - 40. Suppose -4*i - i = u. What is the second smallest value in -5\/6, i, 3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-140)\/(-16))\/7*-4. Let a(p) = -p**3 - 2*p**2 + 2*p + 5. What are the prime factors of a(d)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 11, a: 3}. Give prob of sequence agga.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 7 (c) -0.4 (d) -3 (e) 3\/2 (f) 25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/88 - 0)*154\/231?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5*m, 7*m - 4*m - 10 = g. Let j be ((-260)\/(-4))\/g - 3. Calculate the highest common divisor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l + 45 = 5*s - 33*l, l = -2*s + 6. What is the nearest to -1 in 1\/3, s, 47, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3039185?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*m**2*y**3 + 1936*m**2*y + 898*m*y**3 + 36*m*y**2 wrt m?\nAnswer: 16*y**3 + 3872*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1520 and 2880?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millennium in years?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*q + 56. Suppose -12*a - 124 = -q*a. What is the remainder when 120 is divided by a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 1\/3, 1, 0.76?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/183, -36, -67\/8?\nAnswer: -67\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 11*v**2 - 1. Let j(p) be the first derivative of 21*p + 0*p**2 + 1\/6*p**4 + 0*p**3 - 27. Let k(t) be the first derivative of j(t). Determine k(h(c)).\nAnswer: 242*c**4 - 44*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 647 - 647.04662. What is g rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 38 - (-3 + (6 - 12)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4254, -8503, -12752?\n\"Answer: -4249*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 5:58 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -120\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*d**2 - 134*d**2 - 133*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z + 122. Let b(w) = w + 123. Determine 3*b(h) - 4*n(h).\nAnswer: -5*h - 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 54 + (9 - 6 - 12 - -3).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2028, 2022, 2020, 2022, 2028, 2038?\n\"Answer: 2*o**2 - 12*o + 2038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 115 = 103. Solve -5 = -y*u + 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4*(sqrt(891) - -2*sqrt(891)) + (-2 + 2*sqrt(891) - sqrt(891)))**2 - (((sqrt(121)\/(sqrt(22)\/sqrt(2)) + sqrt(11))*5)**2 + -3)).\nAnswer: 792*sqrt(11) + 213436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4098 - 4770 = -21*a. Let b be (7 - -3) + 0\/(-2). Suppose -5*s + 5 = -b. Calculate the remainder when a is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**2 + 11580*g + 11174700 = 0?\nAnswer: -1930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**2\/2 + 9225*m\/2 + 23100 = 0.\nAnswer: -5, 3080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 3*y**2 + 4*y + 1. Let m(r) = -3*r**3 + 4*r**3 + 0*r**3 - 7*r**2 + 7*r - 3*r**3 + 3. Let d(v) = 5*f(v) - 3*m(v). Give d(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 202 = -5*r, -10 = -0*r - 5*r. Let g = i - 19. Let x = g + 13. Is x 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 ipumppuumumpmiuumu. Give prob of picking 2 u.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -298*x + x**2 - 13 + 146*x + 151*x + (-x**2 + 0*x + 0*x)*(2 + 0 - 3) - 3*x**2 - 5*x + 5*x as a*x**2 + p + k*x and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8383? (a) -4 (b) -197 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188811 and 342324.\nAnswer: 194097708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*c + 48*c - 76*c.\nAnswer: -120*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -88e53ad - -1?\nAnswer: -88e53ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-4*5\/40*-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21154481 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 - (-618 + 492 + -1 + 15).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -402\/3185815?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -3*y - 65 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -13425, -1, 0.5, 0.3, 3, -5 in descending order.\nAnswer: 3, 0.5, 0.3, -1, -5, -13425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 2. Suppose 5*s + 7 + 3 = 5*b, 5*s - 5 = t. What is the third derivative of -2*d**2 - 3*d**3 + 4*d**b + d**3 wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 279.3735487?\nAnswer: -279.4735487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -75*k**4 - 390780*k**3 - 2107341*k**2 + 3560016*k - 1061820 = 0.\nAnswer: -5205, -34\/5, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**5 + 68*p**4 + 578*p**3.\nAnswer: 2*p**3*(p + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11495908 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22\/4 + (-9)\/(-6). Suppose 0 = -4*c - f + 32, f = 5*c - i - 24. Solve -u = 3*y + c, -u + 0*y = -4*y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 306 - 29. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgdgddggcdd. Give prob of sequence gg.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j - 1. Let o(g) = 53*g. Calculate o(f(n)).\nAnswer: 53*n - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 595*r - 25. Suppose -3*i = -22 + 4. Is a(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 + 6*j. Let n(k) = 6*k. Let x(m) = m**3 - 11*m**2 + 11*m - 8. Let t be x(10). Let a(o) = -32*o. Let w(q) = t*a(q) + 11*n(q). Calculate c(w(y)).\nAnswer: 12*y**2 + 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v. Let y(l) = -2494*l**2 + 4609*l**2 - 2306*l**2. Calculate t(y(m)).\nAnswer: 573*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.87215mg to micrograms.\nAnswer: 28872.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2307 and -1761.\nAnswer: -4068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -850 + 295 + 283 + 277. Suppose -5 + 2 = t. Let j(x) = x - 4. Determine t*j(o) - 2*k(o).\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 31 = 4*c, 2*c - 5*r + 4*r = 3. Let v be 10 + (-2 - 2)\/c. What is the greatest common factor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 1\/180*s**6 + 0*s + 0 + 1\/36*s**4 + 42*s**2 + 1\/45*s**5 + 0*s**3. Let k(z) = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-9) - 920\/90. Let a = 20 - z. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*u + 5*m, -9 - 11 = 5*u + 5*m. Suppose u = -3*f + f. Solve -g = -f*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 - -0.05. Let c = -8\/30805 - -39245658\/338855. Let v = 116 - c. Sort -4, i, -0.4, v in decreasing order.\nAnswer: v, i, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 0. Let s = r - 0. Let l be (-32)\/10*(-3025)\/(-2420). Which is the second smallest value? (a) l (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 10. Suppose -13 = -2*o + k. Let y = -17 + o. Which is the biggest value? (a) -2 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00259934869 rounded to 6 dps?\nAnswer: 0.002599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 50654?\nAnswer: 2482046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f - 99 = -5*x, -3*x + f + 59 = 0. Let o be (5\/(-4))\/5 + (-175)\/x. Which is smaller: o or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b*r**2 + 54*b*r + 19329775*r**2 - 29430*r wrt r.\nAnswer: 2*b + 38659550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161 + -165.06. Let f = b - 0.14. Round f to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 500\/13 (b) -15 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 136 + -136. Factor -2\/11*k**3 + m*k + 0*k**2 + 0 - 4\/11*k**4.\nAnswer: -2*k**3*(2*k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**5\/4 - v**4 + v**3\/2 + 2*v**2 - v\/4 - 1 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/18 or -11?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1230 - 1230 - 1370*o)*(-3 + 0 + 2) + (4 - 2 + 0)*(3*o + 2*o - 3*o) - 5*o + 0*o + 2*o - 3*o + 3*o + 3*o.\nAnswer: 1374*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + -0.2. Let u = -193.4 - -204.49. Let h = u + -11.1. Which is the nearest to l? (a) -5 (b) 3\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 730880 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 3, -22, -0.08, 0, 5 in decreasing order.\nAnswer: 5, 3, 2\/13, 0, -0.08, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 7*d**2 - 8*d + 8. Let b be j(8). Suppose 1020*y - 1015*y - 50 = 0. Solve -y = -b*t + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 - 83. Let u = 115 + z. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*(q**(-37\/3)\/q)\/q*q)**(-8\/7))**(13\/4))**(16\/5) assuming q is positive.\nAnswer: q**(15392\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - x + 3 - 4 - 2*x + 4*x - 3*x + (2*x + x - x)*(1 + 4 + 4).\nAnswer: 16*x + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 10*i**2 + 8*i + 13. Let x be g(-9). Suppose -4*k + 3*k + 5*h = x, k = -4*h - 4. Is ((-6)\/k)\/(2\/88) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 196 + 4 = 3*v, v - m = 60. Let t = 39 + -33. Let y be 40*(-11)\/((-165)\/t). What is the highest common divisor of y and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-19)*z*((z**(-26)\/z*z)\/z)\/z assuming z is positive.\nAnswer: z**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24308974, -24308991, -24309022, -24309073, -24309150?\nAnswer: -24309259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 161 divided by -1001\nAnswer: -23\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 854 * 170.\nAnswer: 145180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -35, -113, -235, -407, -635, -925?\nAnswer: -1283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117114?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24409 and 175029965.\nAnswer: 1225209755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 3*x - 2. Let r be j(5). Let l be -1*((-4802)\/1225 - 4\/50). Suppose 72 = l*a + r*a. Solve 4*i - a = -s, i - 2 = -3*s + 5*i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-5)))**(-27))**(-1\/6)\/((k**(-3\/2)*k*(k*k**6*k)\/k*k*k*k)\/(k\/(((k*k*k*k**(1\/4))\/k)\/k))**(-2\/5)) assuming k is positive.\nAnswer: k**(-319\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -980 - -979.8. Let l = 14 + -13.8. Sort l, x, 49, 1\/4.\nAnswer: x, l, 1\/4, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1287\/1442 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -f + 3*p, 29*f + 15 = 32*f + p. Solve 5*j = -f*g - 20, -g + 2*j = -0*g + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 2) + (-3 - (-7 + 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2263 is divided by 34.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16, -95, -228, -415, -656, -951?\n\"Answer: -27*b**2 + 2*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -12*b**2 + 4*b - 4. Let r(a) = 13*a**2 - 5*a + 5. Let w(c) = 4*r(c) + 5*t(c). Let s(i) = 0 + 0 + 0*i**2 - 2*i**2. What is w(s(g))?\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 523 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 + -67 - (-1 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 826 and 210?\nAnswer: 12390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 15, 3, -4.\nAnswer: -4, 3, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4704664927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2337 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**2 + 21*k - 55. Let p be r(13). Let b = -365 - p. List the prime factors of b.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 312 and 104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18239 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0755 times -18473?\nAnswer: 1394.7115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 23*o + 37. Let h be k(-20). Let w = h + -70. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**2 + 17*v = 0.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o - 1. Let l(k) = k + 18. Let c be l(-19). What is m(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, -0.2, 5\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62774475 by 3.\nAnswer: 20924825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.4, -0.1, 1661\/37, 1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 8225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a year?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 11*c**2 - 2023*c + 20129. Determine h(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 15 = -y - s, 0 = -3*y - s + 11. Is (-2 + 0)\/(y\/(-89)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**8\/1680 - o**4\/6 + o**3 - 7*o**2. Let u(a) be the first derivative of q(a). What is the derivative of u(k) wrt k?\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230556603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 + 4 + 2 - 3 + 3 + 2 - 4 + 4 - 3 - 3 + 5 + (2 + 0 - 1)*(-5 + 0 + 3) + 2 - 2 - 2 + 5 + 1 - 4 - 6 - 1 + 10)*(-p - p + 4*p)*(3 - 2 + 1).\nAnswer: 56*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(490) + sqrt(490) + sqrt(490) + (sqrt(490) - sqrt(490)*3*-2))\/(sqrt(5) - (sqrt(5) - sqrt(180)) - sqrt(60)\/(sqrt(12)*-1)))**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -320*x + 25545. Give w(78).\nAnswer: 585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116010 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795961 is divided by 5679?\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8155539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/7 (b) -11\/43 (c) -0.3 (d) 4.7 (e) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/7)\/h)\/(h\/h**(1\/12)*h)*(h**(-3))**(-1\/41) assuming h is positive.\nAnswer: h**(-9301\/3444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103928 = 6964*a - 2240*a for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 9*y - 64. Let k be h(7). Let p = -2 - -3. Sort p, k, -3, 3 in decreasing order.\nAnswer: 3, p, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 43, -3\/2, 4, -0.2, 0.18, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3022*l + 6. Let w(j) = -6004700*j + 11920. Let k(u) = -5960*q(u) + 3*w(u). Let d(a) = a. Determine k(d(n)).\nAnswer: -2980*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(-9) + 132\/2880 and 41\/4.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**2 + 2*x**2 + x**2)*(-25*x - 4*x - 9*x)*(2*x**2 + x**2 - 2*x**2 + (x + 2*x - 2*x)*(2*x + 3 - 3)).\nAnswer: 228*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-186)\/(-4)*11*(11986\/20284)\/((-26)\/(-8)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -448 bigger than -450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3305264, -6610530, -9915794, -13221056, -16526316, -19831574?\nAnswer: -23136830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 0*d + 5*d**2 - d**3 - 6*d + 2 + 0*d**3. Let x(j) = j**3 - 12*j**2 - 12*j - 9. Let a be x(13). Calculate c(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 165.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10990980 and 133224.\nAnswer: 21981960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q - 4157*q**4 + 4232*q**4 - 94*q**2 + 4*q**6 + 82*q**2 wrt q?\nAnswer: 480*q**3 + 1800*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.09321 rounded to 1 decimal place?\nAnswer: -38.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 200699327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by 689.\nAnswer: 49\/689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74726635.\nAnswer: 5, 14945327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 762*h + 187*h**3 - 762*h.\nAnswer: 187*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1823958315?\nAnswer: 3, 5, 31, 1307497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.5 and 4.793632.\nAnswer: 1.293632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1547*a - h - 4 = 1543*a, h - 10 = -3*a. Solve -3*f + a*d - 9 = 0, 0 = -12*d + 17*d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -417071, -417056, -417031, -416996, -416951?\n\"Answer: 5*o**2 - 417076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3 + (2 - 0)). Suppose -j*c + c = -2. Suppose -c*b = b - 9. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 842 - 362 = 10*x. What is the greatest common factor of x and 1392?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -665 - -681. Let b(a) = -7*a**2 + 7*a - 3. Let k(y) = 22*y**2 - 22*y + 10. Give d*b(n) + 5*k(n).\nAnswer: -2*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3313.6 and -0.3.\nAnswer: -994.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2899*v + 38 + 76 + 83 - 197 + (2*v - v - 3*v)*(2 + 0 - 3).\nAnswer: -2897*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025445401 to seven decimal places.\nAnswer: 0.0000254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**8\/1344 - p**7\/840 - p**4\/12 - p. Let x(y) be the third derivative of r(y). Find the third derivative of x(f) wrt f.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 23 - (0 + (-3 - (-4 - 0)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 12:31 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 r, and 1 w when four letters picked without replacement from {v: 4, u: 8, w: 1, r: 2}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-15)*18\/4. Let u(o) = -4 + o + 2*o**2 - o**2 + o**a - 6*o**2. What is u(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y - 5*y - 4 + 5*y. Let v be w(1). Suppose 0*s - 6*s + 366 = v. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*t + 310 = 0, 3*k = -k - 4*t + 312. Let f = k - 36. Suppose 4*y - 2*h - 3*h - 116 = 0, 2*y = -h + f. What is y rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -18*g + 5. Let u(q) = 667*q - 184. Give 5*u(s) + 184*w(s).\nAnswer: 23*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-299*f + 45608 - 45608)*(f + 3*f - 5*f)*(3 - 1 - 1).\nAnswer: 299*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*h - 35*h = 104. Let t(r) = 8*r + 9 + r**2 - h - 8. Determine t(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*a - 736, -a + n - 166 = 5*n. Let u = 370 - a. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 8*z**2 - 2*z + 23. Let n(m) = -m**3 - 5*m**2 - m + 15. Give 5*g(j) - 8*n(j).\nAnswer: 3*j**3 - 2*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3986 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -330*j**3 - 14*j**2 + 60 wrt j?\nAnswer: -1980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6264 + -1757. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67018 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 656, 1265, 1884, 2567, 3368, 4341?\n\"Answer: 9*s**3 - 49*s**2 + 693*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*v - 2257, 1494 = -2*t - 72*v + 68*v. Let j = 807 + t. Calculate the remainder when 53 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*b**3*m**2 - 640*b**3 + 2844*b**2*m**3 + 7*b*m wrt m.\nAnswer: 10*b**3 + 17064*b**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89836*b**5 + 2*b**2 - 736*b + 2 wrt b.\nAnswer: -5390160*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -u, -3*s - 55*u + 60737 = -51*u. Is s at most 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 7 + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11519625?\nAnswer: 3, 5, 13, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 0\/1)*(-495)\/297. Let k = -240 + 5759\/24. What is the common denominator of 15150\/(-750)*(t\/28)\/(-1) and k?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 4*v - 35*v)*(0 - 1 + 0) - 2*v + 2*v + v.\nAnswer: 33*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-150)\/80)\/15*-6\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 + 3*y**3 + y**3 - 2*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -124.068 + 124. Let f = j - -26.568. Round f to 0 dps.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(5\/4))**(-18)\/(y\/y**(-11)*y*y**2) assuming y is positive.\nAnswer: y**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -47*l - 27. Let f(a) = -106*a - 55. Give 6*f(s) - 13*y(s).\nAnswer: -25*s + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 430 + -421.05. Let x = z + 14.01. Let p = x + -23. Does -2\/11 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eeeeeeeeoeeeoeeeeeee?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -835805?\nAnswer: -250741.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 - 15*k**3 + 3*k + 12*k**2 + 0*k**2 + k.\nAnswer: -15*k**3 + 14*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17017401944.51717501 + 5656513845.51717194. Let f = b - -11360888032. Let r = 67 + f. What is r rounded to 7 decimal places?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 43*f**3 - 3*f - 4. Let l be m(2). Let y = l + -715. Is (y\/(-9))\/((-3)\/(-63)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5238114074?\nAnswer: 2, 397, 1663, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*g - 30, 3*g + 0*p - 35 = -2*p. Suppose g*s - 215 = 4*s. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276*o = 318*o - 12870438. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 15*z**2 - 26*z. Let t be i(13). Let d be 18 - -2*1*1. Suppose -4*k + 3*k + d = t. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*j**4 + 23*j**3 - 34*j**4 - 12*j**2 - 2 + 12*j**4 + 11*j**4 + 2*j**2 to the form g*j**3 + x + w*j**4 + c*j + m*j**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 12*q. Let s(c) = 16 - 45*c + 13*c - 34 + 14*c + 15*c. What is x(s(b))?\nAnswer: -36*b - 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, 78, 199, 324, 447, 562, 663, 744?\nAnswer: 799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -4. Suppose 6 = 2*g - f, 5*g + f - 29 = -r*g. Let j be -1 + -1 + -1 + g. Sort -1, j, 3.\nAnswer: -1, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.035 and -7?\nAnswer: 0.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**5\/20 + 5*s**4\/12 - 2*s**3\/3 - 3*s**2 - 138*s. Determine m(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -104494, -199930, -295366, -390802, -486238, -581674?\n\"Answer: -95436*i - 9058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/2222 and 13\/87.\nAnswer: 193314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -13, 17, -4.\nAnswer: -13, -4, 0, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/4 + 0 + (-2 - 1). Suppose 0 = -2*x + 2*s + 12, 27 = 5*x - 0*s - 2*s. Let n(o) = 0 + 0*o + 8 + 3*o - x. Let z(y) = -1. Calculate q*n(h) - 3*z(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.18 + 0.02. Sort 0, d, 0.6 in decreasing order.\nAnswer: 0.6, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 16*a**4 + 6*a**2 - 15*a. Let d(j) = -j**4 + j**2 + j. Let l = -12 - -6. Let y(p) = l*d(p) + s(p). What is the second derivative of y(b) wrt b?\nAnswer: 264*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 2*i + 24 = 0. Calculate the remainder when 21 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(17) - (sqrt(34)\/sqrt(2) + 4)) + sqrt(187)\/(sqrt(33)\/sqrt(3)) + -4 - (-5 + sqrt(102)\/(-2*sqrt(6)) + -1*sqrt(17) + -5 + -2))**2.\nAnswer: 5*sqrt(17) + 429\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3800077?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 - 33.1\nAnswer: -33.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9390208 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(3) + 2 + (sqrt(192)*1)**2.\nAnswer: sqrt(3) + 197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 2 + 0 + -13 + 20\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243, 276, 311, 348, 387, 428?\nAnswer: 471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggyyyyggyyy. What is prob of picking 2 y and 1 g?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287313*c**4\/7 + 3735093*c**3\/7 - 944073*c**2 + 3160995*c\/7 - 264\/7 = 0. What is c?\nAnswer: 8\/95771, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 429 + -395. Suppose 3*l - x = w, -2*l + 36 = -11*x + 13*x. Calculate the highest common divisor of 208 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3686031 by -9.\nAnswer: 409559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*p - 2*w, -p + 4 - 3 = -2*w. Sort p, -4, -1 in increasing order.\nAnswer: -4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149 + 198*g**2 + 149.\nAnswer: 198*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103753 - -166459. What are the prime factors of q?\nAnswer: 2, 3, 7, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 907.8961 milligrams in nanograms?\nAnswer: 907896100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -62 - (697\/51 - 76)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -12 (c) 59 (d) 3 (e) 0.052 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.122 + 0.322. Which is the closest to 1? (a) h (b) 1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, x: 9, t: 1, s: 2}. Give prob of sequence sa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -1*sqrt(432))**2 + sqrt(432) + sqrt(432) + -1 + -2 - (sqrt(432) + (5*2*sqrt(432))**2 + 2))*5.\nAnswer: -213860 - 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 12\/19, -5\/6, 20?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 11:35 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f + 5*m + 7, m = -1. Let n = f + 0. Solve 4 = n*s - 5*o - 0, -3*o - 15 = 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36\/5 + 4\/5*j**3 + 12*j - 28\/5*j**2 = 0. Calculate j.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1133571*b - 7739786 + 3*b**4 - 473*b**3 - 2884216*b - b**4 + 4*b**4 - 74889*b**2 - 7*b**4.\nAnswer: -(b + 2)*(b + 157)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64\/126 - 1*(-2)\/(-9)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 6:24 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305810 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (138\/(-24))\/(-4*(-4)\/64).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -902 divided by 3252\nAnswer: -451\/1626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*l = -5, -5*q + 25 = 6*l - l. Suppose -q*o = -51 - 35. Does 18 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 21. Is -2 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -12*v**4 - 1605*v**3 + 15630*v**2 - 34695*v + 7722 = 0?\nAnswer: -143, 1\/4, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**7\/105 + s**6\/360 - s**4\/24 - 94*s**3\/3 - 122. Let f(w) be the third derivative of k(w). Calculate f(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m - 11. Suppose 2*j - 4*i = 13 - 11, -j + 15 = 5*i. Let z be ((-4)\/(-10))\/(1\/(-30)). Let a(l) = -15*l - 27. Give j*a(p) + z*s(p).\nAnswer: -3*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 58023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.1 + 0.1. What is the smallest value in -4, 0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtwwwtwawgwwaw. Give prob of picking 1 a and 1 t.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79\/445 + 2\/89. What is the nearest to -2\/19 in n, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 - 34. Suppose y*d - 114 = 11*d. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -265820 by 4.\nAnswer: -66455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, -0.3, 1.4, -2\/47, -4?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -35*c**2. Let u be -1 + 2*51\/6. Let q(s) = s - u - 6*s - s. Let i(m) = m + 3. Let z(y) = -16*i(y) - 3*q(y). What is z(f(h))?\nAnswer: -70*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4 + 2*j**2 - j**2 - 3 + 9*j. Suppose -o + 4*o - 3*m = -18, -2 = 2*m. Give w(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 10:01 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 627\/13 + -48. Let k = -7905 - -7892. What is the smallest value in 2\/11, k, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -119\/59485 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 34421*s + 34423*s = 34, 0*j + 11*s = 3*j + 130 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 7:12 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 3*z**2 + z - 2. Let h(f) be the first derivative of -f**4\/4 - 7*f**3\/3 + 3*f**2\/2 - 5*f - 64. Let o(y) = 5*g(y) - 2*h(y). Give o(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z + 8 = 0. Suppose -5 = 5*u - 2*k + 14, -11 = u - z*k. Let q(n) be the second derivative of -n**4\/12 - n**3\/6 + n**2 - n. Calculate q(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3568873 - 2*k**2 + k + 3568873 - k.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (44\/(-22))\/(2 - (-208)\/(-118)) and -1 + 1 - (-78)\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17876 and 3052?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204837 and 24?\nAnswer: 1638696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 31\/6) + (-2 - (-174)\/(-36)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 + 4*b**2 + 10*b + 11. Let d(o) = -6 - 7 + 9 + o. Let t be d(-2). Is r(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 132 - 260758?\nAnswer: -260626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*d + 11*d + 79. Let m = d - 79. Let g(l) = -l**2 + 7*l - 6. Let u be g(6). Solve u = -3*r + z + 5, m = -4*z + 4 - 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125066 is divided by 735?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5210806 - 3*k**3 + 2*k**3 - 5210806.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -10001*t**4\/12 + 3*t**3\/2 - 4*t**2 - 3*t. Let w be x(8). Round w to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*-3*(-5)\/(-90)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198 + 167 + (-2 - -6 - (6 - 7)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57.2 + 57. Suppose 4*l = -k + 19, 4*k + 2*l - 6 = -0. Which is the closest to o? (a) k (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 16557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4*u + 131918, 5*l - 329775 = -5*u - 0*u. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 351 or 4923\/14?\nAnswer: 351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -17ab4 (base 12) in base 2?\nAnswer: -1000011001101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1058\/27979?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 488185, 976399, 1464613?\n\"Answer: 488214*c - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) + 2*sqrt(96)*-2)\/(2*sqrt(4)*5))\/(-4*(sqrt(16)\/(-1*sqrt(2)) + sqrt(648)*1)).\nAnswer: 3*sqrt(3)\/320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4 - 2*f - 7 - 5*f + 4*f**2 + 4*f. Let b(u) = -u**2 - u. Let d(m) = 3*m**2 - 13*m - 7. Let z(o) = 6*b(o) - d(o). Calculate -14*r(i) - 6*z(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 9) to base 10\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 11*b**4\/6 + 9*b**2 - 4*b. What is the first derivative of s(p) wrt p?\nAnswer: 44*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*g - 9 = 0, -d + 4*g - 9*g = 13. Sort 0.1, d, -7 in decreasing order.\nAnswer: 0.1, d, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3) + (-16)\/(-3). Suppose 93 = 2*v - 3*m, 6*m + 265 = 5*v + r*m. Suppose -n - 5*s - 2 = 4, 5*n - 3*s - v = 0. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = k - 76979, 0 = -k + p - 6*p + 77021. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 0*q = -5*d + 16, -4*d = -7*q + 13 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**2 - 46*b - 86. What is f(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*g - 137 + 137 + (-2 - 2*g + 2)*(0 - 1 + 4).\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -59.9 in -9, 0.14, 3\/5, 1\/4, -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 2*k**2 - 2*k**2. Let d(n) be the third derivative of -4*n**2 - 1\/30*n**5 + 0*n + 0*n**3 + 0 + 0*n**4. Give d(f(o)).\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 71 = -5*k, 5*t + 16 = 4*k + 168. Solve 96 = -t*q - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447 = -4*b - 17*m, 1060*m - 141 = -2*b + 1065*m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 8 + 13 = 11 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 215241 (base 10) in base 11?\nAnswer: 137794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4)\/((-5)\/20)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = -4*c - 5*i - 11, 0 = 2*c + 5*i + 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -9*m + 8. Let p be v(4). Let l = p - -30. Solve -l*s + 0*d = 5*d - 4, 2 = s + 5*d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000142890452 rounded to seven dps?\nAnswer: 0.0000143","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -42, -93, -130, -147, -138, -97, -18?\n\"Answer: x**3 + x**2 - 61*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13950833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*t - 3392 = -2482 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6015728.75 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 8. Suppose -5 = d*y - 4*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 3, d: 1}. Give prob of picking 1 z and 1 a.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/11 (b) -3 (c) 5 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.3 and -248319?\nAnswer: 248320.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2723*3.\nAnswer: 8169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -193 - -565. Suppose 0*x = 4*x - 5*l - 27, 5*x + 3*l - 6 = 0. Suppose -w = -f - x*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.4 (c) -344 (d) -21 (e) 1\/16 (f) 5 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 + -88. Suppose 4*t - 3*y = -4 + 33, k*t + 4*y - 13 = 0. Solve 3*m - 9 = 3*w, -5*w - t*m = -3*w + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2665 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v - 2*v**2)*(-738 - 7*v + 738)*(2*v - 8*v - 2*v)*(-2*v + 0*v + 5*v).\nAnswer: -336*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -200 and 31454973.\nAnswer: 31454773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10184 and 402?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 88*v + 118. Let t be q(7). Suppose -3*r + t = -5*m, -4*r - 2*m + 566 = -430. List the prime factors of r.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -155a?\nAnswer: -1557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -54*v - 58. Let u be g(-1). Calculate the least common multiple of ((-684)\/285)\/(u\/330) and 144.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 + -29. Suppose 137 = 2*a + 41. What is the highest common divisor of w and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2577 + 2577.1. Which is the nearest to 2\/5? (a) q (b) 0.2 (c) 2 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(112)*2 + 4 + 3)*-6.\nAnswer: 252 + 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 12121220120?\nAnswer: -12121220121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299*n + 302*n - 1278 = 0. Calculate the remainder when n is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-14)\/(-4)) + 0. Let t = 2.06 + -0.06. Which is the third biggest value? (a) -4 (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 7:53 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = 8*x - 5*p, 0 = 136*x - 140*x + 3*p + 146. Let l(j) = 15*j**2 - 5*j + 1. Let h be l(-4). Calculate the highest common divisor of h and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2\/7 - 282*m\/7 + 8928\/7 = 0 for m.\nAnswer: 48, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 959460, 959459, 959458?\nAnswer: 959457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2871240 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 19. Suppose -16 = -2*y + j. Solve y = 2*d + 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88871400 by 45.\nAnswer: 1974920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 1, 0, -2, -52.\nAnswer: -52, -25, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2\/2 - 101255175*w - 2050522092856125\/2.\nAnswer: -5*(w + 20251035)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7*n. Let r(a) be the second derivative of -5*a**3\/6 + 5*a. Determine r(q(m)).\nAnswer: -35*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 5083\nAnswer: -3\/5083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29158723*c**3 + 2733263*c + 4?\nAnswer: 174952338*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 277317 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/61 - -19\/1220. Let h = -7\/20 + f. Which is greater: -2\/7 or h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246507471 a multiple of 1623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005549181 to five decimal places.\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7060788?\nAnswer: 2, 3, 7, 28019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 33 (c) -1\/7 (d) -0.3 (e) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/12 + 6\/(-9) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -500 - -420. Let w = 106 + b. Calculate the greatest common factor of 234 and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, 4 in descending order.\nAnswer: 4, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 105998 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -836, -1676, -2510, -3338, -4160, -4976?\nAnswer: -5786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9830 and 2042.0286.\nAnswer: -7787.9714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j - 4. Let n be w(-1). What is n rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**4 + 5*w**3 - 50*w**2 - 20*w + 120 = 0. Calculate w.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1948\/5 - -2271\/5. Let f = 65 - l. Let r = 5 - 3. Which is the third biggest value? (a) -2 (b) r (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 - 0.9. Which is the third biggest value? (a) -1 (b) j (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 1)\/(3\/(-12)). Suppose m*u = 1 + 27. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129467.419 rounded to the nearest 100?\nAnswer: 129500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14292686 is divided by 7146340?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.466 - -0.072.\nAnswer: -0.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4375 and 265349.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -65*z - 160. Give p(-7).\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 194\/4*-1 + 2 and (0 + 83)\/(18 - 8) + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 + 5*v**4 + 0*v**4 + (-3*v + 3*v - v**2)*(5*v - 4*v + 3*v)*(-4*v - 1 + 11*v + 4*v).\nAnswer: -38*v**4 + 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2923 - 6759. What is the least common multiple of (-3)\/(-4) + c\/(-112) and 45?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 8*p**3 + 7*p**2 + 10*p + 24. Let i be u(-4). Let a = -209 - i. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 292, 583, 876, 1171, 1468?\nAnswer: 1767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 7*y**2 + 134*y - 11. Calculate the remainder when 1739 is divided by h(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001618440926 to 7 decimal places.\nAnswer: 0.0016184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - (-15 + 11 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -151*l**3 - 3*l**2 + l + 1. Does 15 divide q(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234\/13*346\/12?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10445097 to the power of 1\/2, to the nearest integer?\nAnswer: 3232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2629 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 19. Let p be i(18). Suppose -4*d + 6*d = 36. Let q(l) = 8*l**2 - d*l - 5*l**2 + 19*l. Give q(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52475 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 720245138 + 0?\nAnswer: 720245138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 203 + 181)*(-3*k - k + 0*k).\nAnswer: -1544*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**6\/160 - v**4\/32 - 44*v**2. What is l in b(l) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15 - 2)\/(1\/(-3)). Let m be y\/(-6) + 3\/6. Let l = m + -2. Solve -4*c - 5*k - 21 = 0, -8*c - 2*k = -3*c + l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -1 (b) -0.4 (c) 1\/6 (d) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17731 - -17760.004. Let y = m + -29. What is y rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 743*u + 10 + 743*u + 21*u**2.\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 8. Let g be z(-5). Suppose 0 = -g*t + 2*s + 34 - 11, -5*t = -3*s - 37. What is the second derivative of -2*h**5 + h + 5*h**t - 1 + 1 wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14, -57, -100, -143, -186?\n\"Answer: -43*y + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/186223 and 53\/5256?\nAnswer: 13408056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 49 = 2*c + 2*c, 5*c - 3*q = 58. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t**2 + 0 + 126*t + 3 + 0*t**2 + 8*t**2 - 131*t. Let a(j) = -j**2 - 9*j + 5. Let z be a(-9). Calculate r(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**4\/12 - 27*d**2. Let l(h) be the second derivative of 0 + 0*h**3 + h + 0*h**2 - 1\/6*h**4. Determine l(r(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-210)\/(-27))\/((-6)\/261). Let z = v - -667\/2. Calculate the common denominator of 2\/3*(-137)\/4 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 + 16*a**3 + 72 - 2*a**3 - 12*a**3 + 523 to l*a**2 + d*a + m*a**3 + k and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 6078*c**2.\nAnswer: c**2*(c + 6078)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9258097 decades in millennia?\nAnswer: 0.009258097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -25 - (21 + -83) - -4?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**3 + 34*r**2 + 203*r + 61. Give a(-7).\nAnswer: -1066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70 + (-136 - -94) + 43.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 44. Let j be (-2)\/3*(3 - s - 3). Let y(g) = 13*g - 11. What are the prime factors of y(j)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(6*sqrt(21)\/sqrt(3)) - (sqrt(300) - (1 + 3 + sqrt(300))**2).\nAnswer: 421*sqrt(3)\/6 + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aj when two letters picked without replacement from ajx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -475251 + 4476601 = 50*w. What are the prime factors of w?\nAnswer: 79, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.887 + 0.113. Which is the second biggest value? (a) 0.2 (b) -0.1 (c) r (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 78, 153, 244, 357, 498, 673?\n\"Answer: z**3 + 2*z**2 + 62*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 505.4 + -505. Let a = -45.8 + 46.1. Put a, -0.1, o, -4 in descending order.\nAnswer: o, a, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90 + -53. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7\/991 - -72217\/17838. Calculate the common denominator of x and 67\/20 + -2 + 2.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -47, -48, -51?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 204?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2359 (base 13) to base 16.\nAnswer: 136f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**4\/24 + 7*i**3\/6 + 8*i**2. Let d be v(7). Calculate the common denominator of (-79)\/(-20) + d\/5 and -117\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uupwunuupnun. What is prob of sequence upn?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8601.5 - -8601. What is the third biggest value in 1\/3, t, -20\/33?\nAnswer: -20\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7392\/770*5\/4\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 797033544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 982 divide 93234404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-28)*2 - (-30)\/4. Suppose -83 = -18*m + k. Solve -m*y = -6*y + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*b - 3*b. Let i = 5 + b. Let x be (1 + (1 - i))\/1. Solve x + 1 = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242665.\nAnswer: 5, 48533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 1055772*p**2 + 4223036*p + 3167268.\nAnswer: 4*(p + 1)*(p + 3)*(p + 263939)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 672 + -92767\/138. Find the common denominator of a and -121\/12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12153 = -19*s + 8513 + 26758. List the prime factors of s.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*q**3 + 73*q**4 + 11*q**3 - 85 - 45*q**4 wrt q?\nAnswer: 112*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.4 to zero decimal places.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, r: 1, v: 3, y: 3}. What is prob of sequence ryv?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 - 2913*u - 23492. What is j(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112.6 + -130. Round i to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**2 - 2*l - 1. Let o(u) = 4*u + 5. Let i(z) = -5*z - 6. Let x(d) = -3*i(d) - 4*o(d). Determine -2*n(q) + 3*x(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001655461899 to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k - 5. Let f be r(5). Suppose 4*l = 2*s - 24 - 10, l = -f*s + 30. Solve -5*u = -s*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 2 + -4 - (4\/(-2) - 2).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.01 (b) 1 (c) -0.5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**4\/12 - 3*t**3\/2 - 17*t**2\/2 - 2*t + 13. Calculate o(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -14 + 37*m**2 - 71*m**2 + 35*m**2 + 8*m. Determine g(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*q**2 - 112*q**5 + 65*q**5 - 14*q**2 - 15*q wrt q.\nAnswer: -940*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12324\/(-1456)*(-2)\/9 - (-5)\/(-32 - -2).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 + -5 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6004 (base 7) in base 15?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9\/3283 + 6611\/16415. Determine p so that -f + 3\/5*p**2 - 1\/5*p**4 - 1\/5*p + 1\/5*p**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 18*b - 9*b + 12*b + 2. Let w be p(5). Suppose 2 = 4*u - 18, 4*y - u = w. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8. Suppose -x*i = y - 1, -2*i = 3*y + 3*i - 7. Suppose y*j - 5 = 59. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3287 + 45975\/14. Let f be 1*(-54 - (-3 - -2)). Find the common denominator of l and (10\/8 + -1)*f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 32 = -2*u, 4*c + 4 = 20. Calculate the least common multiple of u and (-6)\/10 + (-5 - (-172)\/20).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001010000100 - 11001?\nAnswer: 110001001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3215*j**3*k**3 - j**3*k - 2*j**3 - 2*j**2*k**3 + 2*j*k**2 - k**3 - 304*k**2 wrt k.\nAnswer: 19290*j**3 - 12*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-5\/3)))\/s)\/s**(-3)*(s**(1\/3))**(-11) assuming s is positive.\nAnswer: s**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209, -534, -1105, -2048, -3489, -5554, -8369?\nAnswer: -12060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 6*v**2 + 3*v**3 - 58 - 3\/4*v**4 + 0*v. Find g, given that o(g) = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135178201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 17. Let i = -3400 - -3404. Is i at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -55 + 3*r - 4*r + 60. Let h(l) = l - 3. Let g(f) = 2*b(f) + 3*h(f). Let j(w) = 8*w + 4. Suppose -18 = 5*c - 2*c. Give c*g(a) + j(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 8. Suppose -n + 2*s + 15 = -s, 3*n = -5*s - 25. Sort p, 3, n in increasing order.\nAnswer: n, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 5*a + 6. Let d be n(6). Suppose d = -8*x + 2*x + 6. Let h = 145 + -575\/4. Which is smaller: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u - 1708 + 74 = -63*u. Calculate the remainder when 105 is divided by u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 101*c + 660. Let q be t(94). Solve -4*k + 12 = q*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3528 and 28?\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -41. Calculate the common denominator of (-85)\/6 - 1\/(-3) and (c + -8)\/(2*-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -100340*p**4*z**3 - 182*p*z**3 + 33921848*z**3 wrt p?\nAnswer: -401360*p**3*z**3 - 182*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2949686 + -0.295. Round b to six decimal places.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01102 rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -104043032 (base 5) in base 8?\nAnswer: -1572521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -b - 18, 0*q + 2*q = 8. Let f(o) be the first derivative of -o**2 + o - 1. Calculate f(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9048 + 521 = p - 3*h, 5*p - 47821 = 3*h. Let a = p - 5682. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -198 + 497. Let z = n - 159. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.9 + -25. What is the third smallest value in v, -3\/4, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(72) - (0 + 1*sqrt(2)))**2 + (sqrt(18) - (sqrt(648) - (sqrt(648) - 4*sqrt(648))))\/sqrt(9).\nAnswer: -43*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1989 divided by 6838?\nAnswer: 153\/526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -4*r - 83 + 47, 0 = u - 284*r + 292 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 21*t**2 - 1 + 18*t - 8 - 10*t**2 - 8*t**2. Let m be b(-11). Let d = m - 56. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 9 + 123. List the prime factors of k.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 20*x**2 + 3*x - 3. Let p be s(5). Let d = -385 + p. Solve d*a + 8 = -0*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1887560 is divided by 1200?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -201 + 156. List the prime factors of ((-27)\/h*-2)\/(4\/(-1190)).\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -15 - 18*r - r**2 - 3*r - 39. Let l be g(-11). Let y(u) = 4*u + 2. Let i be y(3). Calculate the highest common divisor of i and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 624 divided by -4\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4668 + 9946. Suppose 4*k - m = 2638. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 11*f**5\/5 + 12*f - 39. What is the first derivative of n(p) wrt p?\nAnswer: 44*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 12:38 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 9:08 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 295542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 + 0*h**3 + 0*h**3 + (-329*h**3 - 185*h**3 + 49*h**3)*(0*h**2 - h**2 + 2*h**2).\nAnswer: -463*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -603 - 369. What is the remainder when p is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 23*b**2 + 13*b. Let q(y) = 11*y**2 + 6*y. Let j(v) = -v**2 - 4*v - 8. Let k = -210 + 205. Let d be j(k). What is d*q(z) + 6*h(z)?\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2))\/((60\/(-96))\/5). Suppose -4*s = -n*c + 5524, 11*c - 5521 = 7*c + s. Does 69 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**4\/12 + 43*f**3\/6 - 44*f**2. Let l be h(19). Let u = -5 + 8. Solve l - 2 = -j + u*c, -c - 12 = 4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 + 132500\/34 + (-46)\/782 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 608 = -j - j. Let t be -1 + (j\/84)\/(-4). Which is smaller: -0.1 or t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/133? (a) -2 (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.968 - 0.108. Let k = g + -0.66. Let m = 13.3 - 13. Which is the biggest value? (a) m (b) 0.1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 + 66. What is the remainder when q is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 4. Let r be 2 + 1 + (5 - a). Let j = r - -5. Solve s + 2*d = -2*s + j, -3*s = d - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-5)*25\/(-40)*((-64)\/14)\/8?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 16 + 12 + 2*c + (3 - 3 - 2*c)*(1 + 3 - 3) + c - 3*c + c - 3*c + 0*c + c)*(5*c**2 - c**2 - 2*c**2).\nAnswer: -6*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-5)*((-12)\/(-9))\/(-4). What is the biggest value in 1.9, -2\/5, k?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -763*u - 7560. Calculate the remainder when 971 is divided by n(-10).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*b**2*z**2 - 2*b**2 - 6271*b*z**2 + 2*b*z + 25*b + 692 wrt z?\nAnswer: 64*b**2 - 12542*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**3\/3 - 3*p**2\/2 - 14*p - 8. Let t be w(6). Is t greater than or equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*l - 73*l - 71*l + 58*l + 161*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 11:55 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -5. Let g = -1804\/5 + 362. What is the third biggest value in g, v, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 5*g**2 + 5*g + 18. What is z(7)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1413686029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + 0.9. Let l be 0 + -1*(13 + 0). Let k(c) = -c**2 - 14*c - 10. Let n be k(l). Which is smaller: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {b: 1, q: 7, z: 1}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33955?\nAnswer: 5, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6078, 12148, 18216, 24282, 30346, 36408, 42468?\nAnswer: 48526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.106 rounded to 1 dp?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, p: 1, t: 1, n: 3, b: 1}. What is prob of sequence pc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.52 * 0.2325\nAnswer: -0.1209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19840 is divided by 9911?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a tonne in kilograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 + 9*n + 10. Let f be w(-5). Suppose 4*i = 9 + f. Suppose -2*z + 3*r = -i, -3*z + 0*r + 9 = 2*r. What is the highest common factor of z and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 11*k**2 - 2*k - 5. Calculate the remainder when 48 is divided by j(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*q - q = -88, 2*q = 0. Let r be p\/((-3)\/(78\/4)). Let f be 25\/2 - (-1)\/2. Calculate the highest common divisor of r and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51410 and 22366.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*j - 221*j + 459*j = 7708 for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 32*w - 176. Let z be r(25). Which is the third smallest value? (a) 30 (b) z (c) 4 (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16743 and 366.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**11\/(f**(-7)*f)*(f\/((f\/(f*f*((f\/(f**19*f))\/f)\/f*f)*f)\/f))**(-36) assuming f is positive.\nAnswer: f**665","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 18 = -3*t - 6, 0 = 3*t + 5*n + 20. Let z(v) = -v + 87. Is z(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-9)\/o**(-8\/5))**(-12\/5) assuming o is positive.\nAnswer: o**(444\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 203 and 783.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 5*n**2 - 4*n - 7. Let a be p(6). Let y = 0.366 + -19.466. Let r = -19 - y. What is the biggest value in -1\/4, a, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4405 + -12?\nAnswer: -4421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 58?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d**2 - 4. Let x be q(-2). Let i = 20 + x. Which is the closest to 2? (a) 2 (b) -2\/11 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/7 (b) -1\/5 (c) 3511 (d) -0.5 (e) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/2, -5, 0.1, 18?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018 times -337?\nAnswer: -6.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -b - 2*b. Suppose -j - 2*c = -b, -c - 1 = -4. Put j, -2, -1 in decreasing order.\nAnswer: j, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4690695 is divided by 845.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**2 - 4615989*o + 50776242 = 0.\nAnswer: -1538674, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 3, -2743 in increasing order.\nAnswer: -2743, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11007.\nAnswer: 3, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2 + 5)*(-11)\/11)\/39. Which is the biggest value? (a) 2 (b) -0.02 (c) 5 (d) 1\/2 (e) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1164405*y + 1164383*y - 1320 = 0 for y.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73 and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000025313 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -366411, -366409, -366407, -366405, -366403, -366401?\nAnswer: -366399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*3283.367.\nAnswer: 29550.303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 747 + -743. Suppose -o = -b - 2, -5*o = b + 3*b - 37. Solve 2*d = d + b*p - 14, 3*p - 4 = -g*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b - 1\/3*b**4 + 7\/3*b**2 + 0*b**3 + 0.\nAnswer: -b*(b - 2)*(b - 1)*(b + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-2))\/v)\/v**(-2\/9))\/((v*v*v**(-3\/8)*v)\/v*v*v**(-4)) assuming v is positive.\nAnswer: v**(-29\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*o + 24*o + 308 = 0. Let m = -32 + o. Let d = 49 - m. Solve -h - d*h - 15 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2 - 53*o + 6. What is w(15)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -13 - 25\/(8\/((-936)\/(-45))).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**2 + 3*c + 1. Is z(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 103 = -5*r, r + 3*r - 5*b - 95 = 0. What is the remainder when 58 is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -716 - -716. Let s = -0.09 + 0.16. What is the nearest to s in 0.4, 0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 - 2*v**2 - 39*v - 18 - v**2 + 63*v. Let u be j(23). Suppose -u*d = -110 + 35. What is the remainder when 33 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 2696.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*g + g + 3*y, -2*y + 10 = 0. Let v = g - -1. Suppose -s + v*s - 2*q - 20 = 0, -2*q - 30 = -4*s. What is the smallest common multiple of s and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 110003.\nAnswer: -14\/110003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 698611187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -766, -854, -930, -994, -1046, -1086?\n\"Answer: 6*p**2 - 106*p - 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h + 2. Let x(t) = 6*t - 1. Let q(f) = -2*n(f) + 2*x(f). Give q(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -6. What is the units digit of (14\/v)\/(4\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o = 0. Suppose o = -r - 3*r + 56. Calculate the least common multiple of r and 3\/1 + (1 - -4).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46899 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*h**2 - 133*h**2 + 259*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrfq. Give prob of sequence fr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r - 2*z = -20, 16 = 3*r + 2*z. Suppose -4*n = 4*v + 32, -2*v + 3*v = r. Let p(u) = -u**2 - 12*u + 4. What is the units digit of p(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 124.32 + 2.18. Let r = f - 126. Which is the biggest value? (a) 9 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08988 + 687.08988. Is r at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468267 is divided by 93643.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 651569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**4 - 2 + 2*j**3 - 2*j**2 + 66*j - 3*j**4 - 68*j to the form f*j**2 + h + a*j + m*j**4 + r*j**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-15))\/(-7 + 334\/(-240)*-5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (21 + (-26 - 2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 37 = -3*n. Let z be 34 + -32 + n\/1. Factor 1\/3 + i**2 - 1\/3*i**z - i.\nAnswer: -(i - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-6))\/(1\/(-7)). Let a = q - 5. Determine y, given that 2\/7*y**4 - 2\/7*y**a - 2\/7*y**5 + 0 + 2\/7*y**3 + 0*y = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(5\/9)*u)\/u*u*(u\/((u*u**(-8)\/u*u)\/u))\/u assuming u is positive.\nAnswer: u**(86\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -171 + 0.8396538\nAnswer: -170.1603462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**3 + c**2 - 5*c - 6. Let y be f(-1). Suppose -2*i = 5*x - 35, 54 + 7 = 4*x - 5*i. What is the greatest common divisor of y and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 less than 4.9?\nAnswer: -66.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -26 + 96. Suppose 0 = -61*q + 60*q + g. Suppose q*l = -0*l - 4326. What is l rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(2\/(-18))\/(181\/362)*93\/(-10)?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + 3. Let n be 10\/(-65) + 54\/u. Suppose -n*p = -16, -68 = -4*y + 4*p + 16. Calculate the remainder when 73 is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1425600 (base 12) to base 8\nAnswer: 17303440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 4*u + 5*u)*(3 - 2 + 1) + 2*u + 2*u - 5*u + 0*u - 3*u + 4*u + 3*u - 2*u - 2*u + (-2 + 2 + 8)*(-65*u + 23*u + 0*u).\nAnswer: -335*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -407*z + 411*z**3 + 407*z + 5 - 5.\nAnswer: 411*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 1. Let r be d(-3). What is the remainder when 49 is divided by (102\/12)\/(-1 - 3\/r)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2\/7, 1\/28, -97, -5, 3, -7 in increasing order.\nAnswer: -97, -7, -6, -5, 1\/28, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9.359323 times 0.5\nAnswer: -4.6796615","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 106*h**3 + 257*h - 3. Let a(d) = -d**3 - 2*d - 1. Let k(v) = 3*a(v) - l(v). Find the second derivative of k(j) wrt j.\nAnswer: -654*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -1)*3276\/(-168)*(-2)\/3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/7026 or 1?\nAnswer: 1\/7026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2109090 + -2109078.00017. Let y = 28 + -16. Let o = y - v. What is o rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -15. Let n = 115.28 - 113. Let l = n - 0.28. Sort s, l, -0.5 in increasing order.\nAnswer: -0.5, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40239 + 40323. What is the nearest to 1 in -0.03, h, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 take away -103424111?\nAnswer: 103424152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*r - 9*r**2 + 248*r + 50*r**2 - 20*r**2.\nAnswer: 21*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 5. Let c be w(5). Suppose -5*m = -c*m + 10. Let l(t) be the second derivative of t**4\/4 + t**3\/2 + t**2 - 36312*t. What is l(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 34 = i. Let c be ((-1)\/(-2))\/((-8)\/i). Let w(s) = -4*s**2 + 8*s**2 - 2*s + s**c - s**3. Calculate w(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from nnsrssnorno?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 53*n**3 - 45*n**2. Let w(j) = -13*j**3 + 11*j**2. Let q(p) = 2*b(p) + 9*w(p). What is the third derivative of q(u) wrt u?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18080 and 2587700?\nAnswer: 20701600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4891 - 3934. What is the remainder when d is divided by 160?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h - 4*h + 5*h)*((2 + 0 + 0)*(h + 0*h + 2*h) - 76*h + 16*h - 71*h) to p*h**2 + w + u*h and give p.\nAnswer: -625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -33409\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 4930*c**2 + 10*c**3 - 6*c + 6*c.\nAnswer: 10*c**3 - 4930*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, v: 17}. Give prob of sequence vv.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*u - 63*u - 25 = 0. Let w = -15 - -14. Put w, -14, u in ascending order.\nAnswer: -14, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -607126*g*h - 15*g + 543044*h wrt g.\nAnswer: -607126*h - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2336\/7 (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r + 19*r - 25 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -208*a + 5616. Determine g(27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.5 and 0.197.\nAnswer: -0.8865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17531015, -35062058, -52593101, -70124144, -87655187?\n\"Answer: -17531043*c + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 2. Let b be 0\/1 + 3 + k. Suppose 10 = 2*j + 2. Solve b = -j*z - t - 0*t, -5*z = 5*t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4832.661 litres in millilitres?\nAnswer: 4832661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2 = 2*o, 0*o = 4*c - 3*o - 3. Solve c = 4*u - u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 31*c**4\/12 + 357*c. Let x(n) be the third derivative of 0*n**3 + 0 - n**2 + 0*n + 1\/60*n**5 + 0*n**4. Determine t(x(k)).\nAnswer: 31*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-34)\/(-935) + -1*10\/(-55)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27560\/(-9828))\/53*(-14)\/30.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 k when four letters picked without replacement from {d: 2, p: 9, v: 2, k: 3}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 97*p + 9. Suppose 7*h - 63 = 7. Is v(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-7))\/((-6)\/(-12)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 702424, 702426, 702428?\n\"Answer: 2*d + 702422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-7)\/(-441)*-2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/5)\/((-7)\/245)*929\/(-1858).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/2 in 2, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + f - 13 + 8*f**4 + 26*f**3 - 44*f**3 + 2*f**2 - 4*f**4 + 19*f**3 in the form r*f + l + h*f**4 + k*f**3 + p*f**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4520 - -3?\nAnswer: 4523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 7*o - 6. Let n be t(4). Let s(d) = d**2 - 4*d - 7. Determine s(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 1, 2\/11, 64867?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 + -19 - 36) + 45?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-32)\/(-1216))\/(2\/(-8)). Which is bigger: -0.032 or z?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4026737 is divided by 25648.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o + 3*o + 97 + 98 + 4*o.\nAnswer: 3*o + 195","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122, 5, 3, -32 in ascending order.\nAnswer: -32, 3, 5, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, a: 1, r: 4, o: 6, j: 3, v: 4}. Give prob of picking 1 r and 1 v.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -962*b*w**3 + 968*b*w wrt w.\nAnswer: -5772*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17726?\nAnswer: 2, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -238 (c) 5 (d) -0.1 (e) -3336\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 11011101001?\nAnswer: 11011100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t + 28. Let f be d(2). Suppose -16 = -f*y + 4. Which is smaller: -3\/385 or y?\nAnswer: -3\/385","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 5:46 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 105, 84, 61?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 262608 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 72 (b) 585.96 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30510 and 3780.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 794 divide 5324323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 25 - 17. Let j be (-20)\/x - (4 - 16\/2). Sort -4, j, -33.\nAnswer: -33, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1705704 to the power of 1\/2, to the nearest integer?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a meter in centimeters?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (598\/(-276))\/(1\/36*6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n + 4. Let h(k) = -k**2 - 18*k - 15. Let i = 42 + -59. Let o be h(i). Let r(w) = w + 1. Give o*a(d) - 6*r(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 116*a**2 + 752*a + 1024.\nAnswer: -2*(a - 64)*(a + 2)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*w - 33 + 20*w + 91 + 14*w in the form i + h*w and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13290098 to the nearest integer?\nAnswer: 3646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2071027159 rounded to the nearest 1000000?\nAnswer: -2071000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3dcc (base 15) to base 2.\nAnswer: -11001110111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 306178515 to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 5. Let a be c(8). Let l = a + -11. Solve -3*f + 2*o = -9, 0 = l*f - 3*o - 2*o - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**2\/4 - 30168939*i\/4 = 0.\nAnswer: -30168939, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/((4\/8 - -2) + -4). Let k(t) = -t**3 + 11*t**2 - 31*t + 6. Let q be k(u). What is the biggest value in 2, 5, -22, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 76076 or -1\/4?\nAnswer: 76076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21\/(-15))\/((-4)\/20). Let q(p) = p**2 - 7*p + 6. Let d be q(j). Solve -i - 16 = -d*i - 3*g, -2*g - 21 = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -4369 - -87381\/20. Let l = 130 - 1172\/9. What is the second biggest value in 1\/5, l, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 5*x**2 - 7*x + 3. Let v be b(6). Let o be -1 + 1\/(v\/(-9)). Let u be ((-3)\/o)\/(132\/16). What is the second biggest value in -0.1, 0.5, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 126*d*g**3 - 238*d*g - 209*d*p + 1935*d - 4*g**3*p + 3 with respect to g.\nAnswer: 378*d*g**2 - 238*d - 12*g**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103333606?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2943, 2942, 2941, 2940, 2939?\n\"Answer: -s + 2944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 6*a**3 + 536*a**2 - 8394*a + 5356 = 0?\nAnswer: -103, 2\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49649.5 tonnes to kilograms.\nAnswer: 49649500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 2*x**3 + 9 - 2*x**4 + 5 + x - x**2 in the form s + g*x**4 + p*x + k*x**3 + o*x**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22 + 66 - 7*q**2 + 52*q**2 wrt q?\nAnswer: 90*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 27*u + 794. Let b = 24 + u. Which is bigger: b or -20\/7?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(((2*sqrt(108) + sqrt(108))*-4)\/sqrt(9))\/(3*1*sqrt(6) + sqrt(6) - (sqrt(6) - 1*(sqrt(6) - sqrt(6)*-2 - sqrt(6)))))**2.\nAnswer: 288\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**2 + 2*m - 1. Let q(t) = t**2. Let p(k) = q(k) - x(k). Let y(j) = j**2 - j. Let l(b) = -2*p(b) + 7*y(b). What is l(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 941500 and 605250?\nAnswer: 8473500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127439 is divided by 135?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 534.1164 kilograms in nanograms?\nAnswer: 534116400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 4*b - 5. Let r = 242 + -247. Let f(d) = 40*d + 197. Let p be f(r). Sort b, -5, p.\nAnswer: -5, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3*i**4)**(-2\/179)*(i**(-3\/5)*i\/(((i*i**(1\/3))\/i)\/i))**(-10) assuming i is positive.\nAnswer: i**(-5770\/537)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7620997627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 + -44 + -25 + 48 - 68?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3045 - 1660 - 1389 - 158*i + 17*i.\nAnswer: -141*i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*t - 1164*t + 314*t = 20808 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 2*b + b - 4*f, -b = -f - 16. Let a = 5 + b. Calculate the remainder when 100 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 37 = 2*a, -130 = -5*a - 4*x - 30. Suppose -5*j = 2*d - 10, -3*j - 4*d = 2*j - 10. What is the highest common divisor of a and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39089 and 143?\nAnswer: 5589727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -17*((-4)\/6 - 2\/6). Suppose 6*h = c*h - 209. Calculate the highest common factor of h and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q*u**2 - 190*q*u*z**2 + 153*q + 10*u**2*z - 3*u**2 - u - 6*z**2 + 2 wrt z?\nAnswer: -380*q*u*z + 10*u**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -45251\nAnswer: -7\/45251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 362909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-90)\/(-28)*(-24)\/(-10). Let n = c + -568\/21. Calculate the common denominator of -91\/6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) 2\/13 (c) -1\/4 (d) 0.2 (e) -9 (f) -17 (g) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1020 and 2?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0249 - 2.9751. What is the biggest value in s, -2, -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2824*g**4 - 610*g**3 - 6921379*g wrt g?\nAnswer: 33888*g**2 - 3660*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191627551 - 8848*d + 8854*d - 191627551.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 5*c. Let x be l(-4). Suppose -1 - 3 = -x*p. What are the prime factors of (3 - -4) + 2*p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o - 6. Let k be w(4). Let n be 6\/(-8)*(-520)\/15. Suppose -3*g - n = -2*d - k*g, 4*d + g - 72 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1898)\/(-1971)*1044\/116?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-10) - (-4)\/(-10). Let m = z + 8. Let o = 12 - m. Solve 2*n - 9 = o*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**7)\/m*(m*m*m**(-1\/5)*m)\/m)\/(m*m*m**(-1)\/m)**(-3\/14))\/((m**(2\/5))**(7\/12)\/(m*m\/(m*(m*m\/m**(-2\/7)*m)\/m)*m)**(11\/4)) assuming m is positive.\nAnswer: m**(817\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 18*m**2 + 2*m - 1. Let t be q(-1). Suppose 20*d - t = 25*d. Let z(v) = 16*v**2 + 10*v + 7. What are the prime factors of z(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327463 is divided by 95?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3641 - -7716. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.8, 0.033, -2\/9, -12, 16, 0?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 82*t**3 + 2*t**2 - t. Suppose 3*v + 4 + 5 = 0. Let w = v - -4. Is r(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2 + 4*n**2 - 12*n + 6 - n**3 - 1 + 9*n**2. Let o be w(12). Which is the second smallest value? (a) o (b) -0.4 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/327 - -349\/3597. Which is the third smallest value? (a) -0.1 (b) r (c) -1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -509042.\nAnswer: -3\/509042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = 5*n + 8, 1311*n + 36 = m + 1307*n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/((o**2*o)\/o))\/o*o))**27)**40 assuming o is positive.\nAnswer: o**2160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -63256?\nAnswer: -3795.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24106176 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 62 = 6*h + 2, -5*y + 56 = -y - 149*h + 153*h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2394759280 to the nearest integer?\nAnswer: 48936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -154708*t + 222198.\nAnswer: -154708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30492 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-15)*(-276)\/16. Let s = 14 - d. Let b = 15 - 24. Put 3, b, s in decreasing order.\nAnswer: 3, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -75*a. Let z(w) = 3*w. Suppose -12*x + 2040 - 204 = 0. Calculate x*z(j) + 6*l(j).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54455445.\nAnswer: 3, 5, 11, 73, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10465, 10464, 10463?\n\"Answer: -n + 10466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 725071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -97 - -96. Sort 3, 5, n in increasing order.\nAnswer: n, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**5\/20 + k**4\/12 + k**3\/2 + k**2\/2 + 13*k. Suppose 0 = -22*o + 16*o - 12. Determine g(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -76*n + 73*n + 48, 58*r + n = 57*r - 10 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11968\/9 + 62396\/45. Let v = -56 + a. Let s = 15 + -11. What is the closest to -2\/7 in s, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/6 and -121\/1820.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -7. Suppose 4*o = -5*m + d, m - 4*o = -m + 24. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1488 = 17*u - 1573 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*h**2 - 23*h**2 - 21 - 27 + 6*h**2 + 9*h**2 to a*h**2 + b*h + y and give y.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 b when three letters picked without replacement from xlflllfbllbff.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/810 and 35\/666.\nAnswer: 29970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -29*x**3 + x. Suppose 4*f = f - 3. What is the tens digit of d(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**1)\/w**0 assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*k + 4 = 0. Let w = -7 - -10. Solve -w*r + 3*z = 24, r + z = -k*r - 22 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7207331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 7:28 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10623466 divided by 758819.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78.17 + 77.67. Let d be (-3)\/(6\/5)*2. Let r be 6\/20*d\/6. Which is the nearest to r? (a) -0.3 (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 8*b - 3. Let l(w) = w. Let s(u) = 6*l(u) - t(u). Give s(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 865808?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1275332, 1275330, 1275328, 1275326, 1275324, 1275322?\nAnswer: 1275320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2984? (a) 2 (b) -3 (c) 5 (d) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -19*r**3 + 3*r - 3. Let d(b) = -37*b**3 + 5*b - 5. Determine 3*d(v) - 5*n(v).\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*c + 3611 = 0, z + 0*z - 707 = 3*c. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2 - 52*q + 3. Let f be m(13). Solve 5*x + 3*h = 2 + 16, f = 3*h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -12817\nAnswer: -38451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 7*d**5\/60 - 7*d**4\/24 + d**3\/6 - 105*d**2. Let j(s) = s**2 - s + 1. Calculate -b(r) + 6*j(r).\nAnswer: -r**2 + r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4686 - 4685. Let m = 4 + -4.5. Let w = -4.5 + m. Which is the closest to t? (a) 0.4 (b) w (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -2\/15, 3.2417 in decreasing order.\nAnswer: 3.2417, 3\/4, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -77*p - 999590 + 1000899 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q - 7. Let n be b(-5). Suppose 5*a = -3*x - 9, 3*a = 3*x - a - n. Let l = x + 3. Solve -l*c - w = 4*w + 10, 8 = -c + 5*w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-48) + (-33)\/(-8). Solve -2*y - 6 = l*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/29, -62, -0.3, 0 in decreasing order.\nAnswer: 0, -2\/29, -0.3, -4, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(21) + sqrt(21)*-1)*6)\/(sqrt(363)*2) - (sqrt(21) + -1*sqrt(525))\/(-2*sqrt(3)*-5))**2.\nAnswer: 28\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-23 - 8495379\/(-18)) + (-18)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29449 is divided by 809.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*((-88)\/(-28))\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3465326ng to grams.\nAnswer: 0.0000000003465326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*p - 76, -p + 19 = -2*u - 20. Let d = 5 - -2. What is the greatest common factor of p and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (34\/8 + -2)\/((-3)\/(-12)). Suppose -12*f + 6 = -d*f. Find the third derivative of -31*s**2 + 20*s**2 + 25*s**f + 37*s**3 wrt s.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 26*j - 162. Give p(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1936 and 9680.\nAnswer: 9680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -816, 1\/6, -1\/21, -368 in increasing order.\nAnswer: -816, -368, -1\/21, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 19962788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 6*h - 9. Let a be k(3). Suppose 20*q + q - 5292 = a. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**6\/120 + 35*x**4\/12 - 25*x**3\/2 - 140*x**2. Find the first derivative of l(s) wrt s.\nAnswer: 3*s**2 + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rle when three letters picked without replacement from {p: 1, l: 3, e: 3, s: 3, i: 4, r: 1}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-15) - 11\/15. Let i = 82561\/5 + -16512. Put -87, z, i in descending order.\nAnswer: i, z, -87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122*s - 27*s**2 + 2*s**2 + 22*s**2 to the form l + c*s**2 + j*s and give j.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1353 - 1353. What is the third smallest value in l, -9, -2\/3, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187040473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141923 is divided by 750?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*259744.\nAnswer: -779232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (125 - 960*y - 942*y + 1922*y)*(-4*y - 1 + 8*y + 3 - 2) as c + q*y + d*y**2 and give q.\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 + 61. Let m(u) = 100*u + 165. Let r(j) = -7*j - 12. Let i(y) = -4*m(y) - 55*r(y). Determine i(g(p)).\nAnswer: 30*p**2 - 915","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 236136 - -223?\nAnswer: 236362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 + -8 + (-2 - -4) - -11.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-73)\/(250390\/28).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 0 + (-209)\/(-133). Factor 4\/7*i**2 + 0 + q*i.\nAnswer: 4*i*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/20*-2)\/(12078\/3355) - 1250\/(-24)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/272 and 47\/102?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*n**3 - 8*n + n + 9*n to the form t*n**3 + u*n**2 + g*n + r and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h**3 - h**3 - 42 + 39)*(-h - 2*h + h) + (196 + 1230 + 110)*(-3*h**4 + 6*h**4 + 0*h**4) as i*h**4 + l*h + f*h**3 + j + t*h**2 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**2. Let j(n) = -n. Let v(y) = -y. Let k(d) = j(d) - 2*v(d). What is k(z(b))?\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -11. Let q(c) = 5*c**2 + c + 1. Let n be q(l). Solve 5*p - n = 0, -6*h - 6 = -2*h + 2*p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 42 = 6*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 414 - 411. What is the third derivative of 127*p**2 - 86*p**2 + 64*p**2 + 123*p**2 + 23*p**s + 14*p**2 wrt p?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 31*a + a**3 - 31*a. Let r(x) = 40*x**3 + 11*x**2 + 1. Let y(l) = -3*p(l) + r(l). What is the third derivative of y(m) wrt m?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 2*i + 6, -4*i + 5*i = 4*o - 15. Factor 4*s**4 + 415*s**2 - s**4 - 412*s**2 + 9*s - 9*s**o - 6.\nAnswer: 3*(s - 2)*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -2) + 4 - -2. Suppose 0 = -90*w + 61*w + 53*w - 840. Let t(h) = -30*h**3 + 35*h**2 - 35. Let l(n) = 5*n**3 - 6*n**2 + 6. Give s*t(g) + w*l(g).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - 130\/3. Let p = -1333\/11 + 121. Put r, 2\/17, p in decreasing order.\nAnswer: 2\/17, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - -2. Suppose -17*y + 28 = -g*y. Suppose -k + 375 = y*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7\/113 + 3375\/1582. What is the common denominator of (5 - (-35)\/(-38))*3\/(-10) and w?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + m**2 + 2*m. Let d be z(1). What is the nearest to d in -2, 1, -5, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - (2 + sqrt(175) + -1)) + (sqrt(175) - sqrt(175)*-1)*-4)**2.\nAnswer: 80*sqrt(7) + 11201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6248*m - 2667672 = 5277*m + 10063*m + 10816*m for m.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102 and 519.\nAnswer: 17646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -11258?\nAnswer: -11261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.95482333 - 237.95495033. Let p = 233 + z. What is p rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 79*a**9\/252 - 11*a**7\/210 + 4*a**5\/5 + 1526*a**2. Find the third derivative of n(q) wrt q.\nAnswer: 18960*q**3 - 264*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66330 to the power of 1\/2, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.81 - -0.19. What is the closest to 2\/7 in o, -0.3, -2\/529?\nAnswer: -2\/529","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -342*r**4*z**3 - 44*r**2*z**3 + z**3 - 3 wrt r?\nAnswer: -8208*r*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 23, -30, -0.03?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 15*l**2. Let m(u) be the third derivative of 35*u**4\/24 - 106*u**2 - 2. What is m(k(p))?\nAnswer: 525*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7732 - -7735. Solve 0 = -z*p - 4*d + 11, -5*p - 4*d = -d - 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 - 260*m**3 - 21412*m**2 - 539328*m.\nAnswer: -m*(m + 48)*(m + 106)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*c - 2. Let w = 263 - 266. Sort 0.2, w, c in descending order.\nAnswer: c, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 4*d - 27 = 0, 32 = -5*n - 5*d - 8 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 12. What is the nearest to -4 in i, 2\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3211695.25 to the nearest ten thousand.\nAnswer: -3210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*h**3 + 192*h**3 - 56*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -31. Suppose q - 7 - 5 = 5*k, s = -2*q + 4*k + 12. Suppose f = -c + 86, -c - c - q = 0. List the prime factors of f.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 divided by -37984.\nAnswer: -45\/18992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/50 + 59\/150. Let s(y) be the second derivative of -r*y**3 + 0*y**2 + 0 - 4*y + 1\/6*y**4. Find the second derivative of s(l) wrt l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2092590815.\nAnswer: 5, 7, 829, 10303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 - 157. Let f = w + 76. Suppose 2*p + 0*n - 18 = 2*n, 3 = 3*n. What is the highest common divisor of p and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 12, 8, -5, -7 in decreasing order.\nAnswer: 12, 8, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 5*x + 27, 174*h - 2*x = 178*h - 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times -15474?\nAnswer: 232110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -1. Suppose 2*r = -5*x - 14, -x - 6 = 2*x + g*r. Let u be -1*4*(-2)\/x. Which is bigger: -0.1 or u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1960 - -1960.3. What is the second smallest value in g, -1\/5, 0.0028?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + w - 8. Let b be v(0). Does -9 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 u when four letters picked without replacement from {m: 6, u: 7}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-20)*5\/2. Is (-26 + 540)*(-1)\/d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.16094 millilitres to litres.\nAnswer: 0.02716094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 15937.9 to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21355165 + -1?\nAnswer: 21355164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/83904 and -55\/6.\nAnswer: 83904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2 + 288*g + 20736 = 0 for g.\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6622\/(-559)*30\/120*-13.\nAnswer: 77\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23\/3 of a week?\nAnswer: 1288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 k, and 1 j when four letters picked without replacement from kfhfhfffkfkfhhhj?\nAnswer: 9\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -100*c**4 + 12536020*c**3 + 10028864*c**2 + 2005776*c = 0. Calculate c.\nAnswer: -2\/5, 0, 125361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 3*v = -9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 42, 62, 124, 252, 470, 802, 1272?\n\"Answer: 4*k**3 - 3*k**2 + k + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 506431379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**2*r*z + 3*f**2*r - 255*f**2 + 44*f*r + 2*f*z wrt f.\nAnswer: 4*r*z + 6*r - 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from ydcdndcddcddccddcdd?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, d: 3, l: 2, w: 9}. Give prob of sequence dfl.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 5 + 11 + w + 2 to m + z*w and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -12*z + 173. Give o(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.99291313 to 2 dps.\nAnswer: 1.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(2\/(-2))*(-27 - -28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-seven thirds of a century?\nAnswer: 26800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2960)\/4810)\/(72\/(-2496))\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2953.000162 + 2953. What is c rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 45*w**3 + 5*w**2 + 5*w + 1. What is b(-1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j - 44. Let a(g) be the second derivative of 2*g**2 + 9*g. Calculate -44*a(c) - 4*f(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5)\/u*u*u)**39\/(u\/(u\/(u*u**(-1\/4))))**15 assuming u is positive.\nAnswer: u**(867\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 312143\/7 + -44585. Factor 288\/7 - 40\/7*p**2 + z*p + 4\/7*p**3.\nAnswer: 4*(p - 6)**2*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 160?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**7*s*(s\/s**(-5))\/s)\/(s**(4\/7)\/(s\/(s*s**4))))\/((((s*s**(-2\/3)\/s)\/s*s)\/s)**(1\/22)*(s*s**(1\/3))\/s**(-2)) assuming s is positive.\nAnswer: s**(2389\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11067*g**5 - 2*g - 2598 wrt g?\nAnswer: 221340*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -37 - 38. What is the lowest common multiple of 15\/g - (5 + (-215)\/25) and 62?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, d: 2, c: 1, e: 1, j: 1, l: 1}. What is prob of sequence lp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11873875 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 778709.9 millilitres in litres?\nAnswer: 778.7099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*t - 3, -2*r = t - 4*t - 9. Suppose 2*l - 3*f = 12 - r, 3*l + 5*f - 61 = 0. What is the remainder when 15 is divided by (l\/(-5))\/(12\/(-40))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2249)\/(-656708)*(-10)\/4*(-24)\/30*2?\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 153054 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + g + 11. Let u be v(0). Let a(t) = t**3 - 6*t**2 + 6*t - 3. Let o be a(5). Suppose -y + u = o. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 - ((-24 - 45) + 34).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c - 13*c = -185755 - 435947. What is the ten thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 27*h**5\/10 + h**3\/2 + 19*h**2\/2 + 580*h. What is the derivative of c(q) wrt q?\nAnswer: 162*q**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*z - 4 = 0, u - 13 = 4*z - 9. Sort u, 10, 1, -13 in descending order.\nAnswer: 10, u, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 2*c + 2*c)*((3*c - 5*c + 3*c)*(5 + 4*c - 5) + 3*c + c**2 - 3*c).\nAnswer: 10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 3) + -1 + 9. Suppose 3*v - 3*t + q = 0, 3*t - 10 = -v - 2*t. Which is greater: 2 or v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10258?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - c - 4*l - 18, 0 = -c + l - 24. Let n = 14 + c. Let z be -3 - -6 - 1 - -3. Sort n, z, -3.\nAnswer: n, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3 + 0*u**3 - 2*u**2 + u**3 - 2*u - u**2. Calculate the lowest common multiple of t(4) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 5686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 2184*l**3 + 89 - 22 - 24.\nAnswer: -2184*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(56)\/(sqrt(63)*-5))\/(4*sqrt(108)\/sqrt(3)).\nAnswer: -sqrt(2)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6db8d5 (base 16) in base 6?\nAnswer: 414042245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32.9 + 31. Let k = 2 + h. Which is the nearest to -2? (a) -4 (b) k (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 14*k - 33. Let o be r(4). What is the third biggest value in 0.2, -10, o?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + 18*p - 5 + 5 - 20*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -w + 6, -4*w - 5*s + 18067 = 18065 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*(x**0\/x)\/x)*x*x*x**(2\/9)*x*x\/(x**1*x)*(x**(1\/6)*x)\/x*x**(-1\/4)*x**(2\/7)*x**(-3\/5)*x*x assuming x is positive.\nAnswer: x**(7339\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 2:44 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 10*q**2 - 9*q - 12. Let m be l(9). Let r = 14 + m. Solve 0*s + 2*s - 4 = -5*n, 3*s = -r*n + 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5 + 654*q**4 + 57737*q**3 - 194992*q**2 - 1451964*q - 1672496 = 0. What is q?\nAnswer: -548, -109, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40\/51 + -2\/17. Let m = 0.05 + 5.95. Let q = m + -4. Which is the nearest to q? (a) 5 (b) f (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199167 is divided by 48?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -26d (base 14) in base 11?\nAnswer: -405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43045 - -71466. List the prime factors of o.\nAnswer: 97, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12853 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29547073 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -2. Suppose 2 = -4*g + 3*g + x, 0 = -3*g - 3*x. Put 0.1, g, 2, a in decreasing order.\nAnswer: 2, 0.1, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -229093 (base 13) to base 8\nAnswer: -3100621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 2*o + 10, 6*o - 4*o + 5 = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.15 - -2.85. What is the biggest value in 4, o, 0.5, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + (0 - 3))*-1. What is the third derivative of -5*b**s - 3*b**2 + 12*b**2 + 15*b**2 - b**4 wrt b?\nAnswer: -144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22775 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*t + 16*t + 6*t.\nAnswer: 48*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1266916ml in litres?\nAnswer: 0.0001266916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3\/9 + 3048809*o**2\/9 - 30488015*o\/9 + 76219975\/9 = 0 for o.\nAnswer: 5, 3048799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46851 minus -41.708?\nAnswer: 46892.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**3\/6 + 67*h**2 - 75*h. Differentiate v(t) with respect to t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*k - k**2 + 0 - 40 + 7*k**2 - k**2 = 0. What is k?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17, -30, -83, -200, -405, -722, -1175, -1788?\n\"Answer: -4*y**3 + 4*y**2 + 3*y - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 225 and 45?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 364*u**2 + 321*u**2 + 99 - 2*u - 48.\nAnswer: 685*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -7\/5, 6, 0, 5 in descending order.\nAnswer: 6, 5, 0, -0.1, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-4\/3)*x\/x**(1\/12)*(x**(-9)\/x*x)\/(x*x**0) assuming x is positive.\nAnswer: x**(-125\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(2\/3)*y)**(-2\/3))**(-5\/3))**46)**(-2\/47) assuming y is positive.\nAnswer: y**(-4600\/1269)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2046 (b) 0.031 (c) -0.5 (d) 0.04 (e) 0.1 (f) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1380 (base 9) to base 8\nAnswer: -2024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4120*o + 8530*o - 4194*o to the form c + k*o and give k.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/1 + 2)*-1. Let p be 3*u + (-16)\/(-4). Does 9 divide 105*(-3)\/(-9)*p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 6*p**2 - 2*p + 4. Let w be o(7). Suppose 2*y + w = -y. Let v = y - -20. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 2:25 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 7*r**2 - 5*r + 1. Let q be z(6). Let c(k) = k**3 - 7*k**2 + k - 5. Let i be c(q). Solve -4*p = -i*p + 5*v - 16, -p + 6 = 2*v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/22))**(-5\/3) assuming m is positive.\nAnswer: m**(-5\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14137308 divided by 785406.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/13518479 and 57\/76219?\nAnswer: 148703269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-3))\/(78\/(-351))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1525788 and 103\/26955588.\nAnswer: 80866764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 58980*h**3 - 1 - 5 + 6 - 58986*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 8:31 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 6*p - 7. Let v be t(3). Solve -m + 7*o = v*o - 17, -3*m + 7 = -4*o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1887, 1.\nAnswer: -1887, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 293379 (base 10) to base 16.\nAnswer: 47a03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/134 and -44\/7.\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -362 + 368. Solve -x*v + 2*v = 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 - 53 = 4*f. What is the units digit of (-3 - f\/(-6))*628\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16489*n**2 - 16388*n**2 + 221*n**3 - 218*n**3.\nAnswer: 3*n**3 + 101*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*w + 89 = -3*m - 2*m - 143, 3*m + 0*w + 40 = 5*w for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-28\/9)*c\/c**(-1\/11)*c*((c\/c**5)\/c)\/c*c*c**(1\/4)*(c*c*(c**3\/c)\/c)\/c*c*c**(-2)*c\/(c*c**(-1)) assuming c is positive.\nAnswer: c**(-1493\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*(-40)\/(-30).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/25 (b) 1 (c) 4\/5 (d) 1\/2 (e) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**3 + v**3 + v**3 + (-v + 5*v - 3*v)*(2*v**2 - 3*v**2 + 0*v**2) - 35 - 1763*v**3 + 1764*v**3 + 10 to l + o*v + w*v**3 + k*v**2 and give l.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.747039um?\nAnswer: 747.039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-3) - 1) + 4. Let l(s) = s + 3. Let i(r) = r**2 - 2*r - 4. Let a(j) = k*l(j) + 3*i(j). Find the second derivative of a(q) wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 13*g**2 + 11*g - 8. Let o be b(12). Let z = o - -24. Suppose -8*u + z*u + 112 = 0. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + 5*k + 708. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/24)\/(1750\/(-22400))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -750, -1514, -2282, -3054, -3830?\nAnswer: -4610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 0*g + 0*g)*(-4*g + g + g) + (-g + g - g)*(2 - 2 + 3*g).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -667 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1533469053?\nAnswer: 3, 43, 11887357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1395492 divided by 18858?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 3\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18259 is divided by 609.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5876*j + 194780 = -5154*j + 4463*j + 4554*j for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*g - v, 4*g = 5*v - 3*v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1372653*j*w + j + 2*w - 6234486 with respect to w.\nAnswer: -1372653*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12589739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0, 0.15, -4, -242, -125\/6.\nAnswer: -242, -125\/6, -4, 0, 0.1, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -163496182 - 713524.\nAnswer: -164209706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 6 = l + 5*f, 0 = -4*f + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -529*z - 111. Determine x(-1).\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 169, 373, 647, 985, 1381, 1829, 2323?\nAnswer: 2857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y + 202. Let r = -57 - -57. Is d(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1)**(-1\/14))**(3\/2)\/((k*(k**(1\/4)*k)\/k)\/k*k\/(k\/((k\/k**(-5))\/k)))**48 assuming k is positive.\nAnswer: k**(-7059\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/2)\/k**(1\/3)*k**(1\/13)\/k*k*k**(-3\/5)*(k**1)**(-32)\/(k**(-2\/3)\/k)**(-1) assuming k is positive.\nAnswer: k**(-4553\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzzwwwzzwzzwwwwzwww. Give prob of picking 2 z and 1 w.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 11*r + 185. Let n(j) = -16*j**2. Give f(n(y)).\nAnswer: -176*y**2 + 185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40408856.\nAnswer: 2, 5051107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 13*w + 115. Let g(o) = 7*o + 58. Let u(n) = 5*g(n) - 3*r(n). List the prime factors of u(-29).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n. Let f(h) = 494*h. Let x(p) = -3*p. Let j(v) = -f(v) - 114*x(v). What is j(g(u))?\nAnswer: 304*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u**3\/6 - u**2 - 200*u + 137. Let w(g) be the first derivative of j(g). Calculate w(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 137648 and 68824?\nAnswer: 137648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000272059639 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -295.035703 rounded to the nearest 10?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/12*-1*(2 - -8). Let k = -0.59 - -0.09. What is the nearest to t in k, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1244*y + 969*y - 385*y + 10870*y**2 wrt y?\nAnswer: 21740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 + 118. Suppose -o*g + 6*g = -1980. List the prime factors of g.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 2*w - 38, -4*o + 221022*w - 221025*w + 51 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 1\/(-10)*12*-10.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*m**3 + 7*m - 7*m + (4*m**2 - 5*m**2 + 2*m**2)*(-m + m - 10*m) to the form f*m + h*m**3 + v*m**2 + k and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -84394?\nAnswer: -84394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*y - 3*z - 1167 = 0, 4*y - 24 = 72*z - 73*z for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -413*y**2 - 404*y**2 + 818*y**2. Let r(h) = 15*h. Determine z(r(c)).\nAnswer: 225*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 divided by 16578.\nAnswer: -44\/8289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 200617?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 0*q + 2*q + 24, 5*s - 36 = -2*q. Calculate the highest common factor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73*b**4 + 15*b**4 + 183*b**4 + 23*b**4 - 15*b**4 + 2825 with respect to b.\nAnswer: 532*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddljdjjjjj. Give prob of picking 1 l, 1 d, and 2 j.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*m**2 - 74*m**2 + 3*m**2)*(2 + 2 - 3) + 0*m**2 + m**2 + 5*m**2 as d*m + j + h*m**2 and give h.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -98.6402 to 1 dp.\nAnswer: -98.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/17, -2\/9, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 14296*u + 157211. Determine t(-11).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*(-2310)\/(-2772)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -15*z + 30. Let c be (8\/6)\/(((-4)\/z)\/(-2)). Solve 6*r - 8 = 2*m + 5*r, 18 = -c*m + r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 192 - 61 + 72*m**3 + 67*m**3 wrt m?\nAnswer: 417*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 1545160.\nAnswer: 11\/772580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 9:49 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -62155 (base 8) to base 9\nAnswer: -38235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 630 + 116. Let o = -2983\/4 + p. Factor o*i**2 - 1\/4*i + 0 + 1\/4*i**3 - 1\/4*i**4.\nAnswer: -i*(i - 1)**2*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/(3\/18). Suppose 0 = 2*n - 3*m - 70, 2*n - 4*m = -v*m + 70. What is the remainder when n is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*z - 5*z, -2*b + z = -2. Solve -b*w = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 3 = -11*r + 13*r, 0 = -4*r + c - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rara when four letters picked without replacement from rararrrr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1161, 2274, 3387, 4500, 5613?\nAnswer: 6726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2350 divided by -5\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1587*t**3 - 2066481*t**2 - 6457320*t - 5050512.\nAnswer: -3*(t + 1299)*(23*t + 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*u + 59*u = 2875. Solve -5 = 22*p - u*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 19*f**2 + 3*f + 31. Let j be ((-30)\/(-105) - (-18)\/(-14))*10. Is p(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.7 - 4.93. Let y = j + 0.03. Sort -5, y, -0.4 in increasing order.\nAnswer: -5, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2715*y + 2665*y + 100. Suppose -i = 2*i - 12. Solve -2*f = 2*r + i, -3*f - y = -8*f - r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - g + 71 = 0, v - 3*g = -12 + 63. Suppose -3*s + 4*m = -2*s - 6, 3*s = -4*m + v. Calculate the common denominator of -27\/16 and (-107)\/10*(-30)\/s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232 divided by 6.\nAnswer: 116\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-295)\/(-20) + 2 + (-6)\/8. Suppose -b = -3*u - 694. Is u*(-4 + 14\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11 + a - 3 - 3 + a**2 - 7.\nAnswer: (a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1027286 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**2 + 497310*f - 30324747 = 0.\nAnswer: 61, 165709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 4:23 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1180, -9459, -31924, -75667, -147780, -255355, -405484?\nAnswer: -605259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, l: 4, o: 1, g: 2, n: 1, p: 1}. Give prob of sequence nog.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 22*a - 10*a - 3*a - 8*a in the form i*a + w and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (3 - (-4 - -3)) - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1199171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3432\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/7, 1, -1\/30, -12\/7, -32?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19062\/(-15885)*(-170)\/(-12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.89, 33, -5099?\nAnswer: 1.89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 4*r - 44, -r + 3*p + 0 - 9 = 0. Calculate the least common multiple of r and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9255814 and -10.7.\nAnswer: -9255824.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*y - 7*y, 0 = -5*h - 3*y + 260. Which is smaller: h or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.87 - -5.67. Which is the closest to p? (a) -2 (b) -1\/18 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 5. Let w be v(21). Is w at least 49\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 10*o - 13. Let y be b(2). Let c(r) = -3 - 5 + 34*r - 13*r. Is c(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 29248\nAnswer: 116992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*l + g, 68 = 3*l + 2*l + 4*g. Suppose 295 = -2*k + 3*b, 0 = 5*k + 2*b + 75 + 653. What are the prime factors of k\/(-12) - 2\/l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5445 + 5444.922. Which is smaller: -9 or l?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3063*g**3*h**3 - 6*g**3*h**2 + 8*g*h**3 - 6*h**3 - 56981*h**2 wrt h.\nAnswer: -18378*g**3 + 48*g - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 0*f**3 + 0*f**2 - 3 - 9*f + 7*f**2 + f**3. Let b be i(-8). Suppose 0 = -g - 3*k - b, -4*k + 0*k = 2*g + 6. Solve -z - g = -r + 3*r, -2*z = 3*r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p**3 + 2*p**2 + 3*p - 2. Let s be d(-2). Let c = s - -44. Let v(i) = -i**3 + 6*i**2 - 7*i + 6. Let g be v(c). Solve 1 = -t, 2 = 3*q - t + g for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 2337*l + 14068. What is i(-6)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 132208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 544203679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 89.03 and -0.2?\nAnswer: -17.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + x + 1. Let k(f) = -f + 1. Let s(v) = a(v) - 4*k(v). Let d be s(5). Sort -5, 8, d.\nAnswer: -5, d, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 1841 = -4*d, 0*i = 5*d - i - 2287. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 6763 - 463. Calculate the highest common factor of q and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000590623 rounded to six decimal places?\nAnswer: 0.000591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 + 2*b - 5. Let n be p(2). Suppose -u + 3*x + 114 = 0, 3*u + 12*x - 372 = n*x. Which is smaller: 127 or u?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0*v - 2*t - 17, -4*v + 28 = -4*t. Suppose y + 5*w - 34 = 0, 5*y = 4*w - v*w + 274. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 75*i**3 - 10607*i**2 + 4229*i - 417. Let l(m) = 975*m**3 - 137892*m**2 + 54975*m - 5418. Let t(x) = 2*l(x) - 27*q(x). What is h in t(h) = 0?\nAnswer: 1\/5, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -8*n**2 + n + 1. Let a(q) = -q**2 + 5*q - 4. Let w be a(3). Let g be h(w). Let v be g\/(-50) - (-1)\/(-2). What is the closest to 2\/3 in -0.3, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26\/25 - -236\/275. What is the common denominator of -89\/4 and d?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 12. Let k = f + -9. Let c(b) = -2*b + 4. What is c(k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**1\/s))**4)**(-20)\/((s**(2\/7)*s)**46\/((s\/(s*s**3\/s))\/s*s\/s**(1\/2))) assuming s is positive.\nAnswer: s**(-1983\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2572143467 to the power of 1\/2, to the nearest integer?\nAnswer: 50716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43932 + 1197*n + 43932 + n + 4*n - 3*n + (1 - 1 + n)*(-1 - 2 + 4).\nAnswer: 1200*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385 is divided by 199.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6464 - 24*j**2 - 6464 - 69*j**2.\nAnswer: -93*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10410036 to the nearest integer?\nAnswer: 3226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.3 + -134.7. Let k = y - -151.7. Let t(z) = -5*z - 1. Let q be t(-1). Which is the nearest to q? (a) k (b) -0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 58 - 16 - 29 - 44.\nAnswer: -2*f - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*((-1)\/(-1) + -23). Let r be ((-4)\/o)\/((-2)\/(-4)). What is the smallest value in r, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2. Let p = 82 - 75. Let l(u) = -20*u**2 + 9*u**2 + p*u**2 + 10*u**2. Determine i(l(r)).\nAnswer: -72*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 22 + 62 = 0. Sort i, 0, 4 in increasing order.\nAnswer: i, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/4*((-13)\/(-30))\/13?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5\/105)\/(-1))\/(2\/(-12))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 3*k**2 - 6*k - 7. Calculate h(6).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + -1 + 43 + (89 - 145)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*((-6)\/3 + 1). Is -2 + 6\/t*-10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8*4\/8)\/((-9)\/237). Let t = g + -106. Let l = 0.9 + 0.1. Put t, l, 7 in increasing order.\nAnswer: t, l, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -245 + 123 + 126 + 36*f**2 in the form y*f**2 + r + n*f and give y.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 14*a**3 - a**2 - 6*a + 1. Let k(d) = 15*d**3 - d**2 - 7*d. Let m(z) = -2*k(z) + 3*r(z). Let j be m(-6). Let i = j - -4580. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 13*g - 97. Let v be o(10). Suppose 9*l - 39 = v. Solve 2*t - l = 4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/28 - (-3000)\/2400\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - 2*m - 4*m**2 - 11*m**2 + (15*m**2 + 30*m**2 - 27*m**2)*(-5 + 3 + 0) + 3*m**2 - m + m.\nAnswer: -48*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2409490 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -13*v**2 - 9*v - 3. Let u(l) = 13*l**2 + 8*l + 3. Determine -5*p(k) - 6*u(k).\nAnswer: -13*k**2 - 3*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 0*c**4 + 0*c**3 + 4*c**2 + 1\/15*c**5 + 1\/20*c**6 + 0 + 0*c. Find the third derivative of s(y) wrt y.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5755*-9.\nAnswer: 51795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/6196161 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -1 - 4. Let v(z) = -25*z**2 + 10*z + 13. Let t(x) = -11*x**2 + 4*x + 6. Let m(n) = 9*t(n) - 4*v(n). Determine m(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1142*v + 1086*v + 42 = -238 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + m + 119. Suppose 0 = -4*t + 5*t. Does 10 divide z(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + sqrt(2700)*2)\/sqrt(9).\nAnswer: 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {b: 4, i: 15}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 0*c = -66*m + 330, 14*m - 10 = 5*c + 55 + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -29897 (c) 0 (d) -1 (e) 58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/75757231 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1576)\/(-591)*3\/(-14))\/(32\/4592).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1598332 minus 86?\nAnswer: -1598418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.1, 19, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24121*26.\nAnswer: 627146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**2 + 13698*q - 15636267 = 0 for q.\nAnswer: 2283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6858*u - 767913. Determine k(112).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -94.9144 from 1125320.5.\nAnswer: 1125415.4144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**2 - 5*p. Let k(m) = -m. Suppose 2*x - 48 = -4*x. Suppose 0 = -8*a + x. Let c(v) = a*s(v) - 5*k(v). Let i(l) = 3*l**2. What is c(i(w))?\nAnswer: -45*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -99\/4084?\nAnswer: -99\/4084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14107390*w**5 + 2251308*w wrt w.\nAnswer: 282147800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -532*w**2 - 951*w**2 - 1300*w - 1402 + 1402 wrt w?\nAnswer: -2966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 93 = 5*h - 30, -3*h + 5*z - 21 = 0. Let m = h + 16. Suppose -j - 156 = -2*p, 69 = -m*p + 5*p - 5*j. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(176) - ((sqrt(176) + sqrt(176)*2*4 - sqrt(176)) + sqrt(176))) + sqrt(176) - sqrt(176) - (-2 + sqrt(176))*5))**2.\nAnswer: -4160*sqrt(11) + 119376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -238\/65 in 1, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15054 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2576*a**3 - 207. Let p(t) = 25*t**3 - 2. Determine 2*f(b) - 207*p(b).\nAnswer: -23*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6*20\/(-6))\/(135\/(-1782))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152640 divided by 848.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -7. Let x be -4*z\/(-1 + -2). Suppose -j = -1, -3*j = 6*p - 2*p - 3. Solve -x*v = -p*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3033 at most as big as 3036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*m = 244 - 880, 5*m + 1472 = -7*p. Which is smaller: -215 or p?\nAnswer: -215","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-7) - (-2 - 0). Let o be (-5 + m)*-1 - 1. Suppose -15 = 3*i + o*i, -84 = -3*j - i. Does 21 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 6 = -3*u. Let m be 2\/1 + -3 - 0. Let g be (-2 + 2)\/(1*m). Put u, g, -2 in ascending order.\nAnswer: u, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**3 - 21*s**2\/2 + 7*s + 12 = 0.\nAnswer: -3\/4, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 120, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 - 4*q + 8*q - 24 + 65 + 36 + q**3.\nAnswer: q**3 + 4*q + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 + -0.8. Let g = 0 - 0.7. Let h = g + 1. Which is the third smallest value? (a) h (b) m (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**4\/9 + 38*c**3\/27 + 8*c**2\/9 - 2*c + 1393. Factor w(r).\nAnswer: 2*(r + 1)*(r + 9)*(2*r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3*(-18)\/(-2). Let d(t) = -23 - 5*t + 25 + 8*t. Let b(o) = 10*o + 7. Determine m*b(f) + 21*d(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8082 or -8118?\nAnswer: -8118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -13104.098 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2125 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22\/75 - 1\/25. What is the third smallest value in w, -0.4, -1.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 14*s**2 + 21*s + 24. Give g(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5163 or -5167?\nAnswer: -5163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 697, 700, 701, 700?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60025)\/(-76832))\/(3\/((-18)\/(-5)))?\nAnswer: 15\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (10 + -34 - -11) + 5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 12:30 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 18, 935289 in decreasing order.\nAnswer: 935289, 18, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**4\/12 + 2*y**3 - 71*y**2\/2 + 19*y. Let g = 103 - 69. Calculate the remainder when g is divided by q(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 17*g**2 + 18*g - 23. Does 6 divide r(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.16 + 0.08. Let v = o + 0.3. Let q = -0.5462 + v. What is q rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 - 1.4. Let n = -3 - m. Let s = -5 + 4. Put 5, n, s in decreasing order.\nAnswer: 5, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*t + t + 3*m, -2*t = -5*m + 25. Put t, 1, -4 in increasing order.\nAnswer: -4, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*p - 178 = 0, -5*p = 4*y - 0*p - 156. Solve 5*l = -14 + y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11134256 a multiple of 774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-8)*i))\/(i\/(i\/((i\/(i\/((i**(1\/6)*i*i)\/i)))\/i))*i) assuming i is positive.\nAnswer: i**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7142, -14253, -21364, -28475, -35586, -42697?\n\"Answer: -7111*r - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 20 = 5*s. Calculate the remainder when s is divided by ((-8)\/(-10))\/(2\/5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -426*d**3 + 2*d**2 - 1. Let v be -6*1\/2*3. Let y(c) = 2*c + 17. Let b be y(v). Is g(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**8\/112 + 13*g**7\/105 + 9*g**6\/40 - 14*g**5\/15 + 351*g**2. Factor r(y).\nAnswer: y**2*(y - 1)*(y + 7)*(3*y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 799012, 1598037, 2397062, 3196087, 3995112, 4794137?\n\"Answer: 799025*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 66 (b) -24 (c) -161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 396 = -4*v - 9*v for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 14 (b) 130\/11 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 8:21 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/150*-5*462\/539)\/(7\/1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -157*(2\/(-14) - 16\/(-14)). Let o = r - -289. Is o a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*k - 142*k + 43*k - 449 + 55*k.\nAnswer: 2*k - 449","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - o**3 - 2*o**2)*((-5 + 2 + 0)*(2 - 3 + 0) - 14 - 18 + 12).\nAnswer: 17*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 505 - 14?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/18 and ((-123)\/(-34))\/(24 - 27).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7712280*o**3 + 171*o + 73 wrt o.\nAnswer: -46273680*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2402*n - 12849 - 37955 = 100522 for n.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 2*n - 49. What is the smallest common multiple of n and 12\/(-14)*(4 + -11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 7\/(133\/38*(-2)\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/(-44) - (-2)\/8. Suppose 4*n + w*n = 572. Suppose -2*z + 213 = n. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 4234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -53. Suppose 2*r - s = 3*r. Let n = -5 - r. What is the remainder when n is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395649 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*a**2 + 13*a**2 + 11*a**2 + 3*a**2 - 4*a**2 + 2*a**2 + (0*a + 4*a - 5*a)*(0 - 2*a + 0) as z*a + t + o*a**2 and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1149484, 1149596, 1149706, 1149814, 1149920, 1150024, 1150126?\nAnswer: 1150226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 8 = -2*p. Suppose 3*u - 5*u - p*o + 18 = 0, -2*o = 0. What is the highest common divisor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*i + 79*i - 5*u - 8 = 0, 0 = -4*i + 5*u + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l - 6 - 5*l + 2. Let y be q(-3). Suppose -7 - y = -r. What is the remainder when 34 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17020000 rounded to the nearest one hundred thousand?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/(l\/l**(-4)))\/l*l*l**(2\/3)*l\/l**(-1\/6)*l**1\/l assuming l is positive.\nAnswer: l**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7917308?\nAnswer: 2, 7, 17, 16633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157944*c**3 + 3 - 157963*c**3 - 3.\nAnswer: -19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14264 - -27817\/2. Let r = 356 + h. Factor -r*s**2 + 1\/2*s + 0.\nAnswer: -s*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19\/3 + -199\/30. Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y + 4. Let l = -10 - -14. Let i(m) = -6*m + 3*m + l*m - 3*m + 2. Calculate -13*i(w) + 6*k(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6439532219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -158866041, -1 in ascending order.\nAnswer: -158866041, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1\/74 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, p: 5, w: 3}. Give prob of sequence wwpw.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2 - g - 1. Let y(d) = -d**2 + 1. Let k(w) = 6*w + w**2 - 3*w**2 + 3*w**2 - 6. Let q be k(-7). Let t(b) = q*y(b) + j(b). Give t(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6340*y - 2127*y - 2121*y - 2110*y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 - -30. Let y = -23 - c. Find the third derivative of -6*s**y - 20*s**3 - 13*s**2 + 4*s**3 wrt s.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75932)\/5084 - 45\/(-3)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 260 and 349570?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h - 3*h + h + (75 + 2*h - 75)*(-5 + 2 + 2) + 10*h + 0*h + 4*h to q + l*h and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1280) + 4 + (sqrt(1280) + -1 - sqrt(1280)) + sqrt(1280) + 5 + ((sqrt(100)*2)\/sqrt(5))**2.\nAnswer: 32*sqrt(5) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a - 3*a - 3 + 4. Let d be t(-2). Let m(k) = -k**2 - 8*k + 4. Does 10 divide m(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14250 divided by 6\nAnswer: -2375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2317391ng in kilograms?\nAnswer: 0.0000000000002317391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/6*(20 - 2) - 3. Suppose 2*o = -2*s - s + 1, -s + 4 = -b*o. What are the prime factors of ((-6)\/9)\/(-2*s\/741)?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 514437 + -662594813\/1288. Find the common denominator of d and 61\/966.\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 divided by 4379.\nAnswer: -65\/4379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9\/2 (b) -0.5 (c) -2\/5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 - 1. Let l(y) = 180*y**2 + 90. Give 3*l(g) + 270*x(g).\nAnswer: 1350*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7922\/18640 + (-14)\/5 + 2)*-2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2*sqrt(204)*-1 - sqrt(204))\/sqrt(12)*-5)**2.\nAnswer: -60*sqrt(17) + 3829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) - (sqrt(272) + -1))**2 + sqrt(170)\/(sqrt(50)\/sqrt(5)) - (-4*((sqrt(425))**2 - sqrt(17)) + 3).\nAnswer: -3*sqrt(17) + 1698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 29, 54, 95, 158, 249, 374?\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8110 divide 81570380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4321 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85.3 - -84. What is g rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 32*h**2 - 9*h - 665. Let o(s) = -25*s**2 + 7*s + 499. What is -9*o(a) - 7*t(a)?\nAnswer: a**2 + 164","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*s + 8 = 0. Let c(l) = -l + 1. Let n be c(-2). Suppose n*w = -2*g + 291, -2*w + 5*w - s*g - 291 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*n**2 - 11*n**2 + 131*n**2 + 23*n**2.\nAnswer: 207*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(196) - 1*2*sqrt(196))\/(sqrt(63)\/(sqrt(27)\/sqrt(3) + sqrt(9))))**2.\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -c + 0*c - c + 22 as a + n*c and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 27*m**2 + 26*m + 60. Let r be o(28). Suppose -p - 4*t = -0*t, 2*p + 2*t - 6 = 0. Is (22\/p)\/(r\/88) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*o + g - 2100, 3*o - 2085 = g. Let u be (2\/(-3))\/((-42)\/(-23121)). Let v = u + o. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -2c1?\nAnswer: 2c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 9*d**2\/2 + 77. Let c(z) = 2*z. Calculate u(c(a)).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-224)\/252)\/((-40)\/(-36)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20079 is divided by 300?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + 2 - -4 - (-471 - -460)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d + 12. Let g be (-264)\/42 + 6 + 186\/14. Suppose 70 = 3*j - g*j. Let m be l(j). Put m, 19, 3 in decreasing order.\nAnswer: 19, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x - 12. Let c(w) = 36*w - 14. Let a(n) = 59*n - 27. Let p(f) = -3*a(f) + 5*c(f). What is 3*b(q) + 4*p(q)?\nAnswer: 3*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/6 + 3\/1. Let t(q) = -3*q**2 + 12*q + 2. Let z be t(i). Solve -5 = -7*b + z*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1061*v**2 + 2272*v - 299. Calculate n(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 197 and 2210340?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 108*q**3 + 756*q**2 - 21*q - 152. Give j(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 1 - -1 - -4. Suppose -2*y = d + 1, -d - 3 = -m*y + 5. What is the units digit of d\/(-2)*(-4)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, 4\/3, -2, 14, 67?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2818 (base 9) to base 14.\nAnswer: ab9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*o + 414 = 3*o. Sort o, -5, 3.\nAnswer: -5, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/((1610\/(-510))\/161)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(3\/10)*w)\/w)\/(w\/(w*(w**(4\/9)*w)\/w)))\/(w**(-9)\/((w*w**10)\/w)) assuming w is positive.\nAnswer: w**(1867\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u + 4. Let k(z) = -19*z - 13. Let w = 30 + -32. Give w*k(f) - 7*v(f).\nAnswer: -4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w + 4 = 19*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 15, -52*k + 51*k - 7 - 4 = -2*q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-72 + 8 - 44)*(-n**2 - 2*n + 2*n) to f + t*n**2 + m*n and give t.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and -75.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9010936375?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v + 30*v = 4*a - 109588, 5*a + v - 136985 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o. Let d = 21\/1066 + 15893\/31980. Let j(k) be the third derivative of 0*k**3 + 0*k**4 - 18*k**2 + 0*k + 0 - d*k**5. Give j(q(r)).\nAnswer: -124*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.738 - -2.838. What is the closest to r in -0.1, 28, 2, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 1\/2*p**4 + p**2 + 0 + p**3 - 3*p + 1\/20*p**5. Give h(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from {j: 2, i: 4, b: 3, w: 1, p: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p + 4. Let h(v) = -v - 1. Let i(m) = -m**3 + 7*m**2 - 5*m - 2. Let b be i(6). Let k(a) = b*h(a) + g(a). Let t(n) = 2 - 2*n - 2. Determine t(k(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 2*m**2 + 3*m**2 - m**2 - 3*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -496*r**2. Let c(d) = 163*d. Calculate c(k(s)).\nAnswer: -80848*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10812 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 300 - 12*q - 1090 + 790.\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -3)\/((-8)\/36). Suppose -2*h + 3*h + 2*g = -c, 5*h = -g. Let p(z) = z**2 - 2. Let v(s) = s**2 - 1. What is h*p(d) - 2*v(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22155.\nAnswer: 3, 5, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 8:28 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 45\/36*(-528)\/(-275)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -60*c**2 + 1310*c + 305. Give a(22).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 9*d + 5. Let u(o) be the first derivative of -4*o**2 - 4*o - 500. What is -4*a(s) - 5*u(s)?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -27, -4.\nAnswer: -27, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 49*q**3\/6 + 41*q. Suppose b + 2*g - 15 = 0, -b - 70*g = -73*g - 30. Let d(u) = 12*u. Calculate b*d(c) - 5*w(c).\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -17030330 - 0.4\nAnswer: -17030330.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 0 + -3 - 0. What is the hundreds digit of (3 + -5)\/k - (-1 - 173)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 230671909 to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - -8) + -25 - 11 - (-9 + 17)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 179.53 rounded to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140165143?\nAnswer: 140165143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -193 + 193.3. Sort 2, u, 0, -2\/11.\nAnswer: -2\/11, 0, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**3 + 24*u**2 - 16*u - 15. Let j = -312 - -319. What is the remainder when 69 is divided by s(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 462 and 742?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (-124)\/(0 - 4)*-437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 - 5*t**2 + 1 - 2.\nAnswer: t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*j**2*w**2 + 55553*j**2*w - j**2 + 8529*j + 2 wrt w.\nAnswer: -10*j**2*w + 55553*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*b - 4*b + b**2 - 49*b to the form z*b**2 + k + s*b and give s.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -5 (b) 0.044 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4817*p**4 + 6*p**3 - 12*p + 2647. Let m(z) = -9633*z**4 + 11*z**3 - 22*z + 5291. Let n(k) = 22*b(k) - 12*m(k). What is the derivative of n(i) wrt i?\nAnswer: 38488*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000281429 rounded to six decimal places?\nAnswer: -0.000281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 456 and 9648?\nAnswer: 183312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12010100102001 (base 3) to base 5\nAnswer: 1144114423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 9:41 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1084 - -4386. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23749, -23750, -23751, -23752, -23753, -23754?\n\"Answer: -p - 23748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1492357.5s?\nAnswer: 17.27265625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 1. Let o(x) = -5*x - 2. Let h(m) = 4*b(m) + o(m). List the prime factors of h(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 9*u + 4. Let g be i(-9). Suppose 0 = g*s - 4*y - 16, -s + 5*y - 4 = s. Find the second derivative of 15*a + s*a - 3*a**5 - 20*a wrt a.\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9)\/(658\/141)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2)*a*a**11)\/(a**(-2\/15)\/a**6) assuming a is positive.\nAnswer: a**(529\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from ufxxwxwwfxffmp?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1, -0.5, 3\/2, -53?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -376*o + 353*o - 276 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -342, -516, -690, -864, -1038?\nAnswer: -1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, -46, -5, 3\/2, 65, 3?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2780833?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2128815100 to the nearest one million.\nAnswer: -2129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38488834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/536898730 and 7\/53689873?\nAnswer: 536898730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -z**4\/4 - z**3 - 3*z**2\/2 - 2*z + 3. Let p be k(-2). Suppose p*m + 3*m = 30. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) -0.22 (c) 16724\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6849.607ug in grams?\nAnswer: 0.006849607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-90)*-3)\/(-4)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r. Let v(c) be the first derivative of c**3\/3 + 8. Calculate n(j) + 3*v(j).\nAnswer: 3*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 4:28 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -4, -17.\nAnswer: -17, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 13, 9, 1\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 67*c**4 - 10*c**3 - 133*c**2. Let f(k) = -34*k**4 + 4*k**3 + 67*k**2. Let w(b) = -5*f(b) - 2*o(b). What is the third derivative of w(h) wrt h?\nAnswer: 864*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 4*n. Let d = n - -12. What is the greatest common factor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -13. Let w(z) = -z**3 + 6*z**2 + 7*z - 2. Suppose 0 = -190*b + 4579 - 565 + 546. What is the lowest common multiple of b and w(d)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.627181mg in grams?\nAnswer: 0.000627181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1526\/85 or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 p when four letters picked without replacement from {p: 3, v: 3, z: 1, r: 5}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*q + 7 - 28 + 22 + 8*q**4 + 19 - 2*q**4 in the form x + d*q + f*q**4 + o*q**3 + p*q**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66 + 23. Let x = o + 65. What is the smallest common multiple of x and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from ppjppppjp?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 9505665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 7. Let r be ((-27)\/6)\/(v\/(-12)). What are the prime factors of 88\/(-10)*(-1 - (-9)\/r)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(448)*-1)**2.\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - w - 3*z + 27 = 0, 0 = -5*w - z + 79. Calculate the remainder when ((-9)\/w)\/(8\/(-1160)) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -47*v**3 + v**2 - 2*v - 2. Suppose 149 + 127 = -198*a - 78*a. What is j(a)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-5) + (-3 - -2). Factor 0 - 3\/5*s**2 + 0*s + n*s**3.\nAnswer: 3*s**2*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -6*p. Let x = 193\/78 - 30\/13. Which is smaller: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 - 189*d - 5 + 1.\nAnswer: -189*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228072*s**2 + 34 + 113976*s**2 + 114098*s**2 - 34.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 7*x**2\/2 + 71. Let s(p) = -7*p. Suppose 45*y - 25 = 50*y. Determine y*d(g) - 4*s(g).\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + (-322)\/28)*(0 - 1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 66*l**2 - 6*l - 12. Calculate the lowest common multiple of k(-1) and 420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffooff. What is prob of picking 1 o and 1 f?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 - 87 = -12*p + 76 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -625, -2095, -4955, -9667?\nAnswer: -16693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3210 - -12452. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3*(-3*sqrt(143)*2 - sqrt(143) - sqrt(143) - (-1*sqrt(143)*-4 + sqrt(143)))\/(-3*sqrt(891)*-3 - sqrt(891)))**2.\nAnswer: 5077\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2278 and 1142672?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-1 - 0\/1). Suppose 2*m - 17 - 1 = -4*i, 0 = m - 5*i - 2. Let l be (12\/m)\/(6\/21). What is the highest common factor of l and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/3, 10, 5, 198, -2116, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1736 - -319. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 354 + -371 - ((24 - 18) + (1 - 1))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22442640 or 22442630?\nAnswer: 22442640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -95*c**3 + 19*c**2 - 100*c - 61. Let q(t) = 16*t**3 - 3*t**2 + 16*t + 10. What is -2*i(z) - 13*q(z)?\nAnswer: -18*z**3 + z**2 - 8*z - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-18)*-6*(-5 - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + b - 1. Let c(r) = -2*r**2 - 9*r - 1. Give -c(x) + l(x).\nAnswer: 3*x**2 + 10*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksj. Give prob of picking 1 k and 1 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -13*v + 24*v. Suppose 46 = 2*c + 6*t - 4*t, -5*t = 15. Solve -c + 10 = v*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q - 4. Let h be p(8). Suppose -3*n - 4554 = -h*n. Calculate the highest common factor of 46 and n.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 18*p + 18. Let f be s(-1). Suppose 27*i - 8*i - 5985 = f. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -360.2.\nAnswer: 365.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -45510\/11 smaller than 1\/86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1265140 (base 7) in base 16?\nAnswer: 28e25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -51653 and -0.4.\nAnswer: -51653.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v - 4 = -13*v - g, -3*v - 4*g = 29 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Does 631 divide 1265721007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 + 74. Suppose 0 = -m*x - 24 - 18. Calculate the common denominator of -17\/24 and ((-6)\/(-14) + -1)\/(x\/(-13)).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -493*o + 757. List the prime factors of j(-9).\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (684\/(-10))\/(-3) - 6\/(-30). Let d = 95 - -20. What is the greatest common factor of d and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 530.39 - -1937551.\nAnswer: 1938081.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.972533.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -10*s**2 + 11*s - 9. Let g(o) be the second derivative of 0 + 1\/12*o**4 - 1\/6*o**3 + 1\/2*o**2 - 3*o. Let w(k) = -24*g(k) - 3*l(k). Factor w(h).\nAnswer: 3*(h - 1)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2260 (base 7) to base 6.\nAnswer: -3454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 44*q - 14 = 46*q, 0 = 2*a + q + 16 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-132)\/27)\/(-11)*1368\/((-38)\/1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 27*t**2 + 23*t**2 - 19*t**2.\nAnswer: 33*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -6. Let k(o) = o**2 + 14*o + 29. Let w be k(-12). Suppose 0 = -s + 3*l + 13, 5*s = 8*s + w*l + 17. What is the smallest common multiple of s and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -1)*(-8)\/24. Sort 3\/7, b, 2 in ascending order.\nAnswer: b, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y + 3. Let q(i) = -5*i - 5. Let t(w) = 4*q(w) + 7*z(w). Suppose 2*m + 6 - 24 = 0. Let d be t(m). What is the greatest common divisor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 140 or 2675\/19?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 6*j. Suppose -5*m - 4 - 21 = 0. Let u(p) = -p**2 + 13*p. Let w(q) = m*l(q) + 2*u(q). What is the second derivative of w(i) wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 523626832?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66818, -133633, -200446, -267257?\nAnswer: -334066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -42*(-225)\/(-152250)*5\/3\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-13 - -3)) + (-8 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p + 0*p + 0*p + 0*p in the form h + d*p and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c**3 - 2*c**3 - 4*c**3)*(-2*c - 2*c - 4*c) + 3*c + 2*c**4 - 3*c to the form q*c**3 + v*c**2 + h*c + i + m*c**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 - 574*d**2 - 4723*d + 847. Give r(295).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 10. Let c = 6.66 + -6.26. Let g = -12 - -14. What is the second biggest value in c, f, 0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -21\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/14*(-14)\/56)\/((-2)\/28)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 9:23 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 2. Let x(q) = -3*q**2 - 5. Let i(m) = -5*o(m) - 2*x(m). Let w = -1 - -3. Let t(g) = 3*g**w - 6 + 6. Calculate t(i(s)).\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-60))\/(((-99)\/44)\/3*(-2)\/9)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 66 or 462?\nAnswer: 462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-1.12.\nAnswer: 0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**3 - 4*i**2 + 3*i - 4. Let f be g(3). Let s be 6\/12*22*1. Calculate the highest common factor of f and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-67 + (-2 - -17) - -14).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (10 - -4 - 25) + 12 - -58.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vp when two letters picked without replacement from {p: 15, v: 4}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**3 + 36*m**2 - 108*m = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 4. Let a(y) = 3*y**2 - 6*y - 8. Let o be a(i). Let w be (3225\/2)\/(12\/o). What is w rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 0*o**2 + 0*o**2)*(-2*o - 3*o + o) + 69*o**2 - 69*o**2 - 9*o**3.\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -133, -2, 2, -150.\nAnswer: -150, -133, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 > -0.113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 9*o - 2. Let t be n(-8). Suppose -6*p = -p + 5. Let g(f) = -4*f + 1. Let a be g(p). Solve -u + t*u = a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 4*s - 7, 2*m + s - 3 + 11 = 0. Let q = -3 - m. Let p = 17 - 7. Calculate the greatest common divisor of q and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 3. Let p be v(-7). Suppose p*l = 5*x - 2*x - 19, 16 = 3*x - l. Solve 0 = -h - 2*f + 4*f, h + x = -3*f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5933532 or -5933529?\nAnswer: -5933532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 11, m: 9}. Give prob of picking 2 k and 1 m.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*r**2*t**2 - 9*r**2 + 134*r*t**2 - 2*r - 2*t**2 + 2*t - 215 wrt r?\nAnswer: 4*r*t**2 - 18*r + 134*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/5 in 3, 1\/10, 5\/32?\nAnswer: 5\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256, -2285, -5668, -10405, -16496, -23941?\nAnswer: -32740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 12 = -t, -2*t = 4*q + t - 28. Suppose 3*r = -r - 2*y - 1740004, 0 = q*y + 8. Round r to the nearest 10000.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 15) to base 4\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 0.1, 0.3, -0.5, -4.5, 16\/9, 1848?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Let k be (-5)\/(((-9)\/(-3))\/(-3)). Suppose -2 - 3 = -k*t. Calculate the remainder when b is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + x)*(2 - 3 + 0) + (-x + 3*x + 0*x)*(-10 + 2 - 6).\nAnswer: -29*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87 - -295. What is the greatest common factor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(3\/2))\/(-2). Let j(m) = m**2 - 20*m + 5. Let v(y) = 4*y - 1. Let a(l) = j(l) + 5*v(l). Let i(p) = -1. What is d*i(s) + a(s)?\nAnswer: s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*z + 39*z - 157*z = -54*z + 4446 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-175504.\nAnswer: -175504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytg when three letters picked without replacement from oytgr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*h - 2244 = -4*n, 0 = 2*n + 3*h - 1477. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25181 divided by 5\nAnswer: -25181\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 3\/9536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1247719973 to the nearest integer?\nAnswer: 35323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 344486564?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2004, -8110, -18280, -32514?\n\"Answer: -2032*p**2 - 10*p + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.4 - 3.06. Let z = -1.54 + f. Sort 1\/2, 7, z in descending order.\nAnswer: 7, 1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**3 - 46*a**2 + 39*a + 25. What is the lowest common multiple of 196 and u(-13)?\nAnswer: 3724","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**2 - 160*d = 0.\nAnswer: 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 44\/5*w**3 + 72\/5 + 184\/5*w + 154\/5*w**2 + 2\/5*w**4 = 0.\nAnswer: -18, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472788011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 2306 - -1360. Suppose 2*j + 16*p = 20*p + 1848, 2*p - c = -4*j. List the prime factors of j.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/10 + (1 - 7\/(-5)). Solve 9 - 2 = -3*y + x*m, -5*y - 20 = 5*m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 504 divided by 21.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 16 = -3*k + k, -16 = 4*a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, -8\/2637, -1199, -3 in ascending order.\nAnswer: -1199, -3, -2\/19, -8\/2637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 11624*f - 69659. Calculate v(6).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -192*y - 535. Let l(s) = 330*s + 892. Let m(x) = 12*j(x) + 7*l(x). Let q(c) = -2*c. Calculate m(q(h)).\nAnswer: -12*h - 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -412*a**3 + 23*a**2*h*y**2 + a**2*h + 23052*a*h*y**2 wrt a?\nAnswer: -2472*a + 46*h*y**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + ((-496080)\/(-225))\/53.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -1. Let z = 38 + -35. Let p(i) = i**z - 4*i - m*i + 10*i**2 - 5*i**2 + i**2 + 3. Calculate p(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2495 divided by 180?\nAnswer: -499\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-4\/3)*o*o)\/o)\/((o*(o*o\/o**(1\/5)*o)\/o)\/o))\/(o**(-1\/4)\/(o\/o**(-1)*o))*(o\/(o**(-1)\/o))**40*o**(-1\/2)\/(o*o**2\/o*o*o*o) assuming o is positive.\nAnswer: o**(6997\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 17259, -1, 2, -5 in increasing order.\nAnswer: -5, -4, -1, 2, 3, 17259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-16)*2*56\/(-7). Differentiate -40 - 11 - v - 61*m with respect to m.\nAnswer: -61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 5142?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2631.35765 to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/10? (a) 0.3 (b) -108788.1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 22*v - 30. Let b be z(-21). Let u be b\/(-45) + (-2)\/(-10). Let n = -0.04 - -0.34. What is the closest to u in -1\/6, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2203851*n**2 - 12*n - 38428.\nAnswer: 4407702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 22 - 10 - 2*d + 4. Let n = 374 + -367. Give h(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 33\/55*(35\/(-10) + 1). Which is the closest to -1\/2? (a) -2\/13 (b) n (c) -14 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f + 4. Let a(n) = 19*n - 35*n + 8 - 29. Suppose 4*s - 6*s - 16 = 0. Let z = -10 - s. Calculate z*a(m) - 11*w(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 67*k**2 + 36317*k + 471. What is o(160)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2 - 16*a + 3.\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 161785573?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 2\/9 (b) 3\/5 (c) 4\/29 (d) -0.2 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -291 + 487. Suppose f = 3*q + 9*g - 14*g, -g = -4*q + 250. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474534114.\nAnswer: 2, 3, 23, 997, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 62*l**2 + 42*l + 14. Let b(w) = -13*w**2 - 3*w - 2. Give -14*b(p) - 2*s(p).\nAnswer: 58*p**2 - 42*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 - (-153 + 143)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1239, -4831, -10801, -19131, -29803?\nAnswer: -42799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2742556ug to grams.\nAnswer: 0.0000002742556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -0*j + 2*k - 1, 361529*j - 361525*j = 3*k - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven eighths of a kilometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/94802222 and 57\/5?\nAnswer: 474011110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n - 1 - 1 - n. Let g be k(2). Find the third derivative of -3*u**6 + 3*u**g + 2*u**2 + 2*u**6 wrt u.\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1111411 - 11?\nAnswer: 1111400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27224225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38 in -3, -76, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87824006?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3 - (-28)\/6. Suppose 3*r + 0 = 5*w + 6, -2*r - 3*w = -f. Let p(g) = -g**2 + 186*g - 186*g. Let h(u) = -u**3 - u**2. Calculate r*p(q) - 2*h(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 20) + (-51 - -37).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1399343, 2798710, 4198071, 5597426, 6996775, 8396118, 9795455?\n\"Answer: -3*j**2 + 1399376*j - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -440, -946, -1452?\n\"Answer: -506*j + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c. Let u(b) = -12*b**2 - 5*b + 20. Let t(v) = -v + 1. Let q(g) = -5*t(g) + u(g). Let k(n) be the first derivative of q(n). Give j(k(w)).\nAnswer: -72*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(6292) + sqrt(6292) - sqrt(6292)) + sqrt(6292))\/(6*(1*sqrt(4) + sqrt(4)) + sqrt(4)))**2 - 4*(-1 + ((sqrt(13) + sqrt(26)\/sqrt(2))*-1)**2).\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/21)\/g)\/(g*g**8*g*g)*(((g*g\/(g*g*g**(-2\/35)*g))\/g)\/g*g)\/(g\/g**(2\/25)) assuming g is positive.\nAnswer: g**(-7328\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 3142.412 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 4*a - 31 + 113*a**2 + 32 - 91*a**2.\nAnswer: 22*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 55, -0.2, 126.7 in decreasing order.\nAnswer: 126.7, 55, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-3)*(-2)\/(-6)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - w**2 + w + 8. Let y be d(0). Let r be -1 + 1 - y\/(-20). Which is greater: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 960 and 464.\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 0. Let g be (-75 + 1)\/(18\/36*(-1 - 1)). Sort g, 0, d.\nAnswer: 0, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12402 + -2666?\nAnswer: -15270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(175) + -1) + sqrt(175)*2*-5 + 1 - 4*((sqrt(175) + 0)**2 + -2 + 1 + sqrt(175) + 5).\nAnswer: -720 - 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 710 and 75834958.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 21002820 divided by -60\nAnswer: -350047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**2*q*y + 683*k**2*y**3 + 2*q**2*y**3 - 115*q**2 + y**2 wrt y?\nAnswer: 4098*k**2 + 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehqhzew. What is prob of sequence qh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (8515 - 8497) + (-672)\/38?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.158471 milligrams in kilograms?\nAnswer: 0.000004158471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3145819161?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9889785 and 65145?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 9*a**4 - 43860*a**3 - 49362807*a**2 + 115506198*a + 98930160 = 0.\nAnswer: -945, -2\/3, 3, 5816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 57. Which is bigger: a or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28725 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1369 + 2491. Suppose 5*n - x = -n. What is the greatest common divisor of 17 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534*r**3 + 1570*r**2 - 1570*r**2.\nAnswer: -534*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(3 + (-7)\/2). Let q be 2\/(-4)*2 - i. Which is smaller: 4\/3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 286*h**5 + 10786*h**4 + h**3 - 65*h - 5657 wrt h.\nAnswer: 5720*h**3 + 129432*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(6))\/sqrt(4) + -4 + sqrt(112) - (sqrt(700) + 5 - (sqrt(700) + 2*sqrt(700))).\nAnswer: -9 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 32 = h - 4*u, 2*u + 6 = 0. What is the highest common factor of 50 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 2. Let x = 8 + -6. Let z(m) = 7 + m**x + m - 7*m**2 + m**3 - 6*m + 2*m**2. Calculate z(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + (58 - 64).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - -1 - 4)*-557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615 is divided by 294?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 3. What is the second derivative of -2*o**4 + 3*o + m*o**4 - 2*o**4 wrt o?\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6027 and 164?\nAnswer: 24108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 381 + -381. Suppose -3*b - 3*b + 7*b = 0. Find x, given that b*x + c + 0*x**3 - 2\/11*x**4 + 0*x**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c. Let j(y) be the first derivative of 0*y**3 + 0*y**2 - 17*y + 9 - 37\/12*y**4. Let x(s) be the first derivative of j(s). Determine f(x(p)).\nAnswer: 37*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 1 - (-4)\/1. Suppose 0*n + p*c = 2*n - 457, -2*n + 439 = c. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -858*z = -43580 + 41864. Suppose -42\/11 + 2\/11*r**4 + 36\/11*r**3 + 124\/11*r - 120\/11*r**z = 0. What is r?\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5861846.1 and 0.05.\nAnswer: -293092.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from kqururqqcquqku.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -101010111001001001 (base 2) to base 16\nAnswer: -2ae49","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/(-6) + (-11)\/(-33). Let w be (3\/(-12))\/(((-4)\/f)\/(-152)). Which is smaller: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (57\/(-12))\/(11\/(1023\/(-18))). Let t = 197\/12 - a. What is the common denominator of 115\/14 and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1973455009 to the power of 1\/5, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5746 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnamngz. What is prob of sequence bgz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*j = -378*j + 190*j - 464 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 3*g**2 + 3*g. Let j(h) = h**2 - h. What is -i(o) - 4*j(o)?\nAnswer: -o**3 - o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpq when three letters picked without replacement from pyvyyyyppqypyypy.\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 179*g + 183*g + 11, -g + 1 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 30 = -2*b - 5*o, -7*b - 69 + 15 = 11*o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*t - 15*t - 4*d + 12, 0 = -t - 4*d + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*o = -117, -4*q + 3*o + 45 = -423. Calculate the highest common divisor of q and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -21*d**3 - 3*d**2 + 6*d + 2. Let n(s) = -s**2 + s + 1. Let w(o) = h(o) - 5*n(o). Is 38 a factor of w(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-38)\/(-8) + 21\/(-28). Suppose 0 = h + l*h. Suppose h*d = -2*d + 32. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 724 - 7*i - 371 + 3*i - 351.\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 + -102 - -78)*12*-1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.535469 minus -3017704?\nAnswer: 3017701.464531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/6*378\/(-15). Let d be -3 + (-13)\/((-234)\/b). Let n(q) = q - 3. Let l be n(4). Is d < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536356 is divided by 225.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-three fifths of a microgram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 4) + 3 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2, -15.\nAnswer: -15, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -3*y - 25 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 17632*l.\nAnswer: l*(l - 17632)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.04039881 times 7\nAnswer: 0.28279167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + 4 + 2*(0 + sqrt(108)) + 6*-3*(-3*sqrt(108) + sqrt(108)))**2.\nAnswer: 3192*sqrt(3) + 156001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223753.\nAnswer: 223753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*w + 17. Find the second derivative of 3*g + 4*g**5 + 0*g + g**w - g**5 wrt g.\nAnswer: 80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1887, 1888, 1889?\n\"Answer: a + 1886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*z + 4*j = -66*z - 7, 4*j - 35 = 5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) + 2 + 0 + 5.\nAnswer: 7 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*r**2 + 4 + 25*r**2 - 4 - 100*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 816124382 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -107, -166, -319, -614, -1099, -1822, -2831?\n\"Answer: -8*i**3 + i**2 - 6*i - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 8*r + 55. What is h(0)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -35*k**2 + 9*k - 153. Let w be (-3)\/2*(7 + -1). Let a(b) = -9*b**2 + 2*b - 38. Let d(h) = w*a(h) + 2*i(h). What is the derivative of d(s) wrt s?\nAnswer: 22*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-216)\/(-81)*(-17)\/(272\/180)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 36\/149, -0.0772, -1\/11, -0.1?\nAnswer: -0.0772","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1979015 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2\/3 + 37040*d\/3 + 171495200\/3 = 0. Calculate d.\nAnswer: -9260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*t + 1484 = 907 - 1999 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 7*q - 17 - 8*q.\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 25. Let y(s) = -11*s**2 - 4*s - 6. Let q be y(u). Round q to the nearest ten.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = o + 8 - 3, 0 = -2*t + 3*o - 5. Suppose -2*b - t*g + 5 = -b, 5*b + g = 34. Does 4 divide (-2 + b\/2)\/((-3)\/(-38))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 39 = -45. Let o(p) = 3 + 928*p + 7*p**2 - 934*p - p**3 + d - 4 + 1. Determine o(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/570)\/(15\/(-5)*(-4 + (-200)\/(-48))).\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.3 times 6.767?\nAnswer: -42.6321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (278817\/(-119493))\/((-1)\/((-180)\/(-266))).\nAnswer: 30\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 4*j**2 - 5*j + 5. Let u be y(5). Suppose -u = -r - 0*r. Suppose -1200 = 4*l - r*l. Round l to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -28*a**5\/5 + 20*a - 1. Find the first derivative of k(l) wrt l.\nAnswer: -112*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -25. Is -14 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) -3243 (b) 1\/33 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -1. Suppose -66 = -0*m + f*m. Let z = 46 + m. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1052.9 - 1053. What is the closest to 2\/3 in h, 2, -1\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132\/16*40\/15*(14 + 817\/(-57))\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400541 + 205*v**3 + 400541.\nAnswer: 205*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -7, 744157.\nAnswer: -7, 23, 744157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 11*z**3 + 855*z**2 - 238*z - 377. What is h(-78)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 7*j = 0. Suppose j = 35*h - 33*h - 8. Calculate the lowest common multiple of 6 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 808 and 228.5.\nAnswer: 1036.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -26160 divided by -774?\nAnswer: 4360\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 330 + -538. Let n = d + 223. Solve -n + 1 = -7*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 202*c + 198*c + c**4 - c**3 + 0 in the form s*c**3 + a + r*c + b*c**2 + h*c**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 41, -2\/9, -6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 5. What is the remainder when (-2)\/f + 20 + -1 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 994 is divided by 100?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -121 * -3.7\nAnswer: 447.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2*g - 540 = -544, 4*f - 2 = -3*g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7245\/(-828)*(-4)\/10.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 4*f**2 + 2*f + 1. Let b be ((-1)\/(-2))\/(2\/(-16)). Let n be 2\/b + (-10)\/4. Let r be k(n). Solve -q - r*t = 2*q + 25, 0 = 3*q + 3*t + 21 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2. Let b(h) = -48*h - 1. Let f be b(-2). Suppose 62*i - 424 = -150*i. Let o(w) = -172*w**2 + 39*w**i + f*w**2. Calculate o(d(a)).\nAnswer: -38*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**3\/3 + 2*g**2 + 6*g + 199. Let c(q) = -q**2 + 7*q + 11. What is 5*b(y) - 3*c(y)?\nAnswer: -2*y**2 - y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2671762913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8*u - 4. Let v = 3 - 16. Let o(k) = -4*k + 2. Suppose t + 7*i + 27 = 0, 0*t - 5*i - 39 = 4*t. Calculate t*z(j) + v*o(j).\nAnswer: 4*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 76638 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 7245*j + 43522. Give h(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 568052207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10257111*r**3 - 19295473*r**2.\nAnswer: -61542666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/4)\/(((-8)\/(-20))\/(4\/5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 4*i**2 + i + 1. Let r(t) = -3*t + 2. What is the least common multiple of q(-3) and r(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 4:29 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*q - 22. Let i(k) be the second derivative of -4*k**3\/3 - 5*k**2\/2 + 2*k. What is the units digit of i(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + v**2 - 3*v + 47. Calculate the remainder when d(0) is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - -5. Let v = f - 17. What is the third smallest value in v, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2561, -4215, -5879, -7559, -9261, -10991?\nAnswer: -12755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120015515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, v: 3, h: 3}. Give prob of picking 3 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and 31452?\nAnswer: 849204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*p - 65*p - 4*p + (-6 + 3 + 2)*(3*p + 0*p + 0*p) + (p - p - 2*p)*(-2 + 1 + 2).\nAnswer: -46*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 11*c**2 - 12*c - 18. Let k = -29 - -19. Let b be g(k). What is the third derivative of 10*u**3 + 4*u**3 - 6*u**3 + 10*u**b wrt u?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 38*c + 10. Calculate b(2).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m - 3. Let x(r) = 5*r + 644. Determine -3*t(s) + x(s).\nAnswer: -7*s + 653","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*i + 157 = 0, -5*v - 3*i + 821 = -0*v. Let l = -111 + v. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 31. Let x be 29 - (-6 + v - -4). What is the greatest common factor of 203 and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b\/((b\/b**2)\/b)*b))**(-20\/9)\/((b\/(b**(-15)\/b))\/b**(-5)))**20 assuming b is positive.\nAnswer: b**(-1960\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 0. Is (0 - (-2)\/i)*127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.95 + 1.053. Let o = a + -0.10299961. Round o to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -89578501\/13 + 104450378179\/15158. Let y = 45995\/53 - b. Let k = -748 + y. Calculate the common denominator of k and 53\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 254 + -256. Let u = -266 - -263. What is the nearest to j in u, 0.04, 2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 12*a - 6. Let o be k(13). Let q(j) = 9 - 8*j - o + 2. Let s(v) = -7*v + 3. What is 5*q(d) - 6*s(d)?\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2. Let h(d) = 10*d**3 + 6*d**2. Give -6*f(y) - h(y).\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 330, 1318, 2956, 5238, 8158, 11710, 15888?\nAnswer: 20686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a centimeter in micrometers?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4*(sqrt(95)\/sqrt(5) + sqrt(19))**2.\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 0*b + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 - -3.5. Let q = -0.8 - -1.1. Sort q, d, -0.2 in decreasing order.\nAnswer: d, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.533 - 5.53300027481. What is d rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -11, -2, 3, 32 in decreasing order.\nAnswer: 32, 3, -2, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*a + 45*a - 83*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208975053 and 2793?\nAnswer: 2793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 417 - 398. Is -1\/3 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - x. Let n be 9\/12 + 2\/8. Let y(z) = 3*z**4 - 5*z**2 - 5*z + 2. Let t(l) = n*y(l) - 5*v(l). Differentiate t(k) with respect to k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -3*f**2\/2 - 22*f + 9. Let z be y(-8). Let u(n) = n. Give u(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**2 + 86*g + 12. Give a(-5).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1732*u - 10*u**2 + 4*u**2 + 4*u**2 + 0*u**2.\nAnswer: -2*u**2 - 1732*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - (4\/2 - 0). Suppose -5*w + 3*q + 23 = 0, 4*q - c*q = -5*w + 19. What are the prime factors of w*((-1 - 2) + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213 + 630 - 46*t + 84 - 2*t**2 + 45*t + 189.\nAnswer: -2*t**2 - t + 1116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-2)*q))\/q)**(-32)*q**(-2\/19)\/((((q\/q**(-1\/4))\/q)\/q)\/q) assuming q is positive.\nAnswer: q**(125\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -329 - -331. Solve 4 = k*g - 2*b, 6*g + 12 = 3*g - 3*b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4 = -6, 4*h = -4*k + 36. Let r(v) = v - 4. Is r(k) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1059064? (a) -0.4 (b) 1\/9 (c) 4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-1)\/((-4)\/88). Suppose -3 = -f - 2. Let p be ((-15)\/6)\/(f\/r). What is the greatest common divisor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-18) - 1*(-35438)\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjuujujujujujujjjuu. What is prob of sequence uju?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 26 = -6*f, -g - 47 + 36 = 2*f for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*w**5 + 9*w**3 + 139*w wrt w.\nAnswer: -160*w**3 + 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -360*n + 617. Let i(w) = -362*w + 639. Let c(l) = -6*i(l) + 5*j(l). Find the first derivative of c(p) wrt p.\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3968\/(-24)*-3)\/((-26)\/637). Round i to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/28)\/(((-244)\/(-1952))\/((30\/(-5))\/972))?\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 + 5 - 19*g**2 + 25*g**2 - 3*g**2 + 4*g**3.\nAnswer: 4*g**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48305183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 6 = -3*u, -2 - 2 = 2*u + 4*c. Is (667\/u - 2 - 3)*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6861151 kilometers to nanometers.\nAnswer: 686115100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 65438892976 from 0.5.\nAnswer: -65438892975.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 20*r - 208. Let c be z(37). Let h be 75\/2 - 6\/(-12). Calculate the highest common divisor of c and h.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**4 + 1572*o**3 - 89680*o**2 + 1833744*o - 12738880 = 0?\nAnswer: 20, 22, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 - 2\/(-1))\/2. Suppose -11*l = 2 - 2. Let o be (-1 - l)\/(8*5\/120). What is the second smallest value in o, c, 6, 2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -7. Suppose 0 = p - 0*p. Which is smaller: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 + 435 = 183*y + 245 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 494727163?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1644 times -5\nAnswer: 8220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 282 and 67474.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2, -2, 3 in increasing order.\nAnswer: -13, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 992 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 7:58 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + l - 1. Let b(z) = -9*z**3 - 6*z**2 + 4*z - 9. Let a(i) = b(i) - 5*n(i). Is a(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -15*u**3 + 13*u**2 + 11*u - 15. Let t(l) = 0*l**2 - 6*l**2 - 5*l + 10 + 7*l**3 - 3. Let m be (-76)\/6 + 2\/(-6). Calculate m*t(k) - 6*f(k).\nAnswer: -k**3 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-116)\/(-32) + (12\/32)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -128071 + -8?\nAnswer: -128079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-4636)\/1158 + 1. Let w = -380\/1737 + k. Let x(m) = -m**2 - 8*m - 7. Let v be x(-6). Sort v, 2\/9, w in descending order.\nAnswer: v, 2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 1 = 3. Does 20 divide 0 + (35 + x - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/((33\/12 + -2)*60\/120)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*j - 33. Let m = j + -11. Solve -r + m + 4 = 4*s, 0 = -4*r + 5*s - 40 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*n + 18 = -0, -4*n = -c. Solve 3 = 2*l - 5*v + 8, -c*l + 5 = 5*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.73032 - -0.7997. Round o to three decimal places.\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g. Let j(o) = o**2 - 30*o + 31. Let l be j(29). Let h(v) = -36*v. Calculate l*h(t) + 11*m(t).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45*(15 + 2 + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l**2 - 5*l - 20. What is w(-5)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3609713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 63 = -5*v, 2*t - 18 = 103*v - 99*v. Solve -t*s = -2 + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, s: 11, y: 3}. What is prob of sequence ss?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2659\/4599 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2. Let r(f) = f - 3. Let a be r(6). Suppose a*g - g = 4. Let c(t) = 5*t**2 - 2*t**g - t**2. Give y(c(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -16*p**4 - 134 - 88*p**3 + 273 - 170*p**2 + 25*p + 111 - p**5 = 0.\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -353 + 336 + 1 + 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 17*f - 15. Let z be l(15). Let j be (-6)\/((-9)\/2 - -3). Solve -j*a = a - z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*r - u, 24 = -4*r - 103*u + 104*u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29653991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46706206.\nAnswer: 2, 773, 30211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10738 is divided by 1137.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -31. Suppose -8 = z - 2*i, -2*z + 5 = 3*z - i. Let y(j) = -2*j**2 - 4*j + 0*j**z + 3*j**2. Calculate y(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3530743 - 1.353. What is h rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312.7072l in millilitres?\nAnswer: 312707.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + a + 49*a**3 + 42*a**3 - 107*a**3 to the form b*a**2 + w*a + o*a**3 + m and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 119419 at least 119348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -155, 3.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/56 and -1\/219026647.\nAnswer: 1752213176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/11 or 131\/4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2644830 divided by 5.\nAnswer: -528966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -131, -119, -105, -89?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -205\/514624 or -1?\nAnswer: -205\/514624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**2 - 25*m. Let b(x) = 2*x**2 - 12*x. Let t(p) = -7*b(p) + 3*j(p). Let t(i) = 0. Calculate i.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 3, -5, 0, -17 in increasing order.\nAnswer: -36, -17, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2576.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 14*c - 502 + 162 + 198 + 161. Determine b(-6).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 2*d**2 + 6*d**2 - d**2.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 200\/12 + 2\/(-3). Suppose b + 16 = 3*p - 40, -p + y = b. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1500)\/178750*44)\/((-4)\/16 + (-81)\/(-420)).\nAnswer: 84\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/((-12)\/3))\/(-2). Suppose 10*m - 5*m - 35 = 0. Solve m*t - 6*t - 3 = y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 29*s**2 + 64*s - 36. Let g be r(31). Calculate the highest common divisor of g and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39668388 by -19834194.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + 14*x - x + x**2 + x**3)*(-27*x + 241 - 241) to u*x**3 + t*x**2 + d + o*x**4 + h*x and give t.\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((-532)\/(-91)) + -4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + 7*v - 2*v)*(-78 + 37 + 38 - v) to r*v**2 + f + a*v and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/((-4)\/3))\/1. Let w(c) = 3*c - 9. Let g be w(s). Let x(v) = -v**3 - 13*v**2 + v + 19. Let q be x(-13). Solve 2*z + q - 16 = g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 841632 and 6733056.\nAnswer: 6733056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.71 + -0.41. Let r = 19 + -11. Let w = -7.6 + r. Which is the third smallest value? (a) w (b) -2\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10648677, 21297367, 31946057, 42594747?\nAnswer: 53243437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z + 35840*z**2 + 11*z - 35740*z**2 - 4*z.\nAnswer: 100*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 2*j**3 - j**3 - 2*j**3 + 0*j**3 + 4*j**2 - j**2 + (j + 0*j - 2*j)*(6*j**2 - 2*j**2 - 3*j**2) - 2*j**3 - 3*j**3 + 3*j**3.\nAnswer: -6*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15390 - 13256. Calculate the remainder when k is divided by 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001490754 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9330 by -615.\nAnswer: -622\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -15, -27, -43, -63, -87, -115?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -84*(-39)\/(-26) + -4 + (-3 - -23) + -4.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - 31 - (-11 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -105 - (3 + -5 + -10 + (60 - (-84 + 128)))?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/17))**(-5\/11)*l**(-1\/26)*l\/l**(-2\/23) assuming l is positive.\nAnswer: l**(111269\/111826)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, u: 1}. Give prob of picking 1 u and 1 s.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - p**2 - 5*p**2)*(3*p + 2*p - 2*p) + p**3 - 2*p**2 - 1 + 2*p**2 + p.\nAnswer: -5*p**3 + p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -142240 and -11.\nAnswer: 1564640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddtootdtd. Give prob of sequence tdt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 1. Let x be r(-1). Suppose x*q = -0*q + 12. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1) + 2 - (-9 - -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11651 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 6*h - 12. Let m(p) = -p + 5*p - 16 - 7 - 2*p. Let s be m(16). Solve -4*a + h + s = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**5\/6 - 4655*l**4 + 167930*l**3\/3 - 18820*l**2 - 2687680*l\/3 - 1194240 = 0 for l.\nAnswer: -5598, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*l + 3*l**3 - 2*l**3 + 24*l in the form z*l + f + m*l**2 + q*l**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.3, -0.2, -9, -0.1 in decreasing order.\nAnswer: 0.3, -0.1, -0.2, -2\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11110483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 26, 42, 66, 98?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/8 - 36*s + 289\/8.\nAnswer: -(s - 1)*(s + 289)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62794*x**2 + 123467*x**2 - 60677*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144202.\nAnswer: 2, 72101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*c + 552740 - 551258 = 8*c - 32*c for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n**2. Let u(r) = 2*r**2 - 4*r**2 + 3*r**2 + 0*r**2. Give h(u(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1223 + -3?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 47594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 60*o - 57*o - 7*o**2.\nAnswer: -5*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -50\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -4, -15, -85\/3, -2, -2\/3, 3\/7, -0.5?\nAnswer: -85\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*0.0588.\nAnswer: 0.4116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -17*x**2 - 7*x - 16. Let h(t) = 37*t**2 + 15*t + 32. Let z(i) = 6*h(i) + 13*q(i). Let w be ((-6)\/30)\/(-1) - 1\/5. What is z(w)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 4. Let o be -5 - (2 + -3) - -2. Sort o, -4, y.\nAnswer: -4, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by -303 + 348 + -2 + 5*2.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133231 + 10?\nAnswer: 133301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 63671916 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 10*i - 73. Calculate the remainder when 183 is divided by g(12).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190315458 and 247194.\nAnswer: 7974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1709952662 rounded to the nearest one million?\nAnswer: -1710000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6 - 2)*(-918265)\/(-860)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 482\/13 - 37. Let f be (-6)\/(-8)*((-51)\/(-85))\/(3\/(-4)). What is the biggest value in j, 0.4, -0.1, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 1)*(0*g + 0*g + 2*g**2)*(-2 + 2 - 2*g).\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-14)*((-8)\/(-28))\/(-1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-56*(-1474)\/2948?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 1713960.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**3 - h**2 + 2550*h + 6320.\nAnswer: 6*h**2 - 2*h + 2550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*p + p - 48, 4*m = -4*p + 48. Let o be (-1)\/(-2)*p\/3. Put 1, -5, o in decreasing order.\nAnswer: o, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**4*y - 2*j**4 - 15*j**3*y + 22*j**2*y - y wrt j.\nAnswer: -24*j*y - 48*j - 90*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 40, 55?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -10*m - 1. Let i be (-5 + (-4 - -11))*(1 + -2). Give n(i).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/33*344839\/4089\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1180000 and 59000?\nAnswer: 1180000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 3 - ((42 - 13) + 0 + -1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*j + 31 = -4*n, 4*n - 2*j = -22. What is the third smallest value in n, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*u = 87*u - 410. Suppose 0 = -u*n + 83*n - 1212. What are the prime factors of n?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.16683789 and 11.\nAnswer: 11.16683789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8336 = 3*y, -3*y - 4275 = -2*t - 949. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + -75. Let m = -18 - y. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12815\/7 + -1817. Let m = 66\/7 - a. Let x = 1\/1315 - 18421\/14465. What is the common denominator of m and x?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*n*s**4*t**2 - 3*n*s**3*t**2 - 2*n + 6*s**2*t**2 + 6*t**2 wrt s.\nAnswer: 384*n*s*t**2 - 18*n*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 557905, 557891, 557853, 557779, 557657, 557475?\n\"Answer: -2*b**3 + 557907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1744\/107? (a) -26 (b) 6 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b - 13*b - 21 + 9*b.\nAnswer: 3*b - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 0.05, 0, 0.4.\nAnswer: 0, 0.05, 1\/8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*z + 279 = 60*z. Let p = 0.05319 - -4.94681. Let o = 4 - 1. What is the second smallest value in o, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) + -2 + (-6)\/(-8). Let v(k) = 3*k**3 + k**2 - 1. Give v(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*r**5 + 3*r**4 - 793*r**2 + 3*r - 12810.\nAnswer: 60*r**3 + 36*r**2 - 1586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -32, 5 in decreasing order.\nAnswer: 5, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**3\/6 - n**2. Let l(r) = -472*r + 3 - 446*r + 917*r. Let y = -5 + 3. Determine y*l(u) - 6*b(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + 3 + (sqrt(80) + -1 + sqrt(80))*4*-4 + -5)*-4.\nAnswer: -512*sqrt(5) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2250600 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 31*j**2 - 25*j - 2075. What is r(-29)?\nAnswer: -3032","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12277133?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**2 + 432*b - 428 = 0.\nAnswer: 1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/500 and 43\/10049740?\nAnswer: 251243500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28821*x**3 + 3*x + 4104*x**3 - 3*x + 0*x.\nAnswer: 32925*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q = -36. Suppose 3*v - 5*t = 26, -t - t = -5*v + q. Which is the second smallest value? (a) 3 (b) v (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*p + 4, -176 = -5*f - 4*p. Let d be 2696\/f + 2\/(-8). What is the highest common factor of d and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 4*y - 1396. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 4. Let p be 5\/6*(3 - 1). Is m bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 2 + 4 - 2 - 5 - 1 - 3 + 2 + (-2 + 3 + 1)*(3 - 4 - 1))*(-3*l + 0*l + l)*(-1 - 4 - 1) in the form x*l + d and give x.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1578110 is divided by 91?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 189 - 367. Let q be (10 + -24 + 10)*(-1)\/4. Does 26 divide z\/3*(-1 + -1 - q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 28*z + 136 = 0. Solve -22 = -4*d - 2*o, z = 2*d - 2*o - 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 410576254*b**3 + 320502730*b.\nAnswer: 2463457524*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/6)\/((-2)\/21). Let q = 107 + -95. Suppose -4*o = -w*o + q. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13699\/3 - 4565. Let m(c) be the second derivative of 0*c**2 - 1\/15*c**6 - 6*c + l*c**3 - 3\/10*c**5 + 0 + 0*c**4. Solve m(f) = 0 for f.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/2*2\/(114\/57).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 503792298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**3 - 5*j**2 + 5*j. Calculate the lowest common multiple of 56 and m(2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 + 4*g - 4*g + 3716 - 3716.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/1735, -0.02, -4, 4\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001127448058 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110 and 1650.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 4*x - 2, 1067*d = 1070*d + x - 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2 + (1 - 3 + 0)*(0 - 1 + 0) - 1 + 3 + 1)*(y**2 - y + y) - y**2 + y**2 - 2*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 61.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3420)\/(-120)*(-4 - (-20)\/6).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-5)\/(30\/(-4)) - 47. Suppose -5*y + 3*n - 29 = 0, -7 = 2*y - n + 4. Let a be 2\/y + f\/(-10). Solve d + 15 = a*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-136)\/40)\/(-17))\/(5\/(-25))*-7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4523 is divided by 74.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2361.3km to meters.\nAnswer: 2361300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7062 is divided by 2319?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 4*g - 1. Let n = 71 + -76. Calculate m(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zlzlzzzllzzzlzzllllz. What is prob of picking 3 l?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14195 - -14200. Which is the third smallest value? (a) -3\/5 (b) -0.3 (c) -3 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -53.7?\nAnswer: 55.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9 and -33.959.\nAnswer: -24.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3 - 127*b - 4 + 6. Let x be z(-5). What is x rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 0*r**2 - 7*r + 1\/90*r**6 + 0 + 1\/18*r**4 - 1\/20*r**5 + 0*r**3. Solve t(k) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0516888 and 0.13.\nAnswer: 0.0783112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/9, -3, 1, -18, -257?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -15*a**5 + a**4 + a**3 - 16*a**2. Let l(u) = u**4 + u**3. Let j(y) = l(y) - p(y). What is the third derivative of j(k) wrt k?\nAnswer: 900*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5533*u + 1. Let o(a) = -37*a. Calculate o(p(d)).\nAnswer: -204721*d - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3623004462473 - 0.2\nAnswer: -3623004462473.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*g + 4*g - 18*g - 10*g**4 wrt g?\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3814\/22)\/((-40)\/(-12)). Let n = o + -692\/11. Find the common denominator of n and -91\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d - -493c2?\nAnswer: 493d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*((-j - 3*j + 0*j)*(-2*j + j + 3*j) - 6*j**2 + 14*j**2 - 28*j**2).\nAnswer: -56*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -78325.2.\nAnswer: -78325.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 130\/15*(-3)\/1. Let u = h - -113\/4. What is the common denominator of -53\/7 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-460)*(-22)\/24*10190\/(-11209)?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 6:34 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*sqrt(66)\/(sqrt(384)*1).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007093389 rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j**3 + 11*j**2 + 6*j - 25. Let w(l) = 8*l**3 + 21*l**2 + 11*l - 49. Let a(p) = 3*w(p) - 5*z(p). Let f be a(8). Let s(g) = -14*g. Give s(f).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -346 + 494. Let f = -127.4 + n. Let d = f - 21. What is the second biggest value in -5, d, -1\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -16. Let y(u) = -u + 9. Let t(z) = 3*m(z) + 5*y(z). Let v(x) = x**2 - 6*x + 3. Let d be v(5). Calculate t(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13311597 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -15. Let i be (0 + -3)\/(1\/n). What is the tens digit of (-6)\/i + 590\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*((-4 - 0) + 2). Suppose 4*j - a*n = 2488, -2488 = -4*j - 25*n + 22*n. List the prime factors of j.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -16, 1, -1, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -6. Suppose 0 = -3*f + f + 6. Suppose 0 = -f*p - z*p + 99. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28b8b (base 16) in base 11?\nAnswer: 104352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0524049 to four dps.\nAnswer: -0.0524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*l - 3. Let d(c) = -2*c**3 + c + 1. Let a be d(-1). What is the second derivative of -3*v**2 + v**4 - 3*v + l*v**a + 5*v wrt v?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgrnrur. What is prob of sequence bu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85\/((-4250)\/(-40)) - (184\/20 - 9).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 42528146 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000035328 rounded to 7 decimal places?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**5\/j)\/j*j)\/(j**(-1\/7)\/j)*(j\/(j\/(j*j\/(j**(-2\/7)*j))))**(-42) assuming j is positive.\nAnswer: j**(-342\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r**3 + 159*r**2 - 283*r + 10082. Let t be n(32). Suppose -2*i**3 + 26\/3*i**t + 56\/3*i + 8 = 0. Calculate i.\nAnswer: -1, -2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5))**(-3\/10))**48*(n*n\/(n\/(n**0*n)))**(-1\/2)\/((((n**(1\/3)\/n)\/n)\/n)\/n**(-2)) assuming n is positive.\nAnswer: n**(407\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 185\/96 - -9\/32. Calculate the common denominator of h and 17\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1170 less than 9.7?\nAnswer: 1179.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 207*p**2 + p + 1. Let r be m(-1). What is the units digit of r\/12 - 1\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**4\/4 - 2*m**3 + 4*m**2 - 3*m + 347. Suppose -55 = 5*l - 20. Calculate d(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/22 and -11\/290.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*i - 84*i - 24*i + i - 136*i in the form a*i + l and give a.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 22c?\nAnswer: -22d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 5 = -32 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3853.177 centuries?\nAnswer: 38531.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*y + 0*y - 13*y)*(-2*y**2 + 32 - 23 + 4*y**2).\nAnswer: -76*y**3 - 342*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*c - 13683 - 25538. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/(-6) + 21\/(-63). Solve u*v = -3*a + 17, 5 = 2*v - 0*v + 3*a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718719570 to the power of 1\/3, to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/36 - ((-32)\/18 + (24\/27)\/(-4))?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 1. Let w(x) be the second derivative of -5*x**2\/2 + 84*x + 1. What is 3*t(c) - w(c)?\nAnswer: -3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z + z + 0*z. Let k(i) = -5*i**2. Determine k(x(s)).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + m + 54. Let o = -37\/2 + m. Let z = 261037\/18 - 57993\/4. Calculate the common denominator of z and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 736*i + 416. Is 21 a factor of x(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooggooooo. Give prob of picking 1 g and 3 o.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {h: 1, u: 1, d: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*o - 35*o + 32. Let b(h) be the third derivative of h**4\/12 - 10*h**3\/3 - 8*h**2. Let m be b(o). Solve -2*x - 2*x = -m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100303402 - 104?\nAnswer: 100303243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462*p**3 + 1415*p**3 - 339*p**3 - 432*p**3.\nAnswer: 182*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5 = 9*l. What are the prime factors of l\/2 - 492\/(-24)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 66414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 5*o + 6. List the prime factors of j(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1196.7 + 1196. Let o = -2136\/11 - -194. Which is the third biggest value? (a) p (b) 4 (c) o (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {r: 1, g: 12}?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 365830667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/14*480\/(-840)*(-42)\/(-3)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31.12 and 0.5.\nAnswer: -15.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1 = -2. Factor 1 + 8*j**2 - 12*j - h - 3 - 20*j**2.\nAnswer: -3*(2*j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -142081?\nAnswer: 568324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (8\/6)\/2 - (-42 + (-213815)\/123) is divided by 25.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tppp when four letters picked without replacement from {p: 15, t: 5}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7156 = -3*p + 7156 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3336*w - 414 - 5*w**2 - 6678*w + 3340*w)*(4*w - 4*w - 2*w).\nAnswer: 10*w**3 + 4*w**2 + 828*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(153)*-2 + sqrt(153))\/((sqrt(9) + sqrt(45)\/sqrt(5))*-2).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -403 + 108. Let q = -259 + v. Calculate the least common multiple of 40 and q.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 534 or 11?\nAnswer: 534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3) + (-1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31482 and 15579?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3366041 (base 7) to base 9.\nAnswer: 708842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4905 + -82.4705. What is t rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9*b**3 - 8*b**2 - 17*b. Let w(z) = -6*z**3 + 5*z**2 + 11*z. Let i = 387 - 379. Suppose -2*q + 3*s - i*s = 11, 2*s = -4*q - 30. Give q*w(r) - 5*l(r).\nAnswer: 3*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1104 + 383 + 6477 + 7014)*(a**4 - 3*a**4 + 4*a**4) as k*a + d*a**2 + z*a**4 + y + i*a**3 and give z.\nAnswer: 25540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p + 2. Let y be i(1). Suppose -y*x + 5*x = -123. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 408 + -64152?\nAnswer: -63643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*f - f - 308, -4*f - 2*k - 296 = 0. Let c = -44 - f. Put 1, c, 5, -4 in descending order.\nAnswer: c, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2432, -2493, -2552, -2609, -2664, -2717, -2768?\nAnswer: -2817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r - 4*r - 3*r**2 + (-21 + 4*r + 21)*(2*r + 0*r - 3*r) - 8*r**2 - 9*r**2 + 3*r**2.\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.3 + 0.3. Let s = x + -9. Let g = s + 34.7. What is the closest to -1 in 2, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -3. Let a(k) = 0*k**2 + q*k**2 - 7*k - 2*k**2 + 4. Let b be a(7). Solve -b*t = -0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from {v: 3, z: 5, i: 1}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 373755121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -6*z + 56. Suppose 2*x + z - 4 = 3*p, 0 = -4*x - 20. Determine m, given that 6*m + 6*m**3 + 9*m + 5 + 15*m**2 + p*m**3 - m**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41888 + 2010737\/48. Calculate the common denominator of 125\/6 and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41414, 331266, 1117994, 2650034, 5175822, 8943794?\nAnswer: 14202386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9*d - 2\/3 + 2\/9*d**2.\nAnswer: 2*(d - 3)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 c when four letters picked without replacement from {s: 3, z: 2, c: 12}.\nAnswer: 33\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2*sqrt(72)*2*-3)**2 + (sqrt(72) + (0 + sqrt(72))*3 + sqrt(72))**2 + 4).\nAnswer: 24344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1483 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: Is 27692489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -78\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18877012 and 97027.\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 14. Let a be 0\/(-1 + 4 - k). Solve 3*j = -2*i + 18, a*j - 7 = -i - j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 130*y + 4496. Let c be z(158). What is the highest common factor of 75528 and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 11:29 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -32. Let a = n + -11. Suppose -7 = -8*g + 7*g. Solve -g + a = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719175.\nAnswer: 3, 5, 43, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13db (base 14) to base 13\nAnswer: 17b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**0\/k)\/k)\/k*k*k)\/k*k*k*k*k*k)**27*k\/(k*k\/((k\/(k\/(k**(-1\/4)\/k*k*k)*k*k))\/k))*k**(1\/7) assuming k is positive.\nAnswer: k**(2181\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4060*s**2 - 36513*s - 220. Calculate d(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19678032*y**2 - 7626235?\nAnswer: 39356064*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113744174.\nAnswer: 2, 56872087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1103711*m + 650 = 1103736*m for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 4. Suppose -2*i = f - 176, 2*i = g*f + 193 - 17. What is the greatest common factor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 8*b - 17 = 9*b, -n - 2*b - 12 = -0*b + 10 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*x**3 + x**2 + 274*x - 273*x - 2*x**2 in the form l*x**2 + r + z*x**3 + f*x and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(((d\/(d*d\/d**(7\/2)))\/d)\/d))**4\/(d*d**(3\/5)*d**12) assuming d is positive.\nAnswer: d**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.09, 1, 4, -3, 1\/12?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 2*b = 160. Let p = b + -2. What is the least common multiple of 3 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6521 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3318 is divided by 115.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 348*g + 20 - 29 - 346*g - 49 as d + n*g and give d.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -117 - -1. Let k = v + 120. Calculate the remainder when 17 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 k, and 2 m when four letters picked without replacement from zzkzkmmvzmkakkmkkmz.\nAnswer: 175\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-24)*2)\/(204\/18). Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*u + 1 = 504 + 19 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11685, 18227, 29121, 44361, 63941, 87855?\n\"Answer: -m**3 + 2182*m**2 + 3*m + 9501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 32?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9913 = b + v, 3*b + 171*v - 173*v - 29739 = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 + -101. Let l = 36 + r. Let o be l\/9 - 128\/(-90). Is 2 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/19)*f*f**5*((f\/(f**2*f))\/f)**(-42))\/((f**(-3))**(-3\/7))**(-48) assuming f is positive.\nAnswer: f**(25778\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 66*c**2 - 28. Let z(s) = -7*s**2 - 2*s + 3. What is -b(d) - 8*z(d)?\nAnswer: -10*d**2 + 16*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4533 is divided by 2257.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxjx when four letters picked without replacement from {j: 11, x: 9}.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 31 = 51. Let f(o) = 2*o**x + 4*o - 79 - 14*o**3 - 6*o + 80. Calculate f(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9162, -14070, -18962, -23838?\nAnswer: -28698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 21. Let t be c*((-68)\/(-20) - 3). Let u be (1 - t)*(-8)\/8. Sort -12, u, 5 in decreasing order.\nAnswer: 5, u, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 221.06 + 2.94. Let y = 220.93 - s. Let j = y + 0.07. Is -2 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**8\/p*p*(p\/(p**23\/p))\/p*p assuming p is positive.\nAnswer: p**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/(-725)*-890 + -6*(-2 - 76\/(-40))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2. Let p(d) = 261*d + 5. Calculate a(p(r)).\nAnswer: -68121*r**2 - 2610*r - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 19624.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(210\/(-5))*-4)\/2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 8*i**3 - 5*i**2 - 60*i - 15. Let b(v) = -3*v**3 + v**2 - 3*v + 3. What is -5*b(o) - k(o)?\nAnswer: 7*o**3 + 75*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -38.3. Let b = 2.18 - 0.18. What is the third biggest value in b, u, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -11*a**3 - a**2 + 3*a + 1. Give m(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o**2 - 2*o + 1. Let d be i(1). Let z = 7 + d. Suppose 7 = 2*r - 3*m, -4*r = -0*r + 4*m - 24. Calculate the highest common factor of z and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1210, 1178, 1146, 1114, 1082, 1050?\n\"Answer: -32*t + 1242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33090 to the power of 1\/2, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76892?\nAnswer: 2, 47, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4907 = -952*u + 16037 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1595, 0.3, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - ((-11)\/22)\/((-2)\/4). Suppose u*c - 11*c + 3*y + 20 = 0, 0 = 2*c - 5*y - 27. Solve 4*w = -3 - c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 11113*o + 66733. Calculate q(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 157 = 3*r. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by -15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tror when four letters picked without replacement from {t: 1, o: 2, k: 1, a: 4, r: 2, s: 2}.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3079*s + 26212 = 977 + 143510 + 51070 for s.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 7. Let k = u - 4. Differentiate -2 - 4 + 4 + n**k wrt n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**4)\/n**(-5\/7)*(n\/((n**(-7\/5)*n)\/n))\/((n**(7\/2)\/n)\/n) assuming n is positive.\nAnswer: n**(463\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/70837 (b) 1\/171 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-12)\/180*-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -41122?\nAnswer: 41114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**3 + 9*y**2 - 3*y + 3. Let t(o) = o + 1. Let f(j) = -3*t(j) + u(j). Determine b so that f(b) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/6 in 0.03, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j - 716 = 20. Let q be -3*((1 - 19) + 1). Let f = j + q. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 324 = -5*v, 3*v - 121 = -4*d + 282. What is the remainder when d is divided by 42?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 226676 and 488?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -3*s + 18 - 34, 44*t + 8 = -2*s + 42*t for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s - 3 = 0. Suppose 0 = -s*q + 8*q - 5*a - 50, -2*a - 30 = -4*q. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rfinnniininnifsffnfn. What is prob of picking 2 n, 1 r, and 1 f?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*j + 22, -25 = -3*j - 4*n - 8. Put -3, j, 0.07, -1 in ascending order.\nAnswer: -3, -1, 0.07, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10, -33, -66, -109, -162, -225?\n\"Answer: -5*y**2 - 8*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1431)\/(-81) + -20 + (-160010)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {d: 1, x: 2, u: 2, t: 2, s: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4956577345 to the power of 1\/2, to the nearest integer?\nAnswer: 70403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 5*f - 29 = 0, 23 = 4*f + 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(10\/(-3)))\/(6\/20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Suppose 3*d - 8*d = 5*x - 15, -3*d + 5 = -x. Suppose 0*r + 4*r - 20 = 0. Sort n, x, r in descending order.\nAnswer: r, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 5*h + 4. Suppose -2*y - 2*b + 7 = -5, 2*b = 4*y - 18. Let l be r(y). Suppose -154 = -3*f - l*f. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8485995*a - 9194248?\nAnswer: -8485995","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.179362um in nanometers?\nAnswer: 8179.362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*h + 168 - 100 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1641093 is divided by 215?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-15)*1540\/(-44).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmum when four letters picked without replacement from {u: 2, m: 2, k: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7669, 7672, 7675?\n\"Answer: 3*d + 7666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30962?\nAnswer: 2, 113, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 13*v + 171. Let t be w(-13). Let c(o) = 2*o - 5. Let s be c(t). Is 2\/267 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 349017454*u**2 - 56156150 wrt u?\nAnswer: 698034908*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(1\/2)))**19*(b**(-2\/11))**(6\/7))**23 assuming b is positive.\nAnswer: b**(33097\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**3 + 41*t**2 + 25*t + 16. Let s(b) = -b**3 - 10*b**2 - 6*b - 4. Let v(k) = 9*s(k) + 2*y(k). Let c be v(8). Let o = c + 60. Is o a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 7:31 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 189 = -6*a, 12 + 0 = 4*a - 124 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 194400 to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -36180.\nAnswer: 180900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -245*t**2 - 6*t + 249. Let u(s) = 244*s**2 + 8*s - 248. Let n(a) = -4*g(a) - 3*u(a). What is the first derivative of n(z) wrt z?\nAnswer: 496*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u = 24*u + 12. Let s(l) = 5*l**2 - 8*l - 2. Let r(f) = -6*f**2 + 9*f + 2. Let k(m) = 4*r(m) + 5*s(m). Let j(a) = -a. What is u*j(w) + k(w)?\nAnswer: w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 152140330?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -5, 4, 6 in descending order.\nAnswer: 6, 4, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 913 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37733829?\nAnswer: 3, 7, 17, 19, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(2\/9)*o*o*o*o**(-7))\/(((o*o*o*(o*(o*(o*o*o**(-10))\/o*o)\/o*o)\/o*o*o)\/o)\/o)**(-2\/3) assuming o is positive.\nAnswer: o**(-40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (-9)\/((-9)\/(-4)). Let d(u) = -u**2 - 4*u + 16. Let l be d(c). Suppose 0 = -k - 5*g + 186, 0*k + k - 182 = -l*g. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 10:25 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5712418\/13 or 439418?\nAnswer: 5712418\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 199 - 23. Let v(f) = -2*f**2 + 2*f - 7. Let x be v(7). Let k = t + x. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 7. Let y be j(4). Is 10 a factor of y\/5 + 18291\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-45)*170\/(-68)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and -4932?\nAnswer: -49320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 11:42 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 51\/10, 6\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*a + 23203 = 235193, -3*o = a - 317977. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 8:25 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {g: 1, r: 19}.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 480 + b3?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032966 rounded to 3 dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -4. Let a be (-447)\/t - (-1)\/1. Suppose 2*o = 4*p - a, -2*o = -0*p + 2*p - 224. Calculate the highest common factor of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-1 + (-32 - 3 - -7) - -5).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - j = -5*j + 21, -7 = -2*h - 3*j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1621 - 1603. What is the remainder when 646 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, u: 8}. What is prob of picking 2 u?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (478*x + 122*x + 1 + 201*x - 1)*(3*x**2 - 2*x**2 + 0*x**2).\nAnswer: 801*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11953344 and 19922240?\nAnswer: 59766720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1652 is divided by 207.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 94. Let t(j) be the first derivative of -j**2\/2 - 31*j - 31. Let w(h) = 3*b(h) + 8*t(h). Determine w(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 167600211.\nAnswer: -167600211.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*d + 12 = -44*d. Suppose -l = -s + 1668, 4*s - 6682 = -2*l + d*l. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -12. Let t be 8\/(-21)*21\/28. Which is the closest to -0.1? (a) n (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/110)\/((-25)\/675*54\/(-30))\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10111010001 (base 2) to base 3\nAnswer: 2001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/6 + 14 + (-15 - 2). What is the nearest to j in 1\/2, -1\/5, -46?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -326 - -314. Let s be 1\/2 - w\/(-96). Which is the closest to -1\/4? (a) -1 (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146435 - 73118 + 2*c**2 - 73099 + c**2 - c**2.\nAnswer: 2*c**2 + 218","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = 6*t - 1. Let k be ((-11)\/(-2))\/(t\/(-8) + 4). What is the highest common factor of 154 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 326873838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(114)\/sqrt(150) + 0 + (-1 + sqrt(304))**2.\nAnswer: -9*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 5*u**2 - 7*u + 7. Let l be m(6). Solve c = -4 - l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -256916 by -4.\nAnswer: 64229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**3\/3 + h. Let q(k) be the second derivative of 0 - 5\/6*k**3 + 0*k**2 + 27*k. Give q(u(m)).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + (105\/14)\/15*-8)\/(-6). Let d(o) be the second derivative of -27\/2*o**2 + h - 13\/3*o**3 + 24*o. What is the first derivative of d(x) wrt x?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1183, -4739, -10667, -18967, -29639, -42683?\nAnswer: -58099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1) + -8 + 9 + 1 - -12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 14. Let z(x) = -x**3 - x + 84. Let c be z(a). Let j = c + -46. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8899*r - 10. Let o be q(1). Let f = -5068 + o. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110110 (base 2) to base 12.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k = 39*k. Suppose -1 = -c - k*c. Which is smaller: c or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 10:27 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15893519*u**2 + 54752322?\nAnswer: 31787038*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -35. Suppose -7*u = 2 - j. Put -1, u, 5 in descending order.\nAnswer: 5, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6138.\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 7*x + 6. Determine i(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27210750 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1661981628 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -12*f**3 + 4*f**2 - 2*f - 5. Let y(j) = 34*j**3 - 11*j**2 + 5*j + 14. Calculate 11*i(p) + 4*y(p).\nAnswer: 4*p**3 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 39418229 (b) -6 (c) 1\/3 (d) 4\/5 (e) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, t: 1, r: 1}. Give prob of sequence rt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.8553 and -0.350261?\nAnswer: 0.505039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -631.029 - -0.029. Let z = 619.68 + f. Let y = z - -11. Round y to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from {t: 4, s: 2, r: 3, f: 9}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.4 - -8.1. Let g = 5 + u. Which is the third smallest value? (a) -3 (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 778432270 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11789297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*n**5 - 1748034*n**4 + n**3 + 53482708*n**2 wrt n.\nAnswer: -240*n**2 - 41952816*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 13432\/14945?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47011914?\nAnswer: 2, 3, 521, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 48*q**2 - 198*q - 43. Give s(5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 22.\nAnswer: -7\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = n - 299 + 285, -2*n + 22*r + 348 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -0.5 (c) -0.05 (d) 1 (e) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*f + 1203 = -579 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l + 2*l - 2*l**2 - 1 - 2*l. Let r(h) = -7*h**2 + 11*h - 4. Suppose 2*b + 4 = 3*z - 8, -3*b + 15 = z. Determine z*r(y) - 22*v(y).\nAnswer: 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**3 + p**2 - p + 1. Let m be l(1). Is 21 a factor of (-2)\/(2\/(-45)) - m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*l\/((((l**(-18)\/l)\/l)\/l)\/l)*l*l))\/l)\/l)\/l)\/(l\/(l*l**(26\/7)*l)*l) assuming l is positive.\nAnswer: l**(-170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**2 + 141*o - 1218. Calculate z(11).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(68) - -1*2*sqrt(68) - (sqrt(68) + -3*-1*sqrt(68))*5)**2.\nAnswer: -68*sqrt(17) + 19653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -2, 1, -4 in decreasing order.\nAnswer: 1, -2, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 120 = -g. Suppose -15*t = -12*t - 576. Calculate the greatest common divisor of t and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 230748517 * 0.4.\nAnswer: 92299406.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149924?\nAnswer: 2, 37, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 - 34 = 3*q. Let m = 75\/4 - q. Sort m, 1\/3, -1.\nAnswer: -1, m, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((-4*(sqrt(133) - (2*sqrt(133) + sqrt(133)) - sqrt(133)))\/sqrt(7))**2*1)*4.\nAnswer: 10924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 18225662*u**2. Let j(x) = 3*x. Determine z(j(v)).\nAnswer: 164030958*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 482218045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7950*a - 7953*a + 15895*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 8 - 3*h**2 + h**2 - 3106*h**3 + 2*h**2 + 3719*h**3 to u*h**2 + a*h**3 + p + i*h and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/11 and (-1225)\/(-350) - (1 + 1106\/(-1104))*-1874?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1725*l**2 + 47*l**3 + 2*l**4 + 21*l - 1727*l**2 + 3*l - 2 in the form i*l + m*l**3 + c*l**2 + u + a*l**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-35))\/(32\/(-160)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 620416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 0*h**2 + 2*h**4)*(0 + 0 + 2)*(-1 + 3 + 0)*(-1 - 2 + 6).\nAnswer: 24*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2442948 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/((l*l**(-16))\/l)*(l*l*l**(7\/6))\/l*(l**11)**(11\/3) assuming l is positive.\nAnswer: l**(119\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -335388*u**2 - 258994 wrt u?\nAnswer: -670776*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 12*l. Let s(v) = -28*v + 54*v - 22*v. Determine -5*r(u) + 16*s(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 17*f**6\/720 - f**4\/6 - f. Let i(u) be the third derivative of r(u). Is i(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 12*l - 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6208\/5 + (-21)\/35. Let z = j - 840. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 119 + -100. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-1 - (-3 - -7)). Sort 0.4, 3, o in ascending order.\nAnswer: o, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/8 + 629\/68. Let t = -10 + q. Is 0 + 0 + (t - (-65 + 1)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102111202210 - 0?\nAnswer: -102111202210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101 - -92. Let p be (-1 + 3\/6)*0\/t. Solve o - 13 = 3*v - 0*v, p = 4*o + v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 118*j**2 - 34*j**2 + 43*j - 15*j + 63*j**2 - 23*j to i + m*j**2 + x*j and give m.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 91 = l + 2*h, -l = 4*h - 51. Suppose l = -3*k + 172. What is the greatest common divisor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -104, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110351 (base 7) in base 16?\nAnswer: 4bbf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 2*z + 3*z + q, -z - 5 + 12 = q - 3 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 20. What is w(-27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 - 1)*(-4 + 3 - 2) + (0 + 2 - 4)*(-2 - 1 - 4))*(-6688 + 64*n**3 + 6688)*(-2*n + 3*n + 2*n) to p*n + h*n**4 + o + c*n**3 + x*n**2 and give h.\nAnswer: 3264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 25, 1883, -4, 1\/12?\nAnswer: 1883","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 221122 (base 7) to base 5\nAnswer: 2220244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 17. Let u = -0.467 - -14.477. Let d = u - l. What is d rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*p - p. Let x(b) = -b**2 + 5*b + 3. Let o be x(p). Suppose -o*d - 15 = -8*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2598359772 to the nearest integer?\nAnswer: 50974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -12*f**2. Let m(s) be the first derivative of 43 + 0*s + 0*s**2 + 7\/3*s**3. Calculate m(a(w)).\nAnswer: 1008*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 1 + 4*y**3 - 9*y**3 + 2*y**2 + 3*y**3 in the form v*y + u + x*y**2 + d*y**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edeedd. What is prob of picking 2 d and 2 e?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0 - 10 + 2 + 2 + (-2 + 0 + 4)*(3 - 1 - 1) + 2 - 2 - 1)*(-18 + 3 + 51)*(-3*n**2 + 2*n**2 + 4*n**2) in the form q*n + l*n**2 + w and give l.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 769491 times -5?\nAnswer: -3847455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 8 (c) -9 (d) -374 (e) -1\/4 (f) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34915924?\nAnswer: 2, 47, 185723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11855?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 102589247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 370566602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -4859?\nAnswer: -4854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {e: 4, x: 1, q: 8}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*w + 443 = -24*w - 2221 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31720.\nAnswer: 2, 5, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 367453736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*t + 17*t - 30. Let k(f) = -f + 4. Give k(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3275 + 3282. Let x(i) = i**3 + 5*i**2 - 2*i. Calculate the least common multiple of x(-5) and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 12\/7 (c) 15\/2672\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1238 + 1274 + -27 + 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5026658, 10053315, 15079972, 20106629, 25133286, 30159943?\n\"Answer: 5026657*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 26493d?\nAnswer: 26493f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -12 + -7 - -6) + (-21 - 92) + 14.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -13*v - 96. Determine k(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 734520929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155032 divided by 2.\nAnswer: 77516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0 + 3 - 4 + 0 + 1 - 4 + 5 + 0 - 4 + 5 + (-3 + 2 - 1)*(1 - 1 + 1) + 2 + 0 + 0 - 1 + 0 + 0)*(-77 + 52 - 77)*(0*i**5 - 2*i**5 + 0*i**5).\nAnswer: -408*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41431023 (base 5) to base 2.\nAnswer: 1010011101001101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-203)\/28 + 7)\/((-3)\/36).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*a - a**3 + 34*a + a**2 - 81*a to the form v*a**3 + b*a**2 + d + f*a and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 105?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1458085 * 41.\nAnswer: 59781485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 13*l**3\/2 - 29*l - 8. Let a = -82 - -17. Let n = a - -92. Let q(p) = 3*p. Determine n*q(c) - 2*z(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 60 - -116?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.53 + -0.03. Let y = b - -0.5. Let c = y + -24.94. Which is smaller: c or -2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102130 and 80.\nAnswer: 817040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + (((5 + sqrt(300))*3 + sqrt(300) - sqrt(300))**2 - (sqrt(300) - (-5 + (sqrt(300) + -5)**2))) + 5).\nAnswer: -16240 - 3950*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 12 = -7*t, -20*t + 23*t = -k - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/((-39)\/(78\/6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (2 - (-25)\/2). Let q = 251\/14 - y. Sort -3, -1\/6, q.\nAnswer: -3, -1\/6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -253, -256, -271, -304, -361?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -6. Suppose -3*m - x = -17. Suppose -16*l + 24 = -13*l + 3*v, 3*v = 3. Calculate the remainder when l is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3621*r - 245083 + 24202 for r.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/(-95))\/((39\/(-260))\/((9045\/(-40))\/(-9)))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33\/52 + 18\/13. Factor 1\/4*x**3 + n*x**4 - 3\/4*x**2 + 0 - 1\/2*x + 1\/4*x**5.\nAnswer: x*(x - 1)*(x + 1)**2*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-8)\/(g*g**(-1\/3)*g)*((g**(-12)\/g)\/g)\/(g*g*g*g\/g**7))**(-6\/17))**31 assuming g is positive.\nAnswer: g**(3844\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-2))\/(((-55)\/40)\/11). Let f = q + 38. Suppose -8*z + f = -10. Solve 0 = -z*b - 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 1 - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -12. Let y(z) = -z**2 + 20*z - 7. Let g be y(d). Let t = 4 - g. Calculate the greatest common divisor of 88 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 12*k**3 + 12*k**2 + 24*k - 32. Let z be a(-15). Let g = z + 65095. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -345 divided by 37\nAnswer: -345\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4216 and 146200?\nAnswer: 4532200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -301\/183844?\nAnswer: -301\/183844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/10 + 54\/10. Let r(w) be the first derivative of -7\/2*w**2 + 9 - w. Let q(j) = 6*j + 1. Calculate x*r(y) + 6*q(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 11. Let o(x) = -x**3 - 8*x**2 + 6*x + 12. Let j be o(-9). Suppose 0 = -4*c + j + 9. Sort z, 0, c.\nAnswer: 0, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 2. Let i(s) = -s**3 + 2*s**2 - s. Let m be i(1). Sort m, c, -4.\nAnswer: -4, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -194479 = -0.28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 33 (b) 9 (c) -0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 10*z**2 - z + 14. Let f be l(10). Suppose 4*m = -3*w, f*m = 3*w + 21 + 3. Solve m*x - 20 = 8*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126, -252, -378?\nAnswer: -504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06716245 - 0.10283679. Let r = m - -0.17. Round r to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -13183516.\nAnswer: 1\/3295879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 125?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 9) to base 6.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*d**5*n**3 - 11*d**4*n**3 + 338*d**2 - 11*d*n**3 wrt d.\nAnswer: 720*d**2*n**3 - 264*d*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2356310 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 16*y**2 + y. Give v(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**3 + 1995*j**2 - 22500*j + 20500 = 0 for j.\nAnswer: -410, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13256, 26332, 39408, 52484, 65560?\nAnswer: 78636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 90\/12*12\/5. Let f = 15 - s. Let r be (-6)\/(-2 - f\/6). Solve -2*j = -g - g, 0 = -4*j - r*g + 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -3*r + 3*s, 2*s = -2*r - 3*s - 72. Let c be (r\/(-10))\/(((-3)\/15)\/(-1)). Suppose 16*b - c*b = -156. List the prime factors of b.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 1:21 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 329*i - 6 + 484*i)*(-2 + 1 + 0) to a*i + l and give a.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -343854 + 0?\nAnswer: -343854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*o**3 + 8*o**3 + 9*o**3 + 11*o**3 - 7*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d - 6. Let j(u) = u**3 + 3*u**2 - 4*u + 2. Let m be j(2). Let c = m + -8. What is the least common multiple of y(-4) and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 - -1 - (27\/(-21))\/(738\/(-6888))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*k*v**3 + 2*k*v**2 + 362936*k*v + 2884898*v**3 + 13*v**2 - 2*v + 2 wrt v.\nAnswer: 372*k + 17309388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 3*v**2 - 4*v - 4. Let i be m(4). Let k = i + 15. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15836 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -74, -398, -992, -1844, -2942, -4274, -5828, -7592?\n\"Answer: 2*t**3 - 147*t**2 + 103*t - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 7 - 17 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -98*c**6 - 628*c**2 + 131*c**2 - 269*c**6 wrt c.\nAnswer: -44040*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*g - 66 = 0, -4*g = 5*o - g - 33. Sort -2, o, 1, -9 in ascending order.\nAnswer: -9, -2, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 1417*b**4\/4 - 35*b**3 - 46*b**2 + 2. Let t be k(5). Round t to the nearest one thousand.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 - (12 + -14 + 36)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.395 and -19277143.\nAnswer: -19277143.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/224 and -93\/16.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 + 17*s**2 - 9*s + 12. Suppose -4*r - 59 = -91. Let u be i(r). Solve 0 = u*m - 1 - 19 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2*r**2 - 4 + 1 - 3*r**2 in the form s*r + b + f*r**2 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27377369.\nAnswer: 43, 787, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70234 and 1?\nAnswer: 70234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27081326*m**3 + 29*m**2 + 27*m + 261 wrt m.\nAnswer: -162487956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**3 - 2 - 1\/20*z**5 - 5\/4*z**2 - 3\/4*z - 3\/8*z**4. Factor r(q).\nAnswer: -(q + 1)**3*(q + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 5*a**2 + 11*a**2 - 6*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 20 = 2*n, -4*d - 5*n = -16 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -8 - (-7 + 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huuu. What is prob of picking 2 u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.6, -2.61, -2, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96 + 48. What is the common denominator of f and (-38)\/4 - (-6)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*m + 49*m + 12*y + 9244 = 0, -5*y + 15 = 0. Calculate the smallest common multiple of m and 360.\nAnswer: 41760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 194059567715?\nAnswer: -194059567719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - 7 - -25) + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41 + -4?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 106475145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1397 = -14*a + 7585. Is 26 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 11) to base 8\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**3 + 21*b**2 - 27*b + 30. Let i(h) = h**3 - 7*h**2 + 9*h - 10. Let n(w) = 2*g(w) + 7*i(w). Is n(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 49. Let h = w + 29. Suppose -2*u = -h*i + 3*i - 73, -52 = -2*i + 2*u. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16440171?\nAnswer: 3, 11, 61, 8167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + 9*z + 3. Let x(t) = 211*t**2 - 5 + 36*t - t**3 - 227*t**2 + 0*t. Let o be x(-18). Let m(c) = -c**2 - 4*c - 1. Determine o*m(k) - 2*s(k).\nAnswer: k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 4*n**2 + n - 1. Let g be l(-4). Let z = g - -6. Differentiate -j + 4 + z - 4 with respect to j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vedveeevdhee. What is prob of sequence edh?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -208\/7. What is the closest to 0 in -8\/7, r, 2, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 a factor of 4281960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 14) to base 2.\nAnswer: 11100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 11*t**2 - 99*t - 10. What is o(9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 6*m**2 + m + 7. Let d be o(6). Suppose -z - 5 = -d. Suppose -3*w = -z*w + 40. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**5\/300 - 9*o**4\/4 + 1215*o**3\/2 + 2*o**2 + 129. Factor z(p).\nAnswer: (p - 135)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11*1)\/(((-2090)\/(-380))\/(11\/2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + sqrt(891)).\nAnswer: -6 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1470\/5953 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 58*i**2 + 13*i - 1112. Let q(n) = -13*n**2 - 3*n + 278. Determine -2*o(j) - 9*q(j).\nAnswer: j**2 + j - 278","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y + 9191 = 8869 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*c - 81, -n + 6*c = 2*c - 25. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1452*d + 17417 + 1707 + 17577 + 21379 for d.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4937 and 0.4?\nAnswer: 1974.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7238 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -67 + -1?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 230137, 460267, 690397, 920527, 1150657, 1380787?\n\"Answer: 230130*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w = x + 25*w - 7, -x + 5*w = 0. Solve x*t - 45 + 60 = 5*k, -2*k + 2 = -t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*d + 15. Let l(z) = -9*z**3 - 53*z**2 - 42*z - 6. Let c be l(-5). Sort -5, d, c, -7 in increasing order.\nAnswer: -7, -5, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -k - 17, 256*x + 268*x + 3*k - 59 = 534*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4142176 to the power of 1\/2, to the nearest integer?\nAnswer: 2035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**4\/4 - 11*s**3\/3 - s**2\/2 + 18*s - 7510. Calculate b(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.259947 to 2 decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -20*j + 11*j + 18 + j**2 + 10*j. List the prime factors of t(-9).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 534, 1640, 4548, 10158, 19370, 33084, 52200?\n\"Answer: 150*x**3 + x**2 + 53*x + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gddgdgddddg.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94158?\nAnswer: 2, 3, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a - 6*a + 8*a as h*a + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -156 - 7685\/636*-12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1189, -2325, -3461, -4597, -5733, -6869?\n\"Answer: -1136*l - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 118071036 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 977*s = 975*s + 4402, w - 860 = 3*s. What are the prime factors of w?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95561829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6058845 to the power of 1\/2, to the nearest integer?\nAnswer: 2461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 10 - 7) + (3 - 7) + -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51 by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/(sqrt(4)\/sqrt(2)))\/((sqrt(81) - (sqrt(81) - 2*sqrt(81)) - sqrt(9)) + sqrt(9)))**2*-2.\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -268*r**3 - 1. Let l = -9 - -12. Suppose -6*i + l*i - 6 = -n, -13 = i - 4*n. Is p(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - 56746357?\nAnswer: -56746348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 10*n**2 + 6*n - 7. Suppose -4*u - 3*w - 48 = 0, -25 = 6*u - u - 5*w. Let j be v(u). Calculate the highest common divisor of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 103*f - 104*f + 2*s + 19001, 2*f + 4*s = 38002. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*x - 838 = 0, 349 = -0*j + 2*j - 3*x. Let a be 122\/(2\/j*-2) + -2. Let r = a + 7454. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426 = -47*s + 44. Calculate the highest common factor of 16570 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.133 + 2.613. Let d = j - 0.48. Which is smaller: d or 11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/12*-2 - -1)*(-293 + 289). Let k = -0.8 - -0.3. What is the third biggest value in 0.3, d, k, -8\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**5 + 8*u**4 + 24*u**3 - 32*u**2 - 20*u + 24 = 0. Calculate u.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4 - 2 = 2*f, -2*l + 12 = -4*f. Let b(j) = 4*j**2 + 2*j + 3. Let n be b(f). Let w = -17 + n. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185783, -186037, -186291, -186545, -186799?\nAnswer: -187053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -8, -3*h - 2*a + 0*a + 13 = 0. Suppose -5 = -3*o - 3*x + 4, -9 = 4*o - h*x. Solve 2*n + 10 = -o*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -7) + -15 - 13?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**4\/12 + g**3\/9 + g**2\/3 - 4. Factor d(j).\nAnswer: -j*(j - 2)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -61353, -61353, -61351, -61347, -61341, -61333?\n\"Answer: l**2 - 3*l - 61351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**4\/4 - p**3\/3 + 3*p**2\/2 + 4*p + 3. Let i be f(-4). Suppose 4*s = i + 24. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-120)\/180*(-1)\/(171\/78) and 46\/891.\nAnswer: 16929","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 5428584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 266 (base 12) to base 6.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a day in minutes?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(3645)*-1*-5 + sqrt(3645)))\/(1*-3*((sqrt(99) - 3*sqrt(99)) + sqrt(99))\/sqrt(11)).\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5 = 2*g - 1, 0 = 2*c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 924 and 352?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*y**3 - 40*y**3 - 290*y**3 - y**3 + 2 - 2 + (3 - 2 + 0)*(0*y**3 + y**3 - 2*y**3) + 3*y**3 - 3*y**3 - 2*y**3 - y**3 - 2 + 2)*(23 - 23 - 7*y).\nAnswer: 1967*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2265)\/(-3) + (1 - -3). Let v = d + -452. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1074 divide 287964102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3476237?\nAnswer: 79, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j = 0. Suppose j = -2*i - 0*i + 32. Let o(x) = x**2 - 4*x + 7. Let d be o(2). Solve d*y + i = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one halves of a centimeter in millimeters?\nAnswer: 455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/1*8\/6. Let l(x) = -2*x + 1. Let o be l(8). Let d = k + o. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 13\/12*q**4 + 18*q**2 + 3\/20*q**5 + 0 + 0*q**3 + 0*q. What is the second derivative of x(t) wrt t?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y + 3*y + 18*y - 1)*(-3 + 3 + y**2) + 0*y**2 + 2*y**3 + 0*y**2.\nAnswer: 15*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1377631 to the nearest integer?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3\/5 - 24205084*i**2\/5 - 77456192*i - 1549123328\/5 = 0?\nAnswer: -12102526, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22414, 22439, 22464?\n\"Answer: 25*f + 22389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + sqrt(110)*-2 + sqrt(110) - sqrt(110))\/sqrt(10) - -4*sqrt(33)\/sqrt(3)) + 2 + -5.\nAnswer: -3 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 81138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -924.1 and -1.\nAnswer: 924.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54838 or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 34*m**2 + 33*m + 131. Let h be j(-32). Suppose -12*n - 27*n = -h. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 370.46224 to the nearest ten.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 23*z**2 + 69*z + 56. Does 9 divide v(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 18*t - 21*t = 30, -2*t - 13 = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -5, 0.18, -0.1, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 80.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/8)\/((-1)\/(-6)). Suppose 3*y + 3 - c = 0. Suppose 5*k = y*k + 222. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3 = 8*f, -i + 2*f + 6 = 0. Solve -28 = 3*v + 4*p, 3*v + i + 4 = p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*((-3)\/(-1) + -68). List the prime factors of n\/2 - (-1)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 - 11*m + 13. Let h be p(-17). Let f = -187 - h. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, b: 2, s: 2}. What is prob of sequence spb?\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*k + k**2 + 101*k**4 + 2*k**3 - 4*k + 0*k**3 - 68*k**4 to the form d + t*k**2 + c*k**3 + g*k + j*k**4 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1884 + -733. Calculate the remainder when b is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 16*p + 3*p)*(4*p**2 - 2*p**2 - 3*p**2) - 5*p**2 + 5*p**2 + p**3 - 2*p.\nAnswer: -14*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*g**2 - 1 + 85*g**2 - 5*g**2 - 1463*g in the form n + f*g + u*g**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3 - 117134*f**2 - 3431381600*f - 75433712992 = 0.\nAnswer: -58556, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/2)\/(t\/(t\/(t*t*(t*t*(t\/(t*t**40))\/t*t)\/t*t))) assuming t is positive.\nAnswer: t**(73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (37 + (-545)\/15)*(-7)\/91\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5044 by 4.\nAnswer: -1261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.536 - 3.736. Which is the nearest to 2\/5? (a) z (b) 0.5 (c) 3 (d) 76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*r - 13 = 0, -5*y - 4*r - 20 = -54. Suppose s - 20 = 2*i, -2*s = -7*s + 10. What is the least common multiple of y and 14*i*(-2)\/21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 3, k: 3, p: 1, a: 1, t: 1, w: 5}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4036.863mg in grams?\nAnswer: 4.036863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/1191 and 133\/6.\nAnswer: 2382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r + 13*r**3 - r - r - r**2 + 1 as t*r**3 + k + l*r**2 + i*r and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 16 - 1 - 6 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 b, and 2 g when four letters picked without replacement from {b: 4, g: 3, o: 9}.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6*1)\/((-1)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 717 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(3)) - sqrt(108)*1)**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.213104 millilitres?\nAnswer: 0.002213104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1103 divide 2765221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 34. Let v be x - 4 - 1 - (-22 + 1). Solve -5*s - v = -9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48.451 + -52.1281. What is z rounded to one dp?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + b = -15, 102*b - 21 = -v + 97*b for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 11 = -4. Suppose -2*o + p*b + 6 = 2*b, -4*b = 4*o. Solve -z = o*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 241714, 241736, 241758, 241780?\nAnswer: 241802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9011389 is divided by 1063.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 + 2)*(5*j - j - j) - 5*j + 4*j + 0*j)*(-j**2 + j**2 + 6*j**3) to the form x*j + t + y*j**3 + g*j**4 + s*j**2 and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) -0.3 (b) -6 (c) -9461 (d) -205\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 9:27 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*g - 24 = 0, 11*g + 14 = 5*s + 8*g. Suppose 2*h = 2 + 42. What is the least common multiple of s and h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -258, -446, -562, -606, -578, -478?\n\"Answer: 36*z**2 - 296*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1364898?\nAnswer: 2, 3, 109, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 67*z**3 + 13*z**2 + 78*z + 13. Let i(q) = -33*q**3 - 6*q**2 - 39*q - 6. Let j(k) = -13*i(k) - 6*w(k). What is the second derivative of j(x) wrt x?\nAnswer: 162*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70363872 divided by 9?\nAnswer: 7818208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 + 5*m**5 + 1486*m**2 - 1486*m**2 + (3*m**4 + m**4 - 2*m**4)*(-2*m + 4*m + 0*m).\nAnswer: 9*m**5 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(11) + 0 - sqrt(11)) - sqrt(44)*3)**2.\nAnswer: -36*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21507389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(234))\/((2*sqrt(14))\/sqrt(7)).\nAnswer: 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30570042 to the power of 1\/2, to the nearest integer?\nAnswer: 5529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 3*h - 14 = 6*a, 20 = 6*a + 4*h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 995 is divided by 210?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -0.1. Let n = 833\/12 - 403\/6. Which is the closest to -1? (a) 1\/3 (b) f (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2\/9)*i*i\/i**(-3\/4)*i*(i\/((i\/(i\/(i*i*i**(1\/24)*i))*i)\/i))\/i**(-7\/6))**(-16\/5))**(-3\/47) assuming i is positive.\nAnswer: i**(118\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**5\/7 - 2632*u**4 + 238968*u**3\/7 - 605968*u**2\/7 - 202148*u + 257208 = 0.\nAnswer: -2, 1, 7, 4593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18385?\nAnswer: 5, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from wzwwwzwwwwwwwzgwwg?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*-1 + sqrt(5000))*3.\nAnswer: 126*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 876 and 4519284?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 1 + 2 = 0. Let w = -20707 - -9960073\/481. Let s = 1413\/2405 + w. Is s at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**2 + 11*f + 3. Let u(g) be the second derivative of -20*g**3 - 16*g**2 - 11\/3*g**4 + 0 - 15*g. Let s(l) = -32*n(l) - 3*u(l). Factor s(c).\nAnswer: 4*c*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhulhhulzhh. What is prob of picking 1 l and 3 h?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3183120 and 10?\nAnswer: 3183120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.62 + -0.62. Which is the third biggest value? (a) u (b) 4 (c) -2\/9 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 7:35 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l + 113. Let w(k) = 2*k - 38. Give -3*h(c) - 8*w(c).\nAnswer: 5*c - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -30 times -61.31\nAnswer: 1839.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6084121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.254 - -108.454. Let h = z + -107. Which is the second biggest value? (a) 14\/5 (b) -2\/9 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -206, -194, -174, -146, -110?\n\"Answer: 4*h**2 - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l + 17. Let g be m(10). Suppose -z + g = 2. List the prime factors of z.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429*w + 720 = 447*w. Let m(x) = 60*x**3 + 40*x**2 + 40*x + 40. Let p(j) = j**3 + j**2 + j + 1. Determine w*p(v) - m(v).\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44464\/9 + -10893311\/2205. What is the common denominator of j and 43\/322?\nAnswer: 11270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18895 - 11193. Is a != 7702?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 50\/(-13) - 8\/52. Let h(r) = -2*r**2 - 5*r - 2. Let x be h(g). Let a = x - -25. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s**7\/s*s))*s**(-6)*s)\/(((s\/(s\/s**0))\/s)\/(s\/(((s**(2\/17)\/s)\/s)\/s)))*(s**5*s*s**(9\/5))**(9\/7) assuming s is positive.\nAnswer: s**(10062\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-66)\/(-99))\/(7\/6 + -1). Suppose 0 = -a*x - 20, -5*f + 5*x = -f - 41. Suppose f*m - 10*m = -522. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 895956 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -8 (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, 2, -7, -3, 247 in descending order.\nAnswer: 247, 3, 2, -3, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (538 + -4)*(-8)\/(-2). Let l = n + -1081. Suppose -l + 203 = -4*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*p - 103*p + 37*p + 35*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 9\/40 (c) -2\/359 (d) -1 (e) 11\/2 (f) -3 (g) 0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 n when three letters picked without replacement from oonpopp.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 357437046 and 5238.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 117311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70472409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00622708 to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 47c12 + b?\nAnswer: 47c20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 1 + (6 - 1). Let r = 6 - x. Is (3\/(-3))\/(r\/(-194)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**2 - 84*i + 2065. Is 344 a factor of m(109)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3387.74 plus -27234?\nAnswer: -30621.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - h**2 - h - 1. Let d(b) = -b**3 - 10*b**2 + 35*b + 135. Let u be d(-12). Let s(q) = 11*q**2 + 11*q + 11. Determine u*s(c) + 33*m(c).\nAnswer: -33*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10223\/61554 + 6\/10259. What is the fourth smallest value in o, -0.1, 13, 11\/6, -0.5?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - -4)*(-5)\/(-25). What is the third biggest value in -3, l, 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-one halves of a day?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23240 - 23246. Let q(p) = 5*p - 16. Let s(w) = w + 1. What is c*s(o) + q(o)?\nAnswer: -o - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3672986 * -171.\nAnswer: 628080606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 79*g**2 - g - 26. Give c(-79).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 10*l**2 + 13*l. Let p(f) = 8*f**2. Give d(p(t)).\nAnswer: 640*t**4 + 104*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-3 + 2 - -2). Let c = -6769 + 6769. What is the nearest to c in s, 0.2, 31?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16982400 and 39059520.\nAnswer: 390595200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3))**(-13)\/((l\/(((l**(3\/4)\/l)\/l)\/l))\/l)**(-16\/7))**(5\/3) assuming l is positive.\nAnswer: l**(515\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b + 103. Let c be q(16). Solve 4*i - c = -3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-2))*t*t*t\/(t\/(t*t\/(t**(1\/4)*t)))*t*t)**(14\/5)\/((t*t\/t**(2\/9))**(-29))**(-1\/37) assuming t is positive.\nAnswer: t**(21001\/3330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 864*d**2 + 972*d**2 + 95*d**2 - 3040*d**2.\nAnswer: -1109*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 4*a = -10*n + 82400028, -n - 3*a + 20599979 = 0. Round n to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3241 or 55104\/17?\nAnswer: 55104\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 24. Let b = g + 12. Suppose 4*v - 49 - 27 = b. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 + 30*t + 2. Give g(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3256*c**2 - 36*c - 7. What is the remainder when k(-2) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 4957456.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -154 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 3*y**2 + y - 1. Let z be s(2). Let a be (-3 + (z - -4))*-1. Let q(o) = 18*o - 2. Does 17 divide q(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -402233348.7 to the nearest ten thousand.\nAnswer: -402230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/3 (b) 5 (c) -92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -19. Calculate the greatest common divisor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -188, -24 in decreasing order.\nAnswer: 4, -2, -24, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -42*t - 46. Let w be o(10). Let p = 4335 + w. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113372057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i**2 - 50 + 11 + 15 to d*i + w*i**2 + p and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 496 and 434?\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2 + 7*r - 1. Let w be z(-5). Let u = w - 15. Let g = u + -11. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 divided by 280?\nAnswer: 227\/280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28077?\nAnswer: 3, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 56313714 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5312 + -0.6612. Which is smaller: 2\/1147 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/47)*g)\/(g**(-1\/6)*g) assuming g is positive.\nAnswer: g**(59\/282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180) + sqrt(180)*-4*-5)\/sqrt(3))\/(sqrt(1728) + -1*sqrt(1728)*4))**2.\nAnswer: 245\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j - 6. Let t be m(14). Let h be (16\/40)\/(t\/(-135)). Is 2 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 30 = -3*b. Let z = 15 - 28. Let q(k) = -15*k**3 - 17*k - 4. Let a(n) = -7*n**3 - 8*n - 2. Calculate b*q(s) + z*a(s).\nAnswer: s**3 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**6\/(q**(-6\/7)*q)*q**(1\/7)*q**2 assuming q is positive.\nAnswer: q**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*i + 50*i - 5*i)*(2*i**2 + 180 - 364 - 2*i**3 + 183) to the form l + v*i + p*i**4 + x*i**2 + n*i**3 and give n.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3654, 0, -1785 in descending order.\nAnswer: 3654, 0, -1785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/22 and (-4 - -5)\/(-4)*(-37)\/2.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 25738 = 15884. What are the prime factors of w?\nAnswer: 7, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 3. Let k be p(-5). Let j be (120\/(-16))\/(2\/(-4)). Suppose -b - 5*q = -2*b - j, -2*b + 30 = k*q. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m + 5. What is f(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004879395 to 5 dps.\nAnswer: 0.00488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 + 45*a - 103*a**4 - 45*a + (3*a**3 - 3*a**3 + a**4)*(-1 - 5 + 5).\nAnswer: -104*a**4 + a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -c, -91*t - 20 = -90*t + 17*c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -24, -14, -4, 6?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3140*h - 4*m - 4 = -3138*h, 0 = 2*h - 4*m + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/376 and 17\/36.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*t**3 + 69*t**2 - 33336 wrt t.\nAnswer: -21*t**2 + 138*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 51603, 206435, 464505, 825825, 1290407?\n\"Answer: 2*d**3 + 51607*d**2 - 3*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/83730 and -97\/111640.\nAnswer: 334920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8853997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1468 = 3*z + 271. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.2 - 8.66. Let l = r + -0.84. Let x = -5 - -5.4. Which is the smallest value? (a) l (b) x (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2)*16\/(-25)*(-5)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -42008 times 7\nAnswer: -294056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-5)\/((-20)\/(-16)). Differentiate -2*w + w + 7 + h*w - 2*w wrt w.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7\/186344 + 2162149495\/1677096. Let o = w + -1294. Find the common denominator of 50\/7 and o.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-4)*(15 - 1). Suppose -6 = -3*x, n - 2 = -0*n + 2*x. Let o(c) = c - 3. Let y be o(n). Solve y*f + t = -0*k - 4*k, -4*f - 3*k = 35 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**2 - 1430*x + 714 = 0.\nAnswer: 1\/2, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 70790888 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34875401.\nAnswer: 11, 101, 31391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -56135 take away 31481?\nAnswer: -87616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 0. Let t = -4 - h. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 6*f**2 + 8*f - 5. Let v be b(7). Suppose 8 = v*g + 2*g. Let m(s) = 1 - s**2 + 0 - 2. Give m(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80792, 80819, 80846, 80873?\nAnswer: 80900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjx when three letters picked without replacement from {x: 1, j: 2, t: 2, z: 5, m: 4}.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 399 - 399.141. Let h = t + -12.519. What is h rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1846392*l**4 + 5*l**2 + 15974270*l.\nAnswer: -22156704*l**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 1 = 5*s. Suppose -2*g - s*q = -0*q - 15, 4*q = -4*g + 24. Find the third derivative of -g*l**2 + 0*l**2 + 7*l**2 + 4*l**3 - 2*l**3 wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 3*x**2 - 4*x - 5. Let i be g(4). Let v be (39\/(-15) + 2\/i)*1. Which is the nearest to -1\/2? (a) -1\/2 (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 6:03 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12100 and 80?\nAnswer: 48400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/4 + (-473)\/286. Let t = 58 - 61. What is the smallest value in w, -1\/3, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 1337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 18.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163*g**2*s + g*s - 12*g - 2*s wrt g?\nAnswer: 326*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**4 - q**3 - q**2 + q + 1. Let y = 34 + -24. Let i(w) = -5*w**4 + 15*w**2 - 10*w - 10. Let o(f) = y*j(f) + i(f). Suppose o(t) = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4027.06 days to microseconds.\nAnswer: 347937984000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1126*y**2 + 1663*y**2 + 7*y - 532*y**2 - 28. Give n(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1954 and -2?\nAnswer: -3908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56364 divided by -6.\nAnswer: 9394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -35*f**3 + 7*f + 10. What is the smallest common multiple of x(-2) and 10?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 2*l**2 + l**2)*(32*l**3 + 1241*l**2 - 1262*l**2 + 53*l**3).\nAnswer: 85*l**5 - 21*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/44 - (55 + (-4497)\/66)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37\/4 or 27\/6907?\nAnswer: 27\/6907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 55772.48m in micrometers?\nAnswer: 55772480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 315\/4 - 2771\/36. Let t = s - 158\/99. What is i in -2\/11*i + 0*i**3 + 4\/11*i**4 - 4\/11*i**2 + t*i**5 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72998 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**2 + 35*t - 382. What is j(0)?\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 45.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17221031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 2*x - 8. Determine s(-8).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4 - -0.6. Let s = -2630.8 - -2631. Which is the closest to s? (a) x (b) -3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3506*s - 10*s - 40558 = 2916*s + 139538 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 1\/5*z**6 - 1\/14*z**7 + 0*z**2 + 0*z**5 + 6*z + 0 + 1\/2*z**3 - 1\/2*z**4. Determine m so that n(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(21)\/sqrt(3) - (sqrt(1008)*1 + sqrt(7))**2.\nAnswer: -1184 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 101, 103, 103, 101, 97, 91, 83?\n\"Answer: -k**2 + 5*k + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*c = -4 - 16, -s + 4 = c. Suppose s = f - 4*f + 33. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69530424*c**3 - 35209190*c**2 wrt c.\nAnswer: 417182544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 566 + 566 + 46*n**3.\nAnswer: 46*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(384) + sqrt(384)*-2)*2)\/(-2*sqrt(48)))**2*-4.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -14904 divided by -1242\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 766299?\nAnswer: 2298897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a litre in millilitres?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -8, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642 a factor of 2681390926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 30*g + 253. Let d be p(-11). Which is bigger: 913\/21 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**5 - 1224*x**4 + 126066*x**3 - 248472*x**2 + 123627*x = 0.\nAnswer: 0, 1, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -23515 (b) 1 (c) -3910\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -367041, -367040, -367039, -367038, -367037, -367036?\nAnswer: -367035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, m: 2}. What is prob of picking 2 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -906, 7, 0.\nAnswer: -906, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + -4 - (-9)\/3. Let o be (0 - 1)\/(2\/(-10)). Sort -1, o, r in decreasing order.\nAnswer: o, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*c = 164, 2*c - 323 = 4*v + 3*c. Let t = v + 131. What is the greatest common factor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 1443 = -13*g. What is the remainder when g is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294820 is divided by 7190?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -0.3. Which is greater: g or 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 24. Let s = 18.07 - b. What is s rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5004424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1f8b28 (base 16) to base 8.\nAnswer: -7705450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, e: 1, o: 1, k: 1, r: 1}. What is prob of picking 1 d and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 2*w + 25. Let j = 7 + w. What is the remainder when j is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**3\/5 - 16*y**2\/5 + 3*y + 18\/5 = 0. Calculate y.\nAnswer: -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*b - 10 = 2, 5*l - 3*b = 15. Factor -4*f**4 + 2*f**4 + 10*f**l + 4*f**2 - 6*f**2 - 6*f**4.\nAnswer: -2*f**2*(f - 1)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(30))\/sqrt(10)*-6.\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 2*g + g)*(3*g + 0*g + 2 - 2*g).\nAnswer: -4*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1677 divided by -129?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**2\/7 - 5568*l\/7 - 266114\/7 = 0?\nAnswer: -47, 2831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 + 68. Sort -1\/4, g, -8 in decreasing order.\nAnswer: -1\/4, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 - (10 - 2))*(0 + -1). Factor 0*m**3 - 1\/4*m**4 + 0 + p*m + 0*m**2.\nAnswer: -m**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = g - 2*g - 10, -26 = -2*h - 4*g. Let b(o) = o**2 - 3*o + 6*o**2 + h*o. Let n(f) be the first derivative of -f**2\/2 - 2. Calculate n(b(v)).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.0043 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2*62 - (0 + 12) and 42?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 0, 11, -5 in decreasing order.\nAnswer: 11, 5, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14*4\/(-8) - -3. What is the nearest to q in 5\/4, 1\/15, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 15*s + 5*s)*(0*s + 0*s + 2*s**2) as o + g*s**3 + b*s + w*s**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86 and 5.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/((-2)\/12*-1). Let h(z) = -z**2 - 11*z - 5. Let o be h(-10). Let u be 4\/o*180\/6. Calculate the highest common factor of a and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 7:55 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6419 is divided by 347?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 21*n - 4. Suppose -72*t + 273 = -59*t. Calculate s(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllrr. Give prob of sequence lll.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*w + 7*w - 85*w - 48 + w with respect to w.\nAnswer: -61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -558 divided by -186\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*sqrt(143)*-2)\/(-1*sqrt(11)*3) + ((sqrt(325) + ((sqrt(325) - sqrt(325)*-2)*-6 - sqrt(325)))*-4)**2.\nAnswer: 2*sqrt(13)\/3 + 1684797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -543 + 183 = -8*v. Factor -v + 7*s - 5*s**2 + 16*s + 55.\nAnswer: -(s - 5)*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23*(-98)\/(-1288))\/(-14)*8*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*t + 16, 4*m - m + 6 = 3*t. Let c(r) = -14*r + 3*r + t*r + 5*r. Let i(g) = 2*g + 14*g - 2*g. Determine c(i(x)).\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0 = 4. Suppose 0 = -n + 2 + g. Is 321\/3*(8 - n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1678743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3834 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8196, -16395, -24594, -32793, -40992, -49191?\n\"Answer: -8199*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(5) - (-3 + (sqrt(5)*-4 - sqrt(5)))) + (sqrt(5)*-4*1 - sqrt(5))) + 0)**2*2.\nAnswer: 432*sqrt(5) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(27)\/sqrt(3)) + (-2 + sqrt(304) - sqrt(304)).\nAnswer: -2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -666 + 826. Suppose 0 = -6*c + x - 124. Solve -c = -8*d + 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10364979?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -751539 divided by 790\nAnswer: -751539\/790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6*b = 25. Suppose -9*y = -6*y + 2*m - 2761, 15 = 3*m. Let p = -925 + y. Sort p, b, -2\/7 in descending order.\nAnswer: -2\/7, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108296.4 hours in days?\nAnswer: 4512.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 308 + -349.95. Let w = j - -43. Let f = w + -0.05. Which is greater: -1\/11 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1346.000000495 - 1346. Round q to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, -24 in descending order.\nAnswer: 7, 1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 548500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3330 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 977*f + 15800 = 345*f for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*c - 5. Let v(o) = 58750*o**3 + o**2 - 3*o + 2. Let l be v(c). What is l rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10549\/122 - 2\/61. Let y = o + 89. Let z = -22 + 21.9. Which is the closest to 0.1? (a) -1\/6 (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1004 - -4a84?\nAnswer: 3a80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 6 = n, 0 = -2*n - 0*n + 4*x + 18. What is the smallest value in -0.5, n, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (182\/(-4)*2)\/(756*(-171)\/36936)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) 0.1 (c) 1 (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.34 - 0.339863. What is l rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -2. Let n = f - -10. Calculate the remainder when n is divided by (-39)\/(-12) + 2\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 9. What is the closest to 0.1 in -0.3, n, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + 2. Suppose -3*a = -25 - j. Calculate the greatest common divisor of 108 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2472155103?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/14*((-69)\/(-18) - 5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uootuuutp. What is prob of sequence to?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (-4 + 840\/48).\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: e6 (base 15) to base 10\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67720916 + 5?\nAnswer: 67720921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/(-182) + 39\/7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 12:18 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 330\/(((-22)\/77)\/(15\/(-21))). Calculate the highest common factor of 22 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (57 + 1)*804\/(-8). Let s = 186579\/32 + w. Calculate the common denominator of s and 57\/22.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**4\/12 - v**3\/6 + 83*v**2\/2 - 3*v + 11. What is the remainder when g(0) is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -w - 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 47895*q - 1198062. Give j(25).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 21*z**3 + 17*z**2 + 9*z + 10. Let k(m) = -m**2 + 2*m + 2. Give -5*k(y) + l(y).\nAnswer: 21*y**3 + 22*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**2 + 2*t + 4. Let p(x) = -3*x**2 - 2*x - 4. Determine -2*k(f) - 3*p(f).\nAnswer: f**2 + 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t = -20*t - 24. Is 23\/(t\/(-654)*-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 13591487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -2*sqrt(5103) - sqrt(5103))*-3 - (sqrt(5103)*2*4 + 3))*-3.\nAnswer: -81*sqrt(7) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3954*i*l**3 - 12*i - 82*l**2 wrt l.\nAnswer: -23724*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d - 16*d - 369 = 2*l, 2*d = 2*l + 244. Calculate the highest common divisor of d and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 43 + 53. Solve 7 + k = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.721555 - 0.017465. Let i = w + 0.74. Round i to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85554?\nAnswer: 2, 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -371380 = 756*f - 818*f. What is the thousands digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -272 divided by -136\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.345.\nAnswer: -0.1035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17.27 + 139\nAnswer: 121.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29.279991 months?\nAnswer: 0.243999925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 45.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x - 11. Let z be y(7). Suppose -85 = -z*m + 185. Let f = m + -13. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225061 is divided by 14066?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 5*o + 16, -5 = -2*o - 1. Let f = -9 - -13. Calculate the greatest common divisor of f and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*p = 13835 - 15849 for p.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 852042.12.\nAnswer: 340816.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2134 and 11125609?\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 13.91.\nAnswer: -13.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000139 to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7862 + -7530. Sort u, -4, -2, 5, -3.\nAnswer: -4, -3, -2, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 10:59 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74108 and 18336.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39796942873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4 + 17*d + 9*d - 6 + 21*d. Is r(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -10*a**2 - 2*a + 20. Let x(d) = 30*d**2 + 7*d - 60. Let j(v) = -7*q(v) - 2*x(v). What is the first derivative of j(i) wrt i?\nAnswer: 20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3 = -4*b - 15, -4*j + 2*b = -12. Suppose 2*g + 5*t = 183, -j*g = -0*g - 2*t - 227. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 1:18 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 1\/3, -144, 31, -1\/5, -37?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 7:59 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368983 is divided by 16037?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/34 + 3\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -2\/5, -0.293, -1.8.\nAnswer: -1.8, -2\/5, -0.293, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16182663 or 16182667?\nAnswer: 16182667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33126 - 33115. Which is smaller: -65.3 or v?\nAnswer: -65.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-3)*75\/(-20). Let s = g - -9. What is the tens digit of (8\/s)\/(5\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -240 + -4?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 155? (a) -1 (b) 0.04 (c) 2\/5 (d) -42\/5 (e) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 26*d. Let j(o) = 4*o. Determine j(i(m)).\nAnswer: 104*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*k**(-1)*(k**(-1))**(-15))\/(k*k*(k*k\/(k*k**(1\/2)*k))\/k*k**7*k*k*k)**30 assuming k is positive.\nAnswer: k**(-307)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, -0.5, -0.2, 234?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**5\/20 - 2*y**4\/3 - y**3\/3 - 3*y**2 - 2*y. Does 8 divide r(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5067da (base 15) to base 12.\nAnswer: -1342021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 + i**3 - 4*i**3 + (2*i + 0*i - 3*i)*(-83*i + 2*i**2 + 88*i - 4 - 1).\nAnswer: -5*i**3 - 5*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 9 + 18 - 22*h to b*h + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -15*f + 2. Let v(t) = -87*t + 16*t - 8290 + 8288. Give v(o(s)).\nAnswer: 1065*s - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*u + 12*u. Suppose u*d + 660 = 10*d. Calculate the remainder when d is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 19. Let d = x - -0.4. What is the nearest to 1 in d, 5, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4259015 and 90.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*r - 6*r - 31*r to the form y*r + d and give y.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3110.\nAnswer: 2, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 8*y + 2. Let o be z(-3). Solve 5*r + 2*g = -7 - 11, -o*r - 4*g - 16 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 4629.\nAnswer: 10\/4629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 3*z**5\/40 + 5*z**4\/8 + 3*z**3\/4 - 27*z**2\/4 - 13*z. Factor y(p).\nAnswer: 3*(p - 1)*(p + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/(-70))\/((-2)\/8). Suppose 3*t - 9 - 20 = 4*u, 5*t - 40 = 5*u. Which is the closest to -0.1? (a) w (b) u (c) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3 = 0, 5*o - 10*o + 11 = -4*f. What is the common denominator of f\/(-1) - (-17)\/20*-5 and -73\/88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 + 2*c**4 - c**4 + (-4*c**2 - 5*c + 5*c)*(2 - 2 - 2*c**2).\nAnswer: 9*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -4 + -2 - (-148 + 27 + 247).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 25 = 2*l + 29, b = 3*l - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 526 - 525.6. Let z = 36 + -35.9. Which is the closest to -1\/3? (a) z (b) n (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -4*q + 3*y - 5*y, y = -q + 47. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 220194 and 8469?\nAnswer: 220194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*a = 10, -5*r - 3*a - 11 = 4. Suppose 4*i - 3*q + 3 = 0, r = -5*q - 7 + 32. What is the first derivative of -2*n**2 + i - 4 - 2 - 2*n**2 wrt n?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(-14) - 39\/(-2). Factor -46*k - 16*k**2 - 9*k**4 + 22*k - 21*k**3 + p*k.\nAnswer: -k*(k + 1)*(3*k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = -2*y + 3*u, 0 = -3*u + u - 2. Let t = -78 + y. What is the second derivative of -3*d + t*d + 31*d**2 + 0*d - 5*d wrt d?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.039 + -0.039077. What is u rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/20)\/((-16)\/(-280)). Suppose 2*i = -0*i + 14. Let y be (0 + i\/(-2))*-4. Calculate the greatest common divisor of a and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-20)*(8\/6 - -2). Suppose -1582 = -o + 4*v, -x*v - 5 = 15. Suppose -11*z = -0*z - o. List the prime factors of z.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 113793 and 498.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.16 - -1.3. Let v = 31 + 7. Let c = -113\/3 + v. Which is smaller: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -5. Solve 0 = 2*c - 7*c - t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89885 is divided by 426.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 486*s. Let n(c) = -44*c**2 + 5*c + 60. Let i(v) = 770*v**2 - 88*v - 1056. Let j(r) = 5*i(r) + 88*n(r). Give f(j(t)).\nAnswer: -10692*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 21*j + 2. Let y(c) = -c**2 - 2 - 2 + 4. Let r be y(4). What are the prime factors of s(r)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -7*g + 9. Determine q(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 11:33 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 85346452 at least as big as 85346453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7344 divided by -3672?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*-4*(-11)\/(-88)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -6. Let l(m) = -m + 24. What is the least common multiple of t and l(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r**3 - 48*r - r**3 + 44 - 16 + 24*r**2. Let q(i) = i**3 + 1. Let x(a) = -k(a) - 4*q(a). Factor x(s).\nAnswer: 4*(s - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 11098?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(7 - 4 - 12)*(2*t**2 + 2*t**2 - 3*t**2).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 39110.94 millilitres?\nAnswer: 39.11094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 0.1, 17, -5, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10216682 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 262 - 66. Let s = z + -195.99899. Round s to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3542722 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/1111 - 2196\/14443. What is the nearest to d in -2, 5, 1.2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 213, 259, 305, 351, 397?\n\"Answer: 46*b + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 5.1\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 172595567 to the power of 1\/2, to the nearest integer?\nAnswer: 13138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*p - 165 = p. Let s(x) = -15 - 13*x - 68*x**2 - 5*x + 83*x**2 + x**p - 24. Determine s(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 379573 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -9 + 9 - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 26*g**2 + 106*g + 83. Let k be l(6). What is the nearest to 4 in k, 0.1, 22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35685 and 118950?\nAnswer: 356850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t - 33*t - 12 = 0. Let a(y) = 2*y + 7. Let x be a(t). Solve 0 = -f - x - 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 319 + -313. Solve 3*i + 3 = h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 154 + -112. Let x be ((-2)\/4)\/((-1)\/58). Let p = b - x. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*334\/28 + 1 + 6 + 5. What is the nearest to j in 4, -1\/22, 0.3, -3?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -21*u**2 + u. Let i be a(-1). Let q = 39 + i. What is the remainder when q is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s**3 + 37*s**3 - 80*s**3 + 15*s**3 + 19*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + c. Let x(o) = 26*o**2 + 2*o + 2. Give 4*g(n) - x(n).\nAnswer: -30*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -8*x + 198. What is the remainder when f(-14) is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-88)\/(-6) - 4\/6. Suppose 0*i + 2*i - 16 = 3*m, 3*i - 2*m - y = 0. Suppose -i*j + 89 = 19. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 4*c = 10, 2*z + 18*c - 17*c = -2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*v - 32 = -0*v, 5*v - 51 = -2*g. Suppose -4*l + g = -2*a + a, 0 = -2*l - 5*a - 21. Solve 4*j + y = 11, 4*j - y - 7 = l*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333, 536, 623, 594, 449, 188?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 4:00 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -86723.6 times 0.01\nAnswer: -867.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*p - 12 = 51*p. What is the greatest common factor of 108 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7575 and 415110.\nAnswer: 2075550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/9)\/((-12)\/(-2))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8891 is divided by 2219?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 + 34*y**2 + 166*y - 10. Let l be t(-4). What is the closest to 0.2 in l, -0.06, -94?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, u: 16, b: 1}. Give prob of picking 2 u and 1 a.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 3*q + 5. Let h be l(-2). Sort 0, 4, h, 1 in decreasing order.\nAnswer: 4, h, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + 7556*w**2 + 7341*w**2 - 13824*w**2 as x + k*w + i*w**2 and give i.\nAnswer: 1073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*q - 8, 5*q - q - 4*i + 8 = 0. Let t be 1\/9*(-18)\/21. Are q and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 17, 11, -11, -55, -127, -233?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 8*o**2 - 8*o - 5. Suppose 12 = -3*q + 7*q. Suppose 5*f - 13 = 4*n - 0*f, 0 = -n - q*f - 16. What is the units digit of t(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 0.5 (b) -8\/7 (c) 136 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.00285 in 4\/5, 0, 1\/8, 1, -1.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)\/(sqrt(2) + (2*sqrt(2)*-1 - sqrt(2)))*-6)\/((sqrt(24) + (sqrt(24) - 1*sqrt(48)\/sqrt(2)))\/(sqrt(108)\/sqrt(36) + sqrt(12)))*-6)**2.\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(48) + (sqrt(300) - ((sqrt(300) + 0)*6 - sqrt(300)))**2.\nAnswer: 8*sqrt(3) + 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*o - 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 426719*j + 5974065. Calculate s(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0384 - -2193.57?\nAnswer: 2193.5316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = -4*k. Suppose 0 = -k*p + 173 - 11. Let d = 87 - p. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 40519.6kg?\nAnswer: 40519600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*p - 20063 = -806*p + 25037 for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {m: 1, f: 5, h: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -31*v + 5. Let x be i(5). Let f = x + 215. Suppose -264 + 325 = 20*p - 459. Calculate the highest common divisor of p and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 4*w**2 + 4*w + 3. Let g be c(-2). Let h(z) = 4*z + 4*z + z - g + z**3 - 9*z**2. Let l be h(8). Solve l*f - 2*u = -17, 5*f + 10 = u - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i. Suppose -3*x - t = -14, 12 = -0*x - x + 3*t. Let g = 0 + x. Let c(s) = s - 6*s + g*s. Give c(o(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 + 0*v**2 + 12*v - 219 + 3*v.\nAnswer: -4*v**2 + 15*v - 219","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82716, 165389, 248034, 330639, 413192, 495681, 578094?\nAnswer: 660419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/5, -4\/3, 8005.\nAnswer: -5, -4\/3, 2\/5, 8005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 3*d + 4*t - 11, -5*t + 10 = 0. Solve 0 = -3*l - d - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 54.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 - -46 - 50 - (0 + -2 - -14)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 69*x - 86. Does 42 divide a(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2792106243458 and -0.23.\nAnswer: -2792106243458.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 s when three letters picked without replacement from {s: 2, u: 2, d: 2, h: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-2\/15)\/h))**7 assuming h is positive.\nAnswer: h**(224\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 4, -0.48, 2\/5?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 12:01 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o + 3*o + 6*o - 7*o + 2*o. Let q(u) = -u. Suppose 3*t + t = 20. Give t*q(y) + s(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2392532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p = 18. Solve 0 = -4*h + 10 + p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**4 - 55*y**3 - 65*y**2 + 775*y - 660 = 0 for y.\nAnswer: -4, 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**7*g*((g**(-1\/3)\/g)\/g)\/g)\/((g**9*g)\/(g*g\/(g*g**9))))\/((g**(-1\/8)*g**(-2\/23)*g)\/((g*g**0)\/(g**(-1\/11)*g))) assuming g is positive.\nAnswer: g**(-79121\/6072)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8, -17, -18, -5, 28, 87?\n\"Answer: r**3 - 2*r**2 - 10*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1062, 3, 1 in increasing order.\nAnswer: 1, 3, 6, 1062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3\/689 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvufdu. Give prob of picking 1 d, 1 v, and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -1, 7, 974, -10, -5 in ascending order.\nAnswer: -32, -10, -5, -1, 7, 974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -112, 5.\nAnswer: -112, -31, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**19*p)\/((p*p*(p*p**13)\/p*p*p*p*p)\/p))**(6\/19))**(-38) assuming p is positive.\nAnswer: p**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -750 + 1423. Let h = i + -465. List 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 -149 divided by -2164?\nAnswer: 149\/2164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432)*2 + -3)*-3 - ((1*sqrt(432) + 2)**2 + 5)) + -1.\nAnswer: -433 - 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*k + 9624 - 46*k - 19254 + 9630.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 14, 3 in increasing order.\nAnswer: -13, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 571276 - 1443755. Let x = -472479 - v. Round x to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -13. Suppose a*w - 380 = -0*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 20 = 8*d, 277*d = -3*a + 280*d + 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17072 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390816 and 3186.\nAnswer: 1172448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.27564 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -73.7 - -87. Let n = -13.1 + c. What is the closest to n in 10, -0.3, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 14. Let v be m(-10). Suppose -3*a + 8*a = 5*f - 5175, v*a + 2062 = 2*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4, 13.4, -1, -0.7 in ascending order.\nAnswer: -8, -1, -0.7, 4, 13.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20395 divided by -76\nAnswer: 20395\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*d**3 + d - 77*d**3 + 41*d**3 to x*d + i + t*d**2 + z*d**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 d, and 1 m when four letters picked without replacement from jjddjjjjjmjjm?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - r**2 + 2*r + 1. Calculate w(-4).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10, -50, -122, -232, -386, -590, -850, -1172?\n\"Answer: -q**3 - 10*q**2 - 3*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p + 7200 = 7*p. Calculate the lowest common multiple of 21 and p.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 1 + 1 - 5. Let n(k) = -k**2 - k - 1. Let s(j) = -5*j**2 - 5*j - 3. Let a(c) = -4*n(c) + s(c). Let l(d) = 3*a(d) + z(d). Find m, given that l(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 6*i**2 - i + 4. Let j(d) = 11397 - 22772 + 11374 + 2*d**2. Calculate 2*h(f) + 7*j(f).\nAnswer: 2*f**3 + 2*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.0052 + -26899.0052. Let r = i + 26895.39978. Let f = r - 0.4. Round f to five decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4726 a factor of 695350968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, x: 2, h: 3}. What is prob of picking 2 x and 1 g?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (6 - (7 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1192478?\nAnswer: 2, 7, 19, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 1102?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b + -3a207?\nAnswer: -3a1ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**3 + 261*c**2 - 541*c - 625. Calculate s(-89).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 2*n**2 + 0*n**2)*(-2*n + 2*n - 2*n) - n**3 + n**2 - n**2 + 0*n - 2*n**3 + 0*n - 8*n - 31*n**3 + 8*n - 8301*n + 8301*n + 86*n**3.\nAnswer: 48*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*g**2*q**3 - 6072*g**2*q + 472560*g**2 wrt q?\nAnswer: 27*g**2*q**2 - 6072*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1737264 + -120?\nAnswer: -1737404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-1173)\/(-2737))\/(9\/(-24)*2)*21\/(-18)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 55 = -2*c. Let n(s) = -s**2 - 11*s - 4. Give n(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7811 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: What is -5950 divided by -15?\nAnswer: 1190\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + s**2 - 2*s**2 - 3544*s.\nAnswer: s**2 - 3544*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 92*j - 80*j. Suppose 50 = -j*i + 650. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/3 - -3)*-2. Suppose -2*u - 2 = 4*i, -h*u - i - 6 = -7*u. Does 2 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, y: 9, b: 3, z: 1}. What is prob of sequence aa?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - l + 74. Let q(h) = -h. Determine q(g(o)).\nAnswer: -o**2 + o - 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 0.4, 0.67?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14691421 is divided by 86420?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-28))\/((-36960)\/72765)?\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1. Let s = -2.84 - -3. Let d = s + 0.84. What is the smallest value in v, 3, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*1.3126769.\nAnswer: -10.5014152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*4*10\/8. Let l = -0.03534 + -0.26466. Sort l, -1\/3, -4, c in descending order.\nAnswer: c, l, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 23.9384386947?\nAnswer: 26.9384386947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*z + 3, 2*o + 2 = 3*o + 2*z. Suppose 2*k + 4 = 4*p - 0*k, o = -4*p + 3*k. Let j = p + 9. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -61. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 4\/947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 51\/7, 44, -0.4?\nAnswer: 51\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 3\/4, 0, 5, 80871?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 6*r**2 + 681*r - 391. Determine q(29).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 593, 10552, 37585, 90230, 177025, 306508, 487217?\n\"Answer: 1423*h**3 - h**2 + h - 830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.8 - -0.8. Let k(v) = v - 11. Let h be k(14). What is the smallest value in 1\/2, m, h, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j + 3 - 1 - 6 + 4. Let r(n) = -56*n + 2. Determine l(r(z)).\nAnswer: -168*z + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 2*m - d, -270 = -5*m - 0*d + 3*d. Suppose 14*c = -5*c + m. Solve 0 = c*y + 6 - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -t - 9, 0*o + 15 = -5*t - 5*o. Let l be (-305)\/(-35) - 4\/(-14). Let w be (4 - t)*l\/3. Solve 4*y = -4*z + 11 + 1, 5*z - w = -3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.38 - -1.88. Sort -11, j, -16.\nAnswer: -16, -11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3\/11 + 368*y**2\/11 + 739*y\/11 + 370\/11 = 0.\nAnswer: -1, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 96\/125219?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 - 5*c - 4. Let s be -1 - 1\/((-1)\/(-2)). What is the tens digit of f(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 1:10 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6745825.2 rounded to the nearest one hundred thousand?\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 8 = -4*x, 5*x - 19 = -49*p + 47*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -429481 (base 10) to base 3\nAnswer: -210211010201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 24199253.3825.\nAnswer: 24199252.9825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 190.4 + -196. Let r = z + 5.6000187. What is r rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12*(-7)\/(-28) + 1*-2. Let r = -3 - f. What is the tens digit of (98\/r - 3)*(-8)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 19 + -18 + 21?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112 - -2?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/214 and -1 - -8 - (3827142\/32100)\/17?\nAnswer: 5350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12898323 - -26298318. Suppose -g - k = -s, 2*g = g + 4*s - 13399980. What is g rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 190 - 193. Solve f = -5*c - 17 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7336*n - 44054. Calculate k(-6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20055377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o*q**6 - 3367*o*q**5 + 3*o*q**2 + 46*o*q + 5*q**2 - q wrt q.\nAnswer: 240*o*q**3 - 202020*o*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*c**2 - 32*c**2 + 94*c**2 - 35*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4215 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003633 rounded to five dps?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + 2*n - 6*n - 2*n + 4*n + 0*n + (2 + 15 + 2)*(0*n - 3*n + n) + 3*n - 27 + 27 + (2 + 0 - 1)*(-2*n - 3 + 3).\nAnswer: -37*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 11*b**5\/60 + 11*b**2. Let w(s) be the third derivative of s**4\/24 + 17*s**2 + 2. Give w(t(m)).\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n + 1. Let u be h(1). Let f = -3 + 1. Let v be 2\/3 + 5 - (-4)\/(-6). Sort u, f, v in descending order.\nAnswer: v, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -333.6 - -333.3. What is the closest to 1.2 in 1, 2\/5, 0.1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 63*t**2 + 393*t + 27. What is x(7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 3. Let m(u) = -u**2 - u - 3. Determine -2*m(f) - 3*s(f).\nAnswer: -f**2 + 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000105869678 rounded to seven dps?\nAnswer: 0.0001059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4193*u + 1208. Is f(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/49*(-10)\/(-15)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 522615975 to the nearest integer?\nAnswer: 22861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w - 9*w + 36 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2695399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w**2 + w + 3. Let k(b) = -b**2 - b - 1. Give -3*k(z) - m(z).\nAnswer: -4*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 4*w + 23 + 14 = 0, -2*w - 11 = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -188.85 rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11303214 (base 8) to base 15.\nAnswer: -338a1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -8822*g - 17750. Determine d(-2).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183011?\nAnswer: 23, 73, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -4*v - 12, 44*v - 43*v - 2*i + 9 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42504 and 14168?\nAnswer: 42504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.47 + 38.53. Let y = x - 39.2. Which is the nearest to 0.1? (a) -3\/2 (b) y (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 3. Let q = d + 3. Let y(l) = 0*l**q + 3 - 2*l**2 - 3. Let h(j) = 2*j**2. Calculate h(y(n)).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 divided by 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/4 + 15 + -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*3\/54 + 883\/(-3). Let m = w + 301. Let u(a) = a**2 - 7*a + 2. Calculate u(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/12*(-3 + -1)*-1. Does 18 divide ((-246)\/(-15) + b)*(-120)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m + 165 = 0. Let l be ((-11)\/m)\/((-1)\/(-12)). Suppose 4*p - 48 = -4*i, -l*p - 54 = -2*i - 6. What is the least common multiple of 8 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s. Let v(m) = -285*m. Determine g(v(q)).\nAnswer: -570*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -3*y**7\/70 + 7*y**4\/12 + 16*y**2. Find the second derivative of s(b) wrt b.\nAnswer: -108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**3 + 18*z**2 - 2*z - 4. Let s(o) = -5*o**3 + 23*o**2 - 2*o - 3. Let b(k) = 6*h(k) - 5*s(k). Determine b(6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**8\/5376 + r**7\/1008 + r**6\/576 - r**5\/48 + r**4 - 6*r. Let j(t) be the third derivative of u(t). Factor j(n).\nAnswer: -5*(n - 2)*(n - 1)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1579 = -5*n - 3*h - 1559, 20 = 5*n - 2*h. Solve -n*b + 3 = -3*a + 8, -2*b - 1 = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -f - 4*f + 385, 0 = x - 2*f - 89. Is 27 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1407, -5584, -12529, -22242?\n\"Answer: -1384*s**2 - 25*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2970 and 440?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 560, 1181, 1802, 2423, 3044, 3665?\n\"Answer: 621*s - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2019 - 1423. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/6, 4, 41 in decreasing order.\nAnswer: 41, 4, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03 - -24.\nAnswer: 24.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 51 (c) 0.4 (d) 1172\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1815 and 126324?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.2 * -25876.\nAnswer: 56927.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -71*u - 149. Let q(b) be the first derivative of -550*b**2 - 2310*b - 154. Let v(n) = -5*q(n) + 77*x(n). Differentiate v(g) wrt g.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 5*m - 7. Let f be w(5). Find the common denominator of ((-651)\/18)\/f + -1 and -9\/29.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1671518 and 81?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 6:58 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8*w - 3. Let j = -4 + -7. Let z(k) = 3*k - 1. What is j*z(p) + 4*d(p)?\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1231 divide 9487317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (0 - (-2 - -8)). Suppose -5*j = -5*b + 885, -5*b = h*j - 491 - 386. What is the greatest common factor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 47295, 976.\nAnswer: 5, 976, 47295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkbpgobgkgbop. Give prob of picking 1 k and 1 g.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 24 = z, -5*k - 4*z + 7*z = -22 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 162, -4, 0, 4 in decreasing order.\nAnswer: 162, 4, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + c - 5 = 0, 3*c = 15 - 0. Suppose g*r - 3*w + 6 = r, 4*w = 0. What is the units digit of ((-20)\/r)\/(8\/(-36))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-32) - 14\/16. Sort 1\/2, k, -0.06, 4 in decreasing order.\nAnswer: 4, 1\/2, -0.06, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/288021 and 73\/155991.\nAnswer: 91878699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 695, 694, 693, 692?\n\"Answer: -r + 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -618, -596, -574?\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + 25 + (21 - (26 + 44)) + -16.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 14*z**2 - 144*z + 1702. What is h(13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 7*y**2 + y + 6. Let t(v) = 5*v**2 - v**3 + 3*v**3 - 18*v**2 + 3*v - 10270 + 10281. Calculate 11*j(u) - 6*t(u).\nAnswer: -u**3 + u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 11, 5, -4483, -4, 0.3 in descending order.\nAnswer: 46, 11, 5, 0.3, -4, -4483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 102, -1, 4\/7, -0.2 in ascending order.\nAnswer: -1, -0.2, 0.3, 4\/7, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s - 2*s**2)*(-2*s + 7*s - 3*s) + (-41 + s + 41)*(-3*s**2 + s**2 - s**2).\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 - 3*x**2 - 3*x**2 - 2 - 10*x**2.\nAnswer: -19*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 3:14 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 805847.186 to the nearest one thousand.\nAnswer: 806000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2723543993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42 in 5, -28, -6\/5, -5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 16*i**5 + 5548*i**4 + 331720*i**3 - 25928532*i**2 + 338033088*i + 268247808 = 0.\nAnswer: -197, -3\/4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 7*z + 2*z)*(-2*z - 2*z + 5*z) - 26*z**2 - 7*z + 7*z.\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 161756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 7:24 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 12. Suppose q*b + 6*f - 18 = 2*f, -10 = -5*f. What is the greatest common factor of b and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2835 and 1908963?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, y: 5}. What is prob of picking 3 y?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 164410 - 0?\nAnswer: 164410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (3 - (-6 - -2 - -5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 108*y**6 + 9*y**4 + 947*y**2 wrt y?\nAnswer: 12960*y**3 + 216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 7*r - 0*r. Let h(u) = -r*u - 319 + 4*u + 319. Let i(l) = l. Let c(q) = 27*q. Let o(f) = -c(f) + 45*i(f). Calculate h(o(s)).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5186623 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/7, -8, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 5*t**2 - 3*t - 7. What is h(-6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.84 - 0.16. Let b = -11 - u. Let p = -0.4 + -0.1. Sort p, -3, b.\nAnswer: b, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -344 - -350. Solve w = 2*m - c, -5 = -2*m - 3*c + 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**4\/3 - c**3\/6 + c**2. What is the remainder when 44 is divided by w(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165328, -330652, -495974, -661294, -826612, -991928?\nAnswer: -1157242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2398700649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5 - 1489*w**4 - 553527*w**3 + 566933*w**2 + 4422320*w - 6660300 = 0. What is w?\nAnswer: -745, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(-25)\/((h\/((h*h*h**(-1)*h*h)\/h))\/(h**(-1\/2)\/h)) assuming h is positive.\nAnswer: h**(49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 768?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 16*k - 26. Determine p(-13).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(960))\/(sqrt(48)*-2).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + q**2 - 7*q**3 + q + 2*q + 3*q**4 + 9*q**3 to t*q**3 + v*q**2 + u*q**4 + y*q + g and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-11)\/r*r*r**(7\/5) assuming r is positive.\nAnswer: r**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1341 or -1322?\nAnswer: -1322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 10:59 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 2*z = -3*h + 33, 0 = 4*z - h + 27. Let i be 6 - ((-174)\/(-54) - z\/(-27)). Suppose 50 - 56 = -i*x. What is the closest to 0 in -0.1, x, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1646325 divided by 813\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + -2 - (-8 + -1 - (-17 + 10)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5 = 4*u, 2*u = l + 3*u - 5. Suppose -l*w = -5*n - 9 - 21, 3*n + 4 = -4*w. Factor -4*a - 21*a**3 + 8 - a + 9*a**3 - 23*a + 32*a**w.\nAnswer: -4*(a - 1)**2*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0 - 9 = 0. Suppose k*n - 7 = -v, 2*v = -n - 2*n + 8. What is the units digit of 1 - (-1)\/(-1 + n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*j + 109 = 405 + 200 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 + 8 = -16*i. Let g = 1880 - i. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136 divided by -9\nAnswer: 136\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 6 = r, -2*i = -r - 2 + 4. Suppose 0*s - r = -s. Let g be ((-6)\/7)\/((-9)\/42). Solve g*d = s + 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 6:33 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 15 (b) 0.3 (c) 0 (d) -2\/45 (e) 2 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 2*k. Which is smaller: k or 2\/21?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 303860 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2277546 is divided by 3565?\nAnswer: 3076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -23, -0.03, 10, 25?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 38385.\nAnswer: -38385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1*3\/(-3))\/((-1)\/5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 141624 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*-5*-3)\/(sqrt(1080)\/sqrt(5)))**2.\nAnswer: 325\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (3 - (7 - 2) - (1 + 4 - 8))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 24300*w + 77521145.\nAnswer: -5*(w - 7057)*(w + 2197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -828 + 898 + 3 + -101.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**2. Let b(i) be the third derivative of -129*i**5\/20 - 861*i**2. What is o(b(x))?\nAnswer: 599076*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 19 + 1 + -10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + a - 2*a)*(-4 - 4 + 5) + (a - 3*a + 0*a)*(5 - 2 - 1) - 1 + 1 - 2*a + 256 + 59*a - 256.\nAnswer: 50*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3059991.\nAnswer: 3, 11, 10303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 6:50 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64548, 258527, 581936, 1034769, 1617020, 2328683, 3169752?\nAnswer: 4140221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by (-2 + 1)\/((-3)\/75)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186, 1095, 3278, 7281, 13650?\nAnswer: 22931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 110.6563 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7941 - -12910. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 36966384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, x: 3, w: 2, i: 3}. Give prob of sequence piww.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 15 = 9*v. Suppose v*f + d = 10, f - 2 = 2*d + 3*d. Solve -14\/3*r**3 - 11\/3*r**4 - r**5 + 1\/3 + 1\/3*r - f*r**2 = 0 for r.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**5 + 160*u**4 + 340*u**3 + 10*u**2 - 335*u - 170.\nAnswer: -5*(u - 34)*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 12*k = 12, 50*w - 53*w - 9 = -3*k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**2 + 8*o. Let i be z(-2). Suppose 16*h + 169 - 9 = 0. Sort h, 2, i, -6.\nAnswer: h, -6, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140849232?\nAnswer: 2, 3, 37, 71, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 6) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 56*y**2 - y - 157 wrt y.\nAnswer: 112*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -1)*(0 + -4). Let w = f - 0. Let h(j) = 3 - 9*j + 3*j + 1 + 5*j**2 - w*j**2. What is h(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 178 + -160. Are j and 18 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 2*f = n + 7, -f + 2*n = -5. List the prime factors of ((-1)\/(-2))\/(f\/(-134)).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*h - 3851 - 10737 = -529 + 4029 for h.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -36*f**3 + 2*f**2 + f. Is l(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**2 + 3328*n + 3332 = 0.\nAnswer: -1, 833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8316 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224 a factor of 35121456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 55*i + 385. Determine a(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*l + 572, -s + l = -2*l - 143. What is the remainder when 4716 is divided by s?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, s: 2, w: 1, p: 2, m: 1}. Give prob of sequence sm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a + 22 = -2*k, -k = -a + 5. Suppose 4*g - 2*b - 255 - 333 = 0, -a*g = 3*b - 608. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 31\/3 + 2\/3. Suppose 0 = -2*c + g + 1. Solve a**3 + 0 - 2*a**3 - 6*a + c*a**2 - a**3 + 2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + 0*y - 3*y + (1 + 1 + 0)*(2*y + 3 - 3).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 10892?\nAnswer: 1\/5446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 5:37 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 - 766475*o**3 + 76 + 766431*o**3.\nAnswer: -44*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 11:21 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2717*b**3*s + 105*b**2*s*v + 2*s*v - 2*v + 1293776 wrt b?\nAnswer: -8151*b**2*s + 210*b*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2786 - 2781. Solve -3*k - 6 = 3*z, 3*k + 10 = -v*z - 0*k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 - (37 + (12 - 25))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0 - 2. Let h(y) = -5 + y + j - 3*y. Calculate h(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.275636 micrometers to nanometers.\nAnswer: 9275.636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78 - 83. Let y(f) = f**2 + 5*f + 2. Let n be y(c). Solve n + 1 = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 29.858. Let h = k + 1.142. Which is the closest to 1? (a) h (b) 1\/5 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 + 66. Suppose 2*f + 56 = 4*f. Let v = s + f. Solve 0 = -i - 3*b - 2*b - v, -i + 5 = -2*b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510 = -t + 2*k - 4*k, 2511 = 5*t - 3*k. Calculate the greatest common factor of t and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 168*a**2 + 5*a - 427. Calculate s(84).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 25*i**2 + 31*i + 9. Let p be k(-23). Let d = 2484\/7 - p. Factor d + 8\/7*s + 2\/7*s**2.\nAnswer: 2*(s + 1)*(s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.93 - -7.97. What is the nearest to 5 in 4, -11, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -158 + 3348*f + 103*f**2 - 102*f**2 + 75 + 83 to the form j*f**2 + k + g*f and give g.\nAnswer: 3348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**3 - 4*m**2. Suppose 4*w + 33 = -3. Let f(s) = -15*s**3 + 9*s**2. Let d be (2*1)\/(2\/(-4)). What is d*f(j) + w*z(j)?\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -0.079, 0.0924?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**4 + 300*v**3 + 292*v**2 - 300*v - 296 = 0.\nAnswer: -74, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 14. Let l(p) = t + 1 - 7*p + 5*p - 2. Let f(g) = g**3 + 4*g**2 + 4*g. Let i be f(-3). Calculate l(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0. Let w = 13 + -16. Which is smaller: w or x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 + b - 32*b**2 + 22*b**2. What is i(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 13) to base 2.\nAnswer: -100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 236879?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 139, 180, 247, 346, 483, 664?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 489580 - 6700 = 3*y + 37*y. Does 24 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or 10484122?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -309.561953 rounded to zero dps?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 322 and 82754.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 59.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6268*q - 6271*q = -6*b + 72, 44 = 5*b - 2*q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1 (b) 4\/5 (c) 2 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*2469.\nAnswer: -1234.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 19*s + 113 + 201 + 6*s + 13*s.\nAnswer: 2*s + 314","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10636971 to the nearest integer?\nAnswer: 3261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3607*r + 47975 + 247852 = -1327*r - 24883 for r.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -943, -1885, -2823, -3757, -4687, -5613?\n\"Answer: 2*m**2 - 948*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*t + 29*t + 0*t**4 + 10*t**3 + 4*t**4 + 2*t**3.\nAnswer: 4*t*(t - 1)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -177 - -305. Calculate the greatest common factor of 96 and c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/2*(-8 + 11). Let k(f) = 9*f - 11. Let o(q) = -q + 1. Let u(p) = -3*p + 4. Let w(s) = -2*o(s) - u(s). Give d*k(n) - 5*w(n).\nAnswer: 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15364520 rounded to the nearest ten thousand?\nAnswer: -15360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3760 - 2166. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0, -5, -0.06, 2214?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -3*c**2 - 6*c - 10\/3*c**3 + 0. Is x(-31) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81238670?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/7 + 78*v**3\/7 + 870*v**2\/7 + 550*v + 6000\/7.\nAnswer: 2*(v + 5)**3*(v + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-2*2 - ((sqrt(245) + 0)**2 + sqrt(5)))*6.\nAnswer: -1470 - 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24081 + 185678. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1244848910?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-5) - (7 - (-2466)\/(-315))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + t - 1. Let x(n) = 38*n**2. Give -d(q) + x(q).\nAnswer: 37*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 0*z**5 + 0 + 0*z**4 - 2\/105*z**7 + 0*z**6 - 2*z**2 + 0*z + 1\/3*z**3. What is the first derivative of i(u) wrt u?\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from vvaavv?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 348*t - 11861. Determine v(34).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 284 - 160. Let u = 118 - h. Let t(b) = 5*b**2 + 3*b - 4. Let n(p) = -4*p**2 - 3*p + 3. What is u*n(g) - 5*t(g)?\nAnswer: -g**2 + 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008554154 to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 2*o**2 - 1. Suppose 0 = 24*t - t + 6785. Let m = t + 290. Let h(a) = -2*a**3 + 5*a**2 + a + 2. Calculate m*u(w) - 2*h(w).\nAnswer: -w**3 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/13 in -59, 1, -0.3, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 11:49 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 5*o**2 + 2. Let s be k(5). Suppose 0 = s*g + g - 21. Let q(x) = -5*x + 4. Let y(n) = 6*n - 5. Determine g*q(u) + 6*y(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*p + 16, 1020*p - 1025*p - 30 = 5*u. Sort -5, 7, 3, -2, u in increasing order.\nAnswer: -5, -2, u, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22582, 43892, 65202, 86512?\n\"Answer: 21310*h + 1272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 11:25 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -26. Suppose -v = -g*v + 27. Is v less than or equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51096 - 56355 = 12232*q + 141525 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2*4.218437\nAnswer: 8.436874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 2*z - 3*f + 129, -z = 5*f - 11. 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: Suppose y - 6 = 1. Let w = y + -5. Suppose 2*u = -3*m + w*m + 67, 2*m + 2*u - 136 = 0. What is m rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20258 smaller than 20371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + t - 3, 0 = 4*t - 85 + 153. Solve -39\/2*r + r**2 - x = 0 for r.\nAnswer: -1\/2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 5*l, 3*x - 9*l + 7*l = 2256. What is the highest common factor of 935 and x?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/224 and 15\/868.\nAnswer: 6944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4128 and 1161.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.32889 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2279\/11 - -207. Which is the third biggest value? (a) n (b) 0.5 (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1027 + 323 = 5*s. Let n(t) = -5*t - 110. Let q be n(-28). Calculate the highest common divisor of s and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) -2\/6431 (c) 2\/9 (d) 1\/5 (e) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*(sqrt(68) + -2 - sqrt(68))*-4)*6.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**5 + 293418*m**4 - 21527344492*m**3 + 559478593464*m**2 + 2496251897216*m + 2582365969920 = 0.\nAnswer: -2, 30, 146696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1801\/2345 - -15\/469. Factor x - 6\/5*w + 2\/5*w**2.\nAnswer: 2*(w - 2)*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14899 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22)\/(-6) + (-5)\/3. Suppose -3*x + 2148 = -3*r, -d*x - x + 2134 = 4*r. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ul when two letters picked without replacement from {l: 1, u: 1, h: 1, z: 2, p: 1, b: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from eneeeeegceenccwgne.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 530431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + y - y)*(-4*y + 3*y + 2*y) + (3*y**2 + y**2 - 2*y**2)*(-y + 3*y + 0*y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -18741127 divided by 10\nAnswer: -18741127\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 5*f**6\/6 - 16*f**2 + 42*f + 1. Find the first derivative of g(p) wrt p.\nAnswer: 100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 u, and 1 y when three letters picked without replacement from dwqydyuquqyqdequyq.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -1839, -4\/7, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 418007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**4 - 6*l**3 + 18*l**2 + 70*l - 72. Let x(u) = -u**4 - 2*u**2 - 1. Let h(k) = -2*j(k) - 6*x(k). Let h(w) = 0. What is w?\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*l + 1274 + 770 = -222*l for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/4*(-4)\/12. Suppose 5*i - 10 = 2*d, -d = -54*i + 53*i + 2. Solve -3*f + 4*x + i = 0, -3*f + 0*x + l = -5*x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 3. Let x be f(-3). Suppose 5*v - 2*t - 18 = 0, x = t + 2*t + 12. Solve -k - v = -3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.04, -0.1, 0.1294, -2\/9, -6, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 23382*n - 1 + 3296*n + 2964*n as b + i*n and give i.\nAnswer: 29642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - 65. Let b be ((-4)\/s)\/(7\/(-21)). Let d = 0.53 - 0.73. What is the nearest to 0 in 1, d, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 44858*r**2 - 44913*r**2 + 5*r - 3*r = 0.\nAnswer: 0, 2\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 17 - 71. Suppose -s = -7*h + 5*h. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 542289938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12340 + 12335. What is the second biggest value in j, -0.4, -8, 22?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -9*b**2 - 64*b + 8. Let g be n(-7). Suppose 6*f = g*f - 27. Solve 2*p + k = 3, 3*k - 6 = f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 4*m**2 + 2*m - 4. Let y be -3*(-7 - (-1 - 5)). Let a be i(y). Let b(v) = v**2 - 9*v - 22. What is b(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*u + 2*u - 11, 2*u - 38 = -5*x. Calculate the smallest common multiple of 24 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wyywqxw. What is prob of sequence wyq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4742*s - 42625. Calculate p(-9).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/46)*p*p**(-34)\/p)**(-2\/47) assuming p is positive.\nAnswer: p**(1565\/1081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 419 divide 154611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (2 - (0 + 0)). Suppose -174352 = u*m + 120648. What is m rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 120, -5, 4 in descending order.\nAnswer: 120, 4, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 92*m + 2218. Let t be w(-24). Let p(j) be the second derivative of 3\/4*j**3 + 1\/40*j**5 + 0*j**2 - 1\/4*j**4 + 0 + t*j. Solve p(u) = 0 for u.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -34*r**2 + 194. Let m(d) = -13*d**2. Determine m(p(g)).\nAnswer: -60112*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 23*l + 21. Let v(t) = 24*t - 25*t + 35*t + 106 + 80*t. Let z(a) = -14*o(a) + 3*v(a). Find the first derivative of z(j) wrt j.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (283*u**2 - 2 - 259*u**2 + 1)*(-3*u + 0*u - 2*u).\nAnswer: -120*u**3 + 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2156)*-4*-1 - (sqrt(2156) - (sqrt(2156) + 5))*1)**2.\nAnswer: 560*sqrt(11) + 34521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 3*j = -24, m - 244 - 260 = 5*j - 532 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + sqrt(1539) + sqrt(1539)) - sqrt(1539))**2 + sqrt(1539) + ((1 + sqrt(1539))*-6)**2.\nAnswer: -1935*sqrt(19) + 180355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5153*b + 22798*b + 46968 - 93938 + 46970)*(-5 + 5 - b**2).\nAnswer: -27951*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1044*w = 1057*w - 2108*w + 392. Solve 0 = w*d - 4*d + 364 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4498\/255 + 88\/5. Let c = k + -145\/204. What is the smallest value in -2, c, 3\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8*a + 32*a**2 - 1 - 92*a**2 + 9. Let m be (-88)\/(-14) + (-2)\/7. Let y be j(m). Round y to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000015437834 to 7 dps.\nAnswer: 0.0000154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 2*a - 2*a + (3*a - 3*a + 2*a)*(-4 + 1 + 1) - 2*a + 0*a + a)*(24432*a + 24433*a - 48871*a - 1232) in the form f*a + d*a**2 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175095546, 175095544, 175095542, 175095540, 175095538?\nAnswer: 175095536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316 divided by 1.\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(77) + (sqrt(77)*-2*2 - sqrt(77)))\/(sqrt(112)*-2 - sqrt(112)))**2 + 4.\nAnswer: -10*sqrt(11)\/3 + 272\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*i, 542*i - 39 = 5*c + 540*i for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1261 (base 9) to base 16.\nAnswer: -3b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15766.\nAnswer: 2, 7883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-304)\/64 + 33\/(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 43.7 and 0.0086.\nAnswer: 43.7086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/677625 and 103\/262860?\nAnswer: 913438500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 10*a - 11*a + 4903, a + 6549 = 4*q. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76782 + -82391.1. Round u to the nearest 100.\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 3. Let s(j) = 3*j - 7. Let q be -8*(3\/(-2))\/3. Calculate q*s(z) - 9*p(z).\nAnswer: 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77\/4 - -307\/16. Put h, -3\/8, 4 in descending order.\nAnswer: 4, h, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(-107508)*68*3?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(2*sqrt(66) + sqrt(66)) - (3*sqrt(66)*2 + sqrt(66)))*2)\/(sqrt(486)*-1*4 - -6*sqrt(486)*1)*1.\nAnswer: -4*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) - ((sqrt(135)*3 - sqrt(135)) + sqrt(135)))\/sqrt(5))\/(sqrt(9) - (sqrt(81)*-1 - sqrt(9))) - (-1 + -5 + (-6*(sqrt(243) + 1))**2).\nAnswer: -8778 - 3242*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/190430 and -14\/247559.\nAnswer: 2475590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 267.44708?\nAnswer: -271.44708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 8*a + 13. Let n be b(7). Let l = -8 - n. Let g = 212 + l. What is the greatest common factor of 18 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1760 + 4417. List the prime factors of x.\nAnswer: 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 0 + 0*x + 0*x**3 - 2\/15*x**5 + x**2 - 3\/8*x**4. Suppose -16*d - 94 = 18. Let i(w) = -7*w**2 - 8*w. What is d*i(r) + 6*j(r)?\nAnswer: r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12668, 1, -6, -0.1, -0.06, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 54320.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 + 19 - 17*o)*(-o**2 - 5*o**2 + 4*o**2) in the form u + m*o**2 + z*o + j*o**3 and give j.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f. Let j(r) = -5*r - 4 + 9*r - 5*r. What is m(j(c))?\nAnswer: 2*c + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 13*h**2 + 4*h - 43. Let i be v(13). Suppose -o - 3*d + 63 = 2*d, 0 = -3*o + d + 189. What is the greatest common factor of o and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52176758 or -9?\nAnswer: 52176758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 z, and 1 h when three letters picked without replacement from eozkkkzghggoo?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/64, -0.5, -1?\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 158*s + s**2 + s**2 - 323*s + 155*s - 12 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1474 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 31. Let o(f) = 9 - 2 - 1 + 0. Let a(z) = 2*l(z) + 11*o(z). Is a(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/(-10)*(-3 - -1))\/(34\/204). Solve -2*y = 3*z + 11, -y - a = y + 2*z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2177 + 2177 + 205*d - 4*d**2)*(3 - 3 + d**2) to g*d**4 + u*d**3 + s*d + p*d**2 + c and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 5 - (-42 - -36) - -13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45293187 <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1671 - 1677. Sort h, 2, -2\/7, 0.4 in ascending order.\nAnswer: h, -2\/7, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 12 + 5)*(-1 + 2 + 0)*(-2*l + 9*l + 5*l)*(l**3 + 3*l**3 - l**3).\nAnswer: 720*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3704 by -5.\nAnswer: -3704\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/137329, -2, 30 in ascending order.\nAnswer: -2, -6\/137329, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 15\/4 of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b + 5e199?\nAnswer: 5e16d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37887.\nAnswer: 3, 73, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 10*o**4 - 13124*o**3 - 3907158*o**2\/5 - 52754344*o\/5 + 24332296 = 0.\nAnswer: -149\/5, 2, 1370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.344 - 0.344. Let m = -11 + 5. Let l = m - -3. What is the fourth biggest value in s, -0.1, l, -1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3775 + -3775. Suppose 0 = -4*t - 2*h + 20, -t - 4 = 4*h - 2. Solve -a = 4*i + 2, s*i - 3*a - t = 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbrrhrdbbrrbrbrbbbb. Give prob of picking 1 b and 1 h.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 5)*(-4 + 5 - 4)*(-60*s - 876*s - 1443*s) to the form t*s + b and give t.\nAnswer: 14274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2 + 78418*t + 235251. Determine z(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39733\/10 + 517717\/130. Let x = 3534\/455 - u. Find the common denominator of -113\/56 and x.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 1609, -1\/11, -1\/7 in ascending order.\nAnswer: -1\/7, -1\/11, 1\/2, 1609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09 + 0.91. Let i = -0.22 - -0.62. Let y = 0.4 + -0.2. Which is the closest to 0? (a) o (b) i (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7991074331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1533*f**2 - 226*f**3 - 1951*f**2 + 418*f**2.\nAnswer: -226*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/18896 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -24*m - 86. Let a be b(-4). Solve -3*i + a*i + 14 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -35, -105, -187, -287, -411, -565?\n\"Answer: -i**3 - 63*i + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 1 - 9. Let r(k) = -21*k - 3. Let z be r(g). What is the highest common factor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070892 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 common denominator of -197\/38640 and -53\/124200?\nAnswer: 1738800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9599888 and 2336?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -33. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 204*y**6 + 5546*y**4 + y**3 - 3*y**2 - 406047*y - 2 wrt y.\nAnswer: 24480*y**3 + 133104*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 0*b + 6. Solve -7 = -d + 3*w, -d = -b*d + 4*w + 11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.22529 and 6.20913298?\nAnswer: 6.43442298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10213 divided by -23?\nAnswer: 10213\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 476\/5 + -16689\/170. What is the common denominator of 73\/20 and t?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -856\nAnswer: 3\/856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57446239 is divided by 182369.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w + 79. What is u(42)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 85\/4 of a litre?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 2706114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**4\/4 - 1467*k**3\/4 - 2943*k**2\/4 - 1473*k\/4 = 0. Calculate k.\nAnswer: -1, 0, 491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (((sqrt(144) + 2*sqrt(144))\/sqrt(4))\/sqrt(3) - sqrt(72)\/(sqrt(18)\/(-2*sqrt(3)))))**2.\nAnswer: -40*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) -5 (b) 12 (c) -0.4 (d) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/65 in -9\/7, -17, -157?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1593 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1197501, -4790020, -10777551, -19160094, -29937649?\nAnswer: -43110216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sococcccs. Give prob of sequence cosc.\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 14 + 15299*l - 30601*l + 15303*l. What is p(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41575*i**3*n + 214*i**3 + 2*i**2 - 253*i*n + 309*i + 2*n + 247 wrt i?\nAnswer: 249450*i*n + 1284*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*i + 2*i + 1975, -5*m + 2474 = -i. Suppose 4*c - 3*n = 643, 3*c = -3*n + n + m. Let q = c - 86. Calculate the remainder when q is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 78 - 6*m - 389 + 17*m - 9*m as q + k*m and give q.\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5046, -9459, -14026, -18825, -23934, -29431?\n\"Answer: -13*z**3 + z**2 - 4325*z - 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 + 2)\/(-3) + 0. Let t = -276 - -278. Let p(i) = t*i**d + i**2 + 4*i**2. Calculate p(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -427 divided by 5?\nAnswer: -427\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92079 is divided by 23019.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/10 and (-12)\/36*213\/(-32).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, -0.4, -3, -9\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 514, 1527, 3124, 5263, 7902, 10999?\nAnswer: 14512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 28 = -0*g + 4*o, 4*g = -3*o + 36. Let l(d) = d**2 - 4*d - 6. Let t be l(g). Let f(r) = 0*r + 8 + 0 - r. Determine f(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89509652 to the power of 1\/3, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*x - 13*x + 52*x)*(187 + 32 + 82)*(2*x - 4*x + 0*x).\nAnswer: -34314*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 - 10090*u + 10090*u - 98.\nAnswer: u**3 - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54999536*y**2 - 6693836*y wrt y?\nAnswer: 109999072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2*f**3 + 6)*(2 + 8 + 12 + 40).\nAnswer: 124*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -761 + 749. Let s(m) = 2*m + 31. Let f(g) = g + 15. Let i(l) = 10*f(l) - 4*s(l). Let x be i(o). Which is bigger: 9 or x?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30131 (base 6) to base 8\nAnswer: -7547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b. Let i(g) = -2*g**2 + 6*g - 2. Suppose 7*z = 4*z. Suppose z = 7*q - 2*q - 15. Suppose -3*h + l = 1 - q, 2 = 2*l. Calculate h*i(a) + 8*s(a).\nAnswer: -2*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -144410 - -3?\nAnswer: -144402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1300.2 times -2\nAnswer: 2600.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -183 + 263. Let p = -77 + u. Let g be (-22)\/(-4)*(0 + 6). Calculate the greatest common factor of g and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.39913 - -13.4. Round d to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-14))\/(1160\/1015)*4\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10327 divided by -3\nAnswer: 10327\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4104440 (base 5) to base 12\nAnswer: -32405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29\/60 - -1\/12. What is the nearest to i in 2, -3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*o - 10*o - 20*o)*(12 - 31*o + 33*o + 22).\nAnswer: -30*o**2 - 510*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-1)*(-5)\/(-8)*4. Let p = -120 + 48. Let q = v - p. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4582.366ml?\nAnswer: 4.582366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + (3 + -2 + sqrt(108))**2 + -3.\nAnswer: 12*sqrt(3) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4 = k + 9, -4*l = 4*k - 12. Let f = -7 - -22\/3. Let t = 63\/184 + -5\/23. Which is the biggest value? (a) t (b) l (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/(65\/(-13)))\/1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144156589.\nAnswer: 144156589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, j: 10, p: 1, e: 3, i: 2, y: 2}. Give prob of picking 1 y and 1 e.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31754521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4939 + 4941. Suppose 1410 = 5*i - 220. Suppose b*r + 6*k = 2*k + 214, 5*k - i = -3*r. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 2*p**2 - 35. Give s(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 4. Let q be a(3). Let d(r) = -3*r - 12*r + 4*r + 1 + 5*r. Is d(q) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -429*i + 148*i + 9 + 8 + 147*i + 146*i to the form q*i + d and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 103 in 0.3, -146488, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2544783 divided by -59181\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 + 0*x**2 + x**2 + (3*x - 2*x - 3*x)*(-6 + 25 + 27)*(2 + x - 3 - 17*x) in the form z*x**2 + w*x + b and give z.\nAnswer: 1473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-404)\/(-198) + -2)\/(2\/9). Let n = -1.3 + -5.7. Let v = 8.8 + n. Which is the nearest to 0? (a) 5 (b) v (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 129 - 122. What is the highest common factor of 35 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f*m**2*x**3 + 2*f*m**2*x**2 + 2*f*m**2*x + f*x + 4*f + 17*m**2*x**3 - 391*m*x**3 - 7*m*x**2 - 2*x wrt x.\nAnswer: -6*f*m**2 + 102*m**2 - 2346*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/49? (a) 0.5 (b) -11\/4 (c) -1 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -8\/7 (b) 90 (c) -2\/7 (d) 5 (e) 0.51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*w - 201*w**3 - 16*w + 203*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*u = 3*u. Suppose 5*b = 2*g + 2, -5 + u = 5*g. Suppose b*y - 6899 = -5*y - 2*r, 5*y + 5*r - 6905 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106921 at least 106921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**3 + 10*t**2 - 42*t - 32. Let g(d) = 3*d**3 + 7*d**2 - 31*d - 24. Let f(x) = -15*g(x) + 11*k(x). Let y = 15 - 9. Calculate f(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}