diff --git "a/data/dm_maths/full_data_1/10230_11255.jsonl" "b/data/dm_maths/full_data_1/10230_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10230_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Convert 7.351288mm to kilometers.\nAnswer: 0.000007351288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 38 + (2\/7 - 16\/56). Let v = n - 36. Factor 0 + 1\/4*q**v + 1\/4*q.\nAnswer: q*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + sqrt(1088)) + (5 + (sqrt(1088) - (sqrt(1088) + 3 + sqrt(1088))))**2.\nAnswer: -16*sqrt(17) + 1098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 11 = 4*c + 39, 0 = -4*u + c - 10. What is the biggest value in -2, u, -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**8\/3360 - c**7\/630 - c**6\/360 + c**5\/30 - 7*c**4\/4 + 10*c. Let s(k) be the third derivative of x(k). Factor s(d).\nAnswer: 2*(d - 2)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + -938?\nAnswer: -929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1652 and 0.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8561629\/100 - 85617. Find the common denominator of -1\/300 and b.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/3))**(-6) assuming d is positive.\nAnswer: d**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.04 - -0.04. Which is the second biggest value? (a) l (b) -3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*w - 7250 = -172*w + 39*w for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2726 = -23*y + 2304 + 1411 for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1352 = -5*r + 2*x, 0*r + r + 5*x - 265 = 0. What is the units digit of r\/(-4)*2\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*i + 15 = 0, i + 42 - 36 = 2*x. Solve 5*k = -x*f + 20, k = -9*f + 12*f + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -73773, -295088, -663947, -1180350, -1844297?\n\"Answer: -73772*s**2 + s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.01, -204 in descending order.\nAnswer: 0.1, -0.01, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18741 and -1.\nAnswer: -18741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n - 18*n - 10 = 0 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13739.34 nanograms to micrograms.\nAnswer: 13.73934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4266140315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 11:36 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 139437344 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**6\/18 - t**5\/15 - t**4\/4 + 5*t**3\/9 - t**2\/3 - 208. Factor r(l).\nAnswer: l*(l - 1)**3*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p - 256 = -128 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 2*m**2 + m - 2. Let y be o(0). Let v(t) = -3*t**3 + t**2 + 3*t + 2. Give v(y).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/6 - 96235*g\/6 + 48119.\nAnswer: -(g - 3)*(g + 96238)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -6522929 (b) 0.2 (c) -1 (d) -3 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6868.349 to the nearest ten.\nAnswer: -6870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + v + 1 = 7, x + 4*v - 19 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -10\/3 (b) 0.07 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 9*x - 3. Let m be a(8). Suppose m*l - 3 = 22. Let k = l + 4. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15810647 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11256 + 5.\nAnswer: 11261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 631044, 1262086, 1893128, 2524170, 3155212, 3786254?\nAnswer: 4417296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 5*q - 4. Suppose 8 = 2*n - 0. Suppose 6*v + 12 = n*v. What is the least common multiple of 18 and f(v)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)*i)\/(i*i**(-3\/14)) assuming i is positive.\nAnswer: i**(-11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 445024 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 48*t**3 + 20*t**2 + 20*t. Let j(a) = 7*a**3 + 3*a**2 + 3*a. What is 40*j(c) - 6*k(c)?\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-2)\/(-4) - 3. What is the closest to 0.29 in 3\/2, b, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 59*a - 902. What is p(17)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 11:05 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 8. Let s be d(-5). Calculate the highest common divisor of s and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**3 - 8*r + 12. Let a(o) = -3*o**3 + 5*o - 8. Let b(k) = k**2 + 9*k - 8. Let m be b(-9). Let g(v) = m*a(v) - 5*d(v). Determine g(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87 - -105) + 2 + -8 + -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3209329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 147 - 280*w**5 - 2*w**2 + 367*w**5 - 179*w**5 wrt w.\nAnswer: -5520*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4941142841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, b: 1, p: 2, w: 3}. What is prob of sequence qbw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -8*n - n**4 + 3*n**2 - 2*n**3 + 6*n - 8*n - 15*n**2 - 5. Let j(k) = k**3 - k**2 - k - 1. Let r(d) = 3*j(d) - m(d). Solve r(p) = 0 for p.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 548081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-3) + 748\/6. Let y = -1987 - -1868. Let j = h + y. Solve -3*p - j = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.443 rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 223099548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -174 + 354. Suppose -w + 3*w = h. What is the remainder when w is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1573)*-1 + sqrt(1573))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32180, 64225, 96270, 128315, 160360?\nAnswer: 192405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*o + 17, 2*o + q = -2*q - 7. Suppose 19 + 1 = -o*v. Put 0, -0.1, v in descending order.\nAnswer: 0, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027246 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: Let p(y) = 2*y. Let i(b) = 15*b - 11*b - 22*b**2 - 4*b. What is p(i(u))?\nAnswer: -44*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3290 divided by -46.\nAnswer: 1645\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 10:03 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 + -57.54. Let v = 6.64 + d. Let k = v - 6. Is k >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 2.56\nAnswer: -0.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 0)*(4 + 4 - 5)*(0*f - f - f) to z*f + h and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -34228, -34135, -34020, -33877, -33700?\n\"Answer: x**3 + 5*x**2 + 71*x - 34305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 187.8499ml in litres?\nAnswer: 0.1878499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -9, 5 in descending order.\nAnswer: 5, 0, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 9*j**3 - 9 + 5*j**2 + 0*j**3 + 4*j**2. Let y(s) = 4*s**3 + 4*s**2 - 4. Determine 6*w(l) - 13*y(l).\nAnswer: 2*l**3 + 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*d + 4*o, -3*o = -2*d - d + 24. Suppose 5*a + t = 16 + 5, -4*a - 3*t + d = 0. What is the nearest to -2 in a, 2\/15, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 719, 1859, 3799, 6887, 11471, 17899, 26519, 37679?\nAnswer: 51727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g + 5. Let a be -2*(-7 + 4 + 5). Let k(r) = r - 4*r + 5*r + 4. Give a*y(v) + 5*k(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 3 - 12. Suppose -5*o - 7*a + 300 = -2*a, 0 = j*o + 2*a - 185. Let z = o - 43. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -526986306505 - 1?\nAnswer: -526986306506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a kilogram in grams?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 167 divided by -34\nAnswer: -167\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/2 + 4612749*n + 7092484445667\/2.\nAnswer: 3*(n + 1537583)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -6064.\nAnswer: -6063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**3 - 3*o**3 + 0*o**3 + (235*o + 235*o - 735*o)*(-o**2 - o**2 + 3*o**2) to the form n*o + u*o**2 + t + w*o**3 and give w.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156165323 and 226519?\nAnswer: 7811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -77 - 44*u + 77 in the form h*u + y and give h.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2379705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3)**(-18)*k**(5\/6)\/k**(4\/7) assuming k is positive.\nAnswer: k**(-2257\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 - -4.96. Let p = -365 - -365. What is the nearest to 0 in l, -3, p, 0.11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 9) to base 2\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**0)**32\/(y**1*y*y)**2)\/((y**0)**(5\/7)*(y**(-2\/5))**(-8\/9)) assuming y is positive.\nAnswer: y**(1154\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103 or 2\/9?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-159)\/(-78) - (190 + -188). Which is the closest to -1? (a) -23 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18, -92, -274, -612, -1154, -1948, -3042?\n\"Answer: -8*t**3 - 6*t**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 226 + -226.0001026. Round p to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**5*p)\/(p*p\/(p\/p**(-2)))*(p*p**(-1)*p*p)**(-9\/4))\/(((p**(-6)*p)\/(p\/p**(2\/7)))\/(p**(-1)*p)**(-49)) assuming p is positive.\nAnswer: p**(115\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*n - 3. Let b be n - (0\/(-1))\/3. Let y(x) = -x**3 - 11*x**2 - 9*x + 8. Let l be y(-10). What is the closest to b in l, 0.5, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millisecond in nanoseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 72243, 144493, 216747, 289005, 361267?\n\"Answer: 2*z**2 + 72244*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/15? (a) 0.1 (b) 0.5 (c) -5119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 2. Suppose -3*q + b = -6, -18*q = -17*q - 3*b - 2. Calculate p(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 8*i + 8. List the prime factors of t(6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5\/3 (b) 15 (c) 1\/4 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2 + sqrt(448) - sqrt(448))*4 + 3 + sqrt(448) + -2 + sqrt(448)*1 + sqrt(448) + 1 + sqrt(448)*-2 + 4)**2.\nAnswer: 272*sqrt(7) + 737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 755 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/29)*i)\/i**(2\/3)*i**(-14)*i**(-6) assuming i is positive.\nAnswer: i**(-1705\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 divided by -16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 212 = 4*i, j + 2*i = -3*j - 296. Suppose -5*g - t = -4*g - 75, t = -3*g + 231. Let l = g + j. Solve -3*x = -x + l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {w: 8, a: 6, r: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18112873 - -398732087\/22. Let p = -11315 + q. What is the common denominator of 575\/(-70) + (0 - -1) and p?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 26\/5, -5, -3, -23, -2\/5, 2, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -2 - 73*-1. Let h = 207245 - 206849. What is the greatest common factor of h and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 22 = -4257. Let s = v - -72. What is s rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 41 + 0*c**2 + 1\/2*c**4 + 7\/6*c**6 + 28\/3*c**3 + 0*c + 0*c**5. What is the third derivative of u(o) wrt o?\nAnswer: 420*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 3:30 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 + 474\/7. Let q be (-3)\/4*-2 + -1. Which is the nearest to q? (a) 2\/13 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*n + 4*n. Let m = 0 + -1. Which is smaller: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42129 is divided by 980.\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q**4\/2 - 953*q**3 - 56956*q**2 = 0. What is q?\nAnswer: -58, 0, 1964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -6. Let d(r) = -r**2 + 43*r + 96. Let m be d(45). Solve -x*j + 4 + m = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (2 + -3)) + (-7 - -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*g - u, 0*u + 2 = -2*g - 4*u. Suppose 0 = 7*d - g - 11. Determine o, given that o + 3\/2 - 1\/2*o**d = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -250 + -12651645\nAnswer: -12651895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 2. What is the third derivative of -3*h**2 - 13*h**6 + 8*h**2 + 16*h**t wrt h?\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -21*p - 21. Let u(q) be the third derivative of 0 + 0*q + 7*q**2 - 2\/3*q**3 - 1\/6*q**4. What is -2*l(d) + 11*u(d)?\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 1:14 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(891)*-4 + 3 + -4)**2*3.\nAnswer: -864*sqrt(11) + 684291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 395*k**2. Let o(n) = n**2 - 6*n - 2. Let m(i) = 3*i + 1. Let z(s) = 6*m(s) + 3*o(s). Determine h(z(j)).\nAnswer: 3555*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 7*c - 4*c)*(5 - 4*c - 5) + (-3*c - 2*c + 6*c)*(-2 + 5*c + 2)*(-13 - 16 + 10).\nAnswer: -111*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -142 + 189*x - 537*x**2 + 139*x**2 + 132*x**2 + 139*x**2 + 128*x**2 wrt x?\nAnswer: 2*x + 189","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**3\/2 - 6174*o**2 + 74007*o\/2 - 55485 = 0.\nAnswer: 3, 4110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1803, 2, -890?\nAnswer: -890","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, x: 1}. Give prob of sequence aa.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -748.916 times 1\nAnswer: -748.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*n - 2 + 303*n**2 - n**3 + 4 - 308*n**2 - 1 in the form t*n**2 + o*n**3 + r + s*n and give s.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1730903 minus -2?\nAnswer: -1730901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/(h\/(h**2*h))*(h\/(h\/(h**(-8)\/h)))\/h*h*h*h**8\/h)**(-48) assuming h is positive.\nAnswer: h**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -706 - -1693. Let v be n\/235 + (0 - 1\/5). What is the third biggest value in v, -1\/4, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 61\/2 of a meter?\nAnswer: 3050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - l**2 + 5*l**2)*(2*l - 4*l + 0*l) - 4*l**3 + 7*l - 7*l + (l**2 - 5*l**2 - 4*l**2)*(-4*l + l + 4*l)*(1 - 4 + 2).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8338769 is divided by 2929?\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 61 - (26 + -10) - (0 + (-10 - -5))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 8, -u = -w - 0*w. Suppose 11*a - 106 = 125. Sort a, w, 0.\nAnswer: 0, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**3\/6 + 3*b**2 + 8*b. Let c be 1\/(-3) + (-49)\/(-21). Suppose 4*u + y - 32 = 0, -3*u - c = -u - 4*y. Give t(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (25551\/4)\/(-3). Let f = 38399\/18 + x. Find the common denominator of (21\/54)\/((-2)\/(-42)) and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1514 + -1512. Suppose -4*f = -4*b - 12, 4*f - 5*b - 1 = 12. What is the nearest to f in -2\/17, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 10*v - 13. Let q be r(-4). Let t = -33 - q. Solve -6*p = -p - t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a**3 - 7*a**2 + 2*a - 2. Let x(o) = o**3 - o**2 - o. Let h(v) = -q(v) + 3*x(v). Is h(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6 = -18. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 59*s**2 + 253*s - 48. Determine h(63).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -3*b - 414, -680 = -2742*p + 2737*p + 2*b + 3*b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29, 34, 55, 104, 193, 334, 539?\n\"Answer: 2*k**3 - 4*k**2 + 3*k + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 - 35. Let m(q) = 17*q - 35*q + i*q. Let r(z) be the second derivative of -z**3\/3 - z. Calculate m(r(a)).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 148\/6847 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010000000101111101100 + 1?\nAnswer: -100010000000101111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - 73. Let c = t + 56. Let f = 5 + 6. What is the remainder when c is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014707600381 to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 540 = -2*k, 5*k - 7*k + 4*b = -546. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 15 + (-1 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.22, -5, 450, 176 in increasing order.\nAnswer: -5, 0.22, 176, 450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 - 8*o**2 + 5*o + 9. Let k be t(-6). Let f = k + -88. Is 35 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439815487 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12572 is divided by 70?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -331 - k - k**2 + 331. Calculate a(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 37672?\nAnswer: -1\/37672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 52*f**2 + 1435*f - 2120. Determine h(-29).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 510*o**2 - 4078*o - 16.\nAnswer: 2*(o - 8)*(255*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.21 and -1.65.\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 19536 = -31*t + 14*t. What is the greatest common factor of 481 and t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 10*h. Let r(z) = -z**3 - z**2 + z + 21. Let g be r(0). Let t = -5 + g. What is the lowest common multiple of d(-8) and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 34 = -u, 5*h = 5*u - 17442 + 17472 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 8*j**2 - 15*j + 1. Let s be a(-11). Let t = -277 - s. Let w be (-2)\/(-6) + t\/(-30). Put w, 0, -3 in increasing order.\nAnswer: -3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/4 + 1114603*s + 2229207 = 0. What is s?\nAnswer: -2, 4458414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32569?\nAnswer: 32569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 72 and 11526.\nAnswer: 11598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -91 - -321?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1208653009 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.9 less than 0.0884861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2. Let f(d) = 93*d**2 + 4*d - 4. Let i(b) = 187*b**2 + 7*b - 7. Let h(a) = 7*f(a) - 4*i(a). Give w(h(x)).\nAnswer: 18818*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 292, 547, 802?\nAnswer: 1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1415251 by -1.\nAnswer: 1415251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8323 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 i when two letters picked without replacement from uuduuidouoououbuobb.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -36\/11 (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 13786.\nAnswer: 55144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30373 is divided by 1779.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (57 + 13 + (-29 - 13))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 712421070?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-3)\/(-3) - 2). What is the tens digit of (-17 - -5)*10\/x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k**2 - 80 - 91 - 4*k + 177 + 3*k**2. What is b(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - (-3 - (-4 - -8)\/1). Solve o = -5*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-1) + -3 + 18\/9. Suppose -14*s = k*s - 25175. What is the hundreds digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6110170?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -1696?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 + 0.01. Let t = 417 - 420. What is the nearest to x in t, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266088463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**1)**31*(r**(-1))**(-8) assuming r is positive.\nAnswer: r**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 66 = 26. Suppose -3*o - 3 = 0, -2*p + u = 4*o - 8. Calculate the remainder when 63 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34384695?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 39\/15 - (-4)\/10. Let a(n) = 3*n**2 + 5*n. Let i be a(-2). Suppose i*x = -y*x + 20. Solve 3*k = l - 8, -2*l - x = 3*k + k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 3 + 2*x**3 + 1 + 3*x**3.\nAnswer: 5*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*m - 24652 + 24652)*(0*m - 2*m + 4*m).\nAnswer: -96*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -214*u**3 - 15*u**2 - 5*u + 5. Let d(y) = 212*y**3 + 12*y**2 + 4*y - 4. What is 5*d(z) + 4*i(z)?\nAnswer: 204*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 14010\/42 + -8. Let t = -327 + x. Solve 2\/7*b**4 + 4\/7*b**3 + 0*b**2 - t*b - 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514896694?\nAnswer: 2, 13, 19, 80177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92 + 93. Which is the closest to 0.04? (a) -0.4 (b) z (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/7 - (-7)\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/216 and 67\/64.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 6 = 4*f - 15, 4*f = 3*j + 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/4 of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 335 = 590. Suppose 0 = 6*t - t - g. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**2 - 33*l + 9. Let x(v) = v**2 + 15*v - 4. Let b(s) = 4*j(s) + 9*x(s). Calculate b(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 55 = 4*w. Calculate the smallest common multiple of w and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34*6.4.\nAnswer: -217.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -281 + 281. Let o(y) be the first derivative of h*y**2 - 3 + 1\/2*y**4 + 2*y + 2\/3*y**3. Give o(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 7*j - 36. Suppose -4*g + j*g = 20. Suppose -3*h + 64 = -g*y, 0*y + 48 = 4*h + 4*y. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57406709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/7)*p**(-10))**(8\/7) assuming p is positive.\nAnswer: p**(-544\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5422697*s**2 - 137147*s - 15?\nAnswer: 10845394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 13. Let y = -2 - -5. Let q be 12*9\/54 + -2 + -3 + 3. Which is the smallest value? (a) 6 (b) f (c) q (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - (sqrt(19) - (5 + sqrt(171)))**2 - (sqrt(304) + -4).\nAnswer: -23*sqrt(19) - 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z + 0*z**4 - 2*z**4 - 5*z**2 - z + 0*z**4 in the form q*z + o*z**3 + h*z**2 + m + n*z**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -59*c**2 + 4\/3*c**4 + 93*c + 27 + 13\/3*c**3.\nAnswer: (c - 3)**2*(c + 9)*(4*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/14)\/(4020\/804)*10.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1959433 is divided by 2616?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -29*g + 26*g + 4, 4*f - 2*g - 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 7*c**2 + 3*c - 4. Determine r(5).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*1\/(-1)*5\/(-3120)*8?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51 and 0.0281.\nAnswer: 1.4331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2159 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 9*v**2 + 9. Suppose -32*i + 26*i = 72. Calculate the smallest common multiple of c(-9) and -5*(-30)\/(-25) - i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.8 + -4.1. What is the third smallest value in -5\/4, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**28)**26\/(u**(1\/34)\/(u\/(u\/u**(-2\/3)))) assuming u is positive.\nAnswer: u**(74185\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 2*n = -18. Put 0.12, 2\/19, n in decreasing order.\nAnswer: n, 0.12, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30392 - 19521. What is j rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -116.8 - -113.8. Let j = -0.2 - -1.2. Which is the closest to j? (a) -4 (b) -0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 624 + -438. Suppose 5*g + 2*n - 280 = 0, -94 = -5*g - 3*n + u. Suppose 3*j - g = d, -35 = -2*j - 2*d - 3. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -6, 91, -16, 3, -1 in descending order.\nAnswer: 91, 5, 4, 3, -1, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*s - 39029, -3*s + 156116 = -6*m + 10*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 280\/120*6\/7. Solve -4*p - 18 = -5*z, 6*p = -z + 3*p - h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19416 divided by 1\nAnswer: 19416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from apiaip. What is prob of sequence aap?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (-1016)\/13 - (-8)\/(-52). Calculate the highest common divisor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, l: 16}. What is prob of sequence lv?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*s*w**3 + 35*s*w**2 + s*w + 328*s + 12905542*w**3 wrt s.\nAnswer: -5*w**3 + 35*w**2 + w + 328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6c24c (base 14) to base 3\nAnswer: -111101222111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 0.5. Let z = -0.0186 - 0.1814. Put 4, n, -1, z in increasing order.\nAnswer: -1, z, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*h + 2. Let k(v) = 797498*v**2 + 5*v - 2. Let r be k(h). Round r to the nearest one hundred thousand.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (10 - 20 - -11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -133840 rounded to the nearest one thousand?\nAnswer: -134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 59959\nAnswer: 4\/59959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25560 divided by 25560.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -29988.\nAnswer: -29988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4))**(10\/3)\/((x*(x\/(x**0\/x))\/x)\/(x\/x**6)) assuming x is positive.\nAnswer: x**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 12 + -5 - (-23 - -3) - 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, i: 3, j: 4}. What is prob of picking 2 t and 1 i?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + l**2 + l. Let z(v) = -4*v**3 + v + 1. Let w(j) = -5*i(j) - z(j). Suppose n - 2*q - 3 = -2, 3*n + 4*q = -27. List the prime factors of w(n).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 3, 6, -5 in descending order.\nAnswer: 6, 5, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(6\/11)*m*m**(1\/8)*m*m**27*m*m**(1\/22)*m*m assuming m is positive.\nAnswer: m**(2879\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-7))\/((-1)\/(-7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 + 2*l + 4. Let k(g) = g**3 - g - 3. Let y(q) = 3*k(q) + 2*z(q). Determine y(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 0*m + 0*m)*((-1 + 1 - 2)*(2 - 2 - m**2) + (-2*m**2 - m**2 + m**2)*(2 - 1 + 0) - 4 + 3 + 26*m**2 + 3*m**2).\nAnswer: -29*m**4 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, p: 1, u: 1}. What is prob of sequence rp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3309 - -407005\/123. Let m = u + -13\/41. Let f = 102 + -99. Is m > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-42)\/12*4\/7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1252 divide 351864085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 915 and 1329617.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2084 + 2150. What is the remainder when 4353 is divided by t?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*f**3*j**3 - 28*f**3*j*k + 2*f**2*j*k - 3*f*j*k + 2*j**3*k + j**2*k wrt j?\nAnswer: 30*f**3*j + 12*j*k + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496 is divided by 127.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98085 and 17605.\nAnswer: 686595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -3*q - q. Let y(n) = n + 25. Let d be y(q). Solve -r + 4 = x - 0*r, 4*x - 2*r + d = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by -4.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 82307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 22*i**2 + 19*i + 24. Let l be r(21). Let b be 6\/l*(-3 - -2). What is the nearest to -1 in b, 3\/7, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1978 divide 556154540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2 = 5*s - 11, 3*s = d + 8. Let j be (4 - 2)*(-1 - -2). Solve j*a = -a + s*x - 18, -5*a = 5*x - 20 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -7*y + 5*f + 90, -2*f - 78 + 141 = 93 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 110 (b) 5 (c) 4 (d) 1 (e) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 448, 887, 1326, 1765, 2204, 2643?\n\"Answer: 439*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -856.9 + 857. Which is the biggest value? (a) 3 (b) g (c) 2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 34 = -11*a. Suppose -2*g - 3*j = -5*j - 12, 4*g = 2*j + a. Let n be 8*1*g\/22. Sort 5, 3, n, 0.\nAnswer: 0, 3, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 16 + 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1319681\nAnswer: -1319677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) -0.4 (c) 0.1648 (d) -681\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventy-four fifths of a kilogram?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*m = 24, -37 = -6*b - 5*m - 5. Let u be -1 + (6 - 1\/1). Solve u*t - 2 = b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*x + 381 + 13, 3*v - 3*x = 309. Suppose -3 = f, -4*t - 80 = 5*f - f. Let k = 27 + t. What is the greatest common factor of v and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjxwxxyxw. Give prob of picking 2 j and 2 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*r - 12*r + r**2 - r**5 - 29*r**3 + 29*r**3 wrt r?\nAnswer: -20*r**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 76 = 4*f. Let t = -13 - f. What is the lowest common multiple of 8 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/167 + 677\/501. What is the nearest to 1\/3 in -1\/15, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 25786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 - 4) + 18 + 318\/(-1). Let v be (k\/(-91))\/((-8)\/28). Let z(t) = -2*t - 20. What is z(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26*4\/(-32))\/((4\/(-10))\/(1456\/1820))\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -41 - (-9 + 1)\/(-4). Let v = a + 292. Let h = v - 14. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**4\/3 + 25*q**3 + 8178*q**2 - 99004*q\/3 + 33096 = 0.\nAnswer: -126, 2, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -849337, -849275, -849153, -848965, -848705, -848367, -847945?\nAnswer: -847433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/711 or -10848?\nAnswer: -10848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.8496486 microseconds?\nAnswer: 0.0008496486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2. Let b(n) be the first derivative of 5*n**2\/2 - 71. What is b(c(d))?\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59.11 + -0.89. Let d = 56 + m. Let p = -9\/76 - 5\/38. Which is the third biggest value? (a) d (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) 1\/2 (c) -0.5 (d) -9.9 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45225*o**2*t + 28*o**2 - o*t + 3*t + 438742 wrt o?\nAnswer: 90450*t + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 21 - 1 = -5*s + 120, -7*g = 4*s - 140 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-888)\/222)\/((-20)\/15*(-2)\/4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from jbcsbbcvvvbbl?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 3*i + 17. Determine d(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15874921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/9 + 5\/(-3). Sort z, 0, -32 in ascending order.\nAnswer: -32, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 21, 2\/2565, 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 12*i**2 + 11*i - 3. Let j be 9 - (-6 - -9)\/1. Let h be 2*(118\/(-20) + j\/15). Determine c(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y**2 + 3*y**2 - 6*y**2 + (-2*y + 0*y - 3*y)*(-2*y + y - y) + 2*y**2 + 1 + 3*y - 5*y + y**2 to a*y + q + v*y**2 and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4880 by 2440.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -212, -336, -460, -584, -708, -832?\nAnswer: -956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 160, 2, -3, 0.3, -5\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 0.2, 0.25, 0.9, -0.16 in increasing order.\nAnswer: -3, -0.16, 0.2, 0.25, 0.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 367 - -10a796?\nAnswer: 110052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m = 0. Let b(w) = -4*w**3 - 9 + 2*w**3 - 2*w + m*w**3 + 3*w**3 + 6*w**2. Let u = -56 - -50. What is b(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjf when three letters picked without replacement from jzfjjfzbfjoffffz?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 172*s - 4862 + 1250 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**2 - 8*t**2 - 1333*t**4 - 7071*t + 8*t**2 - 410*t**4 wrt t?\nAnswer: -20916*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-5 + 5 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 154 - 2186 = 0. Suppose a + 12*a = v. Suppose -4*q + 14 + 222 = 0. What is the remainder when q is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 567225?\nAnswer: -567226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-1 + (-39)\/(-52)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -76 (b) 0 (c) 1\/14 (d) 2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.5106 rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -98785109749.0003047 + 98785102459. Let y = n - -7290. Round y to 5 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -180 - -2242?\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -768988, -3075788, -6920476, -12303070, -19223588?\nAnswer: -27682048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-7) + (-144)\/(-14). Let u be (-2)\/6 + 26\/6. Suppose u*z = -z + 4*a - 5, a - 2 = z. Solve 4*r + 5 = l - w, -z*l + 3 = 2*r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m**5\/3 + 131*m**4\/3 + 100*m**3\/3 - 4*m**2 = 0 for m.\nAnswer: -6, -1, 0, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0045129 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12721490 is divided by 13391.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0. Let v = -0.08 + 0.19. Let x = v - -0.29. What is the closest to a in 3\/5, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0488 plus 1169?\nAnswer: 1168.9512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158843.\nAnswer: 158843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*(s*s**(-2\/25))\/s))\/s**(-1\/3))\/((s*s*s*s**(1\/4))\/((s\/(s*(s\/(s**(-3\/2)*s*s))\/s*s*s))\/s)) assuming s is positive.\nAnswer: s**(-1601\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.4 - 8.4. Which is the second biggest value? (a) 2\/29 (b) -0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2796927 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 23. Let h be j(-20). Suppose 5*r - 18 = -h. Suppose -4*f - 712 = -5*m, -2*f + f + 434 = r*m. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(891) + 3.\nAnswer: 2 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 1\/60*h**4 + 1\/30*h**3 - 1 + 0*h - h**2 + 1\/300*h**5. Let d(k) be the second derivative of o(k). Factor d(f).\nAnswer: (f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 1964*p + 94086. Give l(-48).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 820*r - 763*r - 5 - 873*r + 822*r + 5.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 1 - 15)*(-2*q**2 + 4*q + 2*q + q**2)*(-3*q + q + q) to the form y*q**2 + m + a*q + t*q**3 and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t = -30*t + 20. Find the first derivative of 14 - 22 - 3*k**4 - 2*k**t wrt k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8542, 8924, 9398, 9970, 10646, 11432, 12334, 13358?\n\"Answer: f**3 + 40*f**2 + 255*f + 8246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5403284 divided by -4\nAnswer: 1350821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000164085765 rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1461602921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (50\/120)\/((-2)\/6807). Let s = 1420 + i. Let n = s - 11\/8. Which is the nearest to -2? (a) n (b) 2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/9*-4*2\/(-8)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 5*s**2 - 2*s - 2. Let p be w(5). Let y be (7 + -3)*p\/9*3. Let o(v) = -v**3 + 8*v**2 - 10*v + 4. Let g be o(7). Which is greater: g or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 363*q**2 - 1558*q + 103761. Calculate w(-368).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 22*q - 1652. Give s(-46).\nAnswer: 1476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 678078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 899 - 899 + j**2. Let o(z) = -20*z**2. What is o(m(s))?\nAnswer: -20*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 5530.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 4. Let y be (m - 5)\/(-3) - -3. Suppose 131 = y*j - 1. Calculate the remainder when j is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 divided by -4?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -t + 2, -3*t - 3 = 3*w + 9. Let c = t - -5. Differentiate -4*p**c + 1 + 2 + 9*p**3 wrt p.\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 7*l + 4. Suppose 3*p = 5*h - 2, 2 = -2*h + 3*p + 10. What is the remainder when x(7) is divided by h\/(-3) + 21\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v = -12. Suppose v = -4*i + 66. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*z - 17034 + 16987 = 0, 0 = 2*f + 3*z + 29. Let b be ((-18)\/21)\/((-2)\/1). What is the nearest to f in 7\/5, -2\/19, -4, b?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11029 (base 12) to base 7.\nAnswer: -122406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 18 = -5*h, 2*h = -1 - 3. Suppose o*q = 154 - 114. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -7*z - 16. What is i(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from xwwxwxwwwwxxx?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*q**4 + 85*q**3 - 145*q**2 - 25*q + 70 = 0. Calculate q.\nAnswer: -7, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5510, 5499, 5488, 5477, 5466, 5455?\n\"Answer: -11*d + 5521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b - 141 = -24 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*q - 16. Suppose 13*t = q*t + 80. Suppose -4*s + 187 = 5*h, 0 = s - 4*s - 5*h + 139. What is the highest common divisor of t and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-15)*u\/((((u\/(u\/(u**(-10)\/u))*u)\/u)\/u)\/u))**29)**(-46))**17 assuming u is positive.\nAnswer: u**22678","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -179.69 + 163. Let n = c + 17.9. Round n to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*(sqrt(170) - (sqrt(170) + sqrt(170) + sqrt(170)*-2)) + sqrt(170) - sqrt(170))\/((sqrt(160) - sqrt(10))*3).\nAnswer: -5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 46. Let x = s + -20. Let l = x - -2.5. What is the third biggest value in l, -1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4788559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 7*o**2 - 13*o - 22. Calculate the remainder when t(-8) is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17.62 and 0.093?\nAnswer: -1.63866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = 10 - 46 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**3 - 30*q**2 + 2*q - 20. Is a(10) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**5 - r**3 + r + 1. Let i(g) = 16*g**5 - 6*g**3 - 6*g**2 + 6*g + 6. Let m(w) = -6*h(w) + i(w). Find the third derivative of m(u) wrt u.\nAnswer: 600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47102 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fccoyfcc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*s + 14 + 4 = 0, -3*i - 3*s = 0. Let g be -8 - 16\/((-144)\/27). What is the third smallest value in i, g, -2\/11, -0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4544*q - 2821837. What is d(-621)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-253) - (-2102)\/(-368) - (-60 + 56).\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -6. Let o = -1.99 - n. Let t = o + -0.0012. Round t to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -89399*j**4 + 52467 wrt j?\nAnswer: -357596*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/70 - 205\/(-25). What is the common denominator of 336\/(-588)*87\/g and 65\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7823747 + 2?\nAnswer: 7823750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -1149.\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 - 2*m - 1. Let g be i(-1). Suppose -3*k + q + 7 = 0, 4 + 1 = g*k + 3*q. Suppose k*r = -r + 30. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336508 is divided by 478.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 952 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 113 - 53. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1971 - -2211. Factor 5\/4*b**3 + 640 + k*b + 30*b**2.\nAnswer: 5*(b + 8)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**3 + 9*i**2 + i + 28. Let v(p) = -7*p**3 + 18*p**2 + 3*p + 56. Let y(x) = 9*j(x) - 4*v(x). Is y(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (8 - (56 - (18 + -18)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101245, -405242, -911923, -1621288, -2533337, -3648070?\nAnswer: -4965487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 16. Let p be j(-19). Suppose 4*b = -4*r - 0*b + 76, 27 = 3*r - p*b. Find the second derivative of -5*n**5 - n + 6*n**5 - r*n**5 wrt n.\nAnswer: -260*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2508 = 2*v, -s = -30*v + 33*v + 617. Let u = 756 - s. Does 61 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515171448 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1294726 tonnes to nanograms.\nAnswer: 129472600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10 - 11)*((-4)\/(-2) - 5). Let f = 65 - h. Solve 0 = f*c + c + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 12 = 5*x. Let w be (-16)\/x + -13 + 3. Let q(a) = -a**2 - 14*a + 20. Let y be q(w). What is the highest common divisor of 50 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-17)\/(-8) + 8\/(-4))*3. Let n(l) be the second derivative of -7\/40*l**5 - i*l**4 + l + 0 + l**3 + l**2. Find z, given that n(z) = 0.\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-9) - (13915\/(-99))\/11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**6\/120 + m**5\/10 + 143*m**4\/3 + 1650*m**2. Find the second derivative of q(z) wrt z.\nAnswer: -6*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/14)\/((-16)\/(-28)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 763061542?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6320)\/(-7))\/10 + (-2)\/7. Calculate the highest common factor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*(sqrt(63) + 2)**2 - (sqrt(63) - (sqrt(63) - (sqrt(126) - (sqrt(126) - (sqrt(126)*-1 + sqrt(126))))\/sqrt(2)))).\nAnswer: -266 - 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejp when three letters picked without replacement from mejmpmjemei.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*g - 148 = 79, 230 = 2*u - 2*g. What are the prime factors of u?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 s when two letters picked without replacement from {k: 3, n: 6, s: 2, d: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/9))\/i**(1\/23)*(i**(-5\/3))**(-29) assuming i is positive.\nAnswer: i**(10226\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2129433 or 2129608?\nAnswer: 2129433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y - 14704290747 + 14704290747 + 0*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, p: 4, m: 1, r: 3, f: 1, q: 3}. Give prob of picking 1 l and 1 p.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven eighths of a century?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yygsgssss. Give prob of picking 2 g.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1259 + -1099. What is the highest common factor of n and 2960?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30532.\nAnswer: 2, 17, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 26 = 4*h - m, m = 4*h - 29. What is the least common multiple of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0738 and 63652680.3.\nAnswer: 63652680.3738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4990898, 4990899, 4990900, 4990901, 4990902?\n\"Answer: g + 4990897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40*(-1 + 3 + 0). Find the common denominator of (-344)\/c*(1 - 0) and -71\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.292572kg to tonnes.\nAnswer: 0.004292572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4496*w**2 + 2085*w**2 + 3756*w**2)*(2*w**3 - 1 + 1).\nAnswer: 20674*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -65. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 334 - 334 - 5*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 133997432 a multiple of 597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 0, 19, -88 in ascending order.\nAnswer: -88, -1, 0, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 341897.95799928 + -341898. Let s = p - -0.042. Round s to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 47599\nAnswer: -4\/47599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13257*a + 6928*a + 6340*a.\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n**2 + 233*n - 1646. Let o(y) = 6*y**2 - 237*y + 1665. Let l(p) = 2*o(p) + 3*z(p). Factor l(k).\nAnswer: -3*(k - 67)*(k - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from susuuuuuusssss. Give prob of sequence us.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3182, -12760, -28714, -51038, -79726, -114772, -156170?\n\"Answer: u**3 - 3194*u**2 - 3*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m = -14*m - 12, k + m + 4 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, d: 4, y: 7}. What is prob of picking 1 d and 1 c?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5239831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0 = -5*g + 21, 3*j = 3*g + 9. Let k be (3\/(12\/176))\/2. Let l = -19 + k. Solve -l = m - g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3292400?\nAnswer: 2, 5, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -25. Solve l*a - 9 = 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 97902*j**3 - 4058208*j**2 + 770328*j - 36640.\nAnswer: 2*(21*j - 2)**2*(111*j - 4580)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/22)\/(658\/(-517)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3677 is divided by 1228.\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 - -51. Let q be (-4)\/(-1) - (c\/(-5) - -3). What is the second derivative of -13*y - 8*y - 67*y**3 + q*y + 54*y**3 wrt y?\nAnswer: -78*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 6 - 2*n**3 - 2*n**2 + 2*n**2 + n**3 + (-4*n**3 + 5*n**3 + n**3)*(-1 + 2 + 0) + (-n + 2*n + n)*(-n**2 + 4 - 4).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6032434019 rounded to 3 decimal places?\nAnswer: -1.603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27 + 12 + 18)*(66*a**2 - 351*a**2 - 229*a**2) to b*a**2 + q*a + t and give b.\nAnswer: -1542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 396818771 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669 is divided by 219?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 9)\/(9\/(-3)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346*s + 88 = 354*s. Suppose -s*z + 9234 = -4252. What are the prime factors of z?\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tymymmwtjtytktmtkyw. Give prob of sequence wytj.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w - 2. Suppose -s = -2*l + 295, 4*l - 7*l + 453 = 2*s. Let m(f) = 3 - 152*f + l*f + 0. Let u = -4 + 8. Determine u*m(r) + 5*v(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-510)\/(-187))\/15)\/(70\/77).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 60794 or 60797?\nAnswer: 60797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 31 = -4*f + 2*f, 28 = f + 5*p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 + 31144*j - 15571*j - 15573*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*l**2 + 2 - 12*l**2 - 2*l**5 - l**3 - 3*l**5 + 4*l**5 + 0*l**5 + (0*l**2 + l**4 + 0*l**2)*(2 - 2 - 2*l).\nAnswer: -3*l**5 - l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -173 (b) -86\/783 (c) 2\/3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/910 and 29\/490?\nAnswer: 6370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from 0.32755.\nAnswer: -5.67245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1924 (b) -3 (c) 0.1055 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 42*u**2 - 5*u - 183. Calculate the remainder when q(-42) is divided by ((-12)\/18)\/((-1)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -3. Let m(c) = c**2 - c. Let a = -25 + 23. Let q(p) = 5*p**2 - 4*p - 1. Let h(f) = a*q(f) + 11*m(f). Determine h(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 263945?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 3, x: 4, w: 3, k: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 822863 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2989 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 25417*o**2 + 8*o - 13. Let f be n(-12). Round f to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -18*y**2 - y. Suppose -20*b = -16*b + 164. Let q = 40 + b. Determine l(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -46*m**2 - 36*m. Let q(h) = 4*h**2 + 3*h. Let n(j) = -12*q(j) - w(j). Let v(t) = 9113*t. Give v(n(r)).\nAnswer: -18226*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y + 0*y + 2*y + (-2 + 3 + 0)*(-y - y - 2*y) to the form m*y + s and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**4\/4 - 5*k**3\/3 + 3*k**2 + 4*k - 47. Determine r(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 3*o**2 - 4*o + 7. What is t(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98 + 98 + 5*c**2 - 2*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(3000) + ((sqrt(3000) - sqrt(3000)*1) + sqrt(3000) + sqrt(3000))*-3)\/((sqrt(48)\/sqrt(4))\/sqrt(2) + (-1*sqrt(864) - sqrt(864))))**2.\nAnswer: 100*sqrt(5)\/23 + 13029\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 2:48 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*d**3 + 0*d**3 - 8*d**3.\nAnswer: 53*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169203, 338404, 507605, 676806, 846007, 1015208?\nAnswer: 1184409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.66 - -0.16. Suppose 5*r + 19 = o, -3*o + 21 = -3*r - 0. Which is the fourth biggest value? (a) -5 (b) 9 (c) k (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-21)*7\/11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -58, -102, -166, -256, -378, -538, -742?\nAnswer: -996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 + 1)*(0 + 0 - 2*r**4) + (-7*r - 16*r + 8*r)*(-r**3 - 4*r**3 + 3*r**3).\nAnswer: 42*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 6:12 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -124*m**4\/7 + 12540*m**3\/7 + 76936*m**2\/7 + 102720*m\/7 = 0.\nAnswer: -120\/31, -2, 0, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**2 - 2*o + 3. Let n be i(-4). Suppose 2*p = -h - n, -2*h + p + 6 = -p. Put 2, 1\/7, h in decreasing order.\nAnswer: 2, 1\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110100010111100110100 + -1111?\nAnswer: -10110100010111101000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 5*y - 23 = 0, 2*c + 7*y + 11 = 37 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 441 by -49.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57331765*v*x**2 + 2*v*x + v - 526125841*x**2 wrt v.\nAnswer: -57331765*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 186. Let t = -141 + 273. Calculate the highest common factor of t and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**2 + 35*t**2 + 11*t**2 - 5*t**2 + 5*t**2 - 3*t**2 + (-t**2 - 4*t**2 + 3*t**2)*(5 - 1 - 2).\nAnswer: 44*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 48640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*h - 1963, 5*h + 3786 + 75 = 2*o. Find the third derivative of -1875*f**6 + 34*f**2 + 11*f**2 + o*f**6 wrt f.\nAnswer: 8160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 11*h**2 + 11*h + 7. What is x(12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 0 + 7 + -2. Suppose 3*j = -x + 1, 4*x = j + x - g. Let y = j - -2. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from {m: 2, i: 1, j: 3, w: 3, g: 4, h: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -44328\/4823 < -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 - -139. What is the highest common factor of t and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2*k + k - k - k + k + (2*k + 4 - 4)*(3 - 4 + 3) + 2*k + 2*k - 2*k)*((k + 2*k - 5*k)*(-2 - 4 + 5) + 1 - 1 + 5*k).\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13881519.\nAnswer: 3, 541, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - l + 1. What is f(-5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30973?\nAnswer: 47, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 11. Let m = 25\/7 + -26\/7. Let k = -1.095 + 0.095. Which is the third smallest value? (a) k (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1033455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 434 and 66619.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -16. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*u = -65, 4*t - 15 = 3*u + 40. Suppose 4*h + 2 - 11 = -3*j, -5*h = -j - t. Suppose -k = -2*k + h. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 7:01 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 5. Let y = 11 - 9. Suppose -2*c + 18 = -4*w, -71 = -y*c - m*c - 3*w. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/2*(-1)\/(-1). Suppose o + z + a = 0, 0 = 5*o - 4*z - 2 - 14. Suppose -4*m - 12 = o, 2*i = 2*m + 2*m + 54. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 10 + 1)*(-t - 3 + 3) + 3*t - 2*t + 0*t as x + o*t and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77 + 529. Let n = q - 586. Solve l = -4*h - 2*l - n, -5*h + 4*l = 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 4. Let i be 32 + -4 - (0 - j). Suppose -3*o + 17 = n + n, -5*o - 2*n + i = 0. Solve -2*y = o + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5810 and 308.\nAnswer: -5502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8*h = 5. Sort 0, 4, -5, h in descending order.\nAnswer: 4, h, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 39 + -40 + 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + g + g)*(202 + 109 + 24 + 29).\nAnswer: -728*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 27*g + 17*g - 31 - 2*g**2 + 39*g - 125*g. Let p be k(-20). Which is the third smallest value? (a) 5 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41557 and 200620?\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3334, -3335, -3336, -3337?\n\"Answer: -t - 3333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 44\/10*(-95)\/(-38). What is the closest to -1 in k, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 75.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2. Suppose 2*f + 16 = -z + 3, 11 = -2*f - 3*z. Let y be 160\/(-6) + 27 - -1. What is the biggest value in -0.5, y, f, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + a**2 + a - 2. Let v(m) = 132*m**3 + 5*m**2 + 3*m - 6. What is 3*g(w) - v(w)?\nAnswer: -135*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 2\/11 (b) 2\/17 (c) 4 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3368.3389 rounded to the nearest one hundred?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/76 - -244*324\/152 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7*c**3 - 14*c**2 + 341*c - 690. Calculate i(2).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (((-4113)\/(-2))\/9)\/((-2)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from {y: 10, u: 4, v: 5}?\nAnswer: 50\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -194 + 189. Which is the smallest value? (a) o (b) 6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192.80981 rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/72)\/((2210\/272)\/(-13)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 + 0.54. Let p = m + 0. Let d = -0.2 + p. What is the second biggest value in d, -0.5, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 357 and 1547?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-184)\/12 + 16 + (-5)\/(-6).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*i - 12 + 12)*(2 + 1 - 1) - 3*i + 4*i - 3*i + 0 - 2*i + 0)*(73 + 27 + 11).\nAnswer: -888*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**5\/4 - 3369*f**4\/4 - 245895*f**3 - 5267625*f**2 - 13612500*f = 0. What is f?\nAnswer: -550, -20, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -4400415421?\nAnswer: 4400415414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 188228477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1078795035?\nAnswer: 3, 5, 4211, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0169507*-2.\nAnswer: 0.0339014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9369?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 11) + (-16 - -31) - -10\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-1*(-2)\/(-2)*(-1828)\/32846418*297?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -292\nAnswer: -292.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*((-18)\/(-4) + -5)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 601 + -414. Let m(c) = -c**3 + 15*c**2 - 16*c + 12. Let s be m(14). Let w be 3\/4 + (-260)\/s. What is the greatest common divisor of w and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence weww when four letters picked without replacement from {w: 11, e: 2}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -852*((-47015)\/(-1425) - 33)\/((-6)\/10) + 10\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 0*i**3 + 1\/20*i**5 + 0 + 1\/6*i**4 - i + 0*i**2. What is the third derivative of a(h) wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 + 85. Suppose -17 = v*t - 31. Solve -2*m + t*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 4*l**2 - 2 - l**4 + 605*l**3 - 291*l**3 - 204*l**3 to the form g*l**4 + t*l**3 + w*l + h*l**2 + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*28978.1.\nAnswer: -1738.686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5882232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32.065 - 32. What is o rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 0*g - 150 = 0. Solve -5*n = -0*j + 4*j - 5, -5*n + j = -g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1123 divide 121732077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(4\/3)\/2. Suppose -3*k + 3*x + s*x + 150 = 0, -3*x - 9 = 0. What is the highest common divisor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -19475704110528?\nAnswer: -19475704110533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12731.7 and 85.\nAnswer: -12646.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2282 + 2282. Suppose 3*b + 2*b - g = 74, -g - 60 = -4*b. Which is bigger: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41148 and 9144?\nAnswer: 82296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -152*q - 11\/6*q**3 + 416\/3 + 63\/2*q**2.\nAnswer: -(q - 8)**2*(11*q - 13)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 - 3*w - 297 + 149.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2*sqrt(2736))**2*-4 + (sqrt(133) - (sqrt(133) + 4*-2*sqrt(133) + sqrt(133)))\/(2*(sqrt(7) + sqrt(28))))*-2.\nAnswer: -3463*sqrt(19)\/3 + 87624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -214.2 + 214. Let m = 4.1 + -1.1. Let g = -0.2 + 0.3. Put g, m, d in decreasing order.\nAnswer: m, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 110 + 35 = 0. Calculate the highest common divisor of 1189 and v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y - 3. Let t(b) = 43. Let s(r) = 26. Let l(f) = 5*s(f) - 3*t(f). Determine c(d) + 2*l(d).\nAnswer: 5*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-84)*(-3)\/6\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 16*v + 6*v + 11 + 5. Let s(t) = -7*t - 5. Let w be 12 + -10 + (-6)\/(-2). Calculate w*c(a) + 16*s(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36\/5 - -848\/115. What is the common denominator of u and -49\/11?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6c86 (base 16) in base 12?\nAnswer: 140b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2411\/624 - 2\/39. Find the common denominator of 18\/100*(-425)\/(-30) and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b7b8 (base 12) to base 16\nAnswer: 9fbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 202 + -194. Is 6 a factor of 2695\/56 - 1\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 321882 and 132726?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 138 - 71. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/19 + 306*o**2\/19 - 12432*o\/19 + 54760\/19.\nAnswer: -2*(o - 74)**2*(o - 5)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204287739?\nAnswer: 3, 68095913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, f: 1, m: 7, t: 2, k: 1, h: 4}. What is prob of picking 1 s and 1 f?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -397690 - -1599889\/4. Let y = -2295 + o. What is the common denominator of y and -123\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/6*(-2 + 4). Let x = 2 - 2. Suppose -f + 4 = -x*f. Sort y, -2, f in descending order.\nAnswer: f, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or 4121307?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1657752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3115453 and 23215.\nAnswer: 15577265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(4\/11)*a)\/((a\/(a\/(a*(a**(-13)\/a)\/a*a)))\/a) assuming a is positive.\nAnswer: a**(180\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/24*(-102)\/(-4). Let o = k + 12. List the prime factors of o.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7 + 2*x + 122*x**2 + x - 7*x + 0*x. Let m be i(-6). Let q = 62035\/14 - m. Find the common denominator of q and -151\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 10 + 2 + -1 - 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -18*i. Let s(q) be the third derivative of -3 + 0*q**3 + 0*q**4 + 1\/60*q**5 - 24*q**2 + 0*q. Give s(z(o)).\nAnswer: 324*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 655*p**6 - 10925*p**2 wrt p?\nAnswer: 78600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*-2)\/sqrt(9) + (sqrt(44)\/(sqrt(4)*-1) - sqrt(11)))**2 - ((6*sqrt(55)*-1)\/((sqrt(50)*-1)\/sqrt(10) - sqrt(5)))**2.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 768 + -717. Solve -8*a = 19 - c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2529*k**5 + k**4 - 16*k**3 + 3*k**2 + 522404*k wrt k?\nAnswer: 151740*k**2 + 24*k - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1300379 is divided by 79?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**2\/2 + 24*h + 54. Let z be q(-23). Which is the closest to 0.2? (a) -0.4 (b) 0 (c) -0.07 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.666 to one decimal place.\nAnswer: -16.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.247199338876 and -624.\nAnswer: -624.247199338876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.8 + 0.8. Sort 5, b, -2\/3, 0.34.\nAnswer: b, -2\/3, 0.34, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/7 (b) 50\/3 (c) -1 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 68, 41, -2, -61, -136?\n\"Answer: -8*c**2 - 3*c + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 118516919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2173, 2187, 2211, 2245, 2289, 2343, 2407?\n\"Answer: 5*q**2 - q + 2169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, 0, -3, 63.\nAnswer: -3, -1, 0, 10, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 798 + 785 - 5*k - 1656. Let s(l) = 8*l. Calculate the lowest common multiple of s(2) and n(-15).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1208 + -1208. Factor 0 + 4\/7*i**4 - 20\/7*i**3 + 16\/7*i**2 + s*i.\nAnswer: 4*i**2*(i - 4)*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**3 - 4*s. Let i be -1 - (6 + 0 + -4). Let j(b) = 5*b + 1. Let x(g) = i*p(g) + 4*j(g). Determine x(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60 + 52 - 37) + 8\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(5\/4)*g**(-16)*g*(g**(-3\/4)*g*g)\/(g*(g*g\/(g*(g**(-3\/5)\/g)\/g))\/g) assuming g is positive.\nAnswer: g**(-88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/29270 and 37\/40978.\nAnswer: 204890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 64 = -5*g. What is the lowest common multiple of 8\/12 - (-14)\/6 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8622581?\nAnswer: 11, 71261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a - 50. Let l be h(-6). Suppose 0 = -3*r - 0 + 6. Let m(t) = -t**3 + 5*t**2 + 3. Let q be m(5). Solve -r*v = q*v - l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3074.74 weeks?\nAnswer: 516556.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 102980114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8961 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1217846 divided by -14\nAnswer: 86989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 + 90 = -22*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 35 = 5*g - 115, 4*g + 3*d = 36. Let j(c) = c**2 - 13*c + 47. Let f be j(g). Let x = 5 + 23. Calculate the greatest common factor of f and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3254756 (base 8) to base 11\nAnswer: -548436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*(1 - 8 - -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + 0.9. Let u be (12\/5 + (-140)\/70)\/(6\/(-10)). What is the nearest to u in 1\/5, -3\/8, f?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 361.6 - 362. Let o = 2.7 - 2.92. Sort o, 0, u.\nAnswer: u, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 2 = l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2268) + 0 - (sqrt(28) - sqrt(308)\/(sqrt(44)\/sqrt(4)))**2.\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, 65, 1867 in descending order.\nAnswer: 1867, 65, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24453\/975 - ((-405)\/(-35) - 30\/(-70))) + -13.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -119? (a) -4 (b) 4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -242*r + 6. Let o be x(-1). Let w(a) = -a - 8. Let s be w(-6). Let j be (s\/4)\/((-4)\/o). What is the highest common divisor of j and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*d + 3)*(158*d - 66*d - 33*d) to v*d**2 + s + r*d and give v.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 55245 divided by -15?\nAnswer: -3683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -13 - (38\/8 - 615\/(-492)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 2:35 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/3484 and 75\/12194.\nAnswer: 24388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 33 = 3*a - 0, -3*a = 9. Let c = -36 - z. Suppose 0 = -c*d + 7*d - 15. Calculate the highest common divisor of 165 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 12:56 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 v, and 2 g when four letters picked without replacement from {l: 1, g: 2, v: 2, w: 9}?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1152) + (sqrt(1152)*2)**2 + -5 + (1 + sqrt(1152))**2*6 + ((0 + sqrt(1152))**2 + sqrt(1152) + -1)*-4.\nAnswer: 216*sqrt(2) + 6917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -42202 (c) 1\/14 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22060368?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*22\/45)\/((-4)\/18).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + w**2 - w. Let c(z) = -5*z**3 - 6*z**2 + 6*z - 9. Suppose 43*o = 42*o - 2*v, -v - 45 = 8*o. Determine o*a(g) - c(g).\nAnswer: -g**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8752 by -4376.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -4303?\nAnswer: 4287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 998\/7 or -3.2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 7. Let d = v - -2. Let q = 8 - d. Sort 1, q, 2 in increasing order.\nAnswer: 1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/79 (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 764 divided by 764\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 626, 2245, 5420, 10661, 18478, 29381, 43880?\nAnswer: 62485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/((-1)\/2*1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5065817 (base 9) to base 6\nAnswer: 133520024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 24 = -2*r, 7*r + u = 10*r - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -42485, -42483, -42473, -42449, -42405?\n\"Answer: y**3 - 2*y**2 + y - 42485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*w + 10, 0*l + 4*w + 120 = 5*l. Let x be ((-3)\/6)\/((-2)\/l). Solve -x*p + 7 = 32 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 112 - 111.941. Let k = m + -1.859. Let c = -1.799829 - k. Round c to 5 decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5131146585?\nAnswer: 3, 5, 342076439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5924077, 5924078, 5924079, 5924080?\nAnswer: 5924081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -409199\/15 - -27280. Let f(o) be the first derivative of 1\/4*o**4 + 0*o + 28 + c*o**5 + 2\/9*o**3 + 0*o**2. Determine l so that f(l) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - (10 - ((-37 - -29) + 18 + 0)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 9*u + 130. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -2. Suppose -8*a + 11*a = -d + 2, d - 2*a - 2 = 0. Suppose f = -d*g, 3*g + 523 = 6*u - 2*u. Does 43 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -56. Suppose 5*l + 3*n = 22, l + n - 24 = -4*l. Solve 3 = -l*v + p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443 + 180 = 89*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -25, 244*h - 756*h - 13 - 59 = -4*c - 257*h - 251*h for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 4, 2.7, 0.2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -85.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -578205, -1156411, -1734617, -2312823?\nAnswer: -2891029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*sqrt(363) + sqrt(363))**2 + -4) + (sqrt(192) - 2*sqrt(192))\/sqrt(4)*-4.\nAnswer: 16*sqrt(3) + 1448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.7 - -1.3. Which is the biggest value? (a) -2 (b) -0.3 (c) x (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2*y + 4*d - 400, -4*d + 528 = -4*y. Let r = 84 + y. Let l = -28 - r. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -20*d - 2. Let b = -10 + 11. Let y be (3 + 0 + -7)*b. Does 26 divide t(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 60*m**2 - 112*m**2 + 2*m + 1 - m**3 + 53*m**2. What is t(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m + 17050*m**3 - 54544*m**3 + 18322*m**3 + 17981*m**3.\nAnswer: -1191*m**3 + 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -6*(-1)\/(-1). Suppose 5*t + 9*s = 13*s + 174, s + 246 = 8*t. Calculate the highest common divisor of c and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -612, -1228, -1860, -2514, -3196?\n\"Answer: -b**3 - 2*b**2 - 603*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + o - 15 + 45 = 0, -2465*w + 7*o + 30 = -2468*w + 8*o for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/43582 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 8. Suppose -20 = s*n + n. Let x(h) = h**2 + 3*h. What is the units digit of x(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33 + 2 - (1 + 0). Let m be ((-15)\/(-9))\/((-3)\/(-9)). Let b be (-2)\/m + k\/10. Solve 2*g - b = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*c**5 - 333*c**4 + 43*c**2 + 20*c + 31 wrt c?\nAnswer: -240*c**2 - 7992*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 18*n + 55. Let m be b(-14). Put 16, -4, m, 0.3 in descending order.\nAnswer: 16, 0.3, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9687 is divided by 4516?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -366a6a + 5?\nAnswer: -366a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2450754 by -408459.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*k + 1343*k**3 - 98*k**2 - 242*k.\nAnswer: 1343*k**3 - 98*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100516 - -142785. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18, -0.7, -2?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 63 + 20*i + 19*i - 32*i. Let g = 5 + -2. Calculate the remainder when o(-8) is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2\/2 + 12579*a\/2 + 6290 = 0. Calculate a.\nAnswer: -1, 12580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12055*-2.597.\nAnswer: -31306.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 166*c**2 + c**3 - 52*c**2 - 2*c**4 - 58*c**2 - 24*c - 56*c**2 as q + f*c**3 + o*c + w*c**4 + t*c**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92.4 + -94. Which is smaller: i or -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*x = -59*x + 80. Suppose 0 = 21*y - x*y - 442. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 367193, 734466, 1101739?\n\"Answer: 367273*y - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 62 = 5*t - 3*b, 4*b - 4 = 0. Solve 0 = 3*q + 23 - t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 24*a**3 + 3*a**2 - 47*a + 3. Let q(f) = 72*f**3 + 8*f**2 - 141*f + 8. Let i(d) = -3*q(d) + 8*w(d). What is the second derivative of i(l) wrt l?\nAnswer: -144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4\/3 - 23*u**3 - 449*u**2\/3 - 313*u - 186 = 0. What is u?\nAnswer: -62, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25739619*p + 23441820 wrt p.\nAnswer: 25739619","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.2 - -20.2. Let m = -2816 + 2816.37. Which is the third biggest value? (a) 0.4 (b) m (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(((-756)\/154)\/18)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1499 * 0.3.\nAnswer: -449.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 + 0.0942894515.\nAnswer: -0.0657105485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19\/94 - 1\/470. Which is the smallest value? (a) -0.3 (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 113955 and 18297.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 12:33 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*u + 0*u + 0*u - 2)*(4*u + 0*u - 3*u) + (20*u + 9*u + 4*u)*(2*u + 1 - 1) as c*u**2 + a + h*u and give c.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1242\/(-575)*(-65)\/117.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -4, -5, -18594, 1 in descending order.\nAnswer: 3, 2, 1, -4, -5, -18594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 147\/30*10\/(-24) and -2\/27?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 8, 0 = 5*c - h + 6*h - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 5*a - 2*a + (-a + 27*a + 33*a)*(-1 - 7 - 7) + 2*a - 5*a + 4*a + (-1 + 3 - 3)*(-4*a + 3*a - a) as v*a + q and give v.\nAnswer: -880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -654 divided by -2030.\nAnswer: 327\/1015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 8, m: 1, p: 4, o: 4, w: 2}. What is prob of sequence ww?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/6, 4, -5, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t + 8*t + 6*t + 16*t - 81*t + 37*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 6*v**2 + 2*v + 4. Suppose -3*l - 12 = -5*l - 2*b, 1 = l - 4*b. Suppose -l*t = -17 - 13. What is i(t)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8233244?\nAnswer: 2, 2058311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 8*c**2 - 16*c - 1. Let o be p(4). Let a = o - 67. Let q be 24 - (-3 + 0)\/((-6)\/a). Solve 0 + q = 3*i - 5*g, -14 = -3*i + 2*g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -6*j. Suppose j = 2*u + 3*u. Is (1 + u)\/((-5)\/(-85)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 963 and 37878?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/4))**(3\/11)*n**8*n**(-5)*(n**0)**(-50)\/(n*n\/n**(-8)*n*n**(-3\/4)) assuming n is positive.\nAnswer: n**(-76\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 54\/(-27)*(-3)\/(-2). Let b(c) be the first derivative of -c**4\/4 - 2*c**3\/3 - c**2\/2 - c + 1. Calculate b(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1158672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from {k: 2, o: 10}.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 - (7 + -6 - 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -333 - -337. Solve -h*s + 6*s - 4 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3041 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 12, o: 5, g: 2}. What is prob of sequence rr?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1570\/(-6))\/(24\/13183776). Let g = -84439780 - i. What is g rounded to the nearest one million?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000907 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkkkkkkkkuekke. What is prob of picking 1 j, 1 u, and 1 k?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2267 + -11332\/5. Which is the nearest to -0.5? (a) d (b) -1.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5248525*p**3 + 2*p + 1620326?\nAnswer: 31491150*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 11:01 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from {o: 2, b: 2, z: 1, w: 1, r: 2, f: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 472577, 945149, 1417727, 1890317, 2362925, 2835557?\n\"Answer: y**3 - 3*y**2 + 472574*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2\/5, 1\/3, 12\/5, 2 in ascending order.\nAnswer: -2\/5, 1\/3, 2, 12\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 84 = -3*a + 4*c, -2*c - 60 = -2*a. Let b = 36 + a. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-3))\/i*i*i*i\/i**(1\/13)*(i**(1\/4))**(-19)*i**(-6)*i*i*i**(-6)*i*i**1*i\/(i\/i**(3\/5)) assuming i is positive.\nAnswer: i**(-3179\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**2 + 0*a**2 - 6*a**2 + (-13*a + 13*a + 68*a**2)*(1 - 6 + 2)*(-1 - 5 + 4) to the form i*a**2 + p + d*a and give i.\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15428 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91 - 54. Suppose -5 = -y, h + 2*y - s = -2*y. Let c be (-36)\/63*49\/(-7). Solve -2*z + 2*g + 0 + 4 = 0, g = c*z - h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**4\/8 - b**3\/2 + 3*b**2\/4 - b\/2 - 6. Suppose d(n) = 0. Calculate n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -5, -0.3, -0.02, -0.09?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 8*q**2 - 10*q - 10. Let d = 4 - 6. Let g = d + 3. Let i(n) = -n**3 + n**2 - n + 1. Let k(j) = g*a(j) + 2*i(j). Let k(s) = 0. Calculate s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18595.515 months?\nAnswer: 154.962625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 3 - 3)*(-2*x + 2*x + x**2) - 12*x**4 + x**4 + 32*x**4 + (-2*x**2 - x**2 + x**2)*(2*x**2 - 4*x**2 + 0*x**2) + x**4 + 4 - 4.\nAnswer: 27*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6*j**2 - 1545*j + 18376. Determine q(245).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 866 - 863. Suppose -a - 19 = -11*g + 14*g, x*g - 1 = a. Sort -1, a, -15 in ascending order.\nAnswer: -15, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 13*n**2 - n - 9. Suppose 5*g - 3*p + 65 = -p, -3*g - 5*p = 39. Let v be l(g). Differentiate -v + 7*i**4 + 4*i**4 - 7*i**4 wrt i.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 17*b - 54. Calculate the remainder when 1101 is divided by z(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 + -78. Let v = a - -31.74. Let b = v + -0.04. What is the nearest to 0.3 in -3, b, -1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 7:43 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times -186546.5?\nAnswer: -2984744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -35, -1, 1, -3\/2 in ascending order.\nAnswer: -35, -3\/2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 6:27 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 8:11 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 941*u**2 + 1738*u**2 + 3190*u**2 as p*u**2 + z*u + d and give p.\nAnswer: 3987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d. Suppose -7*i - 58 = -219. Let l(w) = 172 - 172 - i*w. Determine l(t(u)).\nAnswer: -69*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(-48*c + 9*c - 69*c**2 + 72*c**2).\nAnswer: 6*c**2 - 78*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65488\/59 - 1110. Let a = -645\/118 + c. What is the common denominator of 76\/3 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 482990?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + -1*(sqrt(1216) + 1).\nAnswer: -8*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (1560\/(-13))\/((-3)\/2) + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7133*o**2 - 16*o + 22. Let a(k) = 2378*k**2 - 6*k + 8. Determine -11*a(y) + 4*n(y).\nAnswer: 2374*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 33*l + 430. Let f be p(-12). What is the highest common factor of 238 and f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-450))\/(11\/((-1089)\/11)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 20 = 4*n, -45 = -5*o + 3*n + 21. Suppose -41*b = -37*b - o. Suppose -l = -0*l - b, -28 = -2*z + 2*l. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -39\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-222)\/(-76) + -3). Calculate the remainder when z\/2 + (3 - 1) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 84*n + 53. Let q(w) = -7*w + 7. Let d(k) = 4*q(k) + 2*s(k). Calculate d(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-6) + 26\/12. Suppose 13 = g - b*c, 5*g + 0*g - 4*c = 32. Sort -1\/2, 0.5, 0.02, g.\nAnswer: -1\/2, 0.02, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**2\/2 - 31*n + 961\/2 = 0.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 11*c**2 - 4*c - 4. Let p(g) = -56*g**2 + 21*g + 21. Suppose -63 = -3*f - 0*f. Let s(o) = f*l(o) + 4*p(o). Let k(v) = -4*v**2. What is s(k(j))?\nAnswer: 112*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 126, -481, -2, 2, -3 in decreasing order.\nAnswer: 126, 6, 2, -2, -3, -481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 13. Suppose v - 6*o - 16 = -o, -4*v + 16 = -h*o. Let b = 3 - v. Calculate the remainder when 6 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*b + 28 - 40 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 10:36 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-650)\/65*102\/(-680))\/((6\/296)\/(-1)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*u**2 + 4*u**2 - 3*u**2 to t*u**2 + o + b*u and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 598 times -0.04\nAnswer: -23.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/2*(-10)\/(-8). Let w = q + -2. Let k = 8 - w. Which is the third smallest value? (a) 0 (b) k (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjx when three letters picked without replacement from {b: 4, x: 4, j: 9}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64*b**3*z - 24*b**3 + 790*b**2 - b*z + 355798*z + 129 with respect to z.\nAnswer: -64*b**3 - b + 355798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -13180305*g. Let t(i) = -2*i. Determine t(b(u)).\nAnswer: 26360610*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q - 1. Let m be y(2). Suppose 0 = 6*l - l - 70. Suppose -2*r + l = -0*r + 2*n, -m*r + 6 = -2*n. Solve 4 = -r*s - 4*w, -s + 2*w + 11 = -0*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-623)\/46102)\/((-12)\/666))\/((-2313)\/(-24))?\nAnswer: 2\/257","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -0.2 (c) 184 (d) 210 (e) 65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8292361 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - u - 122 = 199, -2*r - 3*u = 207. Put -2, r, 6, -3 in decreasing order.\nAnswer: 6, -2, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 + y**2 + y + 1. Let z be p(-1). Is z greater than -1\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/4)\/((-54)\/12).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 13*h**2 - 30*h - 5. What is the units digit of j(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -3. Let a(i) = -1. Let b(f) = 2*f**3 + 2*f - 2 + 1 + 2 + 1. Calculate d*b(y) + 2*a(y).\nAnswer: 2*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, 0.1, -2, 1\/7, -91?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*m**(-4\/17)\/m))\/(m\/(m\/((m*m**(-10)*m)\/m)))*(m**(-17))**(-21\/5))**(-17) assuming m is positive.\nAnswer: m**(-6854\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 51870 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 1222495 = 2*v, -3*a + 8*a - 15 = 0. Suppose v + 998760 = -5*u. Round u to the nearest ten thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/404 - -1219\/2828. What is the smallest value in j, -0.4, -0.1, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 383*l - 9. What is the units digit of b(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 4:35 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-6))\/((-1)\/(-3)). Let u(l) = -l - 2. Let z be u(f). Suppose -3*d = -5*d. Solve 4*q = -16, 5*n - 2*n - z*q - 6 = d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.048 times 10?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*h + 14*h + 12. Let s(f) = -f**3 - 2*f**2 - 2*f - 2. Suppose 0 = -283*x + 285*x - 2. Let q(w) = w**3 - w**2 + w + 1. What is h*q(u) + x*s(u)?\nAnswer: u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 19) + 18 - 285\/25.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*u - 1134, 4*j = -3*u + 5*u + 1512. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1852 is divided by (-255)\/306 + (-659)\/(-6)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/360)\/((-50)\/(-300))*(-15)\/(-18)*-2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*i + 2*i - 5*s, -4*s = 0. Let x(o) be the second derivative of 0 + 0*o**2 - 1\/6*o**i + 2*o. Let u(f) = 5*f. Calculate x(u(n)).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 2 + 2)*(0*l + 0*l + l + (-4 + 2 + 1)*(2*l - 4 + 4)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**17\/t*t)\/t)\/(t**(-16)*t)*(t*(t**37*t)\/t)**(2\/5) assuming t is positive.\nAnswer: t**(231\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 359940943?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -3388945162830.\nAnswer: -3388945162826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 82*c + 1956 + 6404 = 14*c for c.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -48, -68, -88?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1681, 3364, 5047, 6730, 8413?\n\"Answer: 1683*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, -3, -1 in ascending order.\nAnswer: -3, -1, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 17*k - 3. Let b(c) = 51*c - 8. Let z(r) = 3*b(r) - 8*o(r). Let d(g) = 2*g**2. What is z(d(n))?\nAnswer: 34*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 127\/25 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 25, 5*l - 11 = 3*f + 34. Let u be ((-2)\/l)\/(1\/3). Sort u, -2, 3 in decreasing order.\nAnswer: 3, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-eight thirds of a century?\nAnswer: 27200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 21*i - 8 = 0. Suppose y - i = -0*y. Suppose 3*x - 35 = -14. Solve -y*h = -x*h - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*j + 85466. Let t be (-14)\/(-49) + j\/14. Suppose -4*z - t = -4*s, 0 = 4*s - s + z - 2281. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5760872 and 2704.\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1472000 rounded to the nearest 10000?\nAnswer: 1470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*f - 5, 2*f + 8 = -2*j. Let q = -8 - j. Let u(l) = -1. Let s = 0 - -3. Let n(b) = -b - 4. Determine q*n(g) + s*u(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -254110, -1016381, -2286818, -4065421, -6352190, -9147125, -12450226?\nAnswer: -16261493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 34?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12133 + -12123. Let o(g) be the first derivative of 8*g**2 - 6*g + 1. Let h be o(6). What is the greatest common factor of w and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + (-4 + sqrt(847)*-3)**2 - sqrt(847).\nAnswer: 264*sqrt(7) + 7639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35204702*j**4 - 28933*j - 2682.\nAnswer: 422456424*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -14*u**3. Let o(h) = -7*h**3. Let k be (51 + 1)*(0 - 1\/(-4)). Give k*o(a) - 6*x(a).\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11259004?\nAnswer: 2, 2814751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 7*t**2 - 6*t + 11. Suppose 2*n - 6 = y, -3*y + 17 = 2*n - n. What are the prime factors of z(n)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + u - 2*u**2 - 3 + 3. Let a be l(2). Suppose -10 - 4 = -a*z. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5370 and 6230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5254, -2, 1001, 3 in descending order.\nAnswer: 5254, 1001, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -117152427\nAnswer: -58576213.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.1 - -7.61. Let x = r - 1.509595. Round x to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011001 - 10?\nAnswer: 11010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 235 = -3*d + 5*j, -j = -3*d + 141. Suppose 8*s + 34 = 10*s. Calculate the remainder when d is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555659?\nAnswer: 13, 42743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*c - 18*c - 52*c + 66*c in the form x*c + l and give x.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.034320569 to 3 decimal places.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/13)*y*y*y**(-22))\/(y*y**(1\/20)*y**(2\/21)) assuming y is positive.\nAnswer: y**(-114613\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/5)*w**(1\/3))**(-18) assuming w is positive.\nAnswer: w**(-102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 12:49 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - u + 0*u + 2*u + 2*u - 3*u + (-3 - 1 + 3)*(0*u + u - 2*u) + 5*u - 4*u + 2*u)*(-17 + 38 + 11) to o*u + r and give o.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvf. Give prob of sequence vf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45572*f**3 + f**2 - 113 wrt f?\nAnswer: 273432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 4*w + 9672*m - 9675*m, 8 = 2*w - 4*m for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -61*y - 170. What is m(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.73 + 0.03. What is g rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 3*f - 215 = -5*l, 3*l = f - 75. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -167 + 167. Let x(h) be the second derivative of -1\/50*h**5 + 1\/6*h**4 - 8\/15*h**3 + 10*h + k + 4\/5*h**2. Factor x(s).\nAnswer: -2*(s - 2)**2*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 262\/(-14) + (-2)\/7. Let t = -17 - k. Let h be t\/(-13)*(12 + -13). What is the second biggest value in 2, h, 1\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/3)\/(12\/612). Solve w - 11 = -3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 15 = -q. Let a(w) = w**2 + 41*w - 126. Let j be a(3). Let v = q - j. Put -5, 2, v in descending order.\nAnswer: 2, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23806?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-154)\/44*4\/(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*y. Let l = -3 + y. Sort 4, l, -4.\nAnswer: -4, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 5:46 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*l**3 - 2*l*s - 228*s wrt l.\nAnswer: -12*l**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 6 = -3*a, 4*a - 2*a - 4 = 4*r. Solve r = -3*m - 24 + 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -96809678 and -67108.1.\nAnswer: -96876786.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 - 33*a**3 - 995*a + 4*a**2 + 1002*a.\nAnswer: -33*a**3 + 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 172928?\nAnswer: 518784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - u**2 + 2*u - 2. Let g be x(2). Let k(m) = 3 - g*m - 4 + 6*m - 4*m. Let j(z) be the first derivative of 2*z**3\/3 - 55. Give j(k(i)).\nAnswer: 32*i**2 + 16*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/2))\/z**(-4)*z**(-2\/11)\/(z*z*z\/z**(3\/4))*z**(-1\/4)\/(z*z\/(z\/(z*z**(-5\/2)\/z)*z*z*z)*z)*(z**(1\/4))**15 assuming z is positive.\nAnswer: z**(443\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001 + -0.4?\nAnswer: -0.4001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3 = -13 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 11:40 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*s**3 + 3550*s**2 - 5645*s + 2060.\nAnswer: 5*(s - 1)*(s + 103)*(7*s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -6*t + 60. Suppose -t = -4*o, -4*d - 2*o + 567 = -951. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s**2 + 2*s + 2. Let h(c) = 4*c**2 - 2*c - 3. Determine 3*h(g) + 2*q(g).\nAnswer: 2*g**2 - 2*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24110, 48322, 72534, 96746, 120958, 145170?\n\"Answer: 24212*f - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20825037 or -20825035?\nAnswer: -20825035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(-4 + 65\/15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 337, 671, 1003, 1333?\nAnswer: 1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6934, 6933, 6932, 6931, 6930?\nAnswer: 6929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 86988467 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10774722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4593, 9232, 13867, 18498, 23125, 27748?\n\"Answer: -2*z**2 + 4645*z - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 1 - 399\/7. Let c = i - -61. Suppose -2*q = 6 - c. Is q < -7\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5 - 20 = 0. Suppose -90 = -m*b + b. Suppose 5*w - 37 = -2*g + 48, -g - 2*w + b = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)*u\/((u*u**1\/u)\/u))**6\/((u**(2\/3))**(-31)*u**(-1\/9)\/((u*u**(2\/15)*u)\/u*u)) assuming u is positive.\nAnswer: u**(1031\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3) + (-4)\/12. Suppose c = 3*w - 52, -c + k = 1. Suppose -2*u + 6*u = 272. What is the greatest common divisor of u and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 8 = -5*r, -33 = -3*p - 0*r + 4*r. Suppose p*a - 2*a = 10. Put a, 8, 5 in decreasing order.\nAnswer: 8, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 4 = 167*q - 173*q, -c - 6 = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -13*z - 5 - 14 - 6. Let i be j(-4). Suppose i = h + 8. What are the prime factors of h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 77*n + 2439. What is x(24)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15120 and 315?\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11502450 (base 7) to base 4.\nAnswer: 3322201200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k + 29. Calculate t(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a factor of 333111661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 9*d**2. Let z(l) = -1168*l**2. Determine z(s(y)).\nAnswer: -94608*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v + 72. Let b be r(-34). Solve -5*u - 1 + 0 = b*s, -3*s - u - 9 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 4 - (6 - (46 + -24)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98 + -70. Let g = 32 - m. Find the second derivative of -20*b + g*b**5 - 21*b + 45*b wrt b.\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 17 = 3*d, -4*d - 5 = 2*h + 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74699.\nAnswer: 74699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11988, 23977, 35966?\n\"Answer: 11989*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -26.65?\nAnswer: -26.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**6\/540 - q**4\/108 - 10*q**2. Factor u(t).\nAnswer: 2*t*(t - 1)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2 + 8*c**2 - 22*c**3 - 8*c**2 to s*c**2 + u + p*c + b*c**3 and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 124907598*v + 35354760 wrt v.\nAnswer: 124907598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/50 + 49\/5. Let i(t) = -2*t**2 + 19*t - 29. Let j be i(q). Is j < -106\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -184516760 by 4.\nAnswer: -46129190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a day in seconds?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-559)\/(-429)*(-15)\/(-10) and 2\/((-36)\/57)*6\/(-44).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*b - 26*b - 121366 = 79514. Is b a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344462.1ug in kilograms?\nAnswer: 0.0003444621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-6)\/(-9)*163722\/52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -1553\nAnswer: 6212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + o - 1. Let g(h) = 5*h**2 - 6*h + 2. Let l(v) = -g(v) + 4*j(v). Does 15 divide l(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 670928778?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -328*1202.\nAnswer: -394256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/32)\/(239325\/919008)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2.5, -0.197, -9, -18\/5?\nAnswer: -0.197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**5 + 109*k**4 - 1947*k**3 + 13291*k**2 - 19652*k - 6. Let z(a) = -a**5 - a**4 + 3*a**3 + a**2 + 2. Let g(l) = r(l) + 3*z(l). Factor g(o).\nAnswer: -2*o*(o - 17)**3*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11566?\nAnswer: 2, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -111033 (base 11) to base 9\nAnswer: -288782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5 - 11. Put n, -9, -3 in ascending order.\nAnswer: -9, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 102*n. Let b(w) = -4*w**2 - 14. Determine b(s(l)).\nAnswer: -41616*l**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9505835, 19011673, 28517497, 38023301, 47529079, 57034825, 66540533?\n\"Answer: -r**3 - r**2 + 9505848*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54.882 - 0.282. Let m = z - 55. Which is the nearest to 3? (a) m (b) -0.1 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -3 (c) 1.1 (d) -2 (e) 28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -93?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 95. Let t(p) = -3167*p. Calculate u(t(m)).\nAnswer: 20059778*m**2 + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**2 - 37770972*f - 37770968 = 0.\nAnswer: -9442742, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -16, 10060 = 2*v - 12*a + 6*a. Does 38 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 918*b**2 + 1069*b**2 - 2150*b**2.\nAnswer: -163*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.027 (b) -2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000340701648 to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -20 (b) 3 (c) -2 (d) -148 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65837\/131682 - -2\/65841. Let t(g) = g**3 - 4*g**2 + g. Let r be t(4). Let a**4 + a**3 - r*a**2 - j*a**5 - 1 + 7\/2*a = 0. Calculate a.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25568518?\nAnswer: 2, 12784259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1386*b**2 + 11081*b - 11. Calculate f(-8).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 12*t - 9*t - 4*t - 9. Let p be r(-13). Suppose 2*k - 714 = -p*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201073 is divided by 49181.\nAnswer: 4349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.35*-4.\nAnswer: -29.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6986, -28111, -63328, -112625, -175990, -253411, -344876, -450373?\n\"Answer: 2*g**3 - 7058*g**2 + 35*g + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 33 = -5*h, -5*h - 36 + 13 = 4*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + 33. Let x be -2 - (1 - (t - 3)). Suppose z = -2*s + 32, 0 = -5*s - 4*z - x + 113. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499373 is divided by 3374.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 441 and 396333.\nAnswer: 2774331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -10*j**2 - 1\/12*j**4 + 13\/3*j**3 - 31*j + 0. Calculate the remainder when 27 is divided by p(25).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426675368.\nAnswer: 2, 7, 557, 13679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 7*z + 2. Let l be i(5). Let b = l + 29. Is (b\/(-9))\/(2\/(-6)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 31*x**3 + 11*x**2 - 11*x - 9. Let o(g) = -6*g**3 - 2*g**2 + 2*g + 2. Let d(i) = 11*o(i) + 2*t(i). Find the first derivative of d(b) wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26810199 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -164493953*n**3 - 102353537 wrt n.\nAnswer: -493481859*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-5 + 9 + -4 - -8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*209155.\nAnswer: 627465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 99, 97, 95, 93, 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 124.6629mg in grams?\nAnswer: 0.1246629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 70.2.\nAnswer: -70.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 5*o + 36 = 0. What is the hundreds digit of 2525\/(-10)*1\/(15\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/3))**(-1\/5)\/(q*q*q**32*q**(-3)\/q) assuming q is positive.\nAnswer: q**(-454\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24913781?\nAnswer: 4019, 6199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m + m)*(3 + 0 - 1)*(-12 + m + 12) + (-2 - 2*m + 2)*(2*m - 4*m - m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10624896223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 903 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1186820 and 200?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/5 + (-1916)\/(-10). Let q = -178 + k. Let p(x) = -7*x**2 - 5. Let h(b) = -15*b**2 - 11. Give q*p(o) - 6*h(o).\nAnswer: -o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 4*i - 3*k, 52 = -4*i - 1406*k + 1402*k for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -343.963 - -9.223. Round r to zero dps.\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = o - 83, 2*g = -o + 134 - 36. What are the prime factors of o?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - -29 - ((0 - -2) + -4 + -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67777 is divided by 469.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -84 and 3208295.\nAnswer: -269496780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -12*q**3 - q**2 - 2*q - 1. Suppose 4*z - 8 + 12 = 0. Determine r(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.131377ml to litres.\nAnswer: 0.001131377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + sqrt(304)*-2 + sqrt(19) - sqrt(76)*-3)**2 - ((-3*(sqrt(19) - 2*sqrt(19)))**2 + (sqrt(95) + sqrt(95)*1 + sqrt(95))\/sqrt(5)))*-3.\nAnswer: 9*sqrt(19) + 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 201*s - 416. What is y(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2426328883?\nAnswer: 11, 220575353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-504)\/(-24))\/(411\/137)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 8*q)*(0 - 9 - 4) + (-2 + 2 - 2)*(-q + 0*q - 4*q) - q + 0 + 0 to r*q + j and give r.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1340\/1206 - (-4)\/18)*(-1 + 77\/74).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44.51 - -39. Round y to one dp.\nAnswer: -5.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w - 48. Let p = w - -36. Solve k + 4*k = p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**3 + 15308*z**2 + 29307160*z + 58553104 = 0.\nAnswer: -3826, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2497 and 908?\nAnswer: 9988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -289807327 by -1101929.\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 653750228 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5 + 9. Suppose 5*o = -3*r + w, -r - r = -2*o - 20. Suppose r = 9*h - 82. What is the remainder when 37 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 166*m**5*y**3 + 2*m**4*y**3 - 2*m*y**3 - 24*m*y**2 - 2*y**3 wrt m.\nAnswer: 3320*m**3*y**3 + 24*m**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (-3 + (sqrt(192) - sqrt(192)*-2))**2)*-2 + 0.\nAnswer: -304*sqrt(3) + 3474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millennium in years?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r**2. Let h(d) = -25*d**2 - 36*d**2 + 53*d**2. Calculate x(h(f)).\nAnswer: 448*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 minutes after 11:58 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-20))\/(-15 + (-1008)\/(-64))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -902 = -11*l + 2200. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 22*w + 27. Let h be s(23). Let m = -83 - -86. Let 2\/11*d**5 + 0*d**m + 0*d**2 + 0*d + 0 - 2\/11*d**h = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-22 - (1336392\/2254)\/(-27).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 8. Let h be (d\/5)\/((-26)\/10). Let w be ((-2)\/(-6))\/(10\/(-3)). Which is the smallest value? (a) w (b) -2\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222, 713, 1538, 2697, 4190, 6017, 8178?\nAnswer: 10673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 12*p**3 + 12*p**2 - 12*p. Let m = 0 + -13. Let c = 9 - m. Let o(s) = s**3 + s**2 - s. Calculate c*o(q) - 2*k(q).\nAnswer: -2*q**3 - 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 66804.57 litres?\nAnswer: 66804570","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -695 = -5*y - 485. Suppose -5*h + 0*h + 65 = 3*u, 0 = -2*u - 3*h + y. What is the biggest value in -3, -0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14, 121, 306, 575, 934, 1389, 1946?\n\"Answer: h**3 + 33*h**2 + h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 4*t. Let d(h) = -281 - 282 - 287 + 3*h + 850. Determine 4*d(l) - 3*o(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**7\/2520 + g**6\/60 + 3*g**5\/10 + 3*g**4 + 5*g**3\/2 + 4*g. Let k(i) be the second derivative of a(i). Factor k(w).\nAnswer: (w + 6)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lttkkmkmknmmsn. What is prob of sequence sltt?\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = u + 7, 0 = k + k + 3*u + 1. Let p be (-5)\/10 + -1 + 66\/4. Suppose -5*n = -2*z + 35, -n = 5*z - 32 - p. Solve f + z = -k*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 2*b + 5, 0 = -4*b - 2*x - 0*x + 30. Suppose b = 3*r - r. Suppose -4*m - 8 = -r*d, -2*m = -3*d + m + 6. Solve -4*f + d + 12 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-10367811.\nAnswer: -41471244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (20\/8 - 0)\/1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4\/(-18) - 18\/(-81).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1420*s + 70777 - 13977 = 0 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1)*42\/(-84)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21919, -42773, -63627, -84481, -105335?\nAnswer: -126189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -12 + 5 - 2*c + 3*c - 7. Let j(z) = -3*z**3 - 250*z**2 + 165*z - 246. Let v be j(-84). Calculate k(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 640744?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82*n*o + 3*n*v + 1627*n + 4*o*v wrt o.\nAnswer: 82*n + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -16*b + 20*b. Suppose 0*p + 5*p - 40 = -b*n, p + 3*n = 16. Put p, 0, 1 in decreasing order.\nAnswer: p, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3666 take away -2?\nAnswer: -3664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 14 + 20. Suppose 3*d = 2*u - 30, 0*d = 4*d - o*u + 41. Let w = d - -14. Solve w*p + 2 = 7*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 + -46.8. Let k = z + -0.2. What is the third biggest value in k, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from {x: 1, a: 1, y: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 426314*v - 142097*v - 142102*v - 142115*v - 21*v**2.\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(35)\/sqrt(5)) + -2*sqrt(13)*3)**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*i = -3*k + 1064, i = -4*k - 510. Let h = -383 - i. Which is greater: h or 2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2716 is divided by 457?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n - 10. Let a(x) = -x**2 + 5*x + 3. Let g be a(n). Let v(p) = g*p**2 - p - 1 + p**3 - p - 1. Determine v(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s**2. Let u(p) be the first derivative of 5*p**4\/12 - 13*p - 48. Let f(o) be the first derivative of u(o). What is v(f(x))?\nAnswer: 125*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 160, -41, 2, 0, 16 in ascending order.\nAnswer: -41, 0, 2, 16, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -124.189 to one dp.\nAnswer: -124.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/3 and -69\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdc. What is prob of sequence cd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 12 + 15 + 9*r**2 - 26*r**2 - 19. Let x(n) = -11*n**2 + 5. Let y be -9 + (1 - 2) + 2. What is y*x(m) + 5*v(m)?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2525472 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-5\/3))*t**1)**(4\/15) assuming t is positive.\nAnswer: t**(-8\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1141\/10 + -227\/2. Which is the smallest value? (a) 3 (b) 0.03 (c) z (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-117)\/(-26)) + 2\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -53 (b) 19\/15 (c) -4 (d) 4\/11 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -11766*r - 23495. Give g(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 19, 4, -4\/163, 0.17?\nAnswer: -4\/163","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -36608860703 + 0.5\nAnswer: -36608860702.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -3303302?\nAnswer: 3303312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -29.6. Let l = -149 - -154. What is the smallest value in 4, u, l, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 8*s - 140. Let a be c(9). Suppose -2*r - 15*i + a = -20*i, 2*r = -i + 43. Calculate the remainder when 699 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.1 - 14.9. Let d = 4.5 + u. Round d to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 627 from 1745355132584.\nAnswer: 1745355131957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**(1\/29)*v*v\/(v**(-4\/3)\/v)*v*((v*(v\/v**(-11\/4))\/v)\/v)\/v*v*v**6*v assuming v is positive.\nAnswer: v**(5957\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11\/32 - 13\/224. Let i = -2.8 + 0.8. What is the closest to b in 3, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3619)\/3641 + 6\/15. Let s = x + -2\/331. Which is the second biggest value? (a) -5 (b) s (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.1, 0.13, -0.06?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-16))\/((-1)\/(-12)). Let z = 2 - b. Suppose 3*h + z = 26. What is the greatest common factor of h and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139615378?\nAnswer: 2, 7, 9972527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (2 + (-5 - -2)). Suppose -4*x - z + 40241 = p, x - 1789 = -z + 8269. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*l - 14, -4*k - 25 = 2*l - l. Which is smaller: -426\/59 or k?\nAnswer: -426\/59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 866712 times -0.1?\nAnswer: -86671.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -101120 to the nearest 1000.\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - (-16)\/(-3))\/((-2)\/(-15)). Suppose 4*l = -3*g - 14, 0 = 2*l - 0*l + i*g + 14. Let j(r) = 22*r + 8. Let h be j(-1). Sort 5, l, h in ascending order.\nAnswer: h, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1764695 by 352939.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + 0. Suppose 7*h - 6 = 22. Solve 20 = -4*n - 4*s, -5*s = -h*n - 3*s + l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/18*(1296\/(-18))\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = j, 0*j - 2*j = -5*c - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - k**2 + 3*k - 39. Calculate m(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 65093475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 4:21 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -39\/1189001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 4*t**2 - 2*t + 17. Let a be m(-5). What is the third derivative of -r**4 + 3*r**6 - 1885*r + 1885*r + a*r**2 + 1 wrt r?\nAnswer: 360*r**3 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -5*d - 9*n - 26, -4*d - 22 = 2*n. What is the remainder when 396*((-85)\/(-45) - d\/(-18)) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.16 and 93?\nAnswer: -14.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u + 15*u + i + 8818 = 0, -4*u + 2*i + 11758 = 0. Solve 2947 - u = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 49906 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/720433 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/(-1) - 140390\/4865.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**4 - 37*l**3 + 209*l**2 + 37*l - 210 = 0.\nAnswer: -1, 1, 7, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8627*x**3 + 4757*x**3 - 36083*x**3 - 1757*x**3.\nAnswer: -41710*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15\/40 + 603\/15*(-1585)\/(-8).\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96478429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-15))\/2 - (-37204)\/(-20). Calculate the remainder when 9\/(4\/(-10)*225\/d) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) 11 (c) 5429 (d) -3 (e) -2\/17 (f) 1.2 (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -0.44763?\nAnswer: -0.74763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -i + u - 3*u, -4 = 4*u. Which is greater: -40 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*v + 2 = -v, 2*u + 4*v - 10 = 0. Which is the second smallest value? (a) -36 (b) u (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1 = 1. Let w(z) = -41*z**2 + 6*z + 17. Let c(p) = -20*p**2 + 3*p + 8. Let y(s) = -13*c(s) + 6*w(s). List the prime factors of y(b).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-4)\/6 - -424. Suppose 60*a - 49274 = -642*a + 8*a. What is the greatest common divisor of a and i?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/922 and -7\/55705396.\nAnswer: 55705396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17, -11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/(-1))\/((-51)\/(-510)*-20).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -2*i - 2, 3*i - x = -i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171717 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -779 divided by 41.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/4*28\/(-147). Let k = 3\/10 + -1\/20. What is the biggest value in -0.3, v, k, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -504781 by -23.\nAnswer: 21947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 7. Let f(u) = 0 - 21705*u + 21743*u - 2. Is f(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.0573, 0.267, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 32*t**2 + 62*t + 52. Calculate j(-30).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-3 - (-1 - 2)) + 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 190314518351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -66070 + -1732?\nAnswer: -70022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2820 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*u**2 + 0 + 2\/3*u**3 + 0*u = 0. Calculate u.\nAnswer: 0, 33\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188586721?\nAnswer: 71, 97, 139, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*j - 4*h - 10, -3*h = -3*j + 12. Let n = 2 + 1. Solve -n = j*l + 9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64288 = 117*d + 67447 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**4 + 380151*d**3 - 8619*d + 7.\nAnswer: 24*d**2 + 2280906*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3450 and 238293225.\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4904 and 672461?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*n + 24*n = -4*u + 34, 2*n - 6*u + 46 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + c + 1. Let r(l) = -l + 1. Let g be r(0). Suppose 8*d - 10 - 4 = 2. Let i(w) = 3*w**3 - 2*w - 3. Calculate d*a(s) + g*i(s).\nAnswer: 5*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1067916, -2135834, -3203752, -4271670, -5339588?\n\"Answer: -1067918*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 0.062?\nAnswer: -8.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -376.4677955 to two decimal places.\nAnswer: -376.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.34, -2\/29, -0.2, -0.3?\nAnswer: 1.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.006 in 2\/5, 1\/31, 0.041, 2?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k - 50*k = 245 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -x - 0*x. Suppose 0*d - 125 = -5*v - 5*d, -x = -2*v + 4*d. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32547 - 97636 + 32543 - 138*m**2 + 32546 + 560*m**2.\nAnswer: 422*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -6*q - 92. Let r be n(-16). Solve -7 = r*i - 5*a + 4, i - 16 = -5*a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*j - 624, 3 = -5*j + 28. Suppose -3*n = n - k. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53547\/26*4\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 8*t - 21. Let a(l) = 12*l - 20. What is -3*a(p) + 4*v(p)?\nAnswer: -4*p - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k + k + 7. Which is the smallest value? (a) 5\/2 (b) 2\/9 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3367 and 4329.\nAnswer: 30303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-17))\/(y**(-11\/2)\/y))**(2\/7))**32 assuming y is positive.\nAnswer: y**(-608\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + (sqrt(245) + -2)**2 - sqrt(245)) + -2 + (sqrt(245) - (6*(sqrt(245) - (-1 + sqrt(245))))**2))*3.\nAnswer: -63*sqrt(5) + 633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n - 796 = -644 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70 by 24.\nAnswer: 35\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 2. Let x(a) = -1. Let i(v) = 2*v - 26. Let f(d) = i(d) + 3*x(d). What is the remainder when 2 is divided by f(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(98) + sqrt(98) + 2*sqrt(98) - sqrt(98)) + sqrt(98) - sqrt(98).\nAnswer: -1 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5272*t. Let u(v) = 1671*v - 1. Give u(y(w)).\nAnswer: 8809512*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/117*-1*231\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*o + 119*o + 381*o + (-4*o + 3*o + 5*o)*(-1 - 2 + 5)*(0 + 2 + 3) as a*o + m and give a.\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9849720 + 2?\nAnswer: -984971a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -117 and -118 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110110 + 1000010?\nAnswer: 1011111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 51, 76, 91, 90, 67, 16, -69, -194?\n\"Answer: -m**3 + m**2 + 29*m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 256 + -77. Suppose 4*b + 66 = v, 3*v - l + 45 = -4*b. Calculate the greatest common factor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93*-1529.\nAnswer: -142197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65662905 and 29190?\nAnswer: 131325810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1837912548.2435 take away -0.1?\nAnswer: -1837912548.1435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*u - 40517 = -1219*u for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.78749 to two decimal places.\nAnswer: -4.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94803 (base 10) to base 8.\nAnswer: -271123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 3*f - 72, -5*j + f - 43 = 93. Let o = j - -40. Solve -r = 3*r - o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 582784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -32*o + 4. Let l(x) = -32*x + 5. Let a be ((-60)\/(-8))\/(-5)*(-8)\/20*10. Calculate a*t(j) - 5*l(j).\nAnswer: -32*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*c + 36. Let m(n) = -14 + c - 5*n. Let y(u) = -2*u**2. Give y(m(w)).\nAnswer: -50*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2292.80360236 + -2292.859. Let n = z - -0.0554. Round n to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.3 in 2, 0.3, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**4*u + 42302*o**4 - 2621*o**2*u + 631*o**2 wrt o?\nAnswer: -72*o*u + 1015248*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 1:40 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1539 + 1536. Sort 7\/5, v, 0.05 in ascending order.\nAnswer: v, 0.05, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 + 25*o + 19. Let t be r(13). Suppose t*v + 12 = 36. Calculate the remainder when 69\/(v + (-10)\/4) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*u = 126, 12*p = 9*p + 4*u + 114. Calculate the highest common factor of 22815 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1530 - 339. Let t = v - 43. What are the prime factors of t?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6404 = -308*h + 102*h + 842 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**2*q**2 + 269831*c**2 - 93831847*c*q + 300*c wrt q?\nAnswer: -4*c**2*q - 93831847*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 203956\/7 at most 29137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/8 - 3921\/(-408). Let x = 11\/408 - b. Calculate the common denominator of x and -9\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -t - 233, 2*t - 15 + 17 = 0. Let i be 6\/4 - 12\/(-8). Suppose 0 = -i*d + 4*d - 87. Calculate the highest common divisor of d and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - -30)\/(-2 + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*s + 5*a + 34 = -28*s, 2*a = 5*s + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 27*q**2 - 73*q + 444. Calculate m(29).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 8. Suppose -w*b + 38271 = 771. Let y = b + -225139\/18. Find the common denominator of y and -47\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-3*4\/6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -4*-3*sqrt(117))**2 - (1 + 2 + -2*sqrt(117))) + 5.\nAnswer: 222*sqrt(13) + 16859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 1352 - 918. What is the units digit of b\/6 + 1\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5 = -3*c. Suppose h = c*h. Is h < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 71*s**2 - 230*s - 25367. Calculate n(-69).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 979, 978, 975, 970, 963?\nAnswer: 954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43161\/10 - -10704103\/2480. Find the common denominator of 101\/24 and b.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907771 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b84 (base 13) to base 9\nAnswer: 2625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(-2\/89)*d)\/(d**(-4)*d))**1)**(-2\/13))**(4\/17) assuming d is positive.\nAnswer: d**(-3576\/19669)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11 + (0 + 1 - 3). Let q = 20 - f. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -19 (b) -6 (c) 67096 (d) 4 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -41*y**2 - 7*y + 5*y**2 + y + 21*y**2 = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14606\/2 - (24\/40 + (-66)\/10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g. Let a(p) be the third derivative of 13*p**5\/60 - 3*p**2. Let w(k) = 84*k**2. Let z(s) = -32*a(s) + 5*w(s). Give z(f(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-375)*3\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(24\/2)*3*49\/(-21)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 234, 236, 240, 246?\n\"Answer: u**2 - u + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 4*y + 162 = -2*m + 5*m - 7*y, -13*m + 2*y - 657 = 0 for m.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*y = 453, -4*k + 3*y - 5*y = -458. Let z be 558\/(-91) - 18\/k. Is z != -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 602516\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 402 a factor of 2676296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -3*x + 15, 5*x + 4*c = -0*c + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26239036 is divided by 5693.\nAnswer: 5692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*d**4 + 155*d**3 - 55*d**2 - 2975*d - 980.\nAnswer: 5*(d - 4)*(d + 7)**2*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-5)*(-2220)\/(-1184)*8\/222\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**28\/p**(-19))\/(p**(-2)\/(p\/p**(-2\/71)*p)) assuming p is positive.\nAnswer: p**(3623\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 u when three letters picked without replacement from {t: 2, p: 2, l: 3, s: 5, u: 2, j: 2}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -506747 or 0?\nAnswer: -506747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117279 or 117262?\nAnswer: 117262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-4))\/((-3)\/6))\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1059837292?\nAnswer: 2, 83, 157, 20333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 31*p - 2. Let m be y(-1). Let d(z) = z**2 + 12*z - 39. List the prime factors of d(m).\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 144535\/18 + -8022. Calculate the common denominator of 31\/33 and x.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0.1, -8, -3163, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 15 + 177 = 0. Is p a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -308*d**3 - 55128*d**2 - 2392444*d + 31080 = 0.\nAnswer: -105, -74, 1\/77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(68)*-2.\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*v. Let f = 0.65 + -1.15. Which is the third biggest value? (a) v (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 432056 and 424?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 27161, 108681, 244555, 434789, 679389, 978361, 1331711?\n\"Answer: d**3 + 27171*d**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 less than or equal to -4\/205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 3*o - 11 = -5*j, -2*j + o = -11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 3. Let u be (-56)\/(-20) - t\/5. Solve u = 3*j + 3*f, j + 0*j + 5 = -3*f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10 - (-2 - 1 - -3). Let d(c) = c + 13. Determine d(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -93.9 - -96. What is the third smallest value in -0.1, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25870560 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p**2 + 26\/5*p**3 + 0 - 144\/5*p + 16\/5*p**4 + 2\/5*p**5 = 0 for p.\nAnswer: -4, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.02 (b) -83 (c) -0.1504\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h**3 + 46*h**3 - h - 37*h**3 + h.\nAnswer: -13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -89 - -86 - 5\/((-35)\/18). Which is the closest to v? (a) 0.04 (b) -3 (c) 3\/23 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 828774, 3314988, 7458678, 13259844, 20718486?\n\"Answer: 828738*i**2 + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (154 - 186) + (-4 + 4 - -4 - -4)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 426412, 852709, 1278896, 1704973, 2130940, 2556797?\n\"Answer: -55*q**2 + 426462*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0062717224 to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 102411265 + -1?\nAnswer: 102411264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000243857 to seven dps.\nAnswer: 0.0002439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13756 and 1127268?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -6. Suppose -3*d + 193 = -l. Suppose -5*p = 2*t - d, 0*p + t + 58 = 4*p. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*u, -2*u = -2*y + 3*y + 252. Round y to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + z**2 + 91. Let r be v(0). Suppose -3*t - 73 = -4*k, 11*t - r = -3*k + 6*t. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -19*r**3 + 6*r**2 + 6*r - 4. Let l be h(-3). Suppose 3*y - 2*c = -2*y + 921, 3*y = 5*c + l. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by (-8)\/8*1*-63?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 536 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdm when three letters picked without replacement from {k: 1, g: 1, m: 2, u: 4, d: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29929?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/660 and -1\/12958935.\nAnswer: 51835740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 14, 4, -42, 12 in descending order.\nAnswer: 14, 12, 4, -9, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnob when four letters picked without replacement from {b: 6, t: 1, a: 2, o: 2, r: 5, n: 1}.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*z**2 + 10 - z**5 - z**2 - 10 wrt z.\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 7*r + 5. What is d(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 84*o. Calculate r(13).\nAnswer: -754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*(z*z**(1\/2))\/z*z*(z*z\/(z\/z**4)*z)\/z*(z**0)**(1\/11) assuming z is positive.\nAnswer: z**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 + 3360*r - 4*r**2 + 10.\nAnswer: -4*r**2 + 3360*r + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 896005423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10032 + 1?\nAnswer: 10033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 185 and 1490175?\nAnswer: 1490175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - 1\/1*-3. Suppose -3*k = 4*z, x = -k - 2*z - 2*z - 8. Find the first derivative of 4*g**2 - 4*g**2 - 2 + 4*g**4 + 0*g**k wrt g.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - p - 6. Let i be u(-2). Suppose -g - 2*w + 33 + 44 = 0, -3*w = -i*g + 297. What is the highest common factor of g and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -27. Let n = 13 + -10. Suppose 3*u - 49 = -5*b, 3*u + 7 = -n*b + 64. What is the remainder when u is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -490, -158, -5 in decreasing order.\nAnswer: -5, -158, -490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 4*t**2 - 3*t - 2. Let a be g(5). Let f = a - 5. Suppose -f*b + 2*u = -8, -2*u = 2*u - 20. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -21*x - 21*x + 2 - 4 - 20*x + 61*x. Give i(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26238*s**2*w + 101844*s*w wrt s?\nAnswer: 52476*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*4\/10*(-91)\/((-273)\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 4, -0.3, 170, -4, 2\/3 in ascending order.\nAnswer: -4, -0.3, 2\/13, 2\/3, 4, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**2\/2 + 18*u - 2. Let p(b) = -b - 12. Let k(h) = 8*p(h) + 5*v(h). List the prime factors of k(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 1. Suppose 0 = -13*m - 15 - 11. Let a(n) = -n + 7. Determine m*y(h) + a(h).\nAnswer: -h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - 1*-2)\/2. Suppose 2*g - 12 = j, m*g - 20 + 0 = j. Let c = 1 - g. Let t(f) = 16*f + 6. Let w(v) = -5*v - 2. Calculate c*t(r) - 10*w(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l\/(l**(1\/8)\/l)))\/l)\/(l*l\/l**(-2))*((l**9*l)\/l)\/(l\/(l\/(l**15\/l))))**8 assuming l is positive.\nAnswer: l**(-95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5, 3, 9, 7, -9?\n\"Answer: -g**3 + 5*g**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -100995200 rounded to the nearest 100000?\nAnswer: -101000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l - 2*l + 4*l)*(2*l + 2*l - 3*l)*(-691*l**2 + 340*l**2 + 172 + 349*l**2) as j*l**3 + m*l + q*l**4 + w + d*l**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 3*t + 0*t)*(-3*t + 5*t - 5*t)*(2 - 1 + 1)*(1 + 4 - 4)*(-52 + 11 - 17).\nAnswer: -696*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.311763375 rounded to 4 decimal places?\nAnswer: -0.3118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16749829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + m - 1 = 0, 5*m + 3 = k + 8. Solve k = -r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 50\/100 + 303\/2. What is the highest common divisor of t and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1014 divided by 18411\nAnswer: -338\/6137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 134 - 26. Suppose -2*s - 2*s + u = 0. Let l(a) = a**3 + 72*a**2 + 71*a + 106. Calculate the remainder when l(-71) is divided by s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*s - 55*s = -215556. Calculate the greatest common divisor of s and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 + 93 - 199 - 28*s.\nAnswer: -28*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 11:20 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3\/7 + 54*g**2 - 2*g\/7 - 54 = 0. Calculate g.\nAnswer: -189, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 58, 122, 186, 250, 314?\n\"Answer: 64*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -5. What is the nearest to 0.1 in g, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9490 and 10602.\nAnswer: 50306490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -73*l**2 + 5*l + 5. Let o(m) = -366*m**2 + 24*m + 24. Let z(k) = -3*o(k) + 14*y(k). What is the remainder when z(-1) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35469 - -35988. Calculate the lowest common multiple of a and 1038.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 3547521?\nAnswer: -3547521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 827005?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f - 1377 + 513 = -664 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**2 + 5*w**2 - 3*w**2 + (-22*w - 6*w + 10*w)*(5*w - 2 + 2)*(4 - 12 - 1) + 2*w + 2*w**2 - 2*w.\nAnswer: 811*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1423 + 20?\nAnswer: -1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14, 23, 32, 41?\n\"Answer: 9*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 - 8376 + 2*u + 4187 + 4192 - 5*u**2 + (3 - 3 + 2*u)*(-6*u**2 + 3*u**2 + 5*u**2) - 1 + u**3 + 1.\nAnswer: 3*u**3 - 5*u**2 + 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2041998*k**3*n**2*w + 1095776*k**3*n**2 wrt w.\nAnswer: 2041998*k**3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 3*w + 4*w)*(-22*w**2 + 6*w**2 + 12*w**2)*(-3*w + 4*w + 0*w).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -144034 + 231117. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**3\/7 + 9714*k**2\/7 + 1116384*k - 11303040 = 0. Calculate k.\nAnswer: -1624, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 3*t + 1. Let k(z) = 311*z**2 + 6*z - 2. Determine -k(f) - 2*w(f).\nAnswer: -313*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 318b79 - -2?\nAnswer: 318b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9335.066 hours to nanoseconds.\nAnswer: 33606237600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42682 + 42680.56485. What is h rounded to two decimal places?\nAnswer: -1.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -3, -113, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 73816 and 332172.\nAnswer: 664344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 124.6337217 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 934 + -936. What is the second smallest value in 1, 30, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000 + -1001101100?\nAnswer: -1010010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -x - 0*x. Let h = 71 + x. Suppose -c - c - 2*k + 40 = 0, -2*c + 5*k + 12 = 0. What is the remainder when h is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-4) + (-2)\/4 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*j - 1 - 3*j + 3*j)*(-4 - 136*j**3 + 170*j + 35*j**3 + 99*j**3 - 2*j**2) to t*j**4 + f*j**2 + s*j + g + q*j**3 and give s.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v + 16*v**3 + 13*v.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2869396 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/5043 + 55325\/373182. Is -1 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417*a**2 + 188*a**2 - 114*a**2.\nAnswer: 491*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -255*b**2 - 919*b - 40. Let h(j) = 128*j**2 + 459*j + 16. Let y(i) = -5*h(i) - 2*r(i). Find the second derivative of y(u) wrt u.\nAnswer: -260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -52*y. Let n(z) = 25063*z**2. Determine n(s(c)).\nAnswer: 67770352*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 8940 = 3*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 3:25 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/15 (b) 0 (c) -0.3 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, q: 2, y: 3, b: 3, g: 1, n: 3}. What is prob of sequence bg?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/17 (b) -4 (c) 3\/7 (d) -3 (e) -1\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -1102102211?\nAnswer: 1102102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 5 = -2*t + 2*v, 0 = 4*t + v - 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -10, -6181845?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2806 divided by 1.\nAnswer: 2806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*3)\/((-81)\/54)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 35 (b) -6 (c) -107\/24 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-268)\/(-56) - 3 - 12\/42.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 12.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 15. Which is bigger: -0.3 or t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 797 = 77*j + 104 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 63287596*n*w + 65637642*w wrt n?\nAnswer: 63287596*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.9 + -16. Let d = 1 - 1.8. Let s = d + 0.3. Which is the nearest to 1? (a) -1 (b) k (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1997.17249005 - 30755.38750375. Let s = h - -32752.97. Let d = s - 0.41. What is d rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 14516 and 14516 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -44*z + 155. Let l(a) = 19*a - 78. Give -14*l(f) - 6*q(f).\nAnswer: -2*f + 162","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-56)\/(-21))*574\/(-2*14\/(-2))?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3 + 6. Let d be (1 + 0)*(b + 4). Suppose 3*k - 38 + 23 = 0. Sort -4, k, d.\nAnswer: d, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605\/28 at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -370, -720, -1070, -1420, -1770?\nAnswer: -2120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z**3 + 158*z**2 - 184*z + 40 = 0.\nAnswer: 2\/7, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 63304, 62570, 61838, 61108, 60380, 59654, 58930?\n\"Answer: d**2 - 737*d + 64040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**5\/20 - w**4\/2 - w**3\/2 - 7*w**2\/2 - 3*w. Calculate f(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -215 + 215.476. Let s = r - -0.034. Let w = s + -0.453. Round w to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -10998*2*1\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2413584 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -405 + -26?\nAnswer: -42b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235, -906, -2017, -3568, -5559, -7990, -10861?\nAnswer: -14172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3564*u - 280500 = -2064*u + 4110*u for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 44 - 64 = 0. Suppose 0 = -z*w + 23 - 23. Let n = 84 + -503\/6. Which is the nearest to -1\/2? (a) w (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -333 + 795. What is the highest common factor of 22 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - f - 8. Let b(i) = -i**3 - 6*i**2 - 5*i + 4. Let x be b(f). Let y = -6 - x. What is the third biggest value in 0, y, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, f: 4, n: 1, l: 6}. Give prob of picking 1 o and 1 n.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 4)*(3 - 4 - 3)*(59 - 59 + 4*q + 2*q**5).\nAnswer: 24*q**5 + 48*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-3))\/(26\/(-39)). Suppose 20 = -10*z + f*z, -h = 4*z + 28. Is 8 a factor of h\/(-5)*(-175)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103029341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02948820253 to 3 dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-27)*g))**35\/(g*g\/g**(-2\/83)*g\/(g**(1\/10)\/g)) assuming g is positive.\nAnswer: g**(781093\/830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 179457 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20105589?\nAnswer: 3, 7, 957409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*j**2 - 41*j + 6*j**2 - 3*j wrt j?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4224 = -18*b. Let l = 567 + b. Suppose m - l = -2*m + j, 0 = 5*m + j - 497. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1013 (b) 1 (c) 1\/2 (d) -42.6 (e) 1.7 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 3*x + 18, 4*d - 3*x + 19 = -2*x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 c, and 2 s when four letters picked without replacement from {n: 4, c: 2, d: 4, l: 1, b: 1, s: 2}?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 - 3 + 3 + 0*k + 0*k - k**2 + (1 - 1 - k)*(2*k - 5*k + k) + k**2 + 3*k**2 - 2*k**2 + (4*k - 1 + 1)*(0*k + 3*k - 2*k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, i: 1, c: 1, l: 1, p: 1}. What is prob of sequence fp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 13*d + 9. Let n be b(11). Suppose -2*k + n + 11 = 0. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23488 - 23492. Put -1, 2\/7, 568, x in decreasing order.\nAnswer: 568, 2\/7, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/199248 and 151\/2112.\nAnswer: 8766912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/5 + 5212*b\/5 + 440832\/5 = 0. Calculate b.\nAnswer: -82, 2688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 23422619+2400\nAnswer: 23425019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -591, -1837, -4215, -8103, -13879, -21921?\nAnswer: -32607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6889, -13149, -19391, -25609, -31797, -37949, -44059?\nAnswer: -50121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -356*t**3 - 10*t**2 - 33*t - 91. Is i(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48537 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by 11.\nAnswer: 63\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2212124?\nAnswer: 2, 211, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -20. Let a be 4\/((-9)\/594 - 1\/l). Let m be (-62)\/a - (-20)\/110. Solve -m*o - 30 = 2*o + 5*g, -5*g - 10 = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/13)\/t**(-4\/9) assuming t is positive.\nAnswer: t**(43\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 5*p + 7. Let b be j(5). Let h(r) = 2*r + 3. Let a(q) = -2*q - 3. Calculate b*h(n) + 6*a(n).\nAnswer: 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/36 + 100\/120. Solve 0 = 11*w - 8*w + 3, 0 = -i - w - n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404*l + 220233684 + 536100038 - 43998094 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(19))*-3 - sqrt(38)\/(sqrt(8)\/sqrt(4)))*-6.\nAnswer: 18 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41375098 + -41375097.72999939. Let i = q - 0.27. What is i rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 405 divide 125267643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*j + 29. Let y be (-12)\/78 + ((-813987)\/39)\/j. Let l = y - 4742. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 4*z**2 + 2*z - 1. Let q be v(-2). Suppose -7*t - 8 = -11*t. Solve -y = -q*y - 5*n - 15, -5*y + 6 = -t*n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -2. Let n(o) = 156*o - 1. Let k(y) = 245*y - 2. Let t(s) = 7*k(s) - 11*n(s). Let x(p) = p + 2. What is j*t(w) - 7*x(w)?\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2 - (-2 - 1)) + -1)\/2. Solve f = 7*g - 3*g - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(3\/(-2 + -1)). What is the second derivative of 10*r - 5*r**y + r**5 + 6*r**5 wrt r?\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -5751823\nAnswer: -27\/5751823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 178*s**7 + 6*s**3 - 4*s**2 + 1706. What is the third derivative of z(d) wrt d?\nAnswer: 149520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 293 + 72 = 0. Is x a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*c - 62 = 0, -4*t + c - 87 = -2*c. Let n = t + 19. Is n*7\/((-4)\/(-4)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 161. Let l(o) = o + 9. Let i be l(-7). Suppose -2*d + 4*p + 2 = 3*p, 5*d + p + i = 0. Is f(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/38906569 or 1?\nAnswer: 3\/38906569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(204) + sqrt(204)*1) + 1*sqrt(204)*6)*6)\/(((sqrt(144)*-2 + sqrt(144))*-1)\/sqrt(12)*4).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3 = -1. List the prime factors of x\/8*58 + -1.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12226318 is divided by 1113?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19, -80, -159, -268, -419, -624, -895?\n\"Answer: -2*o**3 + 3*o**2 - 56*o + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9945746*s**2 + 8935512?\nAnswer: -19891492*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 10*h**2 - 19*h + 26. Let i(j) = j**3 - 10*j**2 - 16*j + 21. Let w(a) = 6*i(a) - 5*l(a). Calculate w(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 22*i**3 - 10*i**2 - 9*i**3 - 17*i**3 - 4 + i + i. List the prime factors of o(-5).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 144*x**3 + 18*x**2 - 40*x - 40. What are the prime factors of d(4)?\nAnswer: 2, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 20*j**2 + 31*j - 10. Let c(b) = 12*b**2 + 203*b + 1. Let i be c(-17). Calculate u(i).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 782103.\nAnswer: 3, 7, 37243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 + 38*v + 5. Let j be z(19). Suppose 1468 = j*a - 807. Is 65 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -39712?\nAnswer: 39715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/40481 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 365489936 and 151232.\nAnswer: 1461959744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 7:16 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16\/7, -2\/13, 12696 in ascending order.\nAnswer: -2\/13, 16\/7, 12696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*q + 10 + 16 - 26 as z + a*q and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(2\/1) + 702\/(-936).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*q**3\/5 + 9*q**2\/5 + 17*q\/5 = 0. Calculate q.\nAnswer: -1, 0, 17\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -7*i - 1. Is h(-5) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2067*k**3 + 5405*k + 2 wrt k.\nAnswer: -12402*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -241.4 + 366.5. Let k = q + -125.969. Let d = 0.029 + k. Round d to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122000 - 1002?\nAnswer: -200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**4 - 7*r**4 - 21*r**4 + (-r**2 - 2*r**2 + r**2)*(-4*r + 4*r - 2*r**2) + 2*r**4 + 0*r**4 + 0*r**4.\nAnswer: -20*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1784 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21969 is divided by 955?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*t + 785 - 95 = 64*t - 71*t for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -1 + 38\/30. Let d = k + 2\/15. Let b = -1.0178 - -0.0178. What is the closest to d in -1\/4, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -16, -2*o - 9 = v - 0*o. Let m(l) = -l**2 - 7*l + 8. Let z be m(-6). Let w = v + z. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4092137.\nAnswer: 7, 23, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 1. Suppose 4*n - u = -5*o, -n - 4*n - 13 = -4*o. Let j be n*4\/(-10)*5. Solve 3*p = h + 4, p + j*h = h + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66 + 197 - 90)*(2*q + 0 + 0).\nAnswer: 82*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94 - 90. Calculate the least common multiple of (-1)\/2 + (-22)\/(-4) and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from {o: 1, j: 1, q: 3, l: 4, r: 4, w: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from {t: 1, y: 2, n: 2, s: 1, q: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*i + 25 = 0, 37 = -5*m - 3*i - 18. Let a be (2*4\/m)\/(-1). Is a at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1395 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*o + 2, -10*s + 46 = -6*s + 3*o for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 35*n - 20. Determine q(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 587598*s**3 + 474253*s**2 wrt s.\nAnswer: 3525588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - p - 64 = 0, p = -4*a + 5*p + 48. Let q = a + -5. What is the least common multiple of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 118*b**3 + 6*b**2*r + r + 228 with respect to b.\nAnswer: 354*b**2 + 12*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 13, c: 3}. What is prob of picking 3 y?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 6 + 13 + 7 - u**3 - u**2. Let v be k(0). Let c be 4\/12 - v\/6. Sort 2, c, 4 in decreasing order.\nAnswer: 4, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6535 - -6537. Let g(x) be the second derivative of -1\/2*x**w + 0*x**3 - 1\/6*x**4 + 15*x + 0. Determine g(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -120, -227, -336, -447, -560, -675, -792?\n\"Answer: -z**2 - 104*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15313786*q + 6973902.\nAnswer: -15313786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18936839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21092.97 nanograms in grams?\nAnswer: 0.00002109297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/28, -0.4 in increasing order.\nAnswer: -0.4, -1\/28, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (48\/(-3) - 1). Let n = t - -16. Let i be ((-3)\/(-18))\/(n\/(-2)). Which is the closest to -1? (a) i (b) 3\/5 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 3*a - 2*a)*(5 - 1 - 6 + 1 - 5 + 5 + 4 + 2 - 4 + (-3 - 3 + 5)*(0 - 1 - 1) + 8 - 2 - 2).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 9 = 3*u - 4*k, -k = -5*u + 3. Let z = u + 2. Let b(p) = -1 + 2*p + p + 0. Determine b(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 + 3*k + 3. Let p be z(-2). Let r be 2\/(-5) - (-85)\/25. Solve -r*o + p*o = -8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 92*z - 11. Let t be j(0). Sort t, 62, -4.\nAnswer: t, -4, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2*l**2 - 415610*d**2 - 103607*d*l**2 - l wrt l.\nAnswer: 4*d**2*l - 207214*d*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84630\/93 + (-1)\/((-1)\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -6 - 21*u - 6 + 13 + 26*u. What is s(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 314. Let v be t(0). Suppose 4*k + 1772 = -4*s, 969 = -3*s - k - 364. Let d = v - s. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 4*g + 14, 1 = 3*r - g + 9. Let a be r\/3*(-81)\/18. Solve q = -4*d - 0*d - 15, a*d + 11 = -q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 25156642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/26*(-278057364)\/(-260). Let r = i + 123399. What is the common denominator of r and 109\/80?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g - 6. What is i(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158912 + -0.5.\nAnswer: -158912.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*q - 2638 = 0, 26*c = 29*c - 3*q + 1578. Which is greater: c or -2649\/5?\nAnswer: -2649\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*x + 26 + 34 = 0, 0 = -3*x + 6. Suppose -5*h = 2*h - a. Solve -5 = -h*j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/24 and 11\/195.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*y - 2*c, -5*y - 3*c + 7*c - 42 = 0. Let h(v) = v**2 + 5*v - 6. Calculate h(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*v = 34, 5*g + v = 7*g + 25. Let d(c) = -c**3 - 13*c**2 - 13*c - 10. Let o be d(g). Suppose 513 + 21 = o*n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 40.6731 and 0.0884.\nAnswer: 40.7615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18096 divided by -1392\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 273*q**3 + 35*q + 35. Let s(m) = 16*m**3 + 0 - 18*m + 4*m**3 + 2 + 20*m - 4*m**3. Determine 2*g(l) - 35*s(l).\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + y + 3*t + 15 = 0, 9 = -4*y + t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 13 (b) 2\/9 (c) 0.05 (d) -15 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-12)*(-6)\/40?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0 = -35. Suppose 8*k = 5*k + 3*p + 12, 0 = -3*p + 6. Calculate the lowest common multiple of x and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 9:06 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7402 - 7451) + (-6 - (3 + -1)) + 0.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20.2 + 16.2. Put -0.1, d, 1\/6, -5 in descending order.\nAnswer: 1\/6, -0.1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39684.\nAnswer: 2, 3, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121319.7ml to litres.\nAnswer: 121.3197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 132 - 112. What is the second derivative of -17*f + u*f**4 - f**2 + f**2 + 25*f wrt f?\nAnswer: 240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*h + 201407 = 201957 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*w + 45, -2*u = -9*w + 12*w - 45. Solve 3*c + 12*g = w*g + 9, 2*g + 6 = 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*n + 0*n - 2*n**2 + 4*n**4 + 2*n - 3*n to g*n**3 + h*n**4 + t*n**2 + x + o*n and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-2))\/((-1)\/(-4)). Suppose 0*f + s*l - 29 = -3*f, -27 = -4*f - 3*l. Suppose 0 = j + 5*m + 1, -j + 1 = f*m. Let n(p) = 2*p - 6. Determine n(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 40*c - 2. Let b(r) = -8*r**2 + 9522*r - 48*r**2 - 9522*r. Give b(l(p)).\nAnswer: -89600*p**2 + 8960*p - 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 7 = -4*r. Let c be (-9 - r)*(40\/(-3))\/(-5). Let t be c\/(-2) + 12\/(-3). Solve -2*z = 3*z + 2*d - 15, t = 5*z + 5*d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -73, -190, -357, -574?\nAnswer: -841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(128)*3 + 3)*6)**2.\nAnswer: 8640*sqrt(2) + 42372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1193 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: Convert 889569.1 seconds to microseconds.\nAnswer: 889569100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((11 - 22) + 3 + (6 - -3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2597 - 117. Round h to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-4*(sqrt(2736) + 1 + 5)**2.\nAnswer: 3456*sqrt(19) + 66528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 268*v + 1902. Give s(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 6*d**2 + 2*d + 14. Give n(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10652 + -1?\nAnswer: 10651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1433*f + 9. What is the thousands digit of r(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/2 - (-8 + 3). Let p be t - (-8 - 24\/(-4)). Determine z so that -6\/11*z - 2\/11*z**3 - 2\/11 - 6\/11*z**p = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - n + 7 = 2*g, 4*g + 5*n - 2 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 97 = -4*b, 45 = 2*b - 2*y - y. Let w be ((-4)\/b*4\/(-7))\/(-6). Is 1 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4579, -4, -16, 4.\nAnswer: -16, -4, -2, 4, 4579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 242 - 244. What is the closest to f in 0.2, 1\/8, -15?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and -0.085.\nAnswer: 0.0765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/272 - 281\/2448. Let i be (6\/(-9)*3)\/(-21). What is the closest to i in w, 8, 5\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2)*(25*n + 157 + 190*n + 55 - 208)*(-6 + 6 - 4*n**2) to y*n**2 + c*n**3 + o*n + f and give c.\nAnswer: 860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 8, 2 in decreasing order.\nAnswer: 8, 2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.5, -3\/10, -13668, -0.2?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + k + 28 = 0, r = -2*k + 6*k + 7. Let m(f) = -2*f**3 + 7*f**2 + f + 2. Let g be m(r). Let d = g - -783. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191827750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 372 by -6.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 5. Let a be y(0). Suppose 0 + 20 = a*t. Suppose 0 = 4*g - 0*g - 44. What is the remainder when g is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 29221, 116961, 263195, 467923, 731145, 1052861?\n\"Answer: 29247*u**2 - u - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 5*a**2 + 2*a - 8. Let q(s) = s**3 + 3*s**2 - 3*s - 2. Let k be q(-4). Calculate the remainder when 31 is divided by m(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 7*f**2 + 7*f - 4. Let b be g(6). Suppose h + b = 5. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -0.2 (c) -11.076284 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40789 is divided by 554.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 20*i**2 - 1828*i - 43472.\nAnswer: (i - 44)*(i + 26)*(i + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*r = r - 46, 43 = 4*s + r. Solve 4*q = q + s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35726 is divided by 17614.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112225 - -525?\nAnswer: 113154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x. Let s = 20 - 11. Suppose 5*v - 40 = -3*c - s, 3*v - 15 = 0. Let k(t) = -2*t**2 + t**2 + c*t**2 - 3*t**2. What is g(k(o))?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 155970 + -95431. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 21*f**2 + 7*f**2 - 2 - f**3 - 17.\nAnswer: -f**3 - 14*f**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*a + 3*q - 96, 0 = 2*a + 5*q - 68. Calculate the remainder when 877 is divided by a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + ((sqrt(117) + -2 + sqrt(117) + sqrt(117)*-2 + 1)**2 - ((-1 + sqrt(117) + 2 - sqrt(117))**2 - (-5 + 0 + sqrt(117))))).\nAnswer: -16 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*u + 1 + 37*u**2 - 64*u.\nAnswer: 37*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -31\/16 (b) 29 (c) -4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -2*d - 95 + 103, -b - 5*d + 2 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + c**2 - 2*c**3)*(-11*c - 6*c + 16*c + 4) + c - c**4 - c + (3 - 2 - 3)*(0*c**4 + 2*c**4 - c**4).\nAnswer: -c**4 - 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123835*b - 123775*b + 247607*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -2 - (-13 - -20)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 148*x - 1036. Let t be l(7). Let q(j) = j**3 - j**2 + 6*j - 6. Determine q(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-67 - -145 - 46) + -25.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**3 + 3*y - 3. Let h(s) = -s**3 + s - 1. What is -2*f(n) + 6*h(n)?\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 7*n**2 + 8*n + 12. Suppose 0 = -58*x + 83*x + 150. Calculate f(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4558 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-10)*-8 - 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/10 and 1\/(15\/(-60)) + (-4737)\/(-1174).\nAnswer: 5870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 (base 13) in base 3?\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 10*n**2 - 15*n - 11. Let h = -32 - -15. Let q = -5 - h. Is d(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**4 - 8*u + 6. What is the derivative of a(f) wrt f?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzjzzzttzjzzz. What is prob of picking 2 t?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 11002047*y - 44008236.\nAnswer: 3*(y - 3667353)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -210 and -118.\nAnswer: 24780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13023323 (base 5) in base 7?\nAnswer: -1035266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*z + 361 - 345 = 0, f = z + 1. What is the biggest value in -3, f, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 76. What is the highest common divisor of 387 and b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llfmwfllftlwfdfl. What is prob of sequence wwt?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -64?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 3760432?\nAnswer: 3760432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*w**2 - w**2 - 7*w**2 + 3*w**3 - 2*w**3 - 312*w**2.\nAnswer: w**3 - 374*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*u + 25 = 2, 3*w + 17 = -4*u. Solve 0 = -z + w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 8 (b) -2\/5 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354*z - 350*z - 355*z + 1773*z - 356*z - 351*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**3\/3 - 8435*s**2 - 1458080*s\/3 - 938300 = 0. What is s?\nAnswer: -55, -2, 5118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 491*d + 387*d + 70*d - 79*d + 33891 for d.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*u - 29. Suppose -u*v = -11*v + 12. Solve -v*b + a + 5 = 0, 3*b - 2*a - 3 = a for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46\/555 - 8\/37. Let r = -2 + 2. Let l = 0.2 - r. Put m, l, 3 in increasing order.\nAnswer: m, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 2:01 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2641*z = -2634*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14053?\nAnswer: 13, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*o + 127 - 43, 0 = -5*b + 4*o - 95. Let c = 23 + b. Which is smaller: 1\/13 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 462844573?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20381, 41891, 63403, 84917, 106433?\nAnswer: 127951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -21201201112?\nAnswer: 21201201112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**5\/10 - 7*c**4\/6 - 4*c**3\/3 + 9*c**2\/2 + 5938*c. Determine s(7).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16564*f + 16569*f = -3*w - 22, 2 = -3*f + w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmdazdmmzazzadzbz. What is prob of sequence dz?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*b + b. Let y be 2\/b - (-1)\/10. What is the third smallest value in -1, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 2233?\nAnswer: 11165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**2 + 33216*r + 137912832 = 0. Calculate r.\nAnswer: -8304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -225, -457, -691, -927?\n\"Answer: -y**2 - 229*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 3 + -1 - 5) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 126 and -574.41.\nAnswer: -72375.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20126.103 + -20126. Put v, 33, -2\/9 in decreasing order.\nAnswer: 33, v, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2412 (base 5) to base 4.\nAnswer: -11211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -10*b. What is the units digit of g(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 32*k - 71*k - 85*k - 1 + 1.\nAnswer: -k*(k + 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 18 + 114. What is the units digit of d - -1 - (-1 - (-3 + 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 6 = 2*n - 9, -5*q = n + 12. Sort 75, q, 0.\nAnswer: q, 0, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 21496?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**5\/60 - y**4\/24 + y**3\/3 + 3*y**2\/2 + 2*y. Let t(a) be the first derivative of f(a). Factor t(g).\nAnswer: -(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 18 = 14. Let w(j) = -j**3 + 3*j**2 + 4. Calculate w(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 times -11158403\nAnswer: 167376045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 11:21 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 17*s - 20 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 9 = 2*m, 2*x + 2 + 2 = -2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -116*m**4 + 59*m**2 + 66*m**4 + 2*m**3 + 58*m**4 wrt m.\nAnswer: 192*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-7)*a**(-4)*a)**(15\/7))**11 assuming a is positive.\nAnswer: a**(-1485\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 18. Let w(b) = -7*b. Give w(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1876*n**4*y + 12*n**3*y**2 + 18617*y**2 + y with respect to n.\nAnswer: -7504*n**3*y + 36*n**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/6)\/(2\/(-12)*3). Sort 0, g, -3, -4 in ascending order.\nAnswer: -4, -3, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 + 61. Let t(m) be the second derivative of 1\/2*m**3 - 1\/6*m**4 + s*m + 0*m**2 + 0. Find the second derivative of t(y) wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5819825+-373534\nAnswer: -6193359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2465\/67 at least 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-6) - (-70)\/21. Let s be 2\/x - (6\/(-20))\/(-3). Put s, 0.03, -1\/3 in decreasing order.\nAnswer: s, 0.03, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 597852 and 300?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -618*h + 620*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -619.72159 to the nearest ten.\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10632 + -10631.9999988466. Round s to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11153407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2*2745\/305.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 989*w**2. Let k(j) = 144 + 129*j - 144 - 130*j. Determine k(g(b)).\nAnswer: -989*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, c: 15}. What is prob of sequence cmcm?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -35694, -145367, -328158, -584067, -913094?\n\"Answer: -36559*h**2 + 4*h + 861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 r when two letters picked without replacement from hrhihrrririii.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*z + 44*z**2 - 24*z - 659 - 7*z**2 + 9*z + 7*z with respect to z.\nAnswer: 74*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 2)*(17*t - 7*t - 3*t + (1 + 3 - 2)*(0*t + 2*t - 3*t) + 2*t + 2*t - 6*t + 2*t - 3*t - t) in the form o*t + c and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 376599*r**3 - 1325290*r**2 wrt r?\nAnswer: 2259594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.19 minus -134876.2?\nAnswer: 135002.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 1, 114, 16 in ascending order.\nAnswer: -2, -1, 1, 16, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n - 3*n + 0*n)*(8 - 7 + 2) - 715*n - 544*n - 27*n - 358*n + 196*n to a*n + l and give a.\nAnswer: -1451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 15 = 2*r. Suppose -v = -r - 54. Suppose 0 = 3*w + 4*l - 40, 2*l = -w + 4*w - 70. Calculate the remainder when v is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -75 and 2687.9584561502.\nAnswer: 2612.9584561502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -4397.\nAnswer: -439.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-2)\/8*-8. Which is the nearest to -0.1? (a) 1\/7 (b) -0.01 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26d3 (base 15) in base 5?\nAnswer: 231143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04039 + -518.84039. Round n to the nearest 10.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 45 + 51. Let b(d) = d. Let j be b(2). Solve n + x + 1 = 0, -x = -g*x + j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -699 + 697. Put -3, 6, 9, p in increasing order.\nAnswer: -3, p, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**3 - c**3 - c**3 + c - c - c**3 + (-4*c**2 + 3*c**2 - c**2)*(-c + c - 5*c) + 2*c**3 - c**3 - 6*c**3 to u*c**3 + h*c + w + v*c**2 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 9*j - 39 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.76 - -5.8. Let p = 0.04 - -0.1. Let c = p - z. Round c to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*w**2 - 26 + 288*w**2 + 27.\nAnswer: 38*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m + 22. Let w be a(5). Solve -v - 4*c - 23 = -6, -w*c = 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 + -54. Suppose x + 3 = h. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18841?\nAnswer: 83, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4686)\/(-187) + -25)*3*-1?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14652608 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46*t**3\/7 - 2433808*t**2\/7 - 317454*t\/7.\nAnswer: 2*t*(t - 52909)*(23*t + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57972, -57970, -57968, -57966, -57964?\nAnswer: -57962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9087 + 0.9887. Put y, -2\/11, 1\/10, 2\/9, 1 in decreasing order.\nAnswer: 1, 2\/9, 1\/10, y, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -679549 + 3?\nAnswer: -679546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-12)*(3013368\/515)\/106\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23167.12ml to litres.\nAnswer: 23.16712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39935 and 4900.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89415805 and 1111.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.777 - -0.323. Let m = -94.7 + 99. Let s = w - m. Which is the third biggest value? (a) -6\/5 (b) s (c) -0.4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 2)*(-2*h**2 + 4*h**2 + 0*h**2)*(2*h - 4*h**2 + 5*h**2 - 5*h) - 2*h**4 + 2*h**3 - 2*h**3.\nAnswer: 4*h**4 - 18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, s: 1, l: 12, p: 1}. Give prob of picking 2 l and 1 p.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -568?\nAnswer: 3\/568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35694785207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*a - 1904 = 74*a. List the prime factors of a.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/9)*a)\/(a\/(a\/a**(5\/6))) assuming a is positive.\nAnswer: a**(7\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + p**2 + p + 2. Let o be v(-2). Suppose -3*l + l = -5*r + 14, -16 = -4*r. Suppose -l*x + x = -o. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233090133?\nAnswer: 3, 103, 754337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 26*h**2 - 21*h - 69. Let f be v(25). What is the greatest common divisor of 961 and f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p + 2*x - 1012 = 0, -2*x - 258 = -p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28.15 times 0.078\nAnswer: -2.1957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33\/148 + 1\/37. Let t = 9.3 + -9.4. Which is the third biggest value? (a) n (b) t (c) -3 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/1*8\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3)*(2 - 2 + w) - 6*w + 2*w + 2*w + (5*w - 3*w + 2*w)*(0 + 0 + 2).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 96702 at least 96697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/12)*p*p*p)\/p*p**(-3\/10))\/(p**0)**(-39))**(-1\/7) assuming p is positive.\nAnswer: p**(-97\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -26*j**7\/7 + 5*j**6\/6 - 1183*j**3\/3 + 1026. What is the third derivative of u(c) wrt c?\nAnswer: -3120*c**3 + 300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/1789506 or -1?\nAnswer: -1\/1789506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a - 5*a - 4*a)*(-82*a + 82*a + 13*a**3) as f*a**4 + v*a + p*a**3 + t*a**2 + c and give f.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 3*u - u)*(0 - 2 + 45).\nAnswer: 43*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 - 59*g + 29. Let l be v(29). Solve l*o = 3*h + o - 18, 0 = -5*h + 5*o + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 4) in base 8?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2577*o - 3 + 2 + 1.\nAnswer: 2577*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 23. Suppose -2*a + r = -s, 0 = 3*a + 5*r - 4 - 3. What is the highest common factor of 32 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31470371?\nAnswer: 23, 109, 12553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -22*m**3 + 5*m**2 - 5*m - 5. Let s be (-873)\/144 + 4\/64. Let y(z) = -11*z**3 + 2*z**2 - 2*z - 2. Determine s*g(k) + 15*y(k).\nAnswer: -33*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2192221 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y - 8. Let z(w) = -22*w + 300. Let i be z(-7). Suppose 970 = y*n - i. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 17 - 2*r - 14 + r + 2*r. Let y = 1 - -3. Let m(q) = 2*q + 6. Calculate y*m(t) - 7*l(t).\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 1\/24*o**4 + 0*o**3 + 0 + 0*o + 2*o**2. Let w(s) be the third derivative of s**5\/60 + s**4\/24 - 7*s**2. Give -h(p) + w(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 l when three letters picked without replacement from lslllblstbstt.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-337600)\/(-1200))\/(-422))\/((-8)\/6*2\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -5*x - 401, 824*h - 5*x = 472*h + 757 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 31*p - 7. Let w(b) = -b**3 - 14*b**2 + 2*b + 25. Let g be w(-14). Let i(z) = -15*z + 3. Let x(k) = g*a(k) - 7*i(k). Let s(o) = -3*o**2. Give x(s(m)).\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/20 and -41\/325820?\nAnswer: 325820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1165157739.\nAnswer: 3, 129461971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 + -36. Let c(h) = h**3 - 28*h**2 + 55*h - 28. Let f be c(26). What is the highest common divisor of a and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 9:26 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3125, -3415, -3703, -3989, -4273?\nAnswer: -4555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 10*s + 13. Let g be v(10). Is (11 - (2 - 2))*g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252512089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24.9 and 59305.4?\nAnswer: -1476704.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-2)\/(-18)*9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*o + 118 + 52, -263 = 3*i - 5*o. Which is bigger: i or -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 49392\/(-1080) - 8\/5. Which is the third smallest value? (a) -0.1 (b) y (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36535?\nAnswer: 5, 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 49.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**6\/30 - t**5\/15 + 2*t**4 - 2*t**2 + 50. Factor z(i).\nAnswer: -4*i*(i - 3)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47530939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 99, -280 in descending order.\nAnswer: 99, 22, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f + 96 = 510. Calculate the remainder when 972\/21 - (-4)\/(-14) is divided by 4\/f - (-115)\/(-9)*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 23*p**2 + 52*p + 55. Let u be g(-25). Let y = -99 - -101. Which is the nearest to -1? (a) 1\/2 (b) u (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 334*w**2 + 136*w. Let y(v) = 501*v**2 + 205*v. Let s(f) = -7*t(f) + 5*y(f). What is the second derivative of s(g) wrt g?\nAnswer: 334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 e when four letters picked without replacement from eyyvy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3977767 and 381.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6096000 to the nearest 100000.\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h**4 - h**3 + 0 + 4*h**4 - 2*h - 1 + 3 in the form k*h**2 + n + i*h + t*h**4 + d*h**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384006601?\nAnswer: 11, 233, 149827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 19\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 92\/(-22) + (-12)\/(-66). What is the second smallest value in u, -4\/7, -1\/2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52\/9 at least as big as -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/114*-4)\/((-24)\/180*-10)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -140231*m**3 + m**2 + 227434?\nAnswer: -841386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 16*t**2 - 17*t - 9. Let q be b(-14). Let x = q - -267. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(153) + (sqrt(153) - (sqrt(153) - (sqrt(153) + 2*sqrt(153) - sqrt(153)))))*2)\/((-2*(sqrt(378)\/sqrt(6) - sqrt(63)) + sqrt(63))\/sqrt(7)).\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 10 = -5*f. Suppose f*p = 20 + 86. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from hhhhshshhhs?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 7*h**2 + 41*h + 3455. What is c(-7)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and -0.051.\nAnswer: 7.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*a = 4*h, 4*h = 5*a. Suppose 7*k - 2*k - 15 = a. Put k, 23, -4 in increasing order.\nAnswer: -4, k, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 393\/(-63)) + (-39)\/9 - 18\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 3*j**2 + 42*j. Suppose 4 = 39*w - 37*w. Let t(r) = r**3 - 2*r**2 - 41*r. Calculate w*s(m) + 3*t(m).\nAnswer: m**3 - 39*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5 = -21. Suppose 5*f + 7 = q - 21, 5*f + 172 = p*q. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 - 16. Let v(y) = 1. Determine -5*v(f) - z(f).\nAnswer: 2*f**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1545905 * 5.\nAnswer: -7729525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 11*a - 3*u = -7, -2*u = -2*a - 6. Suppose 0 = -21*w + 22*w + 2*i - 35, 0 = -2*w + 2*i + 100. What is the smallest common multiple of a and w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141732 is divided by 3828?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1409.2 and 11.\nAnswer: -1398.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6519 + 6545. Solve -1 = s*v + 25 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(4) + sqrt(64)) + (sqrt(11) + -4*sqrt(11))**2 + 1 + 3.\nAnswer: sqrt(11)\/5 + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiuiuuiuiu. What is prob of sequence iu?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 2*i**2 + i**4)*(3*i - 2*i + 3*i) + i**5 - 3*i**5 + i**5.\nAnswer: 3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -66, -154, -242?\n\"Answer: -88*z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q - 126. Let k be o(40). Let g be (2 - 2 - -2) + -10. Is g at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + (-1048)\/260)\/(2\/3). Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27 + (-1 + -1)*1. Let b(x) = -x**3 + 6*x**2 + 6*x - 2. Let g be b(6). Let r = m + g. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**10\/(a*a**(-1\/10)))**(1\/14) assuming a is positive.\nAnswer: a**(13\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2*4\/(-24))\/((-2)\/(-5178)). Let p = -532 - x. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/11 - 9098080*v\/11 + 10346882460800\/11.\nAnswer: 2*(v - 2274520)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 3\/2 (c) -4 (d) 0.1 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**7*r**(-1)*((r**(-1\/4)*r)\/r)**45 assuming r is positive.\nAnswer: r**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 32*u + 54 = 0. Suppose y - 19 = u*r, 81*r - 3*y + 29 = 79*r. Let m = 2 + -1. Which is the biggest value? (a) r (b) -0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 53344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 4*v + 3*t, -4*t + 0*t = -4*v + 64. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 410, 40\/7, -80, 0.5?\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21580171 is divided by 1419.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 50*b**2 - 10*b + 17. Let m be g(3). Suppose -727 = -5*u + 2*k, 3*u - 4*k - 2 = m. List the prime factors of u.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30656791 to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jreee. Give prob of picking 1 e and 1 j.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)\/(sqrt(108)\/sqrt(324)) + 1)*2)**2.\nAnswer: 48*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10057189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-1 - -8 - (10 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/5876190 and 53\/21546030.\nAnswer: 64638090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -173*v**3\/3 + 126. Let w(r) = r. Calculate w(n(o)).\nAnswer: -173*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694045.\nAnswer: 5, 11, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**7\/3465 - u**6\/3960 - u**5\/220 + 2*u**4\/3 - 3*u. Let w(l) be the third derivative of k(l). Let w(x) = 0. What is x?\nAnswer: -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15119*j**3*y**3 - 1062*j**3*y - 1196*j**2*y - y**4 wrt y.\nAnswer: -90714*j**3*y - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (5 + -5))\/(1\/3). Let f be (5\/(-10))\/1 + r\/(-12). Which is the third biggest value? (a) 0.4 (b) 2\/11 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18464104*c**5 + 2*c**2 - 7*c + 36529 wrt c.\nAnswer: 1107846240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 85633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20340 = -38*f + 94*f - 621*f for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 5*z - 18, -z = 212149*b - 212148*b - 9 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.30334 times 0.17\nAnswer: 0.0515678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + 6 + -32 + 26 + -11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 8*b**2 - b + 8. Let u be f(8). Suppose u = x - 16 - 5. Calculate the greatest common factor of x and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - -3. Suppose 0 = y - 1, 3*u - 2*y - 10 = -u. Suppose 5*q = -0*q - u*v + 16, -2*q - 5*v = -14. Solve -q*c + i = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - z**2 + 33*z + 71. Determine t(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002285 to five decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7667452 rounded to three dps?\nAnswer: -0.767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*19589496.\nAnswer: -39178992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = 4*v. Let l be 3*-6*(-6)\/27. Sort 1, l, v, 0 in descending order.\nAnswer: l, 1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/3718019 and -52\/66563.\nAnswer: 26026133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**5\/5 + 22*p**3\/3 - 1233*p**2 + 6*p - 49. Differentiate r(w) wrt w.\nAnswer: 12*w**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 take away 1478?\nAnswer: -1470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -922 - -945 - (1 - -7).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/7*14\/(-8)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z + 8. Let v(f) = -2*f - 1. List the prime factors of v(z).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*y - 57630 - 35756 = 0. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -69, 2622, -1, -4 in descending order.\nAnswer: 2622, -1, -4, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z = 825*k - 822*k + 25, -23 = -7*z + 5*k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 4*u**2 + 2*u - 1. Let r be c(-3). Suppose -p + r = -0*p. Let h(o) = 2*o**3 - 2*o**2 + o - 1. Give h(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*b**3 + 50*b**3 - 23*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 4:44 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*s - 43*x, -5*s - 2*x + 3831 = -x + 3851 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 3, 17, -0.15, -0.35?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + -1 + 4 + -1. Suppose 1 = -2*v + w. Suppose -16 = -v*q + 60. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63461659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -4 (c) 1102\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 t, and 1 q when three letters picked without replacement from ntqmc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 132 + -131.903. Let m = t - 1.597. Which is the closest to m? (a) 2 (b) 3 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*p + p + 3*c, -5*c + 72 = 2*p. Does 31 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 26. What is the smallest value in -1\/7, -1\/6, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to 547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 6. Let i be 300\/(-1950) - (7 + -9 - (-54)\/(-13)). Solve i - q = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**4 + 3*u**4 - 2*u**4)*(61*u - 104 + 104).\nAnswer: 122*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5223 and -2269?\nAnswer: -1185.0987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 + -31 + 29?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14 * -0.24\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 561, 1123, 1685, 2247, 2809, 3371?\nAnswer: 3933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 159925.26 months?\nAnswer: 133.27105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 57\/2. Let w = 1 + 0. Let q = -0.3 - -0.2. What is the nearest to q in s, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**3\/9 + 11*j**2\/6 - 10*j\/3 - 27. Let q(t) = 0. What is t?\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 17*l**4 + 15*l**3 - 31*l**2 - 15*l + 6. Let z(b) = b**4 + b**2. Let q(c) = n(c) + 4*z(c). Factor q(p).\nAnswer: 3*(p - 1)*(p + 1)**2*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 4 - (1 + 1))*2411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2220 (base 3) in base 7?\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2717497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*r - 91. Suppose 93 + r = 8*t. Let v = t - -49. What is the highest common factor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 13*d + 5. Let v(b) = 65*b - 3. Let m be v(0). Determine l(m).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 187 and 42415.\nAnswer: 466565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v - 7. Let m = -141 - -146. Determine o(m).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -514 + t**3 - 509 - 2*t**3 + 1023.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from {o: 5, m: 4, e: 4, x: 2}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**0*a)\/a)**16*(a**(-7))**(-40))**30 assuming a is positive.\nAnswer: a**8880","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 43*i - 20. Is 6 a factor of a(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2810?\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24, 49, 74, 99, 124, 149?\n\"Answer: 25*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -76*n**3 - 13*n**2 - 124*n - 23. Let p(c) = -25*c**3 - 4*c**2 - 35*c - 8. What is -2*k(j) + 7*p(j)?\nAnswer: -23*j**3 - 2*j**2 + 3*j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 23244.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1062, -1064, -1066, -1068?\nAnswer: -1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 15. Suppose 2*r + 55 + 127 = 0. Let b = r - -109. Calculate the greatest common factor of b and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/23 + 29\/69. Let j = 9.786 + 0.114. Let g = j + -10. Which is the closest to g? (a) x (b) -2\/9 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59729207?\nAnswer: 83, 239, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 z when three letters picked without replacement from qqzlzttlqll.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 36*(5 - 4) + -4. Suppose u - 8 = 2*k + 13, -2*u = -2*k - a. Suppose -u*j + 8 = -9*j. Solve -5 = -j*s + w + 19, -s - 5*w = 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 - a**2 - 94 + 57 in the form p*a + i*a**2 + j and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82 - -3032. List the prime factors of h.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.111125 + -1.2511352. Let v = w + 1.14. Round v to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0826 to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-10))\/(2\/10). Let m be (60\/(-14))\/((-41)\/7 - -6). Let o = m + 34. Sort h, o, 2 in decreasing order.\nAnswer: o, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2*x + 1 = 0, 5*x - x - 53 = 3*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1aa (base 11) to base 5.\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227974?\nAnswer: 2, 31, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -5167 at most as big as -5169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23583727.\nAnswer: 2251, 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1275*d**2 + 63*d - 15. Determine s(1).\nAnswer: 1323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 752 - 1014. Let f = p - -252. What is the nearest to -3\/5 in 4, f, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 552\/184 - (1 + 982\/(-297)). Let m = o + -104\/27. Suppose -6\/11*q**2 - 20\/11*q + m = 0. What is q?\nAnswer: -4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-8)\/(-12))\/(4\/1)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4793265.\nAnswer: 3, 5, 29, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1106855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-7 - -2) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**3\/3 + b**2\/2 - b - 3. Let o(s) = -3*s**2 + 4*s - 4. Let n(y) = o(y) - 4*r(y). Let w(k) = k. Calculate n(w(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**6\/360 - s**5\/30 - 5*s**4\/24 - s**3\/3 + 2*s. Let d(z) be the second derivative of r(z). Let y = 10 - 5. What is d(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644275187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*j + 5*q + 1, -4*q - 9 = 5*j. Let l(h) = -2*h + 5. Let w be l(7). Let s be (w\/12)\/((-246)\/16). Is j != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + q - 11 = 0, 20*z + q - 13 = 15*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqu when three letters picked without replacement from yquuruyqqyquyyuyuygy?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7410*v - 9225*v - 22155*v - 98831*v.\nAnswer: -137621*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**2. Suppose 5*z - 20 = 2*d, -8 = z - d + 3*d. Let v(a) be the first derivative of 4*a**z - 7*a**2 + 54 - 9 - 24. Give v(y(g)).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5454\/119 - -784\/17. Find h, given that 2\/7*h**3 + 4\/7 + 2\/7*h**4 - a*h - 6\/7*h**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(-22)*5\/((-105)\/(-28)) and -2\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbxs. What is prob of sequence bs?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 825 is divided by 139?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from sdccmvaa.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*560\/490.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14360 and 2640.\nAnswer: 947760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3010*j + 33108. Let g be q(11). Let t = 37533333360706\/117715 + -4145039606\/13. Let z = -2\/9055 + t. Is z at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39896192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.6 + 1.9. Put 0.6, 0, z in descending order.\nAnswer: 0.6, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a. Give s(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 77*w - 4. Let u(t) = t - 1. Let k(a) = -r(a) + 2*u(a). Is k(-17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/3 + 1882*u**2 - 1583088*u + 294993864 = 0. What is u?\nAnswer: -3531, 354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/39 - 12\/7 and -9\/4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36.52 or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, w: 2, x: 2, y: 2}. What is prob of picking 2 x and 1 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1601177.\nAnswer: 29, 55213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 12*o - 1. Let c be a(-4). Let w = -25 - c. Let h = w - 10. Calculate the remainder when 39 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/(34\/(-17))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 - -119. Calculate the remainder when s is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 21, 3, -3\/4, -0.3 in ascending order.\nAnswer: -3\/4, -3\/5, -0.3, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -141\/10 + 29\/2. What is the nearest to d in 3\/8, -2\/15, 0.2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1749.975783 to the nearest 10.\nAnswer: -1750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 27\/1 - 0\/(24\/(-4)). Suppose -21*h + c*h - 690 = 0. What is the greatest common divisor of 92 and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -1894.62.\nAnswer: 1893.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 2*m + 0)*(-4 + 3 + 0) - 1616 - 383*m + 1616 - 3*m + 3*m + m)*(-2 + 6 - 1) as s*m + o and give s.\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 3*j - j + (1 - 1 - j)*(-3 + 2 + 0) - 2 + 2 + 2*j + 3*j - 3*j + j)*(7 - 14 + 3*j + 9)*(-53*j**3 - 61*j**3 + 81*j**3).\nAnswer: -495*j**5 - 330*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -7*j**3 + 15*j**2 - 3621*j - 15. Let d(p) = 3*p**3 - 6*p**2 + 1811*p + 6. Give 5*d(i) + 2*r(i).\nAnswer: i**3 + 1813*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -2. Suppose 5*l = 5*s + 25, -5*l - 4*s + u + 19 = 0. Let g = -185\/4 - -46. Which is the nearest to 1? (a) 0.5 (b) g (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13100 - 13096. Let k(a) be the third derivative of 0*a**3 + 7\/24*a**6 + 0*a**x - 1\/2*a**5 + 0*a + 8*a**2 + 0. Find the third derivative of k(j) wrt j.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9710.781 milligrams?\nAnswer: 0.000009710781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52327607 to the nearest integer?\nAnswer: 7234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6186*l**3 + 3*l - 1954.\nAnswer: -37116*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjaajjjxxaxqxj. What is prob of picking 1 a, 1 x, and 1 j?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**2 - 4*r**2 + 3*r**2)*(98 + 61 + 85 - 21) as g*r + b*r**2 + n and give b.\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 114*b**2 - 37*b - 115*b**2 + 13*b wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18764647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/11604 and 7\/260468.\nAnswer: 755617668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.47537 - -49660982?\nAnswer: 49660971.52463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**39\/z**23)\/(z**(-8\/9)\/z**(-12)))**(-25) assuming z is positive.\nAnswer: z**(-1100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 0 + sqrt(396))*-3.\nAnswer: -21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 - 5*z + 18. List the prime factors of u(18).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -982621 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3336036673 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 3531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6470\/11 - -110012\/187. What is the nearest to 1.4 in -3, 2\/1083, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2. Let u(a) = -394458*a. What is j(u(n))?\nAnswer: -155597113764*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (297 + 3*k - 297)*(-10*k - 4*k + k) in the form y + i*k + a*k**2 and give a.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32085887503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6537*u + 65372. Calculate f(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 14*n - 782 = 0. Is (-38)\/(-6) - 7 - n\/3 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n - 2. Let s be x(-2). Suppose 15 = -t + 5*o, -s*t - 3*o + 32 = -2*t. Is (1497\/(-6))\/(t\/(-10)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*g**3 - 21*g**3 - 80*g**3.\nAnswer: -128*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(456\/32)*5\/(165\/(-9))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*t**3 - 46473*t**2 + 6407168*t.\nAnswer: 114*t - 92946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 10*t - 145. Give k(14).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -141\/9380 and 43\/8442?\nAnswer: 84420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -3, 2, 18, 9320 in decreasing order.\nAnswer: 9320, 18, 2, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**5 - 5*c**3 + 5*c**3 + c**5 - 6*c**4 + 6*c**4 + 0*c**5 - c**5 + 4*c**5 + (-2*c**2 - 2*c + 2*c)*(0*c**2 - 3*c**3 + 0*c**2).\nAnswer: 13*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -24.4. Let g = -1.3999968 + y. What is g rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**2 - 15*s + 7. What is the units digit of r(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -499453*q**4 - 5266*q + 3?\nAnswer: -5993436*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2461 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 11. Let h = 210 + -33. Suppose -k = -2*p + 6*p - 363, 2*p - h = k. Calculate the greatest common divisor of p and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-4) - (-3)\/(-12). Let j = 17 + k. Calculate the highest common divisor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75054 and 2244?\nAnswer: 28070196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/27)\/(((-18)\/1)\/(-3))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*d + 10 = -10, -2*h + 4*d + 8 = 0. Solve r = 4*s - 21, -h*r - r - 21 = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33957\/1089 - (-4)\/66*-3.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 466, 1466, 3334, 6346, 10778?\nAnswer: 16906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 25 = k, -m + 40 = 4*m + 4*k. Solve -m*z + 4 = -2*n + 2, 0 = -4*n - 5*z + 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3134*h**4 - 1881*h**4 + 6221*h**4 + 3*h**2 - 3*h**2 + 2*h**4 + (0*h**3 + 0*h**3 + h**4)*(3 - 3 - 1).\nAnswer: 1207*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/7*1\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (7 + (-187)\/(-55))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2140033 + 21444?\nAnswer: 2212032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 25*i - 161. Let r(p) = -p**3 + 7*p**2 + 4. Calculate r(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -4\/31 (c) -1.61 (d) 3\/5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.97 in 2\/7, -5, 350435?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.746 + -0.246. Which is the closest to -3? (a) w (b) 7\/9 (c) -1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -13*n + 6. Let a be y(15). Let d = -139 - a. Solve -5*w = 5*m - d, -7*w + 2*w = -4*m - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -111111011110 (base 2) in base 4?\nAnswer: -333132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 32880260?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 - -206. Let l = -118 + h. Which is the smallest value? (a) -3 (b) 0 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 423 + 2?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + v = -1, -3*v + v = 3*m - 16. Solve -10 = 5*g - 5*z, m - 10 = 5*g - 3*z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1213116, -3, -5, 4 in increasing order.\nAnswer: -1213116, -5, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 209 = -4*f + 2, -4*f - 5*i - 257 = 0. Let a be 1\/(0 + 2\/f). Let j = -31 - a. Sort -5, 10, j, 4 in decreasing order.\nAnswer: 10, 4, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 65387546, 130775084, 196162622?\n\"Answer: 65387538*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**3 + 15365969*s**2 - 61463864*s + 61463860 = 0.\nAnswer: 2, 15365965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*n**4 - 106768*n**3\/11 + 405822*n**2\/11 + 403792*n\/11 - 108600\/11 = 0. What is n?\nAnswer: -543, -1, 2\/9, 50\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4278042 and 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 4129382600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 122 * -111080.\nAnswer: -13551760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 24. Let a be g(10). What are the prime factors of (-1022)\/(-4) + -7 + a\/4?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1161371, -1161372, -1161373, -1161374?\n\"Answer: -u - 1161370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1629 divided by 12\nAnswer: -543\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**5\/15 - 25*d**4\/24 + 38*d**2. Find the second derivative of h(w) wrt w.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25021 (base 6) to base 14.\nAnswer: 14b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394958 is divided by 131652.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1.1, -2, 3, 2, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1013023133 (base 5) to base 6\nAnswer: -112324401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3597498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 r when three letters picked without replacement from {u: 2, z: 2, r: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.31144 * 0.3.\nAnswer: 0.093432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.4 + -9. What is the nearest to 2 in -0.2, j, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 79 = v + 12*l, 3*v = 5*l + 182. Let t(n) = -14 - v*n + 137*n - 78*n. Let m(d) = 2*d + 3. Determine 16*m(w) + 3*t(w).\nAnswer: 2*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (0\/1)\/1*(-63)\/126\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 376*a**5*g**3 - a**5*g - 2*a**2*g**3 + 2*a*g**3 + 529 wrt a?\nAnswer: 22560*a**2*g**3 - 60*a**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 368 divided by 46?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -136*o**2 - 132*o - 45 - 5*o**3 + 3*o**4 + 10*o**3 + 10*o**2 - 41*o**3 = 0?\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + b = -2*a - 8, -b - 4 = 0. Suppose -j = -a*j + 502. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80440 or -80419?\nAnswer: -80440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -258*5\nAnswer: -1290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z + 4. Suppose -3*r = r + 12. Let b(h) = -5*h - 9. Let d be b(r). Let i(w) = 7*w - 8. Determine d*i(n) + 11*g(n).\nAnswer: -2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 310, 1, -75\/4 in descending order.\nAnswer: 310, 1, -75\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -648*y + 3253 = -16187 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1482 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 546 = -1298. Let y = i - 249. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (39\/4)\/3 + 3\/(-12). Suppose u*r - r = 4*r. Let m be (0 + 1)\/((-4)\/(-52)) - r. Which is greater: m or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i - 3*i + 5*i + 924*i**2 - 4*i to s*i**2 + k + d*i and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by 21.\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 110342 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m + 5. Let k(c) = 11*c + 5. Let z(f) = 7*f + 3. Let a(b) = -5*k(b) + 8*z(b). What is 3*a(g) + w(g)?\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)*x**(1\/10))**(1\/7)\/(x**(-8)*x**(-1\/8)*x)**4 assuming x is positive.\nAnswer: x**(968\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2269758?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/30380 and 71\/186620.\nAnswer: 1306340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 15*l + 25)*(l - l - l**3) + (-3 - l + 3)*(2*l**3 - l**3 + 0*l**3).\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*t - 205. Let u = -8187 - -8190. Calculate the remainder when t is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 300 + 3?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 c when three letters picked without replacement from jejcceydejc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 - 19) + 8 - 2 - 8.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 12. Let i(j) = -j + 4. Let q be i(z). Solve -2*r = -4*r - q for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 + (-45 + 21 - -29) + -28?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15043202 (base 6) to base 9\nAnswer: 871082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5255, -21692, -49073, -87386, -136619, -196760, -267797?\nAnswer: -349718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10231 and -3.\nAnswer: 10228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1523 - 1487. Calculate the greatest common divisor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191003515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**2 - 14*c + 13. Let g be t(4). Let p be (0 + g)*(-10 + 5 - -6). Solve -4*d - 2*i = i + 25, 29 = -p*d - 3*i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -15, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**4\/12 - w**3\/2 + 5*w**2. Let t(p) = 2*p + 32. Let d(o) = o + 13. Let q(a) = -12*d(a) + 5*t(a). Calculate 5*l(c) + 4*q(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 0)*18\/(-15). Let x(l) = -16858*l + 4 + 8480*l + 8381*l. Give x(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -7861*o**4\/3 - 4*o**3\/3 - 14*o**2 + 53*o. Let y be r(-3). What is y rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 265126?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 12:56 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 7*y - 8. Let w = -14 + 18. Let c be m(w). Solve 5*h + 5 = -3*j + h, c*j + 4*h = -4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7255 + -3413. Suppose 0 = -2*h - 2*x + 19268 - i, -2*h + 15428 = x. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2*4 - -14. Suppose -6*g = -2*g - m. Solve 0 = -2*t + g*t - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (195\/(-10))\/13*-1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/3 in 3, 1, 6243, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, r: 2}. Give prob of sequence hrr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(14) - sqrt(14))*-4)\/(sqrt(2) + (sqrt(10)\/(2*sqrt(5)) - sqrt(2))).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-3 + (3 - 1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 113167399 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {x: 2, i: 5, b: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*r + 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 u when three letters picked without replacement from {l: 4, x: 6, n: 3, u: 6}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 20*d + 12. Let n be q(4). Let l be n + (0*(-2)\/(-10))\/(-2). What is the greatest common divisor of l and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -3*v**2\/2 + 10*v + 7. What is the first derivative of u(j) wrt j?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 9 + 39 = 0. List the prime factors of 10\/(-3)*h\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by -3*((-124)\/12 + -2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 - 97. Let g = h - -25. Let c be g + -2*(-1)\/(-2). What is the closest to -1 in c, 6, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 1. Let n be 3\/4 - 6\/8. Let k be (n\/(-1))\/((-4)\/(-4)). What is s(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35638 is divided by 475?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -664 or -666?\nAnswer: -664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbuki. Give prob of sequence ik.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170786 and 7084.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5792 + 5764.996. Let p = -28.9 + 1.9. Let m = p - b. Round m to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 53*i**7\/42 - 61*i**3\/2 - 95*i**2. Differentiate n(m) wrt m.\nAnswer: 1060*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6 + 16 - 33*d + 8 - 8 with respect to d.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 26. Suppose -46 = -2*z + 2*p, -4*z = -z - 2*p - 65. Let c = z - s. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -5 (c) 26\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1111647 and 1207.\nAnswer: 1111647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 13) to base 3.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 60 = -2*v + 50, 0 = v - 2*k + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6752471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 4:02 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 12 = 3*y. Let u(k) = -3*k**3 + k**2 + k + 2. Let n(q) = 7*q**3 - 3*q**2 - q - 4. Let a(z) = y*u(z) + 4*n(z). Is a(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25683.81871 to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(2*sqrt(640)).\nAnswer: sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8095 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: List the prime factors of 928605889.\nAnswer: 233, 3985433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + 2.6. Let j be (-4)\/(-3)*3\/(-7). Which is the biggest value? (a) q (b) 4 (c) 2\/7 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 375?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 75, 291, 651, 1155?\n\"Answer: 72*a**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146 + 407*t**2 + 67 + 400*t**2 + 79.\nAnswer: 807*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27345.117024 and -3.\nAnswer: -27348.117024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - g. Let u(m) = 5*m**3 - 10*m**2 - 10*m. What is u(w) - 10*z(w)?\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-39)\/(-9) - 5\/15. Let b be g\/16 + (-22)\/(-8). Suppose -2*i = -i + b. Let x(y) = -y**3 - 5*y**2 - 4*y - 2. Determine x(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -147 - 11*v + 285 - 142. Let j(p) = 34*p + 11. What is 3*j(k) + 8*s(k)?\nAnswer: 14*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0506 - -0.0394. What is the second biggest value in -5, 5, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 21*d - 2. Let q(o) = -20*o + 2. Suppose 45*a - 42*a + 11 = 5*n, n - 19 = -5*a. Calculate n*k(z) + 3*q(z).\nAnswer: 24*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 538*x + 2*x**3 + 3*x**2 - 7 - 2*x**2 - 3.\nAnswer: 2*x**3 + x**2 + 538*x - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4 = 2. Find the second derivative of -z*g + 6*g**4 - 4*g**4 + 0*g + 4*g wrt g.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + a - 2, 2*q - 8*a + 4*a = 12. Let x be 52\/234 + ((-100)\/(-18))\/q. Sort x, 11, -1, -4 in descending order.\nAnswer: 11, x, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-3\/11)*c**(7\/3))**(-12\/11)\/(((c*c\/(c*c**(-1\/9)))\/c)\/(c*c**(-11)*c))**(8\/11) assuming c is positive.\nAnswer: c**(-10852\/1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 + 3 = 0. Suppose -n*o + 32 + 31 = 0. Let z(a) = -13*a - 9. Let t(f) = 3*f + 2. Calculate o*t(w) + 2*z(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(507\/(-26) + 17). Sort 11, h, 5, 9 in decreasing order.\nAnswer: 11, 9, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbxbb. What is prob of sequence bxbb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1014 + 0?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8917\/6 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 1 = -2*v. Let c = 4 + v. Factor 2\/3*b**2 - 2\/3 + c*b.\nAnswer: 2*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -162?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -0*b + 435. Let n be (10\/15)\/(2\/b). Solve -3*p + n + 0 = 4*g, -g - 4 = -3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8857.418 grams in kilograms?\nAnswer: 8.857418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 + 49 + 43 - 466*g.\nAnswer: -466*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**3 - 3*i**3 + 2*i**2 - 4*i**3 in the form l + c*i + x*i**3 + p*i**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 + i**2 + 4*i**2 + 4 - 4 + 8*i**2 + i - i + i**2 + (2 - 2 + 1)*(0*i + 2*i**2 + 0*i) - 7*i**2 + 2*i**2 - 7*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*j**2 + 31*j**2 - 207*j**2 - 52*j**2 - 18*j**2.\nAnswer: -386*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**40\/((o**(-5)\/o)\/(o*o*o*o*o*o\/o**(-2)*o)) assuming o is positive.\nAnswer: o**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 33 + 7 = 2*r, -2*b = -r. Which is smaller: 12 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004886439 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5 + 2*s**4 + 6*s**3 - 20*s**2 + 19*s - 6.\nAnswer: -(s - 2)*(s - 1)**3*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - ((0 + 4 - (46 + -47)) + -5)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -53 - 47. Calculate the remainder when 71 is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 1 (c) -39612\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234 = -5868*k + 5907*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 3*m - 3. Let v be y(3). Suppose 0 = -2*x - 4*w - 2, 0 = 5*x + w - 13 - 9. Let q = x + v. Solve -q*l - 8 = 4*i, -4 = i + i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 17 = -y + 56, s - 2*s + 9 + 3 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**(-3)*b)\/b))\/((b\/(b*b**(-16)))\/b) assuming b is positive.\nAnswer: b**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 10*s - 56. Give m(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -87 (c) -24 (d) -1\/5 (e) 2\/13 (f) -58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -251 - -249. What is the hundreds digit of 6\/4*-1 - 1201\/o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -876 and -3503\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i**3 - 76*i**2 - 102*i + 1061. Give p(13).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 202196148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 + 86*r + 40. Calculate the smallest common multiple of w(-43) and 65.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 373 divide 36584586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 11*c**2. Let o(d) = 639*d - 1299*d + 630*d. Calculate q(o(m)).\nAnswer: 9900*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -411839\nAnswer: -82367.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2 - 6 + q**2 + 6 + 17*q - 5. List the prime factors of l(-21).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -90. Let f = t + 11. Is 63 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*f + 2456 + 1923 - 1653 = 0 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/7 - 1406*j\/7 + 494209\/7.\nAnswer: (j - 703)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -22755835 - 67\nAnswer: -22755902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/11 and 107\/91546.\nAnswer: 1007006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5445*0.07.\nAnswer: -381.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 3*p - 2. Let j(s) = 3*s**2 - 10*s - 6. What is 2*j(a) - 7*x(a)?\nAnswer: -a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117911*h = 117903*h - 240 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, g: 4, w: 6, x: 1, u: 2, q: 3}. Give prob of sequence uugu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 10*c - 35. Let o(k) be the second derivative of c*k + 0*k**3 + 1\/4*k**4 + 0 + 2*k**2. Differentiate o(n) wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + a + c = 10, 0 = -a + 4*c - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -555 or -562?\nAnswer: -555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-26)\/(-6) + 4\/6. Let t = u + -3. Find the third derivative of -r**t - 5*r**4 + r**4 - r**2 wrt r.\nAnswer: -96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -223, 109, 8, -1\/6?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 - 7*m - 20)*(4*m**3 + 0*m**3 - m**3) in the form u*m + j*m**2 + k + a*m**4 + i*m**3 and give a.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 830 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 14*d + 508. Does 81 divide b(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 6*x**2 - 9*x - 2. Let w be y(-4). What is q in -2\/7 + 2\/7*q**w + 0*q = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 23*k**2 + 3*k - 57. Let v be g(23). Let c = -25 + v. Let q(d) = d**3 + 13*d**2 - 16*d - 4. What is the tens digit of q(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7145.716 millennia in centuries?\nAnswer: 71457.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*u - 12 = 0. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 842 divide 96005682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 875695 (base 10) in base 4?\nAnswer: 3111302233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -954 + 959. Solve -6*t + 4*x = -8*t, -30 = 5*t - d*x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*u - 16*u - u - 25*u to h*u + w and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-96)\/(-288) + 2\/3. Is -197 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1324785 - -6344.\nAnswer: 1331129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/161, 0, -2, 1\/6 in descending order.\nAnswer: 1\/6, 0, -5\/161, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2595014238537389\/436095693874620 - -1\/12243000951. Let d = x + -1\/1781. What is the common denominator of d and -101\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 6\/23, 5, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, d: 5}. Give prob of sequence uu.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.4, -3.4, -0.38?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1222\/6281?\nAnswer: -1222\/6281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b + 2. Let n(r) = -r + 1. Let q(c) = 2*a(c) - 14*n(c). What is q(-7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.593 to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 3. Let o be m(5). Let d(a) = 2*a**2 + 9*a + 6. Let x be d(-4). Solve -x*g - 1 + 20 = 3*p, -4*p - o = -4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-9) - 1)*72*(-47)\/(-376). Let m be 4\/(-6) + 658\/(-732). Let s = 4\/61 + m. What is the biggest value in s, 3, -2, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 20001138.\nAnswer: -5\/20001138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3398\/48 + 3 - 624\/(-1664) - (-1)\/(-6)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 8 - 19*z - 9\/2*z**2 + 1\/3*z**3. Let p be d(11). Calculate the highest common divisor of 27 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 22*k**2 + 99*k + 40. Determine s(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2051 + 2024. Let n = -1311199 + 1311171.99845. Let k = s - n. What is k rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/179 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*o**2 - 12*o**2 - 7*o**2 + 25*o**2 - 2*o**3.\nAnswer: -2*o**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3249.895 centuries?\nAnswer: 3899874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*r - 9 + 2 + 1.\nAnswer: 75*r - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 0.3754644.\nAnswer: -1.5018576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 9*x**2 - 9*x - 8. Let z be c(-8). Is -2\/1027 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 126, 248, 414, 624, 878?\nAnswer: 1176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 354174*s.\nAnswer: -3*s*(s - 118058)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*u = -100*u - 115 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3465347411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1266230.\nAnswer: 2, 5, 7, 18089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 232048854769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 70413559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1175 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: Rearrange 6*n - 5*n + 9*n + 3*n - 2*n - 2*n - 4*n - n + 3*n + 4 - 4 + 2*n + (-3*n + 0*n + 5*n)*(2 + 1 - 1) to the form k*n + r and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 17\/4 of a hour?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -128.3 - -135. Let x = -10 + 3. Let a = x + f. Which is greater: a or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/2*(7 + -10)*16733\/1731.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 10024, 10197, 10372, 10549?\nAnswer: 10728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d - 10*d + 4*d + (0 + 0 + 2*d)*(2 - 1 + 1) - 2 + 2 - d + (-2*d - 1 + 1)*(-4 + 2 + 3) in the form q + g*d and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 8) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(-30) - (715\/(-39) - -18)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkplppdkdgk. What is prob of sequence gdd?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -11871268*s**2. Let h(t) = t**2. Give h(p(w)).\nAnswer: 140927003927824*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 142855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33814 = r - 22*h + 23*h, 5*h = 20. What is r rounded to the nearest one thousand?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -419 (base 12) to base 2\nAnswer: -1001010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddrbb. What is prob of sequence dd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-6)\/(-6)*2\/(-2). Let g be 4\/8 - ((-42)\/12 - a). Solve -5*z - 27 = 2*k, g*k + k - z = 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*t + 7*t - 14*t)*(2*t + 2*t - t) + (t**2 - t**2 + 4*t**2)*(-2 + 1 + 0) to the form k + g*t + n*t**2 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2.94. Let z = -0.34 - q. Sort -0.3, -1, z in decreasing order.\nAnswer: -0.3, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**3 - 29 + 19 + 14 + i**2 - 3*i**3 + 5*i as r + b*i**3 + w*i**2 + n*i and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9126 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqr when three letters picked without replacement from ttqqqrtrttqtqrtr?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(3*-3*sqrt(3)).\nAnswer: -sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/8 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 7 = -u, -4*u - 11 = g - 0*u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12938570?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.2. Let g be 32\/(-24)*(-3)\/2. Let i = 5 + -4.9. Which is the biggest value? (a) h (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (411\/(-9) - -11)\/(1\/(-3)) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6336241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + 0*r - 4*r)*((-19*r - 17*r - 7*r)*(0 - 2 + 0) + 3*r - 3*r + 2*r - 6*r + 3*r + 7*r).\nAnswer: 92*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (20\/(-8))\/(2\/(-60))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 2*v + 1. Let q be d(-1). Let s be (2 - 8)*-3 - q. Suppose 7*w + 6 = 10*w. Calculate the highest common factor of w and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4729 + 4731. Let q = -8.2 - -8. Which is the nearest to w? (a) q (b) -3\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((70\/(-12))\/7)\/(2\/(-12)). Solve 23 - 28 = -c*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q + 3 + 7*q + 2*q.\nAnswer: 4*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 146 - 880 = 0. What is the third biggest value in 0, 0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73611*b*u**2 - 21*b*u - 2*b - 2*u**2 - 23*u - 3 wrt u.\nAnswer: 147222*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91629 + 87072 = -147*b for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 11) to base 7.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -791267*d - 28215 = -791564*d for d.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00066185547 to 6 dps.\nAnswer: -0.000662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2))**33\/(a**(1\/5)\/(a*a\/(a\/a**2)*a)))\/((a**(2\/7))**(-25)\/(a**(-2\/3)\/a)**(6\/17)) assuming a is positive.\nAnswer: a**(-13474\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, 436 in descending order.\nAnswer: 436, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3146*y + 12480. Give w(-4).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 9:23 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -0*s + 10. Let x be s - (-24 + (8 - 4)). Is -2 - (-2 + -2 - x) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101 + 95. Let a(z) = -8*z + 39. What are the prime factors of a(j)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 10 + 0)*(5 + 0 - 2)*(5*h - 3*h - 3*h)*(-2*h - 2*h + 6*h - 3 + h + 3 + (0*h - h + 0*h)*(1 + 0 - 2) + 4*h - 23*h - 9*h).\nAnswer: 2736*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.83 and 2.\nAnswer: -5.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*v - 40 = 0, -3*m + 3*v + 2*v = 30. Put -2, 3, m in decreasing order.\nAnswer: 3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 196, 312, 474, 682, 936, 1236?\nAnswer: 1582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -5. Let p = y + 2. What is the smallest value in 2\/25, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3 + 4*i**2 + 6 - 2 - 5*i**2 - 5*i. Let y be ((-9)\/6)\/((-6)\/8). Let n be (-2)\/(-4*y\/(-20)). Determine w(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 951*f**2 - 91*f*t**2 - t**2 + 88366*t wrt f.\nAnswer: 1902*f - 91*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-33 + (-1696)\/(-64)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 763072996 a multiple of 9488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111101011101000011 (base 2) in base 9?\nAnswer: 1412425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*q**2 + 89*q**3 - 1 + 29*q**3 - 14*q**2 - 18*q**2 + 50*q**2 to j + z*q**2 + v*q + t*q**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 9:51 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -1, -27384 in ascending order.\nAnswer: -27384, -1, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 79187122 and 306.\nAnswer: 712684098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 43*x**3 + x**2 - x + 1. Suppose 0 = -2*m - m + 5*n - 2, -5*m + 7 = 2*n. Let c be l(m). What is the highest common divisor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = 3*a + 36*a. Let r(s) = 3*s**2 + 11*s + 13. What is r(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.9? (a) 1 (b) 78 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 6*a**2 + 2*a + 9. Let u be c(-6). Let i = -87\/16 + 229\/48. What is the fourth biggest value in i, 0.3, u, 6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40490245?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.42 + 4.9. Let r = y + 0.52001. What is r rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**18\/((q*(((q\/((((q*q*q**(2\/11)\/q)\/q)\/q)\/q))\/q)\/q)\/q)\/q**(2\/21))*((q**(-2\/9))**(7\/2))**(2\/9) assuming q is positive.\nAnswer: q**(106679\/6237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -3, 3, -12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 409.37635 + 692?\nAnswer: 1101.37635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p**2 - 4*p**2 - p**2. Let t(q) = -147*q + 5. Let w(k) = -74*k + 3. Let b(u) = 3*t(u) - 5*w(u). Calculate b(f(g)).\nAnswer: -142*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/j**(-2\/3)))\/j**(-2\/5))**(14\/5))**(2\/65) assuming j is positive.\nAnswer: j**(-112\/4875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f**3 + 3*f + 2*f**3 - 18*f**3 in the form o*f**2 + b*f + h*f**3 + r and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q + 2*q = 544 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -3. Suppose -9 = -6*n + j*n. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*l = 1232, l + 323 = j - 4*l. Let f = j + -86. What are the prime factors of f?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-46)*400499\/(-888063)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -339 divided by -113?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -559 divided by -18952?\nAnswer: 559\/18952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143927 and 18434.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 54 and 38 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*t - 81*t + 15 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 + 5*n**2 - 3*n - 5. Let x(v) = 2*v**3 - 4*v**2 + 2*v + 4. Suppose -59*w - 29 = -54*w + m, 0 = 3*w + 4*m + 31. Calculate w*x(p) - 4*d(p).\nAnswer: -2*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**4 - 39076*o**3 + 387850*o**2.\nAnswer: 48*o - 234456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/90)\/((-16)\/20). Let w = 11\/36 - n. Which is bigger: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1213.1702 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 24*t + 32. Let i be b(23). Suppose 17*d + i = 22*d. Suppose -7 = -5*p + 4*f, 0*p + 5*f = -p - 16. Is p smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (58\/2)\/(393 - 394)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 26*o**2. Let l(s) = -939*s**2. Give l(v(k)).\nAnswer: -634764*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4322524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f - f - f)*((-1 - 1 + 4)*(-4 + 5 - 5) + 0 + 1 - 3) as l + u*f and give u.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*o + 2*v - 112, -o + 66 = 3*v. Suppose 0*r + 3*l = -r + o, 0 = 2*l - 2. Calculate the highest common factor of 60 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + x + 2, 5*c - 4*x - 7 = 0. Let s = -31.1 + -125.9. Let w = s + 152. Sort w, -13, c in descending order.\nAnswer: c, w, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3506 (base 12) in base 3?\nAnswer: 22002220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -248.549 to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haa. What is prob of sequence ah?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -808 divided by 2?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -10604757*g**2. Let q(n) = 3*n**2. Calculate q(b(x)).\nAnswer: 337382613087147*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -249 - -248.5. What is the third biggest value in 0, o, 2\/11, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, 0.5, 14, -3\/7, -18.\nAnswer: -18, -3\/7, -0.15, 0.5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 3:13 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -980 - -974. What is the second biggest value in i, 0.4, 2\/59?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 17*n**4\/3 + 220*n. Let q(j) = 4*j - 2. Let s(g) = 9*g - 5. Let y(i) = -5*q(i) + 2*s(i). What is w(y(u))?\nAnswer: 272*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {k: 3, q: 7, d: 8}?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -38*v + 5135. Let u be c(-17). What is the highest common divisor of u and 861?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a day in seconds?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2287 + 2287.001863. Round z to 5 decimal places.\nAnswer: 0.00186","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6691043.\nAnswer: 37, 139, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*k - 239 = 25*k - 1235 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1078461*g**2 + 259844*g wrt g.\nAnswer: -2156922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1427 + -377351?\nAnswer: -375722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -188 + 189. Let v = -316 + 29073\/92. Are g and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 0*b**4 - 11*b**2 + 0*b**3 + 0 + 1\/60*b**5 + 0*b. Let h(i) = 2*i**2 - 2*i. What is h(f(w))?\nAnswer: 2*w**4 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 693, 451, 59, -483, -1175?\n\"Answer: -75*i**2 - 17*i + 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-20))\/(((-55)\/10)\/(-11)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1207 + 515 + 512 - 444*z**2 with respect to z.\nAnswer: -888*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 125410*m**2 - 118*m + 372 wrt m.\nAnswer: 250820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 959 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -2*l**3 + 0 + 2*l - 6*l**2 - 1\/4*l**4. Let x(c) = 0. Calculate c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 1980462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -945312, -1890521, -2835730?\nAnswer: -3780939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 20212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 257*c - 457?\nAnswer: 257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*j**3*x + 11*j**3 - 16709*j - 217932144*x with respect to j.\nAnswer: -66*j**2*x + 33*j**2 - 16709","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22829*s = 22833*s - 5*p + 30, 4*s - p + 38 = 0 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36207120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 4:55 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 2, -0.5, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*-5*((-2*sqrt(75) + -5 + 2 + 1*sqrt(75) + sqrt(75) + sqrt(75) + sqrt(75) + sqrt(75))*-5)**2.\nAnswer: -67500*sqrt(3) + 512998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 2)*(i + i + 0*i) + 309*i - 426*i + 285*i to the form k*i + n and give k.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1984 and 2240.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**3\/2 + 1077*j**2\/2 - 124065*j\/2 + 4625775\/2 = 0. What is j?\nAnswer: 89, 105, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 4 - 2. Let g be w + (6 - 2) + 23. Suppose -4*d + 47 = -g. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96 + 109. Let x = 20 - a. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t + 1. Let h be v(1). Suppose -5 = h*g + 5*s, -g + 2 = 2*s - 0. What is the units digit of (-43)\/g - 1\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1826*-2724.\nAnswer: 4974024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -733612*w + 733425*w - 7854 for w.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 2*n - 29. Let r be s(5). Let i be (-40)\/(-18) + 22\/(-99). Solve i - r = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 24. Let i(l) = -l**2 + 1. Let k(w) = -3 + 4 + 5 - 7*w**2. Let y(h) = r*k(h) + 6*i(h). Let f(t) = -3*t. Calculate f(y(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -v**4\/3 + 7*v**2\/2 + 2. Let s(a) be the second derivative of j(a). Let n(o) = -3*o**2. What is n(s(h))?\nAnswer: -192*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (96800034 - 14)\/(0 - -1). Suppose -4*o = 5*w + c, w - 10696264 - 37703732 = 2*o. What is o rounded to the nearest one million?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 156\/(-24) + 3\/2. Which is the second smallest value? (a) -0.4 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 9 - 1)*(-j + 2*j - j**2 + 0*j) as g*j + h*j**2 + r and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 491076739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/84862 and 43\/6182.\nAnswer: 933482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 1435.\nAnswer: 4305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*n = -114*n - 18. What is the remainder when n is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 2*c = 3*c - 6, -4*x - 3*c = -22 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5720*s - 1778. What is the ten thousands digit of w(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2100\/4900*8\/(-6))\/((-2)\/(-14))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m. Let a(s) = -29*s + 6. Determine a(q(y)).\nAnswer: 87*y + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 135 + 155 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**9\/(n\/n**(-3\/35)))\/(n*n*n\/(n**(1\/2)*n)*n*n**(13\/6)*n))**(-35) assuming n is positive.\nAnswer: n**(-236\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -1 (b) -29888 (c) 0 (d) -0.1 (e) 43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 541200 to the nearest ten thousand.\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 128*y + 635. What is the thousands digit of z(35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2 = 3*t. Let k be (3\/t)\/((-2)\/4). Let c be 12\/(2\/(-3)*-3). Solve -k*w - 9 = c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**6)**(-17) assuming d is positive.\nAnswer: d**(-119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(12\/1))\/(-5).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4935855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 65 = 4*u, 262*u - 483*u - 79 = -226*u - 2*i for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 333 and 3660336.\nAnswer: 3660336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4 = -0. Let s(n) = 2*n**2 - 6*n + 2. Let u(i) = -i**3 - 2*i**2 - 2*i + 2. Calculate the remainder when s(q) is divided by u(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 18*s + 427*s**2 - 118*s**2 - 49*s + 31*s + 3.\nAnswer: 309*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-4))\/(-1) + 259\/148. Let r = 119 + -121. Let n be 0\/(2 - ((-18)\/r)\/3). Which is greater: n or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862913982.\nAnswer: 2, 3, 7, 17, 83, 14561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 52 + -46 - 104\/18. Let s be (2 - 3 - 1)\/9. Which is the biggest value? (a) s (b) 57 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 5*p**3\/3 - p**2 - 4*p + 1. Calculate the smallest common multiple of 14 and f(-2).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1313280 and 57240.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 3:16 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwicwwzizffzfiiwiifz. Give prob of sequence zizc.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247936.\nAnswer: 2, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116 + -111. What is the nearest to 1\/3 in 2\/5, 0.5, r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 73*n - 1292. Let p be w(19). Calculate the highest common factor of p and 1216.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -81863, -81866, -81869, -81872, -81875?\n\"Answer: -3*x - 81860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 1)*(1 - 2*o - 1) + 7 - o - 3 + 0 + 3*o - 2*o + o to g + s*o and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3793222, -3793224, -3793226?\n\"Answer: -2*t - 3793220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59299266 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a century in years?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s - 22. Let q be o(-11). Is q at least as big as -1\/363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 255*c + 43408. Give m(-170).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.1 + -6.1. Let r(b) = -b**3 - 16*b**2 - 27*b + 18. Let k be r(-14). Suppose 9*y + 6 = 4*y - c, 4*y = -c - k. What is the biggest value in f, -2\/9, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/7)\/(979\/77 - 13). What is the nearest to 8\/77 in q, 4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25965330483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q + 8. Let v be a(-2). Calculate the highest common divisor of v and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 138?\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -8*b**2 + b - 5. Let a(m) = 15*m**2 - 2*m + 9. Let n(q) = 6*a(q) + 11*u(q). Calculate n(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 220.9341689 to 0 dps.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3261 + 9850 + 2988*v**2 - 3320 - 3269.\nAnswer: 2988*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/3))**(2\/9)\/(f**(-4)*f**(-1\/4)\/f))**11 assuming f is positive.\nAnswer: f**(6061\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 600 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, 2\/13, 1, 315, -0.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2916 + 2921. Put -47, -14, h, 0 in decreasing order.\nAnswer: h, 0, -14, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 22, 33, 44, 55, 66?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + v = 5*v - 93, -v = 3*b - 235. List the prime factors of b.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5241710, 5241673, 5241636, 5241599, 5241562, 5241525?\n\"Answer: -37*i + 5241747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 + 29)*(0*g**4 + g**4 - 4*g**4).\nAnswer: -99*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 589 - 589 - (28 - -3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00562273874 rounded to five decimal places?\nAnswer: 0.00562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - -2)\/(16 - (1 + 1)). What is the third biggest value in 0.5, -15, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/6710139 and 73\/6710139.\nAnswer: 6710139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((11*(-10)\/165)\/((-28)\/(-30)))\/((-132)\/77).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 24024963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14427 + 84*d - 14427)*(-3*d - 2*d**3 + 3*d) - 3*d**4 + 3*d**4 - 2*d**4.\nAnswer: -170*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*o + 3 = 0. Let f = o - -3. Suppose d = -4*g + 10, 4*g + 0 - 4 = f*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26)\/(-65) + (-448)\/(-5). Let d be (j\/40)\/(6\/(-32)). Let u = 25 + d. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 121030?\nAnswer: -121023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2555 - 11?\nAnswer: -2566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - l + 15. Let t(j) = -j - 2. Let w(a) = h(a) + 5*t(a). Let w(q) = 0. What is q?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 15 = -3*p. Let w be ((-1)\/1)\/(3 - 4). Differentiate -4 + w - k**p + 4*k**3 + 4 with respect to k.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -13945 and -13939 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 7. Suppose 2*t = 5*t + 3*f + 15, 4*f = -2*t - 20. Suppose -3*z = -t*z. Let i be b(z). Solve 0 = -4*a - 4, -3*h + a = -i*h + 15 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1326119 and -0.5.\nAnswer: -663059.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 217 and 0.3.\nAnswer: 65.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 9 = y. Solve -3*d + y*m = 19, 0 = 4*d - 3*d + 4*m - 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 8*q**3 - 3*q**2 + 3*q - 37. Is h(22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-1661)\/77 + 9\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swww when four letters picked without replacement from ppspswssstpvsvpps.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*v = -238 - 148, -4*v - 8 = 0. Suppose -275*h = -274*h - 4*l - 27, -3*h + 2*l + 31 = 0. What is the lowest common multiple of h and y?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*(-7*s**2 - 13*s**2 + 16*s**2 + 2*s**5).\nAnswer: 2*s**5 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 2*s**6 - 237*s**5 + 3195*s**4\/4 - 865*s**3 + 285*s**2\/2 + 288*s + 890. Suppose d(g) = 0. What is g?\nAnswer: -1\/4, 1, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*n + 11 + 9, -2*k + 4 = -2*n. Solve -5*j + p - 6 = 7, -j + k = 2*p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120.59093 + -925102?\nAnswer: -925222.59093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1359)\/(-6) - 3\/6. Suppose a - 2*m + j = 5*a, -a + 49 = 2*m. Suppose 3*o = 2*o + a. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -730118, -730117, -730116, -730115, -730114?\nAnswer: -730113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 4:03 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**7\/840 + s**6\/180 - s**4\/24 + 11*s**3\/3 - 12*s**2. Let m(d) be the first derivative of l(d). Determine m(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*i**2 - 1 + 45*i**2 - 2*i**3 - 20*i**2 - 61*i**2 + 13*i**3 to the form v*i**2 + p*i + c*i**3 + b and give v.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019324279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14188.421 rounded to the nearest 10?\nAnswer: 14190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/654110 and -87\/41863040.\nAnswer: 41863040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4*(-250)\/15. Let u = o + -14. Let z be u\/(-2) - 2\/(-4). Let n(b) = -b**2 - 7*b - 4. Calculate n(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9*p**2 - 11*p + 11. Let l be 2\/(-6) + (-160)\/(-30). Let g be (22*1)\/(l - 3). Let w(z) = 3*z**2 + 4*z - 4. What is g*w(v) + 4*j(v)?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + (-21 - (32 + -51))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 - 49.999336. Round w to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101011 (base 2) to base 16.\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*t + 53*t + 4 = 0. Let q(d) = 402*d - 13. Is q(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/12 and -17\/46752.\nAnswer: 46752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 299066?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -112*a**2 + 286*a + 315. Determine b(-1).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.32 + -13.32. Let o = -9 - c. Let y = 1192 - 1192.3. What is the second smallest value in o, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 137 + -4?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*2\/15*(-130)\/286?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.3*49.\nAnswer: -504.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130 - -243. Let s = -122.1 + m. Which is the third biggest value? (a) 0.3 (b) -2\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**4 - 3*i**4 + 4*i**4 + 5*i**2 + 2 - 3*i**3 - 7*i**2 to the form j*i**4 + a*i**3 + x*i**2 + c + b*i and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/369 (b) -0.3 (c) -3\/665\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, c: 3, k: 1}. Give prob of picking 1 o, 1 c, and 1 k.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/9377 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -138 + 249. Suppose -5*y + 4*i + j = 27, -5*y - 5*i + 120 = 0. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**3 - 2*d**3 + d**3 - 5*d**3 + 3*d**3 - 3*d**3 + (0 + 0 + 2*d**3)*(0 + 3 - 1) as k + w*d**3 + y*d + z*d**2 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011 - -10101101100010010000?\nAnswer: 10101101100001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000073980016 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 84? (a) 3\/7 (b) -5 (c) 2 (d) -0.058\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-1)\/h))\/(h*h\/(h**(-3)\/h)))\/((h*h\/h**(-1\/3))\/h**(-6\/13)) assuming h is positive.\nAnswer: h**(-226\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 6*j - 36. Suppose b + 5*x + 7 = -15, -b - 3*x = j. Calculate the remainder when (0 - 5 - -1)\/(-1) is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 + 1 + 4 - 4 + 3*o**2. Let u(n) = -n**2 - 2*n + 1. Let a(y) = -2*j(y) - u(y). Let r be (4\/(-6))\/(2\/(-6)). Determine a(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c96a (base 14) in base 2?\nAnswer: -1000011111100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.814446 kilograms in micrograms?\nAnswer: 814446000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -40*m**4 + 7*m**3 + 5*m - 59. Let k(j) = -20*j**4 + 3*j**3 + 2*j - 30. Let l(z) = 7*k(z) - 3*u(z). What is the second derivative of l(o) wrt o?\nAnswer: -240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a gram in milligrams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y + y - 9*y - 16 + 2*y. Let s be m(-10). Solve s*z = 7 + 13 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*t**4 + 2*t**5 + 4531*t - 4531*t + 4*t**5 + 0*t**5 + 7*t**5 + (2 - 3 - 1)*(2*t**5 - 2*t**5 + 2*t**5) - 3*t**5 - 9*t**5 - 11*t**5.\nAnswer: -14*t**5 + 31*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3863 from 0.081498.\nAnswer: 3863.081498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**2 + 5*z**2 + 29 + 6*z - 5*z + 4*z**2. Let k(d) = 14*d**2 + d + 31. Let l(u) = 7*h(u) - 6*k(u). Let q(t) = 5*t**2 + 6. What is -4*l(b) + 11*q(b)?\nAnswer: -b**2 - 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 1486?\nAnswer: 297.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 419 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = q + 14. Suppose -4 = -h - q. Sort -1, 1, h.\nAnswer: -1, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 != 20.416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.052 (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 171.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 5:10 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 13. Let d be p(7). Let a be 28\/12 + (-2)\/d. Is ((-12)\/(-10))\/(a\/25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2492 - -2489. Sort 11, k, 5 in decreasing order.\nAnswer: 11, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 49 = 41. Let w = k + -16. Find the second derivative of -6*o + 0*o**2 + o**2 + 8*o**w wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 20 = 2*i. Suppose 0 = 6*f + 8*f + 42. Let x be i*9\/6 + f. Solve 5*v = x*m - 2*m - 23, -5*v - 25 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40339 + 42022 = 51*a for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -20. Suppose 0 = -14*d + 15*d - s. What is the remainder when 16 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4937*s**4\/6 + 266599*s**3\/6 + 1500875*s**2\/3 - 3554336*s\/3 - 240 = 0. Calculate s.\nAnswer: -36, -20, -1\/4937, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mc when two letters picked without replacement from mcxux?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 5:34 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - p + 16. Let x be h(0). Suppose 4*c + 2 = 5*n, -n = 4*c + 3*n - x. Is c\/4 + 385\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 243681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbg when three letters picked without replacement from bggglglllgglgblgg?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113448390 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36.6282 - 3.4852. Let v = h - -0.257. What is v rounded to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/2))**(-18)*(v\/v**(-10)*v)**(-1\/6) assuming v is positive.\nAnswer: v**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 2. Let m be (15\/(-9))\/(1\/(-3)). Let l = 17\/28 - 3\/4. What is the nearest to m in l, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide (354\/295*(-25)\/(-9))\/((-2)\/(-1200))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = q - 16. Suppose 32*t - 16*t - 245 = 11*t. Calculate the highest common divisor of q and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 6:05 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 - 52. What is the highest common divisor of 32 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/63 of a week in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2432703?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/156*-75 - -4.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 1\/3 (c) -0.087 (d) 1 (e) -375 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1.003, 601 in increasing order.\nAnswer: 0.4, 1.003, 601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 4*b**2 + 3. Let p = 86 + -81. Let j(l) = -l**3 - 8*l**2 - 5. Determine p*i(d) + 3*j(d).\nAnswer: 2*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b = -13*b + 272. What is the units digit of 17\/b - (-66)\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/8454622 and -109\/25363866.\nAnswer: 25363866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4 - 5*r - 6 + 3. Is g(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from vvvyi?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 481375, 962756, 1444137, 1925518?\n\"Answer: 481381*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 3*d + 3*v + 42, 0 = 5*d - 5*v - 170. Let w = d - 0. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f + 86. Give i(15).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 12*y + 27. Let u = -39 - -37. Let h be m(u). Solve 3*p - 12 = -3*i - 0*p, -h*i = p - 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 10:17 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4301787428 to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -11*u**6\/30 + 2*u**3\/3 + 8*u. Find the second derivative of n(h) wrt h.\nAnswer: -132*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3567 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3)\/q)**(-2\/21)\/(q**(4\/5)\/(q**(-4)\/q)) assuming q is positive.\nAnswer: q**(-1787\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38 + -53b?\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((652\/(-220) - -3)\/(60\/75))\/(737\/56012)?\nAnswer: 38\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5 - 26 - 650003\/(-31152) and -103\/1342.\nAnswer: 32208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 74, -0.076, -1\/2, 2.2, -0.2?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4592586 is divided by 434.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103 by 252131.\nAnswer: 103\/252131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, x: 2, j: 4}. Give prob of picking 2 j.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2892 and -85043?\nAnswer: -245944356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -802 (b) -2\/11 (c) -0.5 (d) 0.5 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -12472*c + 26. Let p(n) = 12475*n - 24. Determine -12*a(q) - 13*p(q).\nAnswer: -12511*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.01642 + 0.016423579. Round c to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*s + 9*s - 5*b, -4*s = 2*b - 12. Solve s*m - y + 4 = -0*y, 2*y + 4 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -725, -1708, -2769, -3908, -5125, -6420?\n\"Answer: -39*g**2 - 866*g + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -50*f + 6. Let r(q) = 10*q - 1. What is -11*r(w) - 2*y(w)?\nAnswer: -10*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 24486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-87)\/(-6)*((-42)\/(-14) - -5). What is the greatest common divisor of 116 and y?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 12:13 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**5\/5 - 284*m**4\/5 - 584*m**3\/5 - 8*m**2\/5 + 116*m + 292\/5 = 0. Calculate m.\nAnswer: -1, 1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 9*p + 8. What is q(3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 6 = -2*h. Suppose -5*k = 2*p - 6*p + 18, h*k + 16 = 5*p. Factor -p*g + 0*g**2 - 2*g**2 + 0*g**2.\nAnswer: -2*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.46 + 0.56. Which is the smallest value? (a) -3\/7 (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 25 = 0, 0 = 5*c + l - 7021 - 839. What are the prime factors of c?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 11*j - 4. Let a be b(-8). Solve 4*v - a = 0, -28 = -x - 5*v - 7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t = -20*t. Suppose 5*u + 15 = t, 1795 = 5*w - 4*u - 597. What are the prime factors of w?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (((sqrt(2058) - (sqrt(2058) + sqrt(2058)*-3)) + sqrt(2058))*1)\/(-6*-1*sqrt(6)*-5)*4)**2.\nAnswer: 448*sqrt(7)\/15 + 25552\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 403020 divided by -18\nAnswer: -22390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 38979 and 53.\nAnswer: 39032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.1 - 0.1. Let v = 6 - s. Does -1 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 2*k + 3 + 1 = 0, 0 = 4*t - 5*k - 32 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-9))**24\/(t**3)**(12\/11))**(-27) assuming t is positive.\nAnswer: t**(65124\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -16*s + 15*s. Put 0.1, s, -5, 4 in decreasing order.\nAnswer: 4, 0.1, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 100 = 40. Calculate the common denominator of 28\/(-54)*(-30)\/(-20) and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 - 8*f**2 - 6*f + 49. What is the tens digit of y(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z - 3304 = -0*z. What is the greatest common divisor of 1062 and z?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/9 + (-1)\/3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -91708.77683 from 1.7.\nAnswer: 91710.47683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/15 + 6\/10. Suppose 7*m - h*m = -30. What is the units digit of m\/21 - (-130)\/14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36775197?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**3 - 262*k - 2 + 3*k**4 + 262*k + k**2 to h*k**2 + y + q*k**3 + n*k**4 + s*k and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 - v**3 + 0*v**3)*(-2*v + 3*v - 2*v) + (43807*v - 43807*v - 32*v**2)*(3*v**2 - 3*v**2 + v**2) + 0*v**4 + v**4 - 8*v**4 - 3*v**4 + 2*v**4 + 2*v**4.\nAnswer: -37*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15291 and 230722501.\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3\/134, 1839, 1, -4?\nAnswer: -3\/134","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2 - 40*h - 250. Let q(u) = -u**2 + 11*u + 81. Let s(l) = -3*d(l) - 10*q(l). Calculate s(-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60 - 23 + 258)*(1 + w - 1)*(3*w - 3*w - 3*w).\nAnswer: -525*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-268)\/6)\/(5*3\/(-45)). Suppose -38 = p*a - 135*a. What are the prime factors of a*4*25\/(-20)*-1?\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) -0.2 (b) 2 (c) 35 (d) -3 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 57?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = -3*o + 8*o - 2*j, 0 = -o - 5*j + 70. Let g(h) = -2*h**2 + 40*h + 46. Let v be g(21). Suppose v*z - o = 62. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 3*m + m + 1)*(-4*m - 2 + 4*m + m**2).\nAnswer: -5*m**3 + m**2 + 10*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70955.022 + 70895. Let q = 60 + v. Let m = q + 1.022. What is the second smallest value in 5, -4, -2\/3, m?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2512 + 2607. What is the remainder when r is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2473261317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 17*s**3 - 2*s**2 + s. Let p be j(1). Suppose -h = 3*h + 32. Let o = p + h. Solve -3*q + q = -o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 325800 times -3\nAnswer: -977400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -56, -52, -60, -92, -160, -276, -452?\n\"Answer: -2*r**3 + 6*r**2 - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*j + 2*d + 9, 0 = 4*j - 2*d + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 10*q - 12. Let n = 11 + -9. Suppose -n*o = -3*o + 2. Suppose 14 = -o*g - 2. Determine b(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64\/6 + 4\/12 is divided by 8\/(-10)*(-30)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 2*d + 6. Suppose 5*h + 2*o = -54, -d*o + 6 = -6*h + 5*h. Let r = 0 - h. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33512 is divided by 8369.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 325 + -108. Which is smaller: 216 or c?\nAnswer: 216","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**3 + 2*c**3 - 6*c**3)*(-5*c + 5*c + c**2) + (-6*c + 1 - 1)*(-2*c**4 - c**3 + c**3) + (-2 + 5 - 1)*(c**5 - c**2 + c**2) + c**5 - c**4 + c**4.\nAnswer: 14*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5430, 5, 2.\nAnswer: -3, 2, 5, 5430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/8622 and 97\/8622.\nAnswer: 8622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 171*t + 1173. What is v(-7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*r**3 + 5*r**3 + 6*r - 11*r)*(24 - r - 24) as c*r**4 + o*r**2 + m*r + k*r**3 + t and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 296 - 164. Suppose 19*n = 8*n + u. Let o = 19 - 14. Calculate the lowest common multiple of o and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2591, 0.5, -17 in descending order.\nAnswer: 0.5, -17, -2591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-18))\/((-392)\/252).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/9 - 2824*o\/3 + 2822.\nAnswer: 2*(o - 4233)*(o - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d\/(d*d**3))\/d)\/d)**4\/(d**(-10)\/d*d**6))**(-8\/3) assuming d is positive.\nAnswer: d**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217727?\nAnswer: 217727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 1928248.\nAnswer: 9641240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3360 and 22260.\nAnswer: 178080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-6)\/(-36)*30\/27*6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 10*c - 78 + 4 - 6*c - 5 to the form h + a*c and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*m - 1. Let i be m - ((-21)\/(-6) + -1). Is 1 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217664 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.05 or -7\/47176?\nAnswer: -7\/47176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22366 = 12*c + 2783 - 16057. What is the remainder when c is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 14) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -21*z**2 - z. Suppose -5*b + 2 = -4*b. Suppose -a + b*v = -5, 3*a + 6 + 0 = -v. Let t be r(a). Is -20 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2. Let k be (9 - 622\/4)\/((-1)\/2). Suppose 1 = 292*p - k*p. Let c(y) = -y**2 + 1. What is p*z(l) + 3*c(l)?\nAnswer: -l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s + 532 = 49. Suppose 0 = s*p - 8 - 34. Solve -7*x = -p*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16706*c = 16730*c - 144 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a century in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.7 - 0.3. Let k = j - -1.9. Sort -4, 0.1, k in descending order.\nAnswer: 0.1, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-528)\/54 - 3\/((-54)\/(-4)). Calculate the remainder when (-625)\/m*(-18)\/(-15) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - 4*i**2 - 3*i**2)*(2 + 0 - 4) + 12*i**2 - 9*i**2 + 8*i**2.\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 336, 433, 596, 825, 1120, 1481?\nAnswer: 1908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-182)\/(-4))\/(-7)*-6. Let y be 2\/5 - (-469)\/(-35). Let x be p\/y + 19\/7. Which is greater: -2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211762321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j + 187. Let d be q(-46). Solve -2*n = -d*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10*(-1 + (-4)\/(-8)). What is the third derivative of -9*t + 9*t + 4*t**2 - v*t**4 wrt t?\nAnswer: -120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as -107958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -2.1 and -1\/4229 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -1 (c) -0.52 (d) 0.043\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.025 (b) 0.4 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -7. Suppose -3*t + 0*t + l = 0. Solve 0 = -5*d + 20, 0*x - 5*d + 29 = -t*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than 3.693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 38*z**2 - 18*z + 126. Let o(k) = -k. Determine o(a(x)).\nAnswer: -38*x**2 + 18*x - 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m + 22. Calculate l(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 + 0 + -3 - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -228*t - 72. Let c(w) = -91*w - 29. Let h(l) = 12*c(l) - 5*j(l). Let u be h(4). Calculate the highest common factor of u and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2811*q**2 - 2817*q**2 - q**3 + 5628*q**2.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - f**2 + 67*f + 150. Let o be k(-11). What is the highest common divisor of 14 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -13*i + 5*i. What is the greatest common divisor of 91 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 + 65*a**2 - 49*a - 116. Give k(-33).\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 - z**3 - 2*z**3)*(-4*z + 3*z + 0*z) + z**4 - 3*z**4 + 4*z**4 + 375*z**4 - 1288*z**4 - 681*z**4.\nAnswer: -1590*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 5) to base 14.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/5*295\/1652?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-two fifths of a milligram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(76)\/(sqrt(12)\/sqrt(3)) + -1*2*sqrt(19) + -3.\nAnswer: -7*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186*-0.2.\nAnswer: 37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 19 = -95. Is -1 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758045008 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 - 4*r + 0*r**2 - 10*r + 10*r as k*r**2 + h*r + n and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 138873 = 3*f, 60*f = 59*f - s + 46286. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/158200 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 4:00 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*m*t**3 - 144*m*t**2 + 3059*m + 2*t**2 - 2*t wrt t?\nAnswer: -24*m*t - 288*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-12)*-20*12\/5. Suppose 7232 = j*q + 2656. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 - 7*g - 30. Let j(c) = -3979*c. Calculate d(j(w)).\nAnswer: 31664882*w**2 + 27853*w - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/20)\/((((-567)\/14)\/27)\/(1728\/(-48))).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*g + 7*g - 104. Let w(y) = -y**2 - 12*y - 8. Calculate w(g).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1937\/(-39)*(3 + 0). Which is the second biggest value? (a) 0.5 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 14547 - 4602. Suppose 25*r - 8*r = w. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**16)\/k**17 assuming k is positive.\nAnswer: k**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/11840 and -17\/370.\nAnswer: 11840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 6*z - 2. Let a be q(-5). Solve f + a = 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 2, s: 3, q: 2, v: 3, p: 1}. What is prob of picking 1 p and 1 q?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.267 minus -977?\nAnswer: 976.733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -11514*q. Let a(u) = -4454*u + 2. Calculate b(a(w)).\nAnswer: 51283356*w - 23028","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2116, 4224, 6330, 8434, 10536?\nAnswer: 12636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 79049.42 centuries?\nAnswer: 790494.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 404466, 3235544, 10919852, 25884006, 50554622, 87358316, 138721704, 207071402?\n\"Answer: 404436*p**3 - p**2 + 29*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -74768 take away -3206.9?\nAnswer: -71561.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q - 9. Suppose -m + 3 = 8. Let h(c) = -5*c + 14. Let n(z) = m*h(z) - 8*t(z). Let v be n(2). Let k(y) = -y**2 + 5*y - 2. What is k(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 44. Let b be (-3)\/6*(-12)\/39. Factor -2\/13*x**4 - b + 8\/13*x - 12\/13*x**2 + 8\/13*x**m.\nAnswer: -2*(x - 1)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 383 and 290313234?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1. Let t(l) = l**2 + 16*l - 4. Let k(y) = -2*m(y) - t(y). Let u be k(-13). Let v = u + 9. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25020403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2650.3 to the nearest 100.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 544 (base 10) in base 5?\nAnswer: 4134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3841 divided by 307689\nAnswer: -3841\/307689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -3\/4, -176?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 12.34, -0.5, 4\/3, -2 in descending order.\nAnswer: 12.34, 4\/3, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**4\/4 + 10*z**3\/3 + 15*z**2\/2 + 3*z + 2. List the prime factors of x(11).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -l + 28, 149*l = 154*l + 25. What is the smallest value in 3, 21, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 51910 - -5?\nAnswer: 51915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2849 by 77.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(1088) - 3*sqrt(1088) - sqrt(1088)) + sqrt(1088) - sqrt(2448)*-1).\nAnswer: -4*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235601 divided by 188.\nAnswer: 235601\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8084663 tonnes to grams.\nAnswer: 808466.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*t = j + 4, -j + 21 = 2*t. Suppose -j = -3*f - 5. Determine o so that -4 + 4*o**3 + 0*o - 5*o + 0*o**3 - 5*o - f*o**2 = 0.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-360493.\nAnswer: -108147.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -432, -435, -448, -477, -528, -607?\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 440 = 6*j. Let n = -527\/6 - j. Which is bigger: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*u - 253 = 0, 0 = -64*z + 66*z + 5*u - 229. Calculate the remainder when z is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 5. Let m = 3 - p. Suppose 5*r - 4*f - 1570 = 0, 3*r + 2*r = -m*f + 1525. What is r rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**5\/2 + 24186*u**4 - 387393*u**3 - 532488*u**2 + 4260807*u\/2 - 1234710 = 0.\nAnswer: -16140, -3, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(57)*2)\/(sqrt(48)*-2 + sqrt(48)).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 33274774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -71*r + 27. What is the remainder when t(-6) is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 230 and 1265?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 98*z**2 - 25*z**2 - 22*z**2 - 29*z**2 - 26*z**2. Let p(h) = 80*h. Give i(p(x)).\nAnswer: -25600*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 + y - 1. Let i(r) be the first derivative of 3*r**2\/2 - 53*r - 3. Let c be i(17). Give j(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -5 (c) -3 (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 6. Suppose -4*x - 12 = -m, 5*x + 25 - 3 = 3*m. Suppose 13 = 5*r - o, 2*r + 7 = -m*o - f. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 5:33 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*f - 4 = 0, -x - 3*f = -7 - 6. Let z be x\/(-8)*-4 - -4. Let n(p) = -5*p + 7. Let q(u) = -9*u + 13. Let g(o) = 7*n(o) - 4*q(o). Give g(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -602529 + (-1)\/(-3)*(-1053)\/(-39). Round d to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22984 (base 10) to base 8.\nAnswer: -54710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + -4 - (-2 - -1). What is the least common multiple of x\/((-9)\/(-39)) - -1 and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -131209 + 131208.9999931271. What is f rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13175 divided by 2635?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -765787*s**2 + 1865113*s**2 + 718564*s**2.\nAnswer: 1817890*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + q + 1. Let o(j) = 2*j**2 - 9*j + 6. Let w(g) = -g + 1. Let s be w(2). Let p(a) = s*o(a) + v(a). List the prime factors of p(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 910434 and 540918?\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**9\/504 - 11*m**7\/30 - 27*m**5\/5 + m**2 + 58. Find the third derivative of p(c) wrt c.\nAnswer: -120*c**3 - 1848*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5339 - 0.0339. Which is the third smallest value? (a) o (b) -4\/9 (c) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*v - 9. Let c be 6*(v - 0\/(-3)). Let q(y) = 2*y**2 + 7*y + 7. Is q(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 7*g**3 + 29*g**2 - 5. Let u(d) = -10*d**3 - 44*d**2 + 7. Let r(i) = 7*c(i) + 5*u(i). Factor r(y).\nAnswer: -y**2*(y + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 2. Let i be (-4)\/(-6)*(1 + 14). Let s be 1 - (4\/(-2) + -7). Solve -g*z = s + i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from izeol?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20907 * -5.\nAnswer: -104535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixbhbbxijiji. What is prob of sequence ji?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/342 and -11\/8721.\nAnswer: 17442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -149*q**2. Let s be r(-4). Let d = 1247\/637 - 9099383\/3822. Let j = d - s. What is the common denominator of 49\/12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(272)*-4*2 - (-3 + sqrt(272) + 2)))**2.\nAnswer: -1152*sqrt(17) + 352528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10261 + 29261. Round b to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(4\/15)\/(z**(-8)*z*z*z))\/(z**6*(z**(-2\/21)*z)\/z))**(19\/2) assuming z is positive.\nAnswer: z**(-1273\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.5956 + 2.264. What is w rounded to three dps?\nAnswer: -0.332","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24358 + 45029. List the prime factors of z.\nAnswer: 7, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-239095048.\nAnswer: 478190096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 10:38 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 25800*k + 25795.\nAnswer: 5*(k - 5159)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 762121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*y - 796 = 8*y - 12*y + j, -y + 2*j - 88 = 3*y for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 45*k**2 + 28*k**2 + 29*k**2 + 0 + 25*k**2.\nAnswer: 37*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -989*t - 493. Calculate the remainder when 4462 is divided by j(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -39412560?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 955, -4, 3, 5, -14, -231 in decreasing order.\nAnswer: 955, 5, 3, -4, -14, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - b = 4, 0*b = t - 5*b - 2. Suppose 0 = -4*z - t*i - 0*i - 90, -2*z - 3*i = 55. Let j = 13 - z. Calculate the least common multiple of j and 8.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6*u**2 - 5*u - 22. Let p(s) = -s**2 + s. Give -d(b) - 5*p(b).\nAnswer: -b**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*sqrt(405) + sqrt(405) + -3)**2.\nAnswer: 108*sqrt(5) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2, -2, 4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 735929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 176 = -3*l + q, -92 = -2*l + 3*q. Suppose -k = -3*k + 6. Let w = l + k. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1416, 11563, 39148, 92889, 181504, 313711?\nAnswer: 498228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**7\/2520 + l**4\/2 - 5*l**2 - l. Let w(a) be the second derivative of i(a). Suppose w(h) = 0. What is h?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -49.9, 2\/9, 0.3, 0.2, -27?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d**2 + 3*d + 8. Is 19 a factor of n(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -478 + 459 + (30 - 1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u + 19. Let a be v(10). Let j be -6 + 0 + 2 - (-17 - a). Suppose 2*g + 0*g + z = 9, 0 = g + 3*z - 7. Solve -4 = -j*k + g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**2 + 5*r**2 - 2*r**2 + 2 in the form x*r + f + q*r**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0*i + 4*q - 1006, -988 = -2*i + 5*q. Let w be 4\/2 + -5*i. Let l = -1653 - w. Round l to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-2 - -4) - 1 - 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 466 divide 164319522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3226.92383 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4121993041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21073852*q + 304 = -21073833*q for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1961*t**3 - 3730*t**3 + 1788*t**3.\nAnswer: 19*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*r - 134*r + 10 = -5*c, -r - 4*c = 21 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 = -4*s, 0 = c - s - 27. Suppose 3*l - 2*j = j, -5*j = l - c. Solve 0*n = l*o + 4*n + 8, 0 = -3*n - 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*t = -2260, -5*t - 3083 = -4*i - 818. What is the greatest common factor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjd when three letters picked without replacement from {d: 2, y: 2, g: 8, j: 6, z: 1, w: 1}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313173693 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttgttgtqoggggggt. Give prob of sequence tttt.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**2 - 1731153*v + 1731156 = 0.\nAnswer: -577052, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13577 - -135891\/10. Let h be (0 - -4)*(3 - 1). Find the common denominator of ((-26)\/(-6))\/(6\/h) and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 5*n + 3. Let q be i(3). Suppose 3*w + 30 + q = 0. Let f = -5 - w. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*m, -4*m = -n - n. Suppose -3*p + 5*z + 23 = 0, 0*p + p - 4*z - 10 = m. What is the remainder when 23 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, y: 8}. What is prob of sequence yym?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5.366 + 0.070167\nAnswer: -5.295833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 - 5*a + 5. Let k(f) = -2*f**2 + 3*f - 3. Let m(o) = 5*k(o) + 3*u(o). Let s be m(1). Is ((0 - -838)*s)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20328 + 20327. Let g(z) = -3*z - 2. Let s(q) be the first derivative of -q**2\/2 - q - 2. Let l = -4 - -6. Determine h*g(j) + l*s(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 75987 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 q(p) = -p**2 - 137*p - 1270. Let r be q(-10). Let o(b) be the first derivative of r*b - 22 + 0*b**2 - 2\/9*b**3. Factor o(h).\nAnswer: -2*h**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 57055 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -48460250 to the nearest 10000.\nAnswer: -48460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2)*(-p - p - 4*p) - p + 2*p + 0*p + (p - p + 2*p)*(-4 + 0 + 5) to c*p + n and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i**3*q**2 - 44590*i**3*q - 40*i**3 - 8529*i**2 + 2*i + 326*q**2 - 3 wrt q?\nAnswer: 2*i**3*q - 44590*i**3 + 652*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194163 is divided by 2239.\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 4:22 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -129 + 52 + 12*h + 60 as y + m*h and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 75*c**2 + 47*c + 3536. Determine p(-75).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.45183 litres in millilitres?\nAnswer: 44451.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5 - -1.2. Let x = -3.2 + 3.7. Which is the nearest to m? (a) x (b) 1\/4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.176? (a) 3\/2 (b) 3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1303 (base 4) to base 2.\nAnswer: -1110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-11 - -22*253\/264)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -87 times -789\nAnswer: 68643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457664514 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -21*m - 30*m + 79*m - 25*m. Let s(t) = 8*t. What is s(p(g))?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -543*y - 45812. Calculate v(-84).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r**2 + 45 - 45.\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -189 - 91853\nAnswer: -92042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**2 + 97*t - 127 - 2*t**3 + 10 - 101*t - 63 + 12 as i + s*t**3 + y*t + b*t**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/11 in 5, 4, 0, 0.4, -0.06?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*t + 86*t - 42*t + 11)*(-3*t - 3*t + 8*t).\nAnswer: 2*t**2 + 22*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - 1\/(-15)*49. Let l = s - -223\/120. Calculate the common denominator of l and -67\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54976 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g + 22*g + 37*g + 12*g - 12*g - 8*g**2 + 6*g**2.\nAnswer: -2*g**2 + 50*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 273521\/210 + -9126\/7. Calculate the common denominator of r and -13\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 127695 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -0.4 (c) -5 (d) -0.1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 5*q + 111, -3*q = -i + 21 + 66. Is (120\/i)\/(2\/2488) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-5)\/(-4))\/((-3)\/(-12)) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 711.2454 centuries in months?\nAnswer: 853494.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -168228, -168156, -167966, -167598, -166992, -166088?\n\"Answer: 10*j**3 - j**2 + 5*j - 168242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 2*k + 3620 - 3667, -4*z = 19*k + 72*k + 408 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k - 39 = 17 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 949*q - 3263. Let b be w(4). Solve b*k = 539*k - 54 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5)\/(98\/35)*(-48)\/(-8).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4) + (-28)\/(-8). Solve -q*h = -0*h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -0.09, -0.1, 0.3, 9\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19536 divided by 4.\nAnswer: 4884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 + 10 = 17*w. Let r be (-62)\/12 - (-1 + -1)\/12. Sort 0, r, w, -8 in increasing order.\nAnswer: -8, r, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 2256, 22.9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 13*q = 26 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1094852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 5. Let j be (-4)\/(-12) - (-58)\/(-3). Let y = p - j. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 38.96 and 17506.\nAnswer: 682033.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x - 29. Let u be q(-10). Is u > -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8528, 34099, 76716, 136379, 213088?\nAnswer: 306843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**2 + 0*g**2 - 6*g**2. Let n(k) be the second derivative of -k**7\/2520 - k**4\/4 - k. Let o(d) be the third derivative of n(d). Determine j(o(a)).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**6\/120 - z**5\/15 - z**4\/12 - z**3\/6 + 16*z**2. Determine c(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*c**5 + 170*c**4 - 230*c**3 + 120*c**2 - 5*c - 10.\nAnswer: -5*(c - 1)**4*(9*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30702616.\nAnswer: 2, 7, 67, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a century in years?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 37*o + 50. Let i be r(37). Which is the fourth biggest value? (a) 1 (b) 2\/5 (c) 0 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + (sqrt(12) - (-2*sqrt(972) + sqrt(12) - sqrt(12)) - sqrt(12)) + sqrt(12) - (sqrt(1452) - (sqrt(1452) + sqrt(1452)*-3)))\/(sqrt(64)*-4).\nAnswer: 13*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 1:57 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, i: 4, z: 3}. What is prob of sequence zii?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2160?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + 1*(sqrt(425))**2 + sqrt(17)) + ((0 + sqrt(2057) + (-1 + sqrt(17))*-4)*-6)**2.\nAnswer: 2022*sqrt(17) + 33132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 50?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533539661.\nAnswer: 533539661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36\/5*n - 2*n**2 + 56\/5 - 1\/5*n**4 + 9\/5*n**3.\nAnswer: -(n - 7)*(n - 2)**2*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -662*t**3 + 662*t**3 + 32*t**5 + (-2*t**5 - 2*t + 2*t)*(0 - 1 + 3) + 0*t**5 - t**5 + 3*t**5 + t**4 - 2*t**5 - t**4 + 3*t**5 - 2*t**5 - 4*t**5.\nAnswer: 25*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y - 83564 = -16*y. Let a = y + 19932. What is a rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-30)\/25)\/3 + 1404\/10. Suppose -10*v - o = -2000. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o - o - 2 - 3*o + (-1 - 2 + 2)*((-o + 0*o + 2*o)*(1 - 3 + 4) + o - o + o - o + 6*o - 2*o).\nAnswer: -5*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28272 by -18.\nAnswer: -4712\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 0.057 (c) 0.5 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22061168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 2:28 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -6.7. Let v = -0.9 - j. Put v, -0.2, 3\/4 in descending order.\nAnswer: 3\/4, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4\/7, 3\/4, 2 in descending order.\nAnswer: 4, 2, 3\/4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 + 22*l**2 - 28*l + 11. Is n(-10) a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 71*q**2 - q - 4. Suppose 2 = 25*f - 26*f. Is 16 a factor of k(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 + 918 = 5*u. What is the derivative of -442 - 34*z + 206 + u wrt z?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -g + 174. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 41?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170207*a + 340283*a - 891*a**2 - 170076*a.\nAnswer: -891*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*u - 76 + 12, -u + v - 18 = 0. Let z be (1\/((-4)\/u))\/5. Solve -2*j - o = 3 - z, 2*o = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -50388*o - 55. Give h(0).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -32. Let t(v) = v**2 + i*v - v - v + 5*v + 4. List the prime factors of t(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 1140*j - 46179. Give g(-42).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.71067270094 take away -1?\nAnswer: 5.71067270094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-1) + 1)\/2. Suppose o*d = -3*d + 27. What is the lowest common multiple of d and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 924 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 5562680*r + 7735852195600.\nAnswer: (r + 2781340)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23137441\/10388565 + 68\/62961. Let i = 25\/11 - m. Is 1 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19166957?\nAnswer: 19166957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38548 a multiple of 419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-1) + 1*37. Suppose 3*b = -2*y + u, -3*y - 21 = -b - b. Suppose 4*s - 8 + 0 = 0. What is the lowest common multiple of s and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19303? (a) -4 (b) 0.3 (c) -3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 38 = -5*p + 52, -2*v - 10 = 0. Let l(m) = m**3 - 7*m**2 + 7*m - 1. Let g be l(6). Calculate the greatest common factor of g and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538 a factor of 672634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -1175*o**2 + 222073*o - 236. Calculate x(189).\nAnswer: -614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 78, 134, 208?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32753 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35237, 4, 5, 156, 0, -3 in descending order.\nAnswer: 156, 5, 4, 0, -3, -35237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146589717.\nAnswer: 3, 48863239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103212698?\nAnswer: 2, 51606349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/27 - 10\/27. Let z = 4 + -6.1. Let h = -0.1 - z. Which is the closest to p? (a) h (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l = 2*t + 1823, -5*t = 4*l - 2400. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -5. Sort v, 2, -3.\nAnswer: -3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 16 = -u + r, -3*u = 2*r - 28. Suppose 0 = 4*t - 5*z - 275, 4*z - 77 = -t + u*z. Calculate the greatest common factor of t and 195.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*b = -z + 2, 5*z - 20 = -5*b. Suppose 12 - 74*o**z + 71*o**2 + 0*o - 9*o = 0. What is o?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*((-32)\/(-48))\/(1\/(-3)). Let x(j) = 6*j**3 + 122*j**2 - k*j**3 - 128*j**2 - 2 + j. Let z(d) = -5*d**3 + 7*d**2 - 2*d + 3. Give -3*x(g) - 2*z(g).\nAnswer: -2*g**3 + 4*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1)*p**(-3)*p**(1\/2)*p*p**1\/p assuming p is positive.\nAnswer: p**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 11, 5, -1, -7, -13?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -15412500 (base 6) to base 16\nAnswer: -855b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -51*z - 16. Let g be s(-7). Suppose 3*j - 323 = -4*u, -4*u + 3*j + g = -0*u. Is 9 a factor of 1\/(-4) + (-5)\/(-20) + u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 2. Let s be (-36)\/(-5) - (-1)\/(-5). Let l(q) = -q**3 - s + 7. Let d(b) = a(b) - 2*l(b). Differentiate d(v) wrt v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52072*o**3 + 2584*o - 5.\nAnswer: -312432*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.008286s to nanoseconds.\nAnswer: 8008286000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**2 + 108*o + 729 = 0.\nAnswer: -27, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 5\/3, -0.1, -44, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104.789 - 112.17. Let j = t - 0.019. Let i = j - -7.349. What is i rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0. Let l = 1260 - 1860. Let y = l + 600.2. What is the nearest to 1 in y, v, 0.01?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2558 - 2439. Suppose 4*f - o - 204 = 0, -3*f - o = -2*f - 51. What is the greatest common divisor of u and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 9:02 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 14*h + 5. Let a be g(14). Suppose 3*r - 36 = -2*v, -a*v + 72 = -v + 4*r. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6484 = -508*m + 4862 - 13618 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.5, -0.06, 124\/7, -0.3?\nAnswer: 124\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 456*m - 7117. Is i(19) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 183344, 366662, 549980, 733298?\n\"Answer: 183318*z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2*2\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -7, 1, -4.\nAnswer: -7, -6, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 614979 and 614977 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3 - 3 + 1 - 2*j. Let f(n) = -2*n. Give x(f(c)).\nAnswer: 4*c - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19.1 + -19.702. Let y = u + 0.52. Round y to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3405 - 60585.\nAnswer: -57180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*c - 4*h = -15, -25 = -5*c + 3*h. Let f(m) = -5*m**2 - 4. Let g(t) = 3*t - 3*t - 5 - 6*t**2. What is c*f(r) - 4*g(r)?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1414, -12130, -22846?\nAnswer: -33562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*sqrt(68)*-2*6)\/(3*sqrt(20)\/sqrt(5) - (sqrt(16)\/(sqrt(16)\/sqrt(4) + sqrt(4)) + sqrt(4))).\nAnswer: 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1041.57 and 0.\nAnswer: -1041.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 816 + -816. Solve 11 = 5*f - b, s = -5*f - 4*b - 6 + 37 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 * 0.01239\nAnswer: 1.38768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -805 - -801. What is the nearest to -51 in x, 8, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-6)*l)\/l*l)\/(l\/l**4*l)*l**(-3\/4)*l*l\/(l**(-1\/3)*l)*l assuming l is positive.\nAnswer: l**(-17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-275 + 275 + 3*u + (2 - 4 + 1)*(u + 0*u + 0*u) + 9*u + u - 25*u)*(2*u - 2 + 2) in the form l + d*u + s*u**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 593858*0.1\nAnswer: 59385.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11705*l + 12329*l - 2496 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*j + 3*j. Suppose 5*x + x = -6. Let u = x + j. Solve 4*t = h - 2, u = 2*h + t - 2*t - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from llklllkklklkl?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fymw when four letters picked without replacement from {y: 3, m: 1, f: 2, w: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/875612 and -91\/876.\nAnswer: 191759028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10583.93 * 5.17\nAnswer: -54718.9181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 383011 plus -12661788?\nAnswer: -12278777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 0*a + 0*a**5 + 0*a**4 - 29 + 0*a**3 - 59\/6*a**6 + 19*a**2. What is the second derivative of o(w) wrt w?\nAnswer: -1180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 = 2*q + 6, 2*n = 10. Calculate the lowest common multiple of 800 and 24 - 5*q\/(-5).\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/12744760 and -113\/80.\nAnswer: 25489520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2148 * 0.3\nAnswer: 0.06444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 971.113mg?\nAnswer: 0.971113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61 or -54?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k - 8. Suppose -7*s + 40 = -2*s. Let u be h(s). Solve -4 = 2*c - u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 884550.\nAnswer: 2, 3, 5, 5897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2814 and 504510?\nAnswer: 3531570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*t - 1 = 0, -y - y = -4*t + 8. Suppose -3*s + 8*s + y*q = 79, 5*s = q + 73. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2625, 2554, 2459, 2358, 2269?\n\"Answer: 3*s**3 - 30*s**2 - 2*s + 2654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/2*(6 - 4). Suppose -16 = -s*x - 8. Let m = 3 - 1. What is the remainder when m is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a1 - -224?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-344)\/860)\/(68\/(-10))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 172*o**2 - 4*o - 4*o**2.\nAnswer: -176*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.4 (b) -40 (c) 0 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84.6 + 81.6. Let t = -2 - -4. Which is the closest to -2? (a) t (b) s (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (6 - (-87 - -37)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274496166.\nAnswer: 2, 3, 7, 2178541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2. Let p(m) be the first derivative of -8 + 3\/2*m**2 + 0*m. Determine p(z(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 605635*r*t**4 - 6*r*t**3 + 5*r*t**2 + 1082*r - 2293*t**2 - t - 2 wrt t.\nAnswer: 14535240*r*t - 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46057, 45961, 45867, 45775?\nAnswer: 45685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 41455, -2 in decreasing order.\nAnswer: 41455, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 22*k**2 - 9*k - 27. Let z(f) = 5*f**2 - 2*f - 6. Let d(h) = 4*y(h) - 18*z(h). Let j(i) = 3*i - 135. Calculate j(d(w)).\nAnswer: -6*w**2 - 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 71 = 50 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 1 = -16*q + 21*q, 4*t + 3*q = -9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37788?\nAnswer: 2, 3, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 0 + 2. Let a = w - -2. Let f = 5 + a. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -6*h + 32. Suppose 2*k - x = h*k - 2, -4*k = 3*x - 4. Does 17 divide 55*k + (3 - 4) + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 11 = -43. Is o\/(-14) + (-5545)\/(-35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 0.21 (c) 2\/29 (d) 1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7016873l?\nAnswer: 701.6873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 10*o + 10. Let t be l(9). Let u be ((-1)\/1 + t)*1. Suppose 5*b - 264988 = 3*a, u*b - 3*a = -b + 52988. Round b to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 + 5*f**3 - 4*f**3 + 100.\nAnswer: f**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -11593224?\nAnswer: 3477967.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1006*x**5 - 23*x**2.\nAnswer: -60360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 17.8. Let b = 0.3 - w. Put 3, b, 0.5 in increasing order.\nAnswer: b, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/243 and 37\/1826840.\nAnswer: 443922120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/21 of a week?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.66365 * 0.2\nAnswer: -0.13273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -631596 at most -631558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*r + 9 + 3, 2*r + 2*w - 8 = 0. Suppose 0 = 2*v + n - 318, r*n - n - 795 = -5*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3555532 + 3?\nAnswer: 3555535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-4 + (-5 + sqrt(117) + 0)*-4)*-4)**2.\nAnswer: -24576*sqrt(13) + 136192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22.5 - 18.5. What is the nearest to 0.1 in 1\/6, d, -5, 15?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b*i**3 - 112*b*i**2*p - 2*b*i*x - 2*i**3*p*x - 3*i**3*p + 25*i**2*x wrt b.\nAnswer: 4*i**3 - 112*i**2*p - 2*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 7*p**4\/24 - 8*p**2. Let b be ((-30)\/(-12))\/(-1 - (-49)\/84). Calculate l(b).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48.977 - -49. Let b = -19.977 - c. Let z = b + 20.32. What is z rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8 = i. Let s be (-13)\/(468\/27) + (4 + -9)\/(-60). Put -2, -0.1, i, s in ascending order.\nAnswer: -2, s, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*a - 12. Suppose -2*g + 4 = 0, 3*p + 0*p = a*g - 2. Solve 4*b + 18 = -v, -5*b - 33 = -p*v - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180 (base 14) to base 3\nAnswer: 102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 5*u + 52, 4*u - 7 = -3*z + 1. Let f be (-2)\/(-3) + z\/6. Solve -3*d = f*d + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 295, -413, -1615, -3317, -5525, -8245, -11483?\n\"Answer: -a**3 - 241*a**2 + 22*a + 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -187\/6 + 31. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q - 1. Suppose -71 = -q*v + 4. Suppose 4*h = 7*h - v. Solve 2*b = c, h*c + 4*b - 22 = 3*b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005587 times 15?\nAnswer: 0.083805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/259 and 111\/10.\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(325) + -1 + 3)*-6.\nAnswer: -30*sqrt(13) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, 0, 1 in decreasing order.\nAnswer: 1, 0, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 400*d**4 - 260*d**3\/3 - 148*d**2 - 36*d + 6400. Factor r(p).\nAnswer: 4*(5*p + 1)**2*(16*p - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u**2 + 3*u + 5. Let o(i) = -7*i**2 + 4*i + 5. Let f(c) = -4*g(c) + 3*o(c). Find the first derivative of f(n) wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 41*f**2 + 341*f + 19. Calculate h(48).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -406*w + 402*w + 12. What is the remainder when 354 is divided by ((-42)\/(-8) - w)*68\/3?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-seven halves of a millimeter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4 = -3*l + 40, -4*l = 0. Suppose -p + 5*p = v. Calculate the smallest common multiple of p and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 1312623\nAnswer: 2625246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 15470*g + 1302160.\nAnswer: -5*(g - 82)*(g + 3176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (30\/24)\/(2\/8). Let b(k) = k - 11. Let o be b(8). Let x be 2 + (-3)\/(o\/2). Solve 2*c - 2*s - 7 = 3*c, -c = -x*s - w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 4*q - 2. Let z(k) = k**3 - 4*k**2 + 3*k - 1. Let s be z(2). Let i(m) = m**2 + 5*m - 2. Let v(y) = s*a(y) + 2*i(y). Calculate v(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 1\/15 (c) -121 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*(sqrt(19)*-2 + 2 + (sqrt(19) - (sqrt(304) + 0)) + sqrt(19)))**2.\nAnswer: -64*sqrt(19) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1\/2, 7, -2\/21 in decreasing order.\nAnswer: 7, 1\/2, 0.3, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2 - 3*u**3 - 13\/2*u**2 - 6*u - 1\/2*u**4 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/16)\/(-5*(-12)\/40)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-97*n + 41*n + 40*n)*(2286*n**2 - 2286*n**2 - 64*n**3) in the form l*n + v + c*n**3 + y*n**4 + s*n**2 and give y.\nAnswer: 1024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 4*p + 1. Let m be r(4). Let c(g) = -6*g**2 + 19*g - 2. Let s be c(3). Let l be -1*(-3)\/(s + 0). Solve -a - l + m = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m - 4. Determine j(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1597.60484 to one dp.\nAnswer: -1597.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -29467, -117214, -263459, -468202, -731443, -1053182, -1433419?\n\"Answer: -29249*y**2 - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 3*k = -0 - 3, 4*k - 66 = 22*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 65320*n*s**4 + n*s**2 + 21*n + 8075 wrt s.\nAnswer: 261280*n*s**3 + 2*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 1, e: 1, y: 2}. Give prob of sequence ie.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g - 1. Let z(y) = -560*y + 140. What is 560*t(k) + 4*z(k)?\nAnswer: 560*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10546 + 34620. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*o = -4342588 - 11842412. What is o rounded to the nearest ten thousand?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 8473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 845 + -32. Let f = -808 + q. Which is the nearest to 1? (a) 0 (b) f (c) -1\/2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5942*j - 6468*j - 5951*j + 18359*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -196, 6, -2, 15 in increasing order.\nAnswer: -196, -2, -1, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7 = 3. What is the smallest common multiple of 22 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d**2 - 17*d - 3. Let c be u(-3). Let b be ((-81)\/(-198))\/(c\/(-11)). Determine m, given that 0*m**2 + 0 - 3\/4*m**3 + b*m = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 5*n + 895. Let r be f(0). Suppose r = -0*d + d + 4*x, -2*x - 8 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2017 a factor of 176731557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/9*j**4 + 0*j + 2\/3*j**3 + 8\/9*j**2.\nAnswer: -2*j**2*(j - 4)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 945687 and 1880.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 + 7*i**2 + 4*i - 8. Is l(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 15*t + 82. Calculate i(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, u: 9, z: 1, g: 1}. What is prob of sequence iz?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 326 and 159533642.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 + 178. Let a(k) = -k**2. Determine z(a(l)).\nAnswer: -2*l**4 + 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211, 418, 621, 820, 1015, 1206?\nAnswer: 1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 24*i - 25*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 16) + (-52 - (-21 - (54 - 35)))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (sqrt(294) - (sqrt(294) + sqrt(294) + (sqrt(294) + sqrt(294)*-2 - sqrt(294))))\/(5*sqrt(3)*1)).\nAnswer: -21*sqrt(2)\/5 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 20*b**2 + 2*b + 1. Let k be m(-1). Let i(j) = j - 162 + k*j + 162. Let r(d) = -d**2. What is r(i(q))?\nAnswer: -400*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 16983 = 18*f. Find the first derivative of f - 108*t - 32*t - 1088 + 4*t wrt t.\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -9190*z**2 + 2. Let x(a) = 9181*a**2 - 3. Calculate 3*d(v) + 2*x(v).\nAnswer: -9208*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/d**(2\/39)))\/(d\/(d\/d**(1\/13))))\/(d*d**(-5\/4)*d*d**4\/d))**34 assuming d is positive.\nAnswer: d**(-10013\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**5\/60 + 3*h**4\/8 - h**3\/6 + h**2. Let f(k) = -4*k - 1. Let v be f(1). Let u(p) = -4*p. Calculate v*u(i) - 2*j(i).\nAnswer: 2*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1026*w - 33011 - 8864 - 12503 for w.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -435284, -870109, -1304932, -1739753, -2174572?\nAnswer: -2609389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**3 + k**2 - k - 3. Let d be i(0). Sort -4, 4, 1, d, -16 in decreasing order.\nAnswer: 4, 1, d, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001360431194 to 7 dps.\nAnswer: -0.0013604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000254905 rounded to 6 decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 + 2570*h - 39225. What is j(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20233?\nAnswer: 20233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 bigger than 3305329\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 6:43 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**6\/120 - 7*p**5\/20 - 15*p**4\/8 + 29*p**3\/6 + 2*p - 38. Let s(g) be the second derivative of r(g). Factor s(c).\nAnswer: 3*(c - 15)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2 = -4*s. Suppose -j = 3*v + 15, 3*v = 5*j + s*v - 5. Solve 2*q + j + 6 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90391313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 218341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**3 - 2*f + 3*f**3 + 1 - 5*f**3 + f**2 + 4*f to t*f + b*f**2 + l*f**3 + k and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -769aa9 + -6?\nAnswer: -769ab1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y = -11*y - 2971600. What is y rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1422395)\/49029 + (-28)\/(-2478).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3326 - -3325.9. Is 427 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h + 2. Suppose 25 = 6*y - y. Let s(v) = 12*v + 3 - y*v + 1. Determine 5*i(r) - 3*s(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 3*d + 1191461 - 1191412, i - 3 = 2*d - 19 - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 + 3*k + 9*k - 11*k - 77 + (3*k - 3*k + k)*(0*k + 0*k + 2*k) + (2*k + 0 + 0)*(-4*k + 5*k + 0*k) - 12*k**2 + 8*k**2 - 9*k**2.\nAnswer: -12*k**2 + k - 77","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/6))**(-3\/4))**(11\/7) assuming w is positive.\nAnswer: w**(-55\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47515 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1097565 - 1097565 + 3675*u**3 - 2020*u**2 wrt u?\nAnswer: 22050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -17, -5, -1 in increasing order.\nAnswer: -17, -5, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3171356 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47849834939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2293920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 536.4241g to tonnes.\nAnswer: 0.0005364241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 1964282?\nAnswer: 1964282.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 891 = 172*q - 71 - 586 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047608465872 + 0.49?\nAnswer: 0.442391534128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(-2566 - 17287*q + 7697 - 2567 - 2563).\nAnswer: 17287*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1546343.6 and 0.5.\nAnswer: 773171.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + sqrt(14)\/sqrt(7))*-4)**2 + -5.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 7*t - 2. Suppose 69 = -5*b + 14. Let m(f) = 5 - 5 - 20*f + 6. What is b*i(q) - 4*m(q)?\nAnswer: 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.605 - 0.625. Which is the second smallest value? (a) r (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 111000101010001010?\nAnswer: -111000101010001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.54974 (b) 0.2 (c) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/11 + -243*20\/(-5940))\/((-77)\/140)?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 4 = 4*q + 4*n, 4*q = -n + 1. Suppose q = 2*g - 5*p - 197 - 141, 3*g - 507 = -3*p. Is g a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6754308, -6754306, -6754304?\nAnswer: -6754302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/((-414)\/(-4)) - (-1 - -9 - (-94316)\/(-3358))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 5*o**4\/4 - 2*o - 5. Differentiate i(b) wrt b.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + b - 21 + 22 + 27 in the form y + d*b and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2070 is divided by 148?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 0*r + 2*r - 291*r**2 + 297*r**2 - 2*r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (375\/(-30) - -10)*(-2 + 0). Solve 5*k = -y - 10, 2*k - p*y + 7*y = -12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4190032223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 5*w - 32 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/72 - 52\/9. Let k = 16 - u. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxxfxdxxfxdffxxm. Give prob of sequence dmd.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - 4) + 37 - 88?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*c - 4916, 14*m + 6148 = 19*m - c. List the prime factors of m.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*j**4 + 3*j**3 + 184432*j**2 - 5*j + 731446.\nAnswer: 156*j**2 + 18*j + 368864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) -4239 (c) 0.5 (d) -3\/8 (e) -0.4 (f) -0.0504\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1805 - -1860. Let a(d) = d**2 - d + 5. Let v be a(-6). Let u = v + m. What are the prime factors of u?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 94999*v + 2. Let n be r(2). Round n to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3462368?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97 - -214. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*b - 19. Let s be (-1098)\/36 + (-3)\/b. What is the common denominator of -53\/3 and (9\/s)\/((-1)\/(-36))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -223 + 219 - 301\/(-1). Solve 300*l + 24 = x*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9\/1250 + -391\/123750. Let a be (4\/(-550))\/(18\/(-1970)). Let r = w + a. Is r >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 33*j - 30*j. Let i be 2\/11 - 138\/j. Sort 0, i, 5 in increasing order.\nAnswer: i, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105638941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -212 + -21a?\nAnswer: -42c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -18, -54, -112, -198, -318, -478?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 2\/(0 - 2). Suppose 5*i - 11 = -z. Suppose -2*w - l = -6, -i*w - 4 = 4*l - 16. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-18) - -13*(-7)\/1170.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a factor of 91884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-26 - -7) + 12 + (-19 - 1).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.11 + 1.11. Which is greater: u or 430?\nAnswer: 430","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 3*v. Let a be f(-3). Suppose -c - 4*x + 4 = -a*c, 4*c + 3*x - 29 = 0. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 9) + 6 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4409595*b**3 - 8819190*b**3 + 4409594*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 9. Let u be y(-7). Suppose -3*l + u = -l. What are the prime factors of l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 smaller than -52264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 2*y + 0*y)*(-22*y**2 + 57*y**2 - 32*y - 56*y) - y**3 + 2*y**3 + 0*y**3 + (0*y + 4*y - 2*y)*(2*y**2 - 3*y**2 + 3*y**2).\nAnswer: -30*y**3 + 88*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-586)\/66) + 16\/88.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -15. Let t(s) = 49*s**2 - 13. Let f(j) = -12*j**2 + 3. Give u*t(p) + 9*f(p).\nAnswer: -10*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -467\/2 (b) -4\/7 (c) 0.12 (d) -1\/4 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2339 divided by -62831.\nAnswer: -2339\/62831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -364 (base 7) to base 11\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 22 + 92. Let m = 131 + -37. Suppose 4*i = 5*w - m, -3*w = -5*w + 2*i + c. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -103260, -206439, -309618, -412797, -515976?\n\"Answer: -103179*a - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 9:54 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16176\/(-308))\/2 - (-26)\/(-91). Is z > -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -8*c**3 + 318*c**2 - 17*c + 25. List the prime factors of q(39).\nAnswer: 2, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 5 + 10. Suppose -k = -2*k - 4*q + 7, 3*q = 2*k - g. Factor 0*j**3 - j**4 - 3*j**2 - 4*j**3 + j**k - j.\nAnswer: -j*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*j - 22, 0 = 4*u + j - 3 - 10. Is u bigger than 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x + 54*x - 94*x in the form z*x + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.027 * 208.362\nAnswer: -5.625774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 1)\/4 - (-74)\/4. Let w be 6\/(x\/25) + 12\/(-4). Let w - 8\/3*o + 1\/3*o**2 = 0. Calculate o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 greater than 84943633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**4 + 0*p**3 - 2*p**3 - 449 + 585 - 2*p**2 to u*p**3 + x*p**4 + o*p + j + c*p**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*c - 82, -3*b + 6*b - 6 = 0. Is -21 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q = 189 + 189 - 126 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f + 60. Let d be b(-20). Let g(t) = -t**2 + 22*t - 51. Let i be g(d). Is -120\/11 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 4\/5, -1, -4\/11, 10, 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*p + 3*p = 2660. Solve 4*d + 10*d = -p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 20*m**3\/3 + m**2 - 2*m + 21. What are the prime factors of n(2)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -37948ba + 41?\nAnswer: -3794879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in -2, 122, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46.79 - 47. Let v = 27.21 + b. Let o = -33.2 + v. What is o rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**4 + 2*p**4 + 0*p**4)*(11 + 26 + 16 + 12) to i*p + z*p**3 + o*p**2 + f + m*p**4 and give m.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*o = 34, -24*p - 42 = -20*p + o. Which is greater: p or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-7 + 2 + 2)*(2*i + 0*i - 3*i) - 4*i - 3*i + 8*i)*(35 + 35 + 35) as p*i + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/(-28) - (-3)\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.94 - 0.06. Suppose 4*h = -5*g - 58, 370*g = 374*g - h + 17. What is the closest to 0 in g, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*u, -5*u + 44 = -4*x + 21 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6223*m**3 - 2*m + 57994 wrt m?\nAnswer: 18669*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -341 - -328.12. Let d = -15.68 + 15.8. Let y = v - d. Which is the second smallest value? (a) -2\/21 (b) -2\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -451 + 16159. What is the thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 758947 is divided by 132.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -97, -130, -147, -142, -109?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*r + 87, r + 0*r + 2*w - 28 = 0. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 52252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 45574.\nAnswer: 546888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.7, -0.05, 17, 1\/2, 1.1 in ascending order.\nAnswer: -0.7, -0.05, 0.2, 1\/2, 1.1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/3)\/(-5 + 7). Let b be (-4)\/4 + 4 - f. Solve b - 2 = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*i - 0*i. What is the highest common factor of 110 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -184 + 331270790.\nAnswer: 331270606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 2, c: 1, s: 1, z: 3, r: 12}. Give prob of picking 1 z and 1 g.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1819399 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 94795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 3:28 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 624 divide 3490032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8*(-2 - (-17)\/2). Let f be 580\/44 + (-2)\/11. Calculate the highest common divisor of f and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Let l = 0 + x. Solve -24 = u - 5*s, -4*s - l + 18 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23589792 divided by 7863264.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 40*o**2 - 26*o + 508. Suppose -5*b - 25 = 0, 2*w = -0*b + 5*b + 27. What is the least common multiple of w and a(-39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v + 8. Let c be i(11). Let t = c + 36. Calculate the remainder when 0 + -4 + t + 31 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -17. Calculate the remainder when b is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6914 (base 11) to base 14.\nAnswer: 3454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*q + 18 = 65*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {j: 3, a: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 11*t + 62. Let p be u(-5). Let r be 9*-1*(p - -15). Does r = 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + s - s)*(-1 - 1 - 3*s + s) - 4*s**2 - 5 + 5.\nAnswer: -8*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2*6 - 1. Solve -i - 2 = -b - 4*b, -8 = 4*i + n*b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -53 and -27751?\nAnswer: 1470803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253805 to the power of 1\/2, to the nearest integer?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 36. What is the remainder when (3 + -120)*(5 - 6) is divided by l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -11. Let v = x + -12. Let f = -37 - -40. What is the closest to v in 5, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200659649?\nAnswer: 59, 3401011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 151 - -284?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*m - 7, 0 = 5*u - 8*m + 3*m - 20. Let l be 2 + (-26)\/8 - u\/(-4). Calculate the common denominator of 12\/((-4)\/l) - 97\/4 and 13\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + t - 4. Let i = -20 - -24. Suppose 17 - 17 - 2*u**3 - i*u + 6*u**t = 0. Calculate u.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56695358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 169461 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w + 35. Let p be m(-8). Is -5 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-49)*49)\/(3 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -23, -37?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 15*h - 6*h)*(0*h - h + 0*h + (-3 + h + 3)*(-3 + 3 - 1) - h - 4*h + 3*h - 6*h + 4*h + 0*h + 0*h + 155 - 157 - h) + h**2 - 2*h**2 - 3*h**2 + h.\nAnswer: 101*h**2 + 31*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 106.379 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 32 = 2*m. Calculate the remainder when 233 is divided by 2 - -1 - (-1)\/(m\/60).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 9522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q + 0*q + 1)*(5 - 3 - 1)*(15*q**3 - 29*q**3 + 5*q**3).\nAnswer: 9*q**4 - 9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(3\/(-9) + 0) + 2. Suppose -w = d - 3, 9 = 4*d + 5*w - 4. Suppose 13 = z*r - d. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6404877461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 7. Let t be -1 - (-3)\/(6\/g). Let d(y) = y**3 + 7*y**2 - 3*y - 6. Let x be d(-7). Solve t*h = -3*h - x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 5*f - 1794 - 1046, 3*p - f = 2149. What is the greatest common divisor of 130 and p?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1058)\/((-92)\/(-4)))\/2.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7264988, 14529977, 21794966, 29059955?\n\"Answer: 7264989*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 42.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15461*h**4 + 4*h**3*s**2 + h**2 + 162314*h*s**2 - 129*s**2 wrt h.\nAnswer: 185532*h**2 + 24*h*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Solve -3*x + g - 9 = 0, g = -4 + 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/4)\/v)**(-2\/41) assuming v is positive.\nAnswer: v**(5\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, o: 7, x: 3, r: 5, l: 2, b: 1}. Give prob of picking 1 b and 2 l.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from ttihtjttiigtg?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -212*m**2 - 102*m - 2100 - 82*m**4 + 2316 + 35*m**4 + 104*m**3 + 43*m**4 - 2*m**5 = 0. What is m?\nAnswer: -9, -1, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1104)\/(-460))\/((40\/25)\/(-8))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 114088774120357+0.08\nAnswer: 114088774120357.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.981 and 22.606.\nAnswer: 248.236486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136996 is divided by 177?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q + 12 - 14 + 1 in the form m + r*q and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1643686*k**3 + 1643684*k**3 - 3287350*k**3.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - r**2 - 2*r + 3. Let z be t(0). Solve -g = z*g - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 7 + 1 + 0. Differentiate -6*r**2 + 0*r**2 + 6 + a - 12 wrt r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -341535013 (base 6) to base 9.\nAnswer: -12674140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-9)\/(-6) - 2). Factor -3*t**2 + 0*t**4 + 0*t**5 - 3*t**3 - t**5 + m*t**2 - 3*t**4.\nAnswer: -t**2*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -9*n + 579. Let w be h(64). Sort 1, w, 7 in descending order.\nAnswer: 7, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -44?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (10 - 2) - -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*v**5 - 2076*v**4 + 2076*v**4)*(3 + 9 - 21).\nAnswer: 540*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 512 = 133. Suppose -2*b = 2*v - 78, 2*v + 108 = -156*b + 160*b. What is the remainder when c is divided by b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34591, 34454, 34321, 34192, 34067?\nAnswer: 33946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 8*g - 9. Give n(10).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2 - 6\/(-4)). Suppose 3*k - j = 5, 3*j = -4*k - 0*k - l. Let i = -158 - -1739\/11. Which is bigger: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 22.87326ml?\nAnswer: 0.02287326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 2 (c) -4\/3913 (d) 5 (e) 8\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4568029 to the power of 1\/2, to the nearest integer?\nAnswer: 2137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10535.\nAnswer: 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2848 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*i - 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99 or 7.3?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*r*r**(-2\/5)*r)\/r))**(-6)\/(r*r**(-1\/2))**(-1\/15))\/((r**5\/(r\/(r*(r**(1\/10)*r)\/r)))\/((r\/(r\/r**(-5)))\/r**(-3))) assuming r is positive.\nAnswer: r**(-52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -7 + 10 + (-521 - -504).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3 - 8\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 11:17 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 873932548.\nAnswer: 2, 41, 5328857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in 2, 2\/11, 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzfrzazzz. Give prob of sequence zr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 2\/11, -1 in descending order.\nAnswer: 19, 2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 15\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -63*f + 64*f - 5*t, 0 = f + t + 5 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-2\/29))\/(u**(1\/5)\/u))\/((u\/(u*u\/(u*(u**8\/u*u)\/u)))\/(u**(-2\/5)\/u)) assuming u is positive.\nAnswer: u**(-947\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 - 15*y - 18 - 2*y**2 - 13 + y**3 to w*y**2 + s*y**3 + k + u*y and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.033914 to four decimal places.\nAnswer: -0.0339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00065960709 rounded to 7 decimal places?\nAnswer: -0.0006596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77 - -39. Let c be 24\/7*(-532)\/x. Suppose c = -2*s + 142. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 5, -86, -225, -418, -671, -990?\nAnswer: -1381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22153037 to the power of 1\/3, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9295 and 0.41358.\nAnswer: -3844.2261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 203*s**4 - 214*s**4 - 326*s**2 - 31*s**3 - 1584*s**2 - 1 wrt s?\nAnswer: -264*s - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 18*f + 40. What is m(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (64\/60)\/((-60)\/(-75)). Factor 2\/3 + f*j**2 - 5\/3*j - 1\/3*j**3.\nAnswer: -(j - 2)*(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 13565240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008683 rounded to seven dps?\nAnswer: 0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21382081 divided by -436369.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 273.9668l in millilitres?\nAnswer: 273966.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h, 5*h - 8 - 2 = -5*y. Let w(o) = -y*o + o + 4 + 3*o. Let q be 2\/12 - 38*(-2)\/(-24). Calculate w(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14571*f - 14686*f + 5081 + 2854 for f.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 98*u**3 - 7*u**2 + 7*u. Let h(s) = -33*s**3 + 2*s**2 - 2*s. Determine -7*h(f) - 2*x(f).\nAnswer: 35*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**5\/60 - 3*u**4\/8 + u**3 - 203*u**2. Suppose 2*q = 3*d + 17, -3*q = 2*q + 10. Let z = 14 + d. Determine x(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i + 24. Let z be k(-12). Solve -3*v - 2*v + 10 = z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 30*k**2 + 32*k - 5. Determine o(31).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84.148 - 0.148. Let k = 84.000059 - y. What is k rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00069495 rounded to five dps?\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1707.627t to micrograms.\nAnswer: 1707627000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w = -60. Suppose -w*y = -11*y - 1. Which is the fourth biggest value? (a) -5 (b) y (c) -1\/3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 502*l + 502. Calculate x(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5656 (base 14) to base 7.\nAnswer: -61436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -433 + 671. Let s be (-42)\/(2\/(-17) - 329\/p). Let v = 3 - -1. Solve d + 0*d = -3*j - 17, -v*d = 2*j + s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2\/5 (b) -3\/2 (c) -3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10310880959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/63 and 169\/42?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 385 + -390. Which is smaller: -33 or j?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 + 0*k**2 - 2*k**2 + (8*k - 19*k - 11*k)*(-k + 14*k + k) as p*k + x*k**2 + z and give x.\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 4*z - 5*z = -12, -j - 12 = 4*z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.08, -8, 1877, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-10 - 5) - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1022 (base 15) to base 14\nAnswer: -1355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1469 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 519873388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 102*h - 881. Calculate a(-110).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 131079905 at most 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 66415 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-24) + (-1696)\/(-24)*(-2)\/(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.002, -11, -3\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 1652588.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9d3 + -25?\nAnswer: 9ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*36.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44455 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*h - 604, 3*i - 257 = -3*h + 97. Suppose 0 = 2*t - s - 858 + h, 0 = -s. What are the prime factors of t?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (1 - 1))\/(2\/4). Let z(l) be the second derivative of -1\/12*l**4 + 0*l**3 + 0 + 3*l - 5\/2*l**g. Determine z(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0 + -11 - -6 - 17 - 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 0 + 19*z**2 + 3\/20*z**5 + 1\/10*z**7 + 0*z**6 + 0*z + 0*z**3 + 0*z**4. What is the third derivative of w(v) wrt v?\nAnswer: 504*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/45 - 1) + 955\/25 + 8?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17688 - 123807\/7. Factor 0 - 15\/7*u**2 - 1\/7*u**4 + k*u + u**3.\nAnswer: -u*(u - 3)**2*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -29\/2. Let g(o) = -3*o - 2. Let w(t) = -16*t - 9. Let f(l) = -11*g(l) + 2*w(l). Let x be f(-5). Which is bigger: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10310 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54434367 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -639, -1276, -1913, -2550, -3187, -3824?\nAnswer: -4461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41273243 + 41273252.7999917. Let d = t + -9.8. What is d rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/36 and 23\/336?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15, -2, 33, 102, 217, 390, 633?\n\"Answer: 2*u**3 - u**2 + 2*u - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 1:30 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287191 is divided by 95715?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 118929048 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 4. Suppose -c + 5 = -d. Solve -4*k + 1 = -c*o - 9, -5*o - 10 = -5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -1124*p + 5613. What is v(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.088 + -0.013. Round w to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -3)*(-45)\/(-5)*-1. Let l = 13 - x. Solve 3*s + 0 = -4*h - 23, -l*h + 2*s + 2 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12250, 24499, 36748, 48997?\nAnswer: 61246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -92\/59?\nAnswer: -92\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.745, 4, -20, -1, -0.5.\nAnswer: -20, -1, -0.5, 0.745, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 128 = -3*p, -66 = 4*p + 4*u + 110. What are the prime factors of 16\/(-6)*822\/p*6?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -285, 33, 0.4, -3, 10.\nAnswer: -285, -3, 0.4, 4, 10, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z**(-11)*z))\/(z\/z**(-2)) assuming z is positive.\nAnswer: z**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6880515*s**2*v**3 + 2*s**2*v**2 + s**2*v + s**2 + 424*s*v - 11*s + 27*v - 4 wrt v.\nAnswer: -41283090*s**2*v + 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 513905*t**3 + 30 - 11 - 513904*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 16 = 4*l, q = 5*q - 3*l - 7. Let z be (3\/9)\/((q\/(-300))\/(-1)). Let y = 40 - z. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -853 - -1526. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 18 = r. Suppose f - r = -f. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 1\/9, -20, -0.22, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 11:18 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*p + 20*p. Solve p = 4*r + 2*r - 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25288482 rounded to the nearest 10000?\nAnswer: -25290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 114428?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millisecond in microseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -2. Suppose -4 = 2*u - 4*u. Suppose -q - u*q = 9. Sort o, q, 3 in decreasing order.\nAnswer: o, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7*n**2 + 72*n + 15. Determine z(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7*h. Does 14 divide m(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, 3, -57.514, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + l + 2. Let s be b(3). Let z(o) = 7*o - 15. Let g be z(-6). Is 25 a factor of 48\/9*g\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 219 = -4*t + 201, 5*p - 490 = -5*t. Let o = t - 485\/4. Which is greater: -18 or o?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17649 and 3180?\nAnswer: 352980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, b: 3, c: 3, n: 2}. Give prob of sequence bbb.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 22 + 485*y - 476*y.\nAnswer: 9*y - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2680739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + (-1*sqrt(165)\/(sqrt(11)*2))\/((sqrt(40) + 1*sqrt(40))\/sqrt(8) - (sqrt(5)*-1 - sqrt(5))*4)).\nAnswer: -15 + sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - -6.9. Let z = k + -6.3. Let q = 0.68 - z. Which is the second smallest value? (a) -2 (b) q (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 235 - 168. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**5\/60 + 5*m**4\/24 + 4*m**3\/3 - 61*m**2. Calculate g(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17549, -0.0648, -0.1 in descending order.\nAnswer: -0.0648, -0.1, -17549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 5*q**2 + 5*q + 3. Let f = -3 - -16. Suppose 16 = -p + f. What is u(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3681839 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341371?\nAnswer: 541, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.268 and -69.6689.\nAnswer: -69.9369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -49. Suppose -31 - 9 = -5*m. Let b = -12 + m. Is b at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**2\/2 + 6*t + 3. Let a be r(4). Differentiate 1 - i + i - 2*i**a + 2 with respect to i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (4 - -3) - 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61250 and 42875?\nAnswer: 428750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58003*d**3*v**3 + d**3*v**2 - 11*d**3*v + d**2*v**3 - 49*d**2*v**2 + d*v**3 + 243*d*v**2 wrt d?\nAnswer: 348018*v**3 + 6*v**2 - 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007722733 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*l + 10*l**3 - 77*l - 47*l**3 + 176*l.\nAnswer: -37*l**3 + 182*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 3*n**2 + 9*n + 19. Let s be h(-2). Sort -2, -10, -1, s.\nAnswer: -10, s, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-228)\/210 - (-8)\/10. Let o be 1 - (198\/(-40) - -1). Let u = -26\/5 + o. Sort u, -1\/5, -3, n in decreasing order.\nAnswer: -1\/5, u, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 9. Suppose 0 = 7*a - 36 - 90. Suppose 755*j + a = 761*j. Put 1, k, j in ascending order.\nAnswer: k, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + v + 2*v)*(6*v - 2*v - 3*v) + (-2 + 2 + 2*v**2 + v)*(0 - 3 + 0).\nAnswer: -7*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -2 (c) -1.20897 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 - 70. Calculate the smallest common multiple of 27 and ((-18)\/i)\/((-6)\/84).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 43*v**2 + 31*v - 58. Let g(b) = -21*b**2 - 17*b + 30. Calculate 15*g(k) + 8*i(k).\nAnswer: 29*k**2 - 7*k - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**2. Let h(z) = 318 + 35*z + 308 - 844 + 278. Let i(l) = 5*l + 9. Let n(t) = 3*h(t) - 20*i(t). Calculate n(w(g)).\nAnswer: 35*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**3 - 27*r**2\/2 + 42*r + 1873. Determine y so that v(y) = 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 80235428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*p + 134 = -34*p - 322 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7095 and 52755?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((6*sqrt(95)\/sqrt(5))**2 + (0 + sqrt(1539) - sqrt(19)) + -3 + 2*1*sqrt(19)*3).\nAnswer: -681 - 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 429962 and 5580159.\nAnswer: 256687314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -511938022 divided by -192893\nAnswer: 2654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200001211 - -100?\nAnswer: -200001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 2*w - 8 + 4 = 0, 3*w = -5*r + 30 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 7168.\nAnswer: 35840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 700*p - 676*p - 1056. Calculate the least common multiple of 88 and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20719 = 5*d + j, 5*j - 4139 = 8*d - 9*d. Suppose 11*u = -5*u + d. List the prime factors of u.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*q**5\/11 - 28*q**4 + 2850*q**3\/11 - 10688*q**2\/11 + 15880*q\/11 - 7200\/11 = 0. Calculate q.\nAnswer: 4\/5, 2, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33032?\nAnswer: 2, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 19 - -5 - -8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 6:25 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 22 = -26. Suppose -42 = i*r + 4*j, -j - 185 = 5*r - 35. Do r and -31 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2880 and 25020?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9444, 18884, 28322, 37758, 47192?\nAnswer: 56624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**2 - 5. Suppose 0 = -4*t + t - 4*m + 20, 0 = 2*m - 4. Let v be (-6)\/10 - (-424)\/40. Let i(k) = k**2 + 2. Calculate t*g(f) + v*i(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 3*s = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 2 + 2*v - 3)*(0*v**3 - 6*v**3 + 2*v**3).\nAnswer: 4*v**4 + 20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29837.47 centuries to months.\nAnswer: 35804964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p. Let t be m(1). What is the remainder when 44 is divided by (-1148)\/(-49) - t\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/103, 0.2, -0.5, 0.3 in descending order.\nAnswer: 0.3, 0.2, -2\/103, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ycyp when four letters picked without replacement from ggpygpgywpycyzyc.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 113.28 + -112. Let q = 1.27999435 - i. What is q rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**2 + o**2 + 2*o**2)*(-o**3 + 0*o**3 - o**3)*(-3 - 2 + 0).\nAnswer: -20*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4195\/12 + 1078\/3. Calculate the common denominator of -139\/24 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4946 + 4945.5. Which is the third smallest value? (a) -7 (b) i (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107016 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.028 (b) -5 (c) 3\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + (-1 - -4) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -4. What is the tens digit of d\/18 + 784\/36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qeeqeee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 = -41*a + 72 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*i**2 + 124776 - 2*i**2 - 124687 + 11*i**2 + 11*i**2 to c*i + j*i**2 + o and give o.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -705, -1.\nAnswer: -705, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 1466*d**2 + 15*d - 3512. Let v(z) = z**2 - z + 1. Let t(x) = q(x) + 13*v(x). Differentiate t(c) with respect to c.\nAnswer: 2958*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*z - 11, f + 7*z - 2*z + 5 = 0. Suppose f*j = 2*j + 330. Suppose x - j - 18 = -3*t, 231 = 2*x + t. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18874 - 18879. What is the third biggest value in -14\/13, x, 5, 0.7?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -422109, -844897, -1267681, -1690455, -2113213?\n\"Answer: o**3 - 4*o**2 - 422783*o + 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 9. Let l be h(-7). Solve -5*w - l = -4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v. Let w(i) = 5640913*i. What is p(w(r))?\nAnswer: 5640913*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, t: 5, v: 3, b: 7, u: 2}. What is prob of picking 2 h and 1 t?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o + 6787 - 18319 = 0. What is the common denominator of 40\/21 and (-12 - o\/(-30)) + (-296)\/(-210)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 810 + 25\/(4 - 9) - 5.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, x: 4, t: 6}. What is prob of picking 1 x and 2 o?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 477.3136 and -0.5.\nAnswer: 476.8136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7297 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: Suppose t + 5*b = 8*b + 8, t + 5*b - 16 = 0. Suppose 2 = m + 2*n, 3*m + 0*m = -5*n + 9. Let h(x) = -m*x - 6*x + x + t*x. Let f(u) = -13*u. What is h(f(k))?\nAnswer: 26*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3400 - 3378 = 11*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10 (b) 7.2 (c) -5 (d) -35 (e) 1\/2 (f) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22920, -45826, -68704, -91542, -114328, -137050?\n\"Answer: 2*v**3 + 2*v**2 - 22926*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2518, -4732, -6928, -9100, -11242, -13348?\n\"Answer: w**3 + 3*w**2 - 2230*w - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 9. Let r be g(7). Suppose -2*p - 4*y - 12 = 0, y + y = -5*p + r. What is the second derivative of 2*o**p + 3*o - 5*o**2 - o wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 3:48 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**3*z**2 - 283*q**3 - q - z**2 - 87*z wrt q.\nAnswer: -6*q*z**2 - 1698*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 113*z**4\/24 - 25*z**3\/6 - 2*z**2. Let k be d(7). Let r = k - 153. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 201*x - 355. Is a(38) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 48. Let d be o(50). Suppose -p = -1, c = d*p + 21006 - 7725. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*m = 107930 - 5828. What are the prime factors of m?\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 4*j**2 - 12*j + 7. Let l be (-1 - 11)*7\/(-14). Determine r(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-4) - 2 - -3765. Suppose 2*u - j = u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 41*o + 9. Let t(i) = i - 7 - 11*i + 3 - 10*i. Let d(n) = -3*q(n) - 7*t(n). What is the units digit of d(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21403330*f**4 - f**3 + 42571891*f?\nAnswer: 256839960*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (105\/(-9))\/(4\/(-60)*90\/108). Solve -t + f = 214 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*r*x**2 - 71*r*x - 3*r + 129609*x**2 + 3843 wrt x?\nAnswer: 20*r + 259218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + 4*k - 2*k)*(-5 + 4 - 1)*(-6 + 3*k + 10 - 3) - 7*k**2 - 2*k**2 - k**2 in the form p*k**2 + q + i*k and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -105 and 8.1.\nAnswer: -850.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 = 34*y - 261. Sort -4, -3, y, 1, 110 in descending order.\nAnswer: 110, 1, y, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**2 + m. Let t(w) = -11*w**2 + 28*w - 36. Let a(d) = 3*g(d) - t(d). What is a(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4)*(0*f - 3*f + 2*f) + 2*f - 2*f + 2*f + 0*f - 2*f + 3*f - 1 - 3*f + 1 + (f + 1 - 1)*(-3 - 1 + 3).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 452?\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*f - 22 - 14 = 0, -30 = -3*c - 4*f. Let d(n) = -19*n. Let g be d(-3). Let u = g + -17. Calculate the remainder when u is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2820194\/38489 - 73*1?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b - 26. Let n be l(-48). Which is bigger: n or -123?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353572 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 times 318612\nAnswer: 57350.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = -23*h + 444. Let z be (-1 + (-26)\/(-6))*3. Let i = h + z. Solve -4*c - i = 5*v, 2*c = -2*c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2400)*2)\/(sqrt(968)*-2) + 3*(sqrt(3) - (sqrt(75) + -5)**2)*-6*-1.\nAnswer: -1800 + 10088*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 20, -4*l + 439 - 111 = 2*q. Let j = l + -37. Let u = -13 + j. Calculate the least common multiple of 4 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -599 + 599.1. Let o = 0 + 0.2. What is the closest to z in o, -0.4, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 598 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173 = 120*b - 187 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*i, -28 = 6423*a - 6418*a + 2*i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/7 of a week in days?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0*h + 3. Let j(c) = 5*c**3 + c**2 - 3*c + 1. Let w be j(h). Calculate the lowest common multiple of 27 and w*((-95)\/(-20) - 4).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s = -48. Suppose -5*m + m - s = 0. Is (38\/4)\/(m\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642065813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 a when three letters picked without replacement from {o: 4, j: 2, a: 6, c: 1}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 74, 155, 230, 299?\n\"Answer: -3*c**2 + 90*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 196 and 2940?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1*(-2)\/4)\/((-58)\/(-22968)). Calculate the highest common factor of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(((-20)\/15)\/((-12)\/18)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876653886?\nAnswer: 2, 3, 146108981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 0.18387.\nAnswer: 2.20644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = 3*l - 72. Find the second derivative of 12*u - l*u**2 + 7*u + u - 4*u wrt u.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-9) + 91\/(-234))*2\/8. What is the third smallest value in 4\/9, q, -4.58?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 10 = t + 29, -2*t + 5*o - 26 = 0. Suppose -45*j + 58*j = 364. Let u = j + t. Solve -3*h = -20 + u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 210, 191, 176, 165?\n\"Answer: 2*b**2 - 25*b + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42646034\/1365 + -218676\/7. Let m = -44\/15 + c. Are -2 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 7*q - 31. Determine z(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2853*j**3 + 3*j**2 + 40*j - 5 wrt j.\nAnswer: -17118*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (2 - 1) - (15 + -18 - 7)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c (base 14) in base 4?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 8:24 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -13*s - 210. Let t be (-6765)\/s + 4\/(-14). Suppose 4*r - 275 = t. Calculate the highest common divisor of 39 and r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (17\/2 + 0)*2. Let v = m + 16. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -2\/5 (c) 204 (d) -239\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2913361, 2913263, 2913163, 2913061, 2912957?\nAnswer: 2912851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3110 + 1022022?\nAnswer: 1012312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 13*o + 22. Let m be j(10). Suppose -4*k + 3 + 5 = 0. Suppose 4*l + y = -37, -k*l - 25 = 2*y - 5. Is l at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22771 + -1477?\nAnswer: -24470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 522923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*l + 3*h - 26, 0 = 5*l - 2*h - 48. Let c = l + -8. Suppose 5*i = -n + 10, 3*i + 5*n = c*i + 2. Solve i*x + 5 = 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - 4*w**2 - 38 + 27699*w**3 - 5*w + 2*w**2 - 27703*w**3 as q*w**3 + j + n*w + x*w**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = -2. Suppose 5*z = -i*f - f + 3, -3*z = 3*f - 9. Suppose u + p = f, -26 = -2*u + u - 5*p. What is the greatest common factor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/130 and -9\/1183.\nAnswer: 11830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -164*h**4 + 2*h**3 + 7*h**2 + 75305*h wrt h?\nAnswer: -1968*h**2 + 12*h + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 + -3. Let q = -69 - c. Let y = 2 + 1. Sort y, q, -2 in ascending order.\nAnswer: -2, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37 - 666*v**2 - 6*v**6 + 438*v**6 - 46 + 83 wrt v?\nAnswer: 51840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 92ee81?\nAnswer: -92ee81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32378933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 19335980 to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 705 and 2585.\nAnswer: 7755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - k + 1)*(-1 + 3 + 0*k - 3*k).\nAnswer: 3*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5210378*f. Let a(l) = l + 30. Calculate k(a(p)).\nAnswer: 5210378*p + 156311340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -580431 + 1033468. Suppose 11*j + c = -964863. Round j to the nearest 1000.\nAnswer: -129000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 99\/10 - 91\/10. What is the nearest to -2 in 17, 5, 1\/4, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*u = -28*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1) + (-1124)\/546 + 72\/468.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1544*j + 3285*j - 1550*j.\nAnswer: 191*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 686226840268\/1517285 + -255490590\/563. Let a = 45051\/49 + f. Let r = a - -3066\/5. Find the common denominator of 93\/4 and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 259494881*j**3*p + 9*j**2*p + 66*j**2 - 6670*j*p - 2*p wrt j.\nAnswer: 1556969286*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 17*o + 530. Calculate j(-32).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 133 + -106. Suppose -22*c - 13825 = -k*c. Let i = -1644 + c. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 124\/477 + -2\/53. Let t = 0 + 1. Let b = t + -0.8. Put k, -2\/19, b in descending order.\nAnswer: k, b, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.7 - -1.65. Let c = y + 14. Let u = 0.1247 + -3.1247. What is the second biggest value in c, -1\/10, 0.5, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - -1)*-2 - -6855 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 3*p - 28. Calculate the greatest common factor of 63 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*(3*z**3 - 2*z**3 - 2*z**3)*(3 + 6 - 3) as o + i*z + l*z**2 + u*z**3 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.615 and -0.046?\nAnswer: 1.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 12*t**2 - 48*t - 233. Calculate n(-5).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6.87 and -579.173.\nAnswer: -586.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 - 19. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165060 divided by 6?\nAnswer: -27510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*r + 67564 - 67304 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 149865, 153146, 156423, 159696?\n\"Answer: -2*f**2 + 3287*f + 146580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2)\/j)\/(j*j**(2\/15))*j**(-17)*((j\/j**5)\/j)\/j assuming j is positive.\nAnswer: j**(-739\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 3:55 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 4*h - 8 = 0, -h + 18 = -0*z - 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70969901489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32897*w**4 + 2*w**3 + 809*w**2 - 237580667*w wrt w.\nAnswer: -394764*w**2 + 12*w + 1618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 3*j**3)*(-4 + 1 + 1 - 53 - 324 + 110 + (3 - 2 + 1)*(6 - 2 - 3)) as h*j**3 + f*j**2 + k*j + z and give h.\nAnswer: -801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = 84*b - 2 + 2. Solve 5*r - 5*l - 10 = b, -3 = -4*l - 11 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -80.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 182 and 238.\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*t + 12*t**2 - 51*t**2 + 23*t**2)*(3 + 1 - 5) to s*t**2 + v*t + h and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 4 + 2 + 3*v**2 to the form g*v + k + o*v**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, 0.153, -31, -4, 1?\nAnswer: 0.153","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 3*m**3 + 4 + 8*m**2)*(m - 3*m - 2*m).\nAnswer: -12*m**4 - 32*m**3 + 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3651267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2139231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/101))**(5\/11) assuming d is positive.\nAnswer: d**(10\/1111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*r + 6 = 0, 12*r - 17*r = -10. Let y be (-6)\/x*12\/(-18). Solve 4*t - 21 = -2*b - y, -b - 4*t = -18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144365 + 34057 = 2507*v for v.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4372792, 8745582, 13118372, 17491162, 21863952?\n\"Answer: 4372790*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 148 = 144. Let c be p\/(-4) + 533\/1804. What is the smallest value in c, -0.2, 0.049?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 (base 7) in base 4?\nAnswer: -1231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**15)*u\/(u\/((u**(-13)\/u)\/u))*u**(-17)*u**16*u assuming u is positive.\nAnswer: u**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*m**3 - 8713581619*m**2 + 8713581619*m**2.\nAnswer: 61*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 13 + 2 - (-38 + 31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 2*a = -18, 2*w - 27 + 6 = 5*a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1560*y - 1303*y = 6168 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*(z*(z**(1\/21)*z)\/z)\/z)\/z)\/((((z\/(z*z**(-4)))\/z)\/z)\/z))**(1\/26) assuming z is positive.\nAnswer: z**(-10\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**5\/30 + p**2 + 24. Let g(m) = -m. What is g(d(i))?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 194.\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 142320 (base 5) to base 6\nAnswer: 43332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 0 + 0 + 1 - (716 + -712)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 - -313?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1377) + -5)**2 - sqrt(1377) - sqrt(1377)) + 3 + -2*((2*sqrt(17)*-4)**2 - sqrt(153)*4).\nAnswer: -771 - 84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2448 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 816251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394 is divided by 100.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -53*k**2 + 1005*k + 30. Let w be r(19). Let m = -44 - -134\/3. What is the fourth smallest value in -2, 1\/3, w, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*h**5 + 430*h.\nAnswer: -1340*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 2*b**2 - 4*b - 3. Let j be o(-3). Solve 3*a - 3 - 3 = j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -191 - -359. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/30)\/((-2)\/(-14 + 2)). What is the nearest to 2 in i, 0.05, -1\/7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -289, -286, -283, -280, -277?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.1760484 months?\nAnswer: 0.0000146707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29.3 + -29.3. Which is the biggest value? (a) 1\/6 (b) l (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h - 15. Calculate z(16).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-5 + 7 + -3) - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - g**2 + 149. Let z be (-6 + 6)*(-2)\/(-4). Let l be s(z). Suppose j - 182 - l = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 8. Suppose m = 5*c - 8. Suppose h + 66 = 5*f + c, 15 = f + h. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -22, -5, 4, -3, -58, 5 in increasing order.\nAnswer: -58, -25, -22, -5, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10614, 4, 37, 1 in decreasing order.\nAnswer: 10614, 37, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10252809.\nAnswer: 3, 7, 67, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*l + 46*l. Solve 2*y - 6 + 0 = l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 - 39.9. Which is the closest to t? (a) 5 (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 64*x**2 - 770*x + 7. Determine l(12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 40717*z - 488620. What is p(12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from tyeotppfffpoee.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17606 by 7110.\nAnswer: 8803\/3555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-141)\/((-2214828)\/(-2552)) + 48\/136?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 701 = -b - 2*b, -b + 219 = 4*i. Factor -260*h**2 + 10*h**4 - 18*h + b*h**4 + 96*h**3 - 22*h - 446*h**3.\nAnswer: 5*h*(h - 2)*(7*h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*s - 1 = -3*n, -7 = -n - 5*s. Suppose 0 = -2*d - 9 + 3, -n*d - 49 = z. Let u = z - -46. What is the remainder when u is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or -3934?\nAnswer: -3934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 3) + 3 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 15 = -u, -3*u + s + 8 = u. Suppose 15 = 4*f - u. Suppose 0 = -4*v - 5*d + 253, v + f*d - d = 58. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 21*s + 4. Let t be u(21). What is the second biggest value in 1, 68, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152275 is divided by 875.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**3 - 3534*x**2 - 103803*x - 554484 = 0.\nAnswer: -1148, -23, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 281.\nAnswer: 3\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 43408499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 15 = -2*k + 5*k, 0 = -4*d - 5*k + 25. Let z be (53125 + d)\/((-1)\/(-16)). Round z to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = p + 8, -1294*p + 41 = 2*l - 1297*p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35463 - 13121379\/370. What is the common denominator of -125\/4218 and b?\nAnswer: 21090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 1235634.705055.\nAnswer: 1235635.105055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -17 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in -46206, 0.6, -3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 645*z + 44*z**2 - 162*z**2 - 48*z**2 - 123*z**2 wrt z.\nAnswer: -578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 7 + 2)*(0*i**5 + 0*i**5 - 2*i**5) + 0*i**5 + 2*i**5 + 0*i**5 + (2 - 2 - 2*i)*(-3*i - i**4 + 3*i).\nAnswer: 18*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7826*p**3 - 44429*p**3 + 990*p**3 - 46147*p**3.\nAnswer: -81760*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -6*o + 40. Suppose -2 = -2*z - o. Let d = 10 + z. Solve -d*u + 3*u + 1 = -5*p, 2*p - 4*u + 6 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.4 + -4. Let i = 6.8 - -29.2. Let h = -35 + i. What is the third biggest value in -5, x, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 0*n**4 + 0*n**2 - 1\/10*n**5 - 1\/15*n**6 + 0*n**3 - 8*n - 1. Let b(a) be the first derivative of z(a). Factor b(f).\nAnswer: -2*f**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (98 - (120 + -94)) + -106.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = -12. Suppose 0 = -s*u + 6665 - 1995. Let q = 1379 - u. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(187))\/(5*(sqrt(176) + sqrt(11))).\nAnswer: -8*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 4. Let n be i(2). Suppose -3*g = -0*g - w - 790, 4*w = -n. List the prime factors of g.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 0. Let a = -3 + j. Let u = -2.2 + a. What is the smallest value in 2, 4\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5428 + 5668 = 5*q - a, 4*q - 3*a - 8879 = 0. What is the third derivative of -q*c**2 - 35*c**5 - 11*c**5 + 2215*c**2 wrt c?\nAnswer: -2760*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/3)\/(12 - (-4340)\/(-360)). Let y(o) = -9*o**2 + 8*o - 12. Let v(j) = -4*j**2 + 4*j - 6. Let b(l) = 7*v(l) - 3*y(l). What is b(u)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-45)\/6 + (-4)\/(-8). Let r(z) = 6*z**2 - 6*z + 6. Let g(u) = -5*u**2 + 5*u - 5. Suppose 6 = 2*t - 3*t. What is m*g(y) + t*r(y)?\nAnswer: -y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.014? (a) -0.1 (b) -0.5 (c) 3\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16119 + -16122. Sort f, 4, -0.6, 10 in decreasing order.\nAnswer: 10, 4, -0.6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1606299517 to the nearest integer?\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15, 35, 63, 99, 143?\n\"Answer: 4*c**2 + 8*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*h + 0*h**2 + 3*h + 6*h - 6 + h**2 + 27*h**3 wrt h?\nAnswer: 162*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 1. Let y(u) = u**2 + u - 1. Let f(w) = -2*m(w) - y(w). Let v be f(-2). Let l be (0\/4)\/(-1 - v). Solve l = 3*x - 8*x - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tootoooooot. Give prob of sequence oooo.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - -1 - (75 - 63)) + -47 + 9?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -519\/4 + 2691\/20. Is b at most 1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.16, -7, 0.4?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -52078, -135849, -219610, -303355, -387078, -470773, -554434, -638055?\n\"Answer: t**3 - t**2 - 83775*t + 31697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12374*t = 12331*t. Solve 70*z - 40 - 30 = t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92226057 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 13?\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.247244 weeks to milliseconds.\nAnswer: 149533171.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgqg when four letters picked without replacement from {q: 3, g: 2, s: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 - -88. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) - (sqrt(324)*1 + sqrt(9)) - ((2*sqrt(63))\/sqrt(7) + sqrt(9)))*1)\/((sqrt(84) - sqrt(84)*2)\/(sqrt(7) + (sqrt(28) - sqrt(7))*-4)).\nAnswer: -27*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*x**3 - x + 20*x**3 - 5 + 3*x**2 + 9*x**3 + 24*x**3 - x**4 to w*x**2 + b*x**4 + o*x**3 + s*x + g and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express f + 3*f**3 - 99478*f**4 + 198964*f**4 - 125*f**2 - 99484*f**4 - 1 - 2*f**3 in the form v*f**3 + i + k*f**2 + x*f**4 + p*f and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - (sqrt(1300) + -2))**2 + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19548203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + m**2 + 2 - 1 - 6. Suppose -g + 0*g = -q - 2, -3*g = -4*q - 8. Give i(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from {e: 1, z: 1, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.1, -0.076, -0.3?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)*5 + sqrt(7)*2*1.\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3892697*o**3 - 7405673*o**2 wrt o.\nAnswer: -23356182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -39.7413.\nAnswer: 39.5413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - 1 + 1)*(12 - 5*r - 12).\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 2. Suppose m*o - 192 = 4*v, -5*o + 2*v = -3*v - 325. Let x be 152\/(-760) + 4 + 4*982\/40. What is the greatest common factor of x and o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -63 - (55 - 60)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3256503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82137 = -365*u + 194*u - 136059. Which is smaller: -1274 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 32969222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -174432*i**3 - 49998*i**2?\nAnswer: -1046592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 26*a**2 - 11. Let o(m) = -5*m**2 + 2. Let d(l) = 11*o(l) + 2*s(l). Let k(q) = q - 32. What is k(d(f))?\nAnswer: -3*f**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 28934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 911 + -911.06. Which is the second smallest value? (a) -0.9 (b) 2\/11 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -2. Let j(h) = -4*h**2 + h + 1. Suppose -2*r = -4*r - 2. Let g be j(r). Sort -3, g, u in descending order.\nAnswer: u, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -34.6 (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/4 - 8025*s**2\/2 - 64400625*s\/4.\nAnswer: -s*(s + 8025)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 598 = 118. What is the highest common divisor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -523, 2, 54, -14 in ascending order.\nAnswer: -523, -14, 2, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 49, -27, -169, -383?\nAnswer: -675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 11*w**2 - 10*w + 5. Let s be n(-10). Suppose 0 = -s*y + b + 43, 5*y + 5*b - 39 = 8*b. Solve -y*x = -14*x - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 35*o**3 + 65*o**3 - 40*o**3 - 27*o**3.\nAnswer: -37*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 4, 11\/6, -91.\nAnswer: -91, -37, 11\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 49\/28*(-20)\/565. Are b and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-60)\/(-1320))\/(2\/8))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700388350?\nAnswer: 2, 5, 14007767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 3*h + 3. Let o be q(0). Let z(m) = -m**3 + 2*m**2 + 3*m + 1. What is z(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/((-8)\/80). Suppose -b*d - 4*h + 15 = -2*d, -5*h + 15 = 0. Solve d = -f - 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwqwwwwwwq. What is prob of sequence wqqw?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -133145184288.\nAnswer: -133145184294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200200 (base 4) to base 16.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-7) + (-222)\/(-259)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -5*h - 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**5\/30 + 495*y**2. Let n(v) = 759*v**2 + 1. Determine z(n(i)).\nAnswer: 1152162*i**4 + 3036*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1218 and -37\/21.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1925629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 2*t**2 + t**3)*(0*t**2 + 2*t**2 - 3*t**2) + 19*t + 47*t**5 - 17*t + 77*t**5 + (-t**3 + t**3 - 2*t**5)*(-1 - 3 + 2).\nAnswer: 127*t**5 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 27. Let r = 13.5 + -14. Which is the nearest to 1? (a) r (b) -0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/n**2)\/n**(-7))\/(n**7*n**6\/n))**(-2\/9) assuming n is positive.\nAnswer: n**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/6 + 568*h\/3 + 17061\/2.\nAnswer: (h + 47)*(h + 1089)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(425) - sqrt(425))*-2 + -4*(sqrt(425) + 0 + sqrt(425)) + sqrt(425)*-3 + 4 + 1 + 5)**2.\nAnswer: -700*sqrt(17) + 20925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.642 + -10.642. What is the nearest to 1\/4 in -5, c, -12?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2678 = -19*x + 2830 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1259251900 rounded to the nearest 1000000?\nAnswer: 1259000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1389587.\nAnswer: 1389587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) 1\/2 (c) -1 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2725382*i**3*x**4 + 2*i**3*x - 259*i**3 + 142*i**2 - x wrt x?\nAnswer: -32704584*i**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431*k - 266*k = 139*k - 1145*k - 11433 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q**(-1))*q**(1\/9) assuming q is positive.\nAnswer: q**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 15070380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*v**3 - 427*v**3 - 5 + 3 + 2 + 1107*v**3.\nAnswer: 274*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 200601582?\nAnswer: -200601581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 7232.\nAnswer: 21696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -734*s**4 + 2*s**3 + 2*s**2 + 12*s - 17 wrt s.\nAnswer: -17616*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 208 + -207. Which is the closest to -1\/2? (a) -0.07 (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/8, -2, 0.08?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37051?\nAnswer: 7, 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 0) + (6 - 6) + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + -31313?\nAnswer: -31230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87691230 divided by -86823.\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 57602, 57600, 57572, 57518, 57438, 57332?\n\"Answer: -13*s**2 + 37*s + 57578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 - 4*p**2 - 2*p + 1. Let y be x(-2). Suppose y*h = 84158 + 157342. What is h rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000671444001 to seven decimal places.\nAnswer: 0.0000671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 - 70. Suppose f*z = 14*z. Solve 0 = 5*l - 2*w - z - 4, -2*l = -4*w - 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 8*r**2. Is l(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 11 = -3*r + 4*j, 3*r - 2*j = 46. Calculate the lowest common multiple of 2 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6207*r**2. Let y(c) = -c**2. Calculate y(f(k)).\nAnswer: -38526849*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6*g**3 - 275*g + 969. Let q(o) = 7*o**3 + 273*o - 971. Let s(r) = -5*q(r) - 6*t(r). Differentiate s(z) wrt z.\nAnswer: 3*z**2 + 285","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 13 - (7 - 4). Suppose 0 = 9*m - 13*m + 8. Suppose 4*g + 1 + 11 = -m*q, -3*q - 3*g - 9 = 0. Solve -u - u - f = q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16213062 to the power of 1\/2, to the nearest integer?\nAnswer: 4027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-6))\/((-3)\/(-12)). Is 4*(1225\/10 - t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, 2, 6 in decreasing order.\nAnswer: 8, 6, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3607, -7220, -10843, -14482, -18143?\n\"Answer: -x**3 + x**2 - 3609*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(78) - 1*sqrt(78)*2) + sqrt(78) + (sqrt(78) + 1*sqrt(78))*-1))\/(-2*(sqrt(726) + sqrt(726)*-2*-4)))**2.\nAnswer: 325\/9801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**3 - 5 + 3*d**3 + 8*d**2 - 4*d + 2. Let y be c(7). Let s be (-1)\/(-3) + 12\/y. Is s > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -35. Let k(n) = n**2 - 13*n + 8. Let f be k(y). Suppose a + 1 = 4. Sort a, f, 1 in increasing order.\nAnswer: f, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3157 = -z, 7*z - 2*z + 1573 = -2*f. Let o = f + 793. Put 3, o, -31 in ascending order.\nAnswer: -31, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 1. Let h(o) = -4*o**2 - 12*o + 12. Let s be 0 + (-11)\/((-22)\/24). Let n(r) = s*j(r) - h(r). Let y(f) = -7*f**2. Determine y(n(i)).\nAnswer: -112*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(312\/(-143)) + 2)*116\/(-14).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 15*p**2 + 19*p - 18. Calculate n(-16).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 23*f**3 + 13*f**2 + 55. Let i(b) = 8*b + 26. Let y be i(-4). Let a(x) = 12*x**3 + 6*x**2 + 27. Let g(p) = y*o(p) + 13*a(p). Differentiate g(m) wrt m.\nAnswer: 54*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) -2 (c) -6\/7 (d) -0.24 (e) 0 (f) -14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28.7821 and -2326?\nAnswer: 66947.1646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-10))\/((-3)\/(-15)) + -4. Suppose -2*t - r*c - 3 = -31, -62 = -5*t - 3*c. Solve -16 = 5*b - v, 4*v + t - 2 = 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6360, 12718, 19076, 25434, 31792, 38150?\n\"Answer: 6358*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9 - (-490)\/(-50))\/(6\/15). Put 16, x, -4, -0.15 in ascending order.\nAnswer: -4, x, -0.15, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 4*x**2 + 5. Let y = 23 + -19. Let j be q(y). Suppose -4*u = -0*k + j*k - 245, -3*u = 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 428 or 297194\/695?\nAnswer: 297194\/695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**6 + 8*u**4 + 152*u**3 + 1404*u**2 + 6 wrt u.\nAnswer: -240*u**3 + 192*u + 912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*9\/(-6) + -2. Suppose 4*z = 6*z - o. Solve -2*r + 0*r = -z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11673 divided by -4959?\nAnswer: 1297\/551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 10. Find the third derivative of -2*d**2 - 2*d**2 - 6*d**3 + d**w wrt d.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3888457 minus 1642.384?\nAnswer: -1639.9951543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311558?\nAnswer: 2, 13, 23, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 x when four letters picked without replacement from {t: 4, x: 15}.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 942*0.007019\nAnswer: 6.611898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -863\/20 > -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 - 3*i**2 + 6*i**2 + 54 - 23*i**2.\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**5\/30 - g**4\/12 + g**3\/2 - g**2\/2 - 3*g. Let r(u) be the first derivative of a(u). Calculate r(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681297 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 157653 - -223018. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.6 * -10.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + 5. Let d(u) = 4*u + 95. Let l be d(-28). Let m = l + n. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -707 (base 13) to base 3\nAnswer: -1122002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25585158367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22286*j**2*k**2 + 2*j**2*k + 10392*j*k wrt k.\nAnswer: 44572*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 355 - -c92d?\nAnswer: cc82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63439 is divided by 87.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**4\/12 - 2*v**3\/3 - 3*v. What is the units digit of g(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6270312479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -200423 (base 8) in base 11?\nAnswer: -45499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1898107770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l = 2. Let k = l - -6. Solve b - k + 3 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 28*q - 52. Let z be m(2). Solve 2*c - u + 1 = -0*c, -z*c - 4 = -4*u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 169739076304 and -5.\nAnswer: 169739076299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -8. Let k(d) = -d**3 - 2*d**2 - 2*d - 3. Let c(f) = f**3 + 2*f**2 + 2*f + 4. Let j(g) = 2*c(g) + 3*k(g). Let r be j(-1). Sort 2, i, r.\nAnswer: i, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*m - 94 = -253*m + 4*j, -287 = 5*m - 3*j for m.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7714 (base 13) in base 7?\nAnswer: -66223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o - 4*o + 8*o)*(-1 + 3 - 4).\nAnswer: -22*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18141 and 1.\nAnswer: 18141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*r - 75. Suppose -5*m = -3*x + 2*x - 126, -3*m + 98 = 5*x. What is the remainder when r is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f - 26. Let b be z(11). Solve 3*d = b*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsnu when four letters picked without replacement from {s: 3, q: 3, n: 6, u: 6}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3199 and 0.062.\nAnswer: -3198.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -3 (b) 4\/3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 1. Suppose 5*f = b - 4, 2*f - 2*b + b = -4. Let r be t(f). Which is greater: r or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -170 by -107.\nAnswer: 170\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 405534 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(448)\/((sqrt(96)*1)\/sqrt(12)))\/(sqrt(512) + (-1*sqrt(512) - sqrt(512) - sqrt(512) - sqrt(512)) + 6*sqrt(16)\/sqrt(2))*2.\nAnswer: -sqrt(7)\/9 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 1261, 1\/3, -0.048, 0.303?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 2 - -20 - -2. Let j be (-1)\/2*6\/(-1). Calculate the greatest common factor of h and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300222 (base 4) in base 5?\nAnswer: 44424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -x**3 - 3205*x**2 - x + 4137 wrt x?\nAnswer: -3*x**2 - 6410*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2))**(-3\/23))**31\/(w**(-5\/2)\/(w**(-4\/5)*w)*(w**(1\/4)*w)**(-27)) assuming w is positive.\nAnswer: w**(20487\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(6\/19))\/n**7*n**(-2\/7)*n\/((n\/n**(2\/25))\/n*n) assuming n is positive.\nAnswer: n**(-19584\/3325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 6. Let r be v(-4). Suppose r*h - 13 = -3. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102133641 (base 7) in base 4?\nAnswer: 112333003311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c (base 15) to base 2.\nAnswer: -111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -3*m**3\/2 - m**2\/2 - 2*m. Let l be o(-1). Suppose l*g - 396 = -g. What is the remainder when g is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 8*c + 11. Suppose -q - 4*r = -264 - 128, q + c*r - 397 = 0. Suppose -2*k + q = 98. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 53*l**2 + 337*l - 2581. Determine u(47).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 50 = 6*z. Let t = z + -11. Let l = t - -9. Solve -5*g + l + 17 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 668984*r**6 + 3*r**2 + 776*r - 32?\nAnswer: 80278080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 17*h = 2*a - 3050, 3*h = 4*a - 6142. Calculate the remainder when a is divided by 154.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**3 - 3*h**2 - 31*h + 1441 wrt h.\nAnswer: 3*h**2 - 6*h - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 2*d - 2*d)*(7*d**2 + 3*d**2 - d**2) - 3 + d**3 + 3 + 195*d - 98*d + 1 - 12*d**3 + 2*d**2 - 98*d.\nAnswer: -29*d**3 + 2*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -3116?\nAnswer: -3122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 848039?\nAnswer: 139, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14690 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 -4*f - 3*w + 27 = 0, 0*f + 14 = -2*f + 4*w. Solve -2*s + 7*s - 17 = -4*k, 19 = -2*k + f*s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.61 - 6.01. Let g(l) = -l**2 - 5*l + 5. Let v be g(-6). Let d be 1*(v\/9 - 0). What is the third biggest value in f, -6\/5, d?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 190395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 6) to base 9.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 252398318?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 44429.4 + 1189\nAnswer: 45618.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t - 2. Let c(d) = 3*d + 2. Give -3*c(g) - 2*j(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5636*p - 15710*p = -2644*p + 2412558 for p.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -283075 by 2.\nAnswer: -283075\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 71370641 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0 + 40 = 4*r, 5*r - 20 = 0. Let w be ((-2)\/v)\/(2\/(-36)). Suppose w = a - 5. Solve 4*g + a + 1 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 166 - d?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t - 2*t)*(7*t**2 + 5*t**2 - 4*t**2).\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*v + 5059 - 1347. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -1101011011?\nAnswer: 1101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 587672323 and 587672324 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -35d (base 16) to base 9\nAnswer: -1156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 5*b + 2. Let r be o(0). Let p(z) be the second derivative of 1\/16*z**r + 0 - 1\/96*z**4 + 0*z**3 + 30*z. Factor p(f).\nAnswer: -(f - 1)*(f + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -1, -0.43, -0.95?\nAnswer: -0.95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(270) + 1*sqrt(270)*1 + sqrt(270)))\/((sqrt(378)\/sqrt(63))\/sqrt(9)*-4).\nAnswer: 135*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4 - 94006*v**3 - 1127880*v**2 - 4511264*v - 6014848.\nAnswer: -2*(v + 4)**3*(v + 46991)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, o: 3, u: 9}. What is prob of picking 3 z?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 71*f**2*o + 71*f**2 + 146*f*o**2 + 68*f*o + 113765*f wrt o?\nAnswer: 71*f**2 + 292*f*o + 68*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -18488, -3\/5, 0.0239?\nAnswer: -18488","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 74490?\nAnswer: 148980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-7) - 730\/511. Let x = -246.49 - -0.49. Sort x, z, 2 in decreasing order.\nAnswer: 2, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222.1 times -1395.8?\nAnswer: -3101607.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 432\/(-486)*(-4*1)\/(-16).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1775.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*q + 52*q + 36*q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47962 - -11990517\/250. Calculate the common denominator of v and -7\/20.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1252\/(-3)*(-6)\/4. Suppose 0 = -z - 2*q - 18 - 141, -2*q + v = -4*z. Let m = z + 337. What is m rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqioiiiioikq. Give prob of sequence kjo.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 3 = 4*a. Put 0.1, a, -2\/3 in increasing order.\nAnswer: a, -2\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-j - j - j)*(-4 + 43 + 7) - 4*j + 4*j - 2*j)*(-j**3 + j - j).\nAnswer: 140*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.90487745 to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8848*v + 1429650 = 683*v for v.\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 + 2 - 2.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3491429 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 4*i**2 - 3*i + 3. Let o be n(3). Suppose o*j + 2*j = 40. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13756*p - 1014 with respect to p.\nAnswer: -13756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33922220 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i**3 - 2*i**2 + 6*i**3 + 7*i**2 + 10 - i**3. Is p(-4) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 194*d**3 + 1372*d**2*t - 811703*t with respect to d.\nAnswer: 582*d**2 + 2744*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(8\/5))**(-2)*(p*p**(2\/13))**(1\/13) assuming p is positive.\nAnswer: p**(1089\/845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3*(-7)\/(-21))\/((-252)\/((-3696)\/88)).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 + -40. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 - 3.98. Let t = -19.1 + 19.97. Let y = -0.13 - t. Which is the second smallest value? (a) y (b) o (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 5. Suppose m = -2*p, -4*r - 4*p + 25 = p. Suppose -4*b + r = -6. Solve 3*z - 14 = -b*d, 0*d = -4*d + 5*z + 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**3 - 2*t + 2. Let n(d) be the second derivative of d**5\/4 + 5*d**3\/6 - 5*d**2\/2 - 83*d. Determine -4*n(f) - 10*p(f).\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 23798160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1235103*f**3*y**2 + 2*f**3 + 2*f**2*h*y**2 + 4*f**2*h*y + 52*f**2*y - 2*f*y + 121*h + y**2 wrt y?\nAnswer: 2470206*f**3 + 4*f**2*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by -16.\nAnswer: 43\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2101120110102 (base 3) to base 10.\nAnswer: 1270982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8619086993*h**2 - 8619086993*h**2 + 106*h**3 + h.\nAnswer: 106*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2243847817?\nAnswer: 16193, 138569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-7) + (-543)\/11403. Suppose 2*v = 9 - 1. Suppose v*i - i - 15 = 0. Which is the smallest value? (a) -7 (b) i (c) 0 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + j. Give b(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.59*0.144.\nAnswer: -0.08496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d + 3 - 3*d**2 - 1 + 2. Suppose -35 = -j - 2. Let u(y) = 33*y + 246592 + 246573 + 24*y**2 - 493198. What is j*q(b) + 4*u(b)?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6*m = -20. Let t(r) = 24 - 4*r + r + m. List the prime factors of t(-14).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -303*j**2 + 49*j + 308*j**2 + 14*j as n + z*j + b*j**2 and give z.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89 - 8 - (45 - (98 + -23))?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (302\/453)\/((-30)\/(-108))*(-3)\/(3\/5).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 551\/406*14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523*w - 452*w + 1420 = 0 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - 2200 + w**2 - 2418 - 9*w**3 - w.\nAnswer: -9*w**3 + 2*w**2 - w - 4618","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-240)\/(-24)*291\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/2))**(-10)\/((u*(u\/u**(-10\/9))\/u)\/u**(-2)) assuming u is positive.\nAnswer: u**(-82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200510 (base 6) to base 14.\nAnswer: -5a42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/12 and -56\/6751245.\nAnswer: 27004980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -186*q**4 - 3202*q**2 - 7430*q**5 + 7430*q**5 + 2*q**6 + 49*q**4 wrt q?\nAnswer: 240*q**3 - 3288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 1. Suppose -2*m + 3*o - o - 2 = 0, 4*o - 3 = 3*m. Let j(t) = -12*t - 4. What is the least common multiple of j(m) and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1275156465 divided by -33\nAnswer: 38641105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -4, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 283.24 + -284. What is k rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 1\/4, -4, -0.2, 46, -5\/6?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a second in milliseconds?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -24558.\nAnswer: -24555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 854302?\nAnswer: 2, 427151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7 + 5)\/((-2)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 222.951 - 223. Let v = 1.694 - 3.383. Let h = p - v. What is h rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 9*s - 12*s + 7457, 5*d - 9365 = 5*s. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -177119, -3, -129 in ascending order.\nAnswer: -177119, -129, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130492 divided by 4?\nAnswer: 282623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - z = -76 - 189, 5*c + 5*z - 425 = 0. Let k be 6\/(-14) - c\/(-700). Which is smaller: k or 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -6. Suppose 0 = 4*j - 7*j + n. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 74*o + 412. Let y be g(68). Which is the third smallest value? (a) 1 (b) 0.13 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 11. Suppose -m*l = -3*w - l + 27, -4*w = -5*l - 41. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4973583 - 1094185739\/220. Let s = -126\/55 - n. Find the common denominator of 37\/(-18) + -1 + 3 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, 2, 1811 in increasing order.\nAnswer: 2, 108, 1811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**5 + 0 + 0)*(4 - 5 + 3) - x - x**5 + x + (-4*x - 6*x - 2*x)*(3*x**4 - 4*x**4 + 2*x**4).\nAnswer: -11*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*l + 83329 - 68919 = 0 for l.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 605788 to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 2:25 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {v: 6, z: 2, o: 4, t: 3}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (0 + -3 + 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 + 15*h - 7. Let c be i(13). Suppose -c = -3*a - 5*y, 2*a = -a + 2*y + 709. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3817 - -2644. What is the second smallest value in 3, -5, 0.1, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2405146?\nAnswer: 2, 107, 11239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.051 + -5.051. Let v = 136 + -128.9. Let x = 32.1 - v. What is the nearest to -1 in 0.3, t, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**5 - 12*c**4 + 36*c**3 - 20*c**2 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -19513c4 (base 14) in base 6?\nAnswer: -1125153440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 4151598.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -311 - -359. Sort b, 5, -3 in descending order.\nAnswer: b, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -3. Suppose 2 + t = -2*z. Let k = 20 + z. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16119 to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*d + 533 = 0, -2*y - d = -3*y + 529. Let r = 2110 - y. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6644 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 42. Let n = -0.04 - 0.36. What is the closest to -0.1 in p, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t*t*t*t**(12\/13)*t*t*t**(-2\/23)*t**(-1\/64)*(t\/(t*t**(-2\/33)\/t))\/t assuming t is positive.\nAnswer: t**(4976821\/631488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -20 + 0\/(-2) - -2. Let z = 10 + b. Let q(c) be the third derivative of c**4\/24 + 2*c**3\/3 + 20*c**2 - c. Give q(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - (-26)\/7) + 310\/7. Let t = s - -25. Is t a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -114, -478, -1092, -1956, -3070, -4434?\n\"Answer: -125*x**2 + 11*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 10*i + 5*i - 35, 4*y - 4*i - 36 = 0. What is the closest to 32 in -2, y, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1495, -1515, -1559, -1639, -1767, -1955?\n\"Answer: -2*w**3 - 6*w - 1487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 4218984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6995?\nAnswer: 5, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9))\/(7\/(-1) + 7828\/1140)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**4 + 9*g**3 - 4 - 21*g**3 + 13*g**3 to the form m*g**2 + a*g**4 + l*g + k + h*g**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 79938 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*c, 2*u + 18 = -3*u - c. Let k(m) = -4*m + 13. Calculate k(u).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 42\/(-6)*(2\/7)\/1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 15*x - 15. Let l(y) = -2*y + 12. Let k be l(0). Let g be z(k). Let s = 21 - g. Solve s*o - 5*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75\/25832863 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x - 6*x + 0*x. Let c be l(-1). Suppose 4*p = 2*z, -3*p + p = -4*z + 12. Put 5, p, c in descending order.\nAnswer: 5, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 w when two letters picked without replacement from {a: 3, w: 3, p: 1, f: 1, t: 6, s: 3}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/4993080 and 43\/30.\nAnswer: 4993080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 915 = 1053. What is the remainder when 131 is divided by m?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/27330875 and -46\/8829975.\nAnswer: 573948375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3\/2, -3, 0.049, -795\/7, -2, 0.05?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60420438.\nAnswer: 2, 3, 13, 86069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1394512 (base 11) to base 15\nAnswer: 323d00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -34?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**2\/2 + 215. Let r(c) = 5*c - 1. What is -30*k(n) + 5*r(n)?\nAnswer: -5*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -244 - -141.9. Let b = y - -32.6. What is b rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 2 = -3*q, -4*f = -4*q + 7 + 17 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 1460*l**3\/3 + 995*l**2\/2 + 1729. What is the second derivative of s(f) wrt f?\nAnswer: 2920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -133.\nAnswer: -1\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28080*h - 241*h**3 + 28080*h.\nAnswer: -241*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 38368?\nAnswer: -38373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 4*b - 87. Calculate the remainder when b is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9961059 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 174 - 12. Is i a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144628 divided by -346.\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3308 and 20?\nAnswer: 16540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -917, -3048, -7187, -14000, -24153?\nAnswer: -38312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/15 (b) 3\/35 (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 5 + 1 = 0. Let g be ((-1)\/u - -6) + -2 + -1. Suppose -43 + 3 = -4*s. What is the greatest common divisor of g and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -3\/17 (b) 0 (c) 0.1 (d) 5 (e) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 13*g - 27 + 11 + 17*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**4 - 2*c**3 - 8*c**4 + 9*c**4 - 2*c)*(3*c - c + 0*c).\nAnswer: 2*c**5 - 4*c**4 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00755313578 rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 545*a**2*s + 29*a**2 - 13*a*s + 29*a + 16*s wrt a.\nAnswer: 1090*s + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 546438594 and -0.5?\nAnswer: 546438594.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 7:51 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-340)\/(-6))\/(10\/165). Suppose 2*p - 865 = -5*d + 294, -4*d + p = -b. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 - 311*i**2 + 185*i + 4134. What is a(-156)?\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 6*l + 5. Let r be b(-5). Let o(f) be the second derivative of f**3\/6 - f**2 - f. What are the prime factors of o(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 125, 570, 1313, 2354?\n\"Answer: 149*k**2 - 2*k - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 2*u + 24 = 0. Let s(p) = 103*p - 99*p - 2 + u. What is s(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 5*w + 9, 0 = 2*c + 2*c + 4*w + 24. Let d = -4 - c. Suppose -d*t + 2*v + 977 = 0, 0*v + 1631 = 5*t - 4*v. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ik when two letters picked without replacement from sdkisizod?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 10*h - 9. Let r be g(2). Suppose 4*f - 43 = 5*s, -5*f = 3*s - 0*s + r. Let z(y) = y**2 + 10*y + 8. What is z(s)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 10*z - 4. Let a be t(9). Suppose a*h = -2*v - v, 3*v + 15 = 0. Solve m - h*m + 10 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -100*m + 597. Let c be n(6). Let b(z) = -2*z + 1. Let i(l) = -4*l + 2. Determine c*i(w) + 7*b(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -694, -690, -684, -676, -666, -654, -640?\n\"Answer: a**2 + a - 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.6 - 0.6. Suppose 4*f = -f + 25. What is the closest to d in 3\/2, -0.3, f?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 384 + -380. Which is the nearest to 4? (a) 2 (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 221*y + 2. Let j be u(0). Factor -k**j + 5\/3 + 2\/3*k.\nAnswer: -(k + 1)*(3*k - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850316.\nAnswer: 2, 212579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 0.5 (c) -0.0637 (d) 2\/9 (e) 16 (f) 2\/47\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-37)\/333*(2 - 1496117) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 990782 to the nearest ten thousand.\nAnswer: 990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47483 and 12272742.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -846 = 8*v - 26*v. Is 39 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 764*n + 0 - 6 - 756*n + 11. Calculate j(8).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 5 (c) -1.09 (d) 13 (e) 9291 (f) -2 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16296299 to 5 decimal places.\nAnswer: 0.16296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-15))\/(16*5\/120).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 26*l**2 - l + 163. What is the tens digit of c(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 1. Suppose -3*b - 3 + 12 = 0. Suppose -4*u + 17 = u - b*w, -2*w = -u + 2. Let z be q(u). Solve -2*a = 2*f - 12, a - z*f - f + 19 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtkseedtukdk. What is prob of sequence et?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-1243)\/(-198) - (-1)\/(-6)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 - 1120*c**2 - 23000*c - 116000.\nAnswer: 2*(c - 580)*(c + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1843*p**2*r**2*z**2 + 50*p**2*r**2 + 99*p**2*r*z**2 + 15*p**2*z - 28*p*r wrt r.\nAnswer: 3686*p**2*z**2 + 100*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence voo when three letters picked without replacement from {v: 2, e: 4, o: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 11:59 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - -39. Let k = -1.9 - -2. Put n, 1, k in descending order.\nAnswer: n, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82e0 (base 16) to base 3\nAnswer: 1200221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p. Let q(v) = 45*v. Determine -55*i(a) - 6*q(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2*h + 10, t + 2*h - 10 = -0*h. Let c be 0 + -1 + 2 - -1. Suppose -c*s + t*s = -22. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 2*p - 11. Let u = -78 + 83. Let r be n(u). Suppose 6 = 5*g - 9. Which is the second biggest value? (a) r (b) -7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18641931 by -1694721.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(4*i + 0*i + 5*i)*(-2*i - 3*i + 6*i).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2101 + 2101.1. Let s = 0.1 - 0.3. Let h = 0.2 + s. Which is the nearest to h? (a) 1 (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.42754 + 0.07246. What is the nearest to j in 0, -1, -39, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(12) - sqrt(3)))\/sqrt(7) - (sqrt(21)\/(sqrt(7) - -1*sqrt(7)) + 2)**2.\nAnswer: -19\/4 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1243 - -5?\nAnswer: -1236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 3*o**2 + 22*o + 52. Determine c(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 2. Suppose 2*n = -4*d + 3*n + 2, 0 = -2*d - 2*n - 4. Suppose d = -2*v + r - 7, 2*r - 3 = r. Let p(x) = -x**2 - x + 3. What is v*p(k) + 3*f(k)?\nAnswer: 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 258187 + -258185. Let 1\/3*x**4 - d*x**2 - 1 + 8\/3*x + 0*x**3 = 0. Calculate x.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-1.3814\nAnswer: -1.5814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 16 = v. Let p = 7 - v. What is the remainder when 6\/p + 214\/6 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -19*b. Let j(o) be the first derivative of -2*o**3\/3 - 1. Determine q(j(y)).\nAnswer: 38*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10670 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44.9 - 87423452495.\nAnswer: -87423452539.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 113 - 554*l + 1106*l - 23 - 553*l. What is the smallest common multiple of s(10) and 88?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 7 = -2*v - 2, -6 = -3*v. Let a(x) = -10*x**3 - x**2 - x - 1. What is the remainder when (-1)\/(-3) - 74\/(-3) is divided by a(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 10, -3*u + d - 6 = -1. Suppose -5*j - 81 = -3*z, -3*z = -u*z + j - 81. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 3. Let g = 3 + j. Let x be 5 - -2*(-70)\/55*2. Which is the biggest value? (a) x (b) -7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k. Suppose k = -u + 31 + 26. Suppose 4*v = 79 + u. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**6\/540 + v**5\/30 - 4*v**3 + 109*v**2. Suppose k(z) = 0. Calculate z.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 198.311 (b) -1 (c) 0.2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*u - 4*u + 84, 0 = -4*b. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680 is divided by 76.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2041561870 to the nearest one hundred thousand.\nAnswer: -2041600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -59577.\nAnswer: 59574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12716 and 1510773?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12626\/11 + -1149. Suppose 5*t = n + 35 + 530, 0 = -4*t - 4*n + 428. What is the common denominator of -21*((-72)\/(-168) - 62\/t) and k?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 469*h = 453*h + 1648. Calculate the remainder when 2880 is divided by h.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n*o**3 + 187*n*o**2 - 4*n - 84570*o**4 - 9*o - 3 wrt o.\nAnswer: 12*n - 2029680*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -10*v**3 - 7*v**2 - 7. Let x(r) be the second derivative of -r**5\/20 - r**4\/12 - r**2\/2 + 270*r. Give 4*o(q) - 28*x(q).\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 808 (base 14) to base 4\nAnswer: 120220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 17\/2 of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 29. Let x(d) = d**2 - 7*d. Let i be x(k). Suppose -b - l + i = -0*l, 5*b - 3*l = 204. What is the remainder when b is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1360385?\nAnswer: 5, 13, 20929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -3\/35, 0.3?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/(-245)*(-16)\/((-64)\/(-30))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -62*j**2. Let u(y) be the first derivative of y**4\/12 - 2*y**2 - 5*y - 61. Let v(d) be the second derivative of u(d). What is v(q(o))?\nAnswer: -124*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 + 20 - 37 + 16 - 233908*f.\nAnswer: f**2 - 233908*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9543 + 9543. Solve z = 28*y - 25*y + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 439843.1 grams to kilograms.\nAnswer: 439.8431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(5*w**4 - w**5 - 5*w**4).\nAnswer: 2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 4*u**2 - 12*u + 1. Determine f(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -100030210 (base 4) in base 5?\nAnswer: -4110330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-48262)\/(-2) + (-9 - -1). Let s = 67066 - c. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*n + 8. Solve -q + 0*q + 10 = -5*h, n*h + 24 = 4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.427 and -0.4?\nAnswer: 0.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20*(-4)\/(-8) - 0. Let j = -8 + b. Is 6288\/15 + j\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1148\/492*18\/7. Let t(w) be the third derivative of 1\/8*w**4 + 1\/120*w**m + 1\/6*w**3 + 0 + 1\/20*w**5 + 0*w + 19*w**2. Suppose t(a) = 0. What is a?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n + 13. Suppose -22*w + 23*w + 4 = 0. Let t be j(w). Calculate the highest common divisor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116084298 is divided by 265?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -4. Let f be ((-1)\/u)\/((-1)\/(-9)). Suppose -2*r + f*r = d - 8, 5*d - 2*r = 28. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + y + 3*y)*(-11*y - 5*y**2 + 2*y**2 + 30*y).\nAnswer: 6*y**3 - 38*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 9. Let u be (-15)\/100*-15*12\/(-36). What is the second smallest value in u, r, -15\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.65178 micrometers in nanometers?\nAnswer: 13651.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b57ba (base 15) to base 13.\nAnswer: -78bb48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 11, s: 5}. What is prob of picking 4 o?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 461 + -460.6. Let m be (1 - (-2 - -6))\/1. Which is the closest to -0.08? (a) m (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 1 (b) 2\/5 (c) 0.1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**2 + 180*i - 1673. What is m(9)?\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486*s + 0 + 834*s - 38.\nAnswer: 348*s - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7961*z**4 - 98482 wrt z?\nAnswer: 31844*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/((-4)\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/11)\/(31\/(-310)*5*1).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {m: 11, o: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/42 - 14\/3. Let v(c) = -c**3 - 5*c**2 - 4*c - 3. Calculate v(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 7*b + 6. Let l be g(-7). Suppose l = 4*h - 2. Let u = -11 - -14. Solve -u*o = -4*v - 0*v, v = h*o for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 91103 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 33, -154, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**9\/252 + 7*a**6\/24 + a**5\/10 - 2*a**3\/3 - 272*a**2 - 2*a. Find the third derivative of d(w) wrt w.\nAnswer: 240*w**3 + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-8) + 109\/8. Suppose -4*n + 94 = b. Solve -s - 4*s - n = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10*2\/4 + 0. Suppose -14 = -2*q + 2*s, 0 = -d*q - 0*s - 3*s + 3. What is the highest common factor of q and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*f - c + 10, 5*f - 16 = 3*c. Suppose 0 = 542*h + 81*h - 1246. Solve -f = b + h, -2*a + b = -4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12a8a3d - -8?\nAnswer: 12a8a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -6. Suppose -5*s = -m - 10. Solve s*b - 3*b - 3 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 8. Let y(b) = -3*b + 65 + b**i + 0*b - 69. List the prime factors of y(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-483)\/((-102879)\/142))\/(19\/(-3))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n - 8. Let v(z) = -1 - 636*z + 1 + 641*z. Let h(p) = 13*p. Let i(d) = -3*h(d) + 8*v(d). Give i(g(j)).\nAnswer: -6*j - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*x - 9*x + 30 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - -1*(5 - 2). Find the second derivative of -2*c**2 - 9*c**2 + 11*c**2 - c - 23*c**z wrt c.\nAnswer: -460*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1039 divided by -6167?\nAnswer: -1039\/6167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -7*l + 0*l**2 + 1\/2*l**3 + 0. Let v(b) = -6*b. Let w(r) = 2*r. Let p(i) = 3*v(i) + 8*w(i). Give f(p(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10468608067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3093, -8, -0.4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 23*o**2 + 92*o + 22. Give y(-18).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 3*g**7\/70 - g**6\/20 + g**5\/60 - 5*g**2\/2 - 10*g. Let b(y) be the first derivative of z(y). Let b(q) = 0. What is q?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 586330600*j**2*w + j**2 + 12771615 wrt w.\nAnswer: 586330600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -951*b**2 - 1. Let s be d(1). Let r = -27614680\/28951 - -3738\/1703. Let m = s - r. Which is greater: m or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l + g = 15*l + 2008, 0 = 4*l - 2*g - 1598. Is l a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1 = -3. Is (z*293\/(-2))\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-273)*18\/(-8)*-2.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 4 + (-24 - -20) - (-1 + -11).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**2 + 5*a. Let u(i) = -4*i**2 + 3*i - 5. Let t(h) = 6*h**2 - 5*h + 7. Let o(d) = 5*t(d) + 7*u(d). Calculate 4*m(s) + 5*o(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-15))\/((-118)\/60 - -2). Let s(i) = m - 7*i - 2*i + 10*i. What is s(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 0.4, 2, 3, -515?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 4*p = -4*z + 1552, -5*p + 2*z = -1534. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 253, -4, 94?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-5))\/q**(3\/11))\/(q*q**(-2\/3)*q*q\/(q\/(q*q**(2\/11)*q))) assuming q is positive.\nAnswer: q**(-257\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 14) to base 7\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 325 (base 9) to base 5\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-360)\/27)\/(-8))\/(160\/3072))\/((-2)\/6)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88423552961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + (6 - 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.34 + -5.91. Let r = u + 1.5699185. What is r rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * -151.\nAnswer: 90.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4277 + 4282. Let d be 0 + (15\/(-3) - -1). Let p = d - -8. Solve 0 = -w*y + 2*f - 5, 3*y = -y + 4*f - p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20990\/11 - -1910. Which is smaller: r or 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 28?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -25*v - 65. Calculate y(-8).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78169 + 15891. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 353\/6. Let o be (-39)\/(-63) - (-2)\/(-7). Suppose -21 = 3*j + 3*r, -3*r + r - 10 = 0. Sort o, v, j in descending order.\nAnswer: o, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 976086120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367*t**2 - 449*t**2 + 73*t**2.\nAnswer: -743*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/20*(-5)\/8. Is j < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 + 28. Let l be (-1)\/1 + 39\/z. Which is the third biggest value? (a) l (b) -0.01 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n*x**2 + 2*n*x + 7985680*n - 496*x**2 + 21042 with respect to n.\nAnswer: -x**2 + 2*x + 7985680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 14*a + 3*a - 782 for a.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 187 and 6527065?\nAnswer: 71797715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 7:40 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 + 3*o - 5999. Let g(c) = -16*c**2. Determine j(g(l)).\nAnswer: -512*l**4 - 48*l**2 - 5999","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 588.6 + 191.4. Let y = 779.998608 - w. Round y to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -120044 > 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 57.2 and -0.04286.\nAnswer: -2.451592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/27*1*(-338)\/169?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2.1. Let q(z) = z - 5. Let x be q(8). Suppose 1 = -n - x. Which is the closest to 0.1? (a) n (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -389, -1112, -2165, -3548, -5261?\n\"Answer: -165*x**2 - 228*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, w: 1, g: 1, t: 2, m: 4}. Give prob of sequence tdtg.\nAnswer: 1\/2340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 334, 1565, 3684, 6691, 10586, 15369, 21040?\n\"Answer: 444*y**2 - 101*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100 + -40. Suppose q - m = 64. Is q a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 15 = 9. What are the prime factors of 51\/s*6 - -1?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 68155239 + -76209.\nAnswer: 68079030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 3:18 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 3*p**5\/20 - p**2\/2 + 2*p + 2. Let b(j) be the first derivative of f(j). Differentiate b(v) wrt v.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 40*y**2 - 2*y + 3. Let v be q(1). Let j = v - 38. Solve b + 0 = 2, -19 = j*r - 2*b for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6634965 divided by -1893\nAnswer: -3505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -137931\/2 greater than -68965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from ujmpe.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/486 and 2176\/1530 + 6\/(-4)*(-3)\/9.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3))**(-5)\/(w*w*w\/((w*w\/w**(-2\/19)*w)\/w)*w)**(1\/14) assuming w is positive.\nAnswer: w**(1977\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17\/117 + 2\/9. Let t = z - -9\/52. Let a be 2\/8 - (-1)\/(-20). Put t, a, -1\/10 in ascending order.\nAnswer: -1\/10, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 divided by 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 246735370 divided by 5\nAnswer: 49347074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5519709967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 2*z = 6 - 1, -25*h - 2*z - 160 = -85*h - 52*h - 730 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*t + 376, -3*v + 298 - 9 = -2*t. Suppose -m = -1, -79 = -b + 2*m + v. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -4\/26726059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 2*r - 6*r + (-4*r + 4*r + r)*(-1 + 3 - 4) - 3*r - 3*r - 2*r)*(5*r - 4*r + 0*r).\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b - 16 = -3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = n - 11. Let y = n - 13. Let u = y + 21. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 i when four letters picked without replacement from kkikkiikkkk?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -30, -0.09, 1\/6, 5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 + 108. Suppose 2*w + 4*y - z = 0, -3*w + 11 = -2*w + 3*y. Calculate the remainder when 77 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 836036087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 22. Let g(q) = 2*q**3 + 10*q**2 + 8*q - 4. Let w be g(o). Is (-4)\/w - 3\/2*-156 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p. Let y(z) = 4*z**3 + z**2 - z - 2. Let i be y(-2). Let w = -16 - i. Let d(m) = 3*m**2 + 12*m - w*m. Calculate r(d(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*sqrt(66)*5*1)\/(sqrt(384) - -4*3*sqrt(384) - -6*(sqrt(384) - (sqrt(384) - -1*sqrt(384) - sqrt(384)) - sqrt(384) - sqrt(384))).\nAnswer: 75*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7021*z - 1405*z - 195231 - 136113 for z.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169963?\nAnswer: 349, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 2)\/((-2)\/5). Let a be ((-50577)\/(-6))\/(j - -1). Let h = a + 2110. Find the common denominator of h and 53\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -26*z - 6. What is the units digit of d(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-9)\/(-6))\/(6\/124) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 228507 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 4, d: 1, x: 2, o: 1, r: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 463.9132 days in minutes?\nAnswer: 668035.008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14313438, -28626874, -42940310, -57253746?\n\"Answer: -14313436*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5360 and 12395.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*h**3 + 2*b**3*h**2*r - 4541*b**3*r**3 - 525*b*r**2 - 2*b*r - 48*h**3*r**3 + 121*r**2 wrt r.\nAnswer: -27246*b**3 - 288*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h - 28. Let f be p(9). Let r(g) = 45*g**2 + 215*g + 350. Let q(y) = -5*y**2 - 24*y - 39. Let i(s) = f*q(s) - 6*r(s). Factor i(n).\nAnswer: 5*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 188670 (base 11) to base 2\nAnswer: 1000110101101011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -510 by 102.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2572, 2320, 2516, 3664, 6268, 10832, 17860, 27856?\n\"Answer: 84*k**3 - 280*k**2 + 2768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 9:00 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(80) + 2)**2.\nAnswer: -32*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/105 and -41\/124656.\nAnswer: 623280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(7\/9)*y)**(-5)\/(y\/(y*y**(-37)))**(2\/65))**37 assuming y is positive.\nAnswer: y**(-217042\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6903666 divided by -18459?\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -22.2 (c) 5 (d) 6 (e) -1708\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -46 + 2 + (15 - 8 - -19)\/(-2)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 - -131. Suppose -5*n + 112 = -4*d, h = 2*n + 7*d - 2*d. Solve -5*k + n = 3*u, 0 = -3*k - 2*u - u + 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-2)*4\/(-2). Suppose -s*g = -g. Suppose g = -2*a - 3*a + 30. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5591*m**3 + 348*m**2 - 9*m wrt m.\nAnswer: -33546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2381*m + 2323*m - 290 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261726?\nAnswer: 2, 3, 181, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 20, 10, 2, -3, -31 in descending order.\nAnswer: 20, 10, 3, 2, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5.78+0.6374550868\nAnswer: -5.1425449132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/10 + (-5)\/10. Let d be (-2)\/(-12)*9\/((-45)\/(-10)). What is the nearest to -1\/4 in q, d, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 i when four letters picked without replacement from hinghitrhhthhii.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 301 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 8:23 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/3 - (-262)\/(-6). Let l(c) = -c**3 - 3*c**2 + 24*c. Let f be l(-6). Let s = f - j. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42\/13*p + 392\/13 - 2\/13*p**2 = 0.\nAnswer: -28, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 2*k - 30 = 3*a, a + 5*k + 21 = 0. Suppose -a = -2*u + 4. Is (5 - u)\/(1\/37) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19895 - 19896. Let a = -29\/54 - -1\/27. What is the closest to -1 in a, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -292 - 2?\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 111504196 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: Expand (3*g**5 + 0*g + 0*g)*(-2 + 1 + 0)*(11 - 46 - 59).\nAnswer: 282*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.8493 less than 2095479?\nAnswer: 2095489.8493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**2 + 2*c + 5. Let p = 310 + -308. Let m(u) = 2 + 44*u - 40*u + 2*u**p + 6*u**2 + 9. What is -4*m(d) + 9*x(d)?\nAnswer: 4*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -301, -1264, -3015, -5686, -9409, -14316, -20539?\n\"Answer: -22*m**3 - 262*m**2 - 23*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*-330\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.193238kg in milligrams?\nAnswer: 193238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9912281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2005806*f. Let r(d) = -d. Calculate u(r(n)).\nAnswer: 2005806*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 4*c**2 + 3*c + 5. Let g be b(-4). Is g at least as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 33*o - 38*o - 41, -5*j = 61*o + 539 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1084 divide 23793800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/6 - 22912*b**2\/3 - 137465*b\/6 - 45821\/3.\nAnswer: -(b + 1)*(b + 2)*(b + 45821)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 50155240 (base 7) to base 16\nAnswer: 3f4c90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-7) + (-21)\/588*8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x + 20. Let m(w) = -4*w - 13. Let s(v) = -8*m(v) - 5*n(v). Suppose 0*u - 3*u - 6 = 0. Let d be s(u). Solve y + 3 = d, 4 + 10 = l - 5*y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139920 (base 11) to base 5.\nAnswer: 23434224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626365967.\nAnswer: 626365967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6898.018 rounded to the nearest ten?\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 45*2.31\nAnswer: 103.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537745 is divided by 53772?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 3*z + 1. Let a be b(4). Let w(u) = 4*u + 2*u - 3*u - a*u. Let t(f) = 3. Let d(n) = n**2 - 4. Let h(o) = -3*d(o) - 4*t(o). Calculate h(w(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5756 divide 108155240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -47. Suppose -12*u = -g*u + 5. Sort 0, 19, 3, u.\nAnswer: 0, u, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**10\/105840 + j**9\/2940 + 59*j**4\/4 - 5*j - 9. Let b(i) be the third derivative of v(i). Let b(g) = 0. What is g?\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11022 (base 3) to base 12.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-11)*(-210)\/735.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -4, 3069 in increasing order.\nAnswer: -4, 42, 3069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Suppose 8 = 2*b + r. Suppose -b*u + 2 = -25. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -x + 3. Suppose -x*t = t + 12. Let o be 1\/t + 10500001\/3. What is o rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50401 smaller than -53854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 185 + 3262?\nAnswer: 3457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -32*(-494)\/7696 + (-4)\/74 + (-3120)\/1530?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/3, 19905\/8, 1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1595 (b) -1 (c) -5758\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2)*((42*i**2 + 222*i**2 + 30*i**2)*(i - i + 2*i) + (3*i - 3*i + 3*i**2)*(-i - i + 9*i)).\nAnswer: -609*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 813 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6467.255ug to milligrams.\nAnswer: 6.467255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*((-3)\/1)\/(-9). Is -1*s\/(-1)*-11863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 251129*c**4 + 2*c**2 - 15*c - 15775 wrt c?\nAnswer: 6027096*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -9. Suppose 53*f - 33 = 50*f. Suppose -f*o + 16*o - 15 = 0. Solve -a = 3*v + o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -145\/9, -1, 1, -0.2?\nAnswer: -145\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5\/7 - 121*f**4\/7 + 3208*f**3\/7 + 27632*f**2\/7 + 34816*f\/7 - 65536\/7 = 0. Calculate f.\nAnswer: -4, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010 + -11?\nAnswer: 100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2297962?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c91 (base 16) to base 8.\nAnswer: -6221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 e when two letters picked without replacement from yyqme?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 - 119 + 15*t - 98 + 323.\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11144.000007129 - 11144. Round i to 7 dps.\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(-9956 - 9962 + 3765*j - 9965 + 29883) - 2*j + 3*j + j.\nAnswer: 3767*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-5 - (1 - 0 - (-4 + -23)))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4aa13 + 2?\nAnswer: -4aa11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 389.8388km in micrometers?\nAnswer: 389838800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a**2\/11 + 230826*a\/11 + 230832\/11 = 0 for a.\nAnswer: -1, 38472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 16625*x**5 + 88*x**2 + 19121*x. Let l(p) = -3325*p**5 - 16*p**2 - 3824*p. Let w(a) = -2*h(a) - 11*l(a). What is the second derivative of w(n) wrt n?\nAnswer: 66500*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001839315 rounded to 6 decimal places?\nAnswer: 0.000184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4117626*z**2. Let i(s) = 32*s**2. Calculate i(x(g)).\nAnswer: 542555004028032*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuun when four letters picked without replacement from uunnnnunnnnunnunun.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 + 2*g**3 + 4*g**3 + (2*g + 2*g - 3*g)*(-g + 5 - 5)*(16*g + 77 - 77).\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 2 = -9*r. Suppose 2*x - s = 55, -4*x + 41 = -s - 74. Suppose -r*y + x = 4*w, -4*w - w - y = -30. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -39. Let r = m - 46. What is the closest to -2\/3 in r, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 + 0.07.\nAnswer: -16.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14895 and 22155?\nAnswer: 21999915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18927 + -18801. What is the remainder when 1549 is divided by n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 14, f: 4}. What is prob of picking 2 f?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-9))\/(1\/(-27)). Let y be 3*2\/q - 0. Let t = 3 + -1. Is y at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*k - 23*k - 23*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 33720029.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 4. Let r(u) be the second derivative of 1\/2*u**4 + n*u**2 + 0 + 0*u**3 - 2*u. Let x(q) = q. Give r(x(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -4, 12 in increasing order.\nAnswer: -16, -4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*m = 664, -j - 76 = -3*m + 256. Let f = j + 523. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268912 rounded to the nearest one thousand?\nAnswer: 269000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5553, 22241, 50103, 89145, 139373, 200793, 273411, 357233?\nAnswer: 452265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1260\/50 - (-2)\/(-10). Suppose 5*r + v = -0*r. What is r rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, 26, -77, -2\/13, 6, 2 in decreasing order.\nAnswer: 26, 6, 2, -0.11, -2\/13, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -690? (a) -35 (b) -1.902 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) -2367 (b) -6.28 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14 and -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 8. Let q(t) = 6*t**2 - t + 2. Let s be q(b). Suppose -v - 10 - 14 = -a, 2*a - s = 3*v. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16003824 and -164.\nAnswer: -16003988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1) + (3 - (-6 + 12))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2772019908 - 1.\nAnswer: -2772019909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 14*t**2 - 5*t + 6. Let q(m) = -3*m**2 + m - 1. Let p(f) = 30*q(f) + 6*u(f). Let n(d) = -3*d**2. What is n(p(x))?\nAnswer: -108*x**4 + 216*x**2 - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -28477893 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2954 - -30174. List the prime factors of s.\nAnswer: 2, 5, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89195*v + 52 = -5*p + 89198*v, 7*p - 4*v - 2 + 71 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*l + 285 = -33*l. Let t = l + -17. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.753 times -911?\nAnswer: 685.983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-201*u + 160*u - 1378*u)*(-2*u**2 - 3*u + 3*u).\nAnswer: 2838*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -49014 divided by 1\nAnswer: -49014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.029 and 0.062.\nAnswer: 0.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -382, -854, -1514, -2362?\nAnswer: -3398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*q + 14 - 17*q + 24*q in the form d*q + p and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -238\/5 (b) -13 (c) -21 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 2614405?\nAnswer: -2614403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1496 = -113219*u + 113185*u. Let t be 90\/2 + 2\/(-1). Solve 4 = -t*o + u*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8758777 minutes in microseconds?\nAnswer: 52552662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221210200 (base 3) in base 16?\nAnswer: e340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 524439 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j = 44. Let l = j - -31. Calculate the least common multiple of 10 and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 459*t**2 - 9 + 9.\nAnswer: 459*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -159 - -167. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 49472.403 and 0.4?\nAnswer: 19788.9612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70430 is divided by 272?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 4*m + 4, -3*j = 2*m - 3 - 15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**3*g**3 + 2*f**3*r**2 + 2*f*g**2 + 5*f*g*r**3 + 12*g**3*r**3 + 2*g**3*r - 2*g*r wrt g.\nAnswer: -12*f**3 + 72*r**3 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 10*o**2 - o + 6. Let r be j(-10). Let g = 9 + r. Suppose 85 = c - g. List the prime factors of c.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.005 - -0.305. Is p < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 (base 3) in base 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*f + 6. Calculate the lowest common multiple of 10 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**3 + 3*m - 4. Determine i(3).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7*y**3 - 12*y**2 + 9*y - 9. Is h(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 40*l + 70. Let r = 42 - 82. Let h be x(r). What is the highest common divisor of h and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(126) + sqrt(14))\/sqrt(2)*6 - -6*(sqrt(448) + 0)))**2.\nAnswer: -288*sqrt(7) + 36292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 75*z**2 + 350*z - 15. Determine a(-70).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 103752 and 2970?\nAnswer: 1556280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.163 + -1.153. Let q = -127.01 + c. Let z = -127.999736 - q. Round z to five dps.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605)*2 + 2 + (sqrt(605) + -1)**2 + -2.\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -650, -1643, -2958, -4553?\nAnswer: -6386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y - 3. Let x be w(2). Let f be -9 + x*-2*1. Let t = f - -19. What is the remainder when t is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*w**3 - 37*w + 20*w - 6*w**3 + 17*w.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -i - 12 - 9, -2*i = -5*c + 24. Suppose c*v - 4*v = 5*j + 4, -3*v + 3*j + 6 = 0. What is the least common multiple of 36 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ruu when three letters picked without replacement from sruus.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 2:25 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p + 49 + 7 - 2*p + 0*p. Let w be a(10). Sort 23, w, -3 in descending order.\nAnswer: 23, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84125\/239 + -352. Let f = 5515\/1434 + u. Calculate the common denominator of f and 79\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**6\/360 + d**5\/30 + 7*d**4\/24 - d**3\/3 + 173*d**2\/2 - 293. Let x(g) be the third derivative of w(g). What is x(7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 280*j**2 - 513 wrt j.\nAnswer: 560*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*y + h - 5, 16 = 4*h. Let w be 52 + (1 - (0 + y)). Let v = w - 32. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13724710?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7550 and 35.\nAnswer: 52850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 739 + -725. Suppose 31*l - c*l - 21641 = 0. What are the prime factors of l?\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/5 in 2\/3, 0.02, -1311, 1\/9?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -123231420 divided by -13?\nAnswer: 9479340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**3 - 4065*q**2 - 1259454*q + 2535192 = 0.\nAnswer: -873, -484, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-28) - 6\/((-72)\/582)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 295 + 29*x**2 - 30*x**2 - 3*x - 83. What are the prime factors of f(0)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 4*p. Let x be (1\/2)\/(3\/18). Suppose 4*f = -20, 3*f - x = 4*t + 2. Calculate g(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 3) to base 14\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 3*w**4 + (-4*w**2 + w**2 + w**2)*(5*w - 6*w**2 - 5*w).\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 276 + 54. Let i(t) = 6*t**2 + t + 16. Let n be i(-3). Let f = b - n. What is the fourth smallest value in -4, f, -0.2, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**3\/6 - 7*a**2\/2 + 69*a. Give r(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*(-3*(3*sqrt(300)*1 + sqrt(300) - (-1 + sqrt(300) + -2 - sqrt(300))))**2.\nAnswer: -86561 - 4320*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + m - 5*m)*(42*m**3 - 23785*m**2 + 23785*m**2 + m**4).\nAnswer: -2*m**5 - 84*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(700) + 2 + sqrt(700)))**2 + 4 + -5.\nAnswer: -1440*sqrt(7) + 25343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**3\/6 + 11*p**2\/2 - 4*p. Let z be n(-9). Find the third derivative of -2*x**6 - 2*x**2 + 6*x**6 - 2*x**z wrt x.\nAnswer: 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 5*k - 35. Let n = k - 7. Let j = n - -5. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 0*t**2 + 1\/3*t**4 + 0*t**3 - t + 0. Let k(a) = -3*a**2. What is k(o(n))?\nAnswer: -48*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585526941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 w, and 1 n when three letters picked without replacement from {n: 7, c: 9, w: 3}?\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36496 - -63253. What is the ten thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 10:34 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7425936 and 972444?\nAnswer: 81685296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44\/119 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123 divided by 7.\nAnswer: 123\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (33 + -10) - -6 - 36\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/5*l**3 - 4\/5*l**2 + 0*l.\nAnswer: -2*l**2*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 2316*r - 44364. What is c(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 11056 - ((-1258)\/(-187) - 12\/(-44))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -27\/2. Let q = 26.5 - 26. Which is the smallest value? (a) 1\/4 (b) q (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*b**2 + 0)*(b**3 + 7 - 4 - 3*b**3) - 5*b**5 + 3*b**5 + 3*b**5.\nAnswer: 7*b**5 - 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 7*z - 3. Suppose 2*g + 2 = -4. Let o = 5 - g. Let d = -13 + o. What is a(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -348823687*p**2 - 223028970 wrt p.\nAnswer: -697647374*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1630 (base 7) in base 2?\nAnswer: -1010010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.9 + -5.9. Let s = 22 + v. Let t = 0.83 - 1.33. Which is the second smallest value? (a) t (b) -1\/7 (c) -4 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1344121486?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*f + 255 + 5 = -224. Suppose -p - 4 + 13 = -l, 13 = p + l. Solve h = 2*c - 3*c + 5, f*h - 5*c = p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3745098 divided by 2?\nAnswer: -1872549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -0*y + 28. Suppose 2*v = q + 2, -y - 3 = -5*v. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v - 2. Let r be j(1). Suppose r*l = -3*l, 2*l = -5*w + 30. Suppose w*p = 18 + 18. Solve -p = z - 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4770*q + 3563183. Give y(747).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 11:04 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1*3)\/(210\/28). Put -5.4, c, -0.5 in descending order.\nAnswer: c, -0.5, -5.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 6*c + c**3 + 4*c - 3*c + c**4 + 4*c in the form t*c**2 + d*c**3 + q*c**4 + j + y*c and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -18\/1021273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(5\/6)\/y))**(28\/9) assuming y is positive.\nAnswer: y**(14\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*i**2*z - 2*i**2 - 55*i*z + 3*i wrt i.\nAnswer: 78*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 3100?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103443 + 93229.4. Round o to the nearest ten.\nAnswer: -10210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 23*n + 229618 = -228078. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 154*l**2 - 774*l - 3040. Determine x(8).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*j = 440. Let m(q) = -q - 6. Let h be m(-6). Let y(s) = -s**2 + s + 11. Let w be y(h). What is the greatest common divisor of j and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*n - 2*n + 10, 2*d = -4*n. What is the derivative of -2*g**4 + 3 + n*g + 3 - 2*g wrt g?\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142567314.\nAnswer: 2, 3, 373, 63703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, 14.39, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4760 less than 1160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -928 divided by 29.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 678587951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5112 (base 11) in base 5?\nAnswer: -204124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a meter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3888.9555 - -10149.\nAnswer: 14037.9555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8794.6 - 8795. What is the second smallest value in g, -3\/14, -0.3, 3, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 671247 and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009106 rounded to 4 decimal places?\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387 - 2097 = -2*z - 2*d, -5*z - d + 4255 = 0. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 7:31 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, 0.3, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnnnvnnnnn. Give prob of picking 3 n and 1 v.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 756450550?\nAnswer: 756450554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-106*(-8)\/(-8))\/4 and 113\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431741105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 9*h - 4 = 0. Suppose -2 = -h*z + 6. Suppose -9 = -3*l + z*l. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/22? (a) -345 (b) -0.1 (c) 2\/3 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 80\/(-20)*((-4)\/(-10))\/(((-22848)\/40)\/(-14))\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 4*n - 12, -5*d = -2*n + 24 + 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012301032 (base 4) in base 11?\nAnswer: 188869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 12. Suppose 5*g - r = 5, 3*s = -4*g + 5. Let m(p) = -p**3 + 6*p**2 + p - 8. Let b be m(6). Is s at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + (-520)\/100)\/((-8)\/(-20))*(5 + -6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -1. Let y(d) = -6*d - 4. Let r be (-2 - -3)\/((-1)\/5). Let z(s) = r*m(s) + y(s). Suppose 2*q - 3*v = 8, -13*q + 17*q + 2*v = 0. What is z(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + -0.4. Let s = -0.23 + 0.23. Let f(x) = -x + 6. Let i be f(6). What is the nearest to s in i, -4, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 12) to base 13.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) -11 (c) 583 (d) 7 (e) -2\/13 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3383232808 to the power of 1\/4, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*h = -f + 36, h + 28 = 2*f. Calculate the lowest common multiple of f and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t + 2 = 0. Suppose 8 = t*d - 12. Suppose 5*r = -0*r + d. Which is smaller: 3\/2 or r?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w**3. Let y(a) = -a**2 + 6*a + 15. Let l be (-148)\/(-18) - 4\/18. Let z be y(l). What is p(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -724667, -1449337, -2174007?\n\"Answer: -724670*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 10, 4*u - 6*o + 3*o - 31 = 0. What is the units digit of -2 + u\/((-12)\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1279509 - -2b?\nAnswer: -127949a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554*z + 548*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 7702029.01907 and 0.\nAnswer: 7702029.01907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13070916 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*j**3 + 10*j**2 + 152*j wrt j?\nAnswer: 192*j + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from bggggbggfzgbgfbg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, 22, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 5*q = -34, 5*n - 15*q + 22*q + 118 = 0 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 2964*i - 2163924.\nAnswer: -(i - 1662)*(i - 1302)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -83b949 (base 12) in base 3?\nAnswer: -10220022221010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 - -20201?\nAnswer: 20113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -37.53?\nAnswer: -38.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2870, -3, 15, 0, -13, -1, 5.\nAnswer: -2870, -13, -3, -1, 0, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -37*k + 377. What is m(9)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -12*t**4 - 3*t**2 + 21\/5*t**5 + 0*t + 11*t**3 - 10. Factor a(m).\nAnswer: 3*m*(m - 1)**2*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1948*c*k**3*s + 46*c*k**2*s**2 + 15*c*k - 19*c*s + 5*k**3*s**2 - 8463*k*s**2 wrt s.\nAnswer: 92*c*k**2 + 10*k**3 - 16926*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32 * 0.89193.\nAnswer: -28.54176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-275)*3\/(-3).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y. Let f(v) = 146*v**2. Calculate d(f(c)).\nAnswer: -292*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 14*r**2 + 8*r - 6. Let k(a) = a + 1. Let o(x) = -5*x**2 + x + 6. Let j(s) = 4*k(s) - o(s). Calculate -3*d(b) + 8*j(b).\nAnswer: -2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002543666362 to six decimal places.\nAnswer: 0.000254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -633 and 0.3?\nAnswer: -189.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258*o**3 + 601*o**3 - 376*o**3.\nAnswer: -33*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4940499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 630\/(-2205)*3*(0 + 1)\/(-2)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 26. Let k(x) = -x**3 - 20*x**2 - 79*x - 61. Let p be k(-15). Let d be ((8 - 4)\/4)\/(p\/l). Calculate the highest common divisor of d and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (sqrt(80) - (sqrt(80) + 4*sqrt(80) + sqrt(80))**2)) - (sqrt(180) + -3)*1*-3.\nAnswer: -11513 + 34*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 37*z**2 - 113*z + 38. Calculate v(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p - 5. Let q(f) = 14*f + 14. Suppose -r = -6 - 11. Let g(n) = r*k(n) + 6*q(n). What is the first derivative of g(i) wrt i?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 109 (b) -2 (c) 0 (d) 1143 (e) 0.14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 8. Which is the biggest value? (a) m (b) 2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 373 and 0.032057.\nAnswer: 11.957261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w = 13*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1330 and 950?\nAnswer: 6650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5172*y**2 - 710*y**4 - 164*y**4 + 2 - 2*y**3 + 5173*y**2 in the form o*y + d*y**2 + i + c*y**3 + k*y**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15798121*m**6 - m**2 - 1924536*m - 1 wrt m?\nAnswer: -1895774520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 4\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1640 + -961. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15011)\/935 + 16)\/(((-9585)\/50)\/(-71))\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*w - 42 + 44*w + 42 as x + f*w and give f.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 0 + 0*u**2 + 1\/20*u**5 - 19*u - 1\/45*u**6 - 3*u**3 + 1\/12*u**4. Let y(t) be the second derivative of o(t). Factor y(x).\nAnswer: -2*(x - 1)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v**2. Suppose 0 = 4*h - 2*p - 18, -3*p = h - 5*p - 12. Let o(c) = 8*c**h - 5*c**2 + 0*c**2. Give b(o(j)).\nAnswer: -63*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 4. Let y(g) = g - 11. Calculate the remainder when y(18) is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6578, -9519, -12460, -15401?\n\"Answer: -2941*x - 3637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 7 = -15. Suppose 2*z - 8 + o = 0. Solve -w - w - z = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 3*u**2 - u - 2. Let r be z(2). Differentiate r*y - 8 - y - y + 5 wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 169.368 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 9:23 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -28 - (-305 - -338).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1017, -8270, -27969, -66330, -129569, -223902?\nAnswer: -355545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -117 - -514. Calculate the remainder when o is divided by 5\/((-30)\/(-116)) - 54\/(-81).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9390, 18859, 28342, 37845, 47374, 56935, 66534, 76177?\nAnswer: 85870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2. Let y(f) = 3*f + 2. Let o(i) = -i - 1. Let x be o(-8). Let r(m) = x*m + 16*m + 16*m + 27. Let c(q) = 4*r(q) - 54*y(q). What is u(c(v))?\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4, 2*x - 42 = -2*h + x. Suppose 1624 = 26*s - h*s. Is s a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 2\/5, -4, 5.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6 + 5 - 5*m + 7*m**2 + 12. Is 23 a factor of p(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 13 = q + 3*l, -2*q = -l + 5. Let s = -1 + 1.1. Let x = 0.5 - s. What is the third smallest value in q, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 times -5?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 + -7 - (4 + (0 - -2)) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121 - 7 = 31*v + 33*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 6. Let a(p) = -11*p - 2. What is the remainder when a(-4) is divided by c(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 787 - 325 = 77*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -1. Suppose 2*z - 26 = -3*l - 11, -4*l = 5*z - 13. Let w(i) = i + l*i - 6*i - 1. Let y(v) = -3*v + 1. Determine b*w(t) + 4*y(t).\nAnswer: 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1035510 divided by -2?\nAnswer: 517755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -48 - 27929\nAnswer: -27977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 407371029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 69*s - 1377. Give c(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 219889583 to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 52*y**2 + 12*y + 169. Calculate n(-52).\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*p**3 + 51*p**3 + 37*p**3 - 17*p**3 + 32*p**3.\nAnswer: 121*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(144)\/(sqrt(300) + sqrt(12)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 9*k - 11. Let b(x) = -x**3 + 9*x**2 - 2*x + 10. Let t be b(9). Give j(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8685 - 5042. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2953 = -235*w + 636*w - 5067. Let y be 17\/5 + 2\/(-5). Solve -w = -y*f + 8*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 1\/(4 - 47754\/11938). What is the hundreds digit of (0 - -2)*v\/60?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-1 + 0)*(16 - 17). Calculate the common denominator of 7\/4 and ((-15)\/36)\/(2 + g).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*j**4*z**3 - 480*j**4*z - 4*j*z - 13*z**3 + 293*z wrt j.\nAnswer: -372*j**2*z**3 - 5760*j**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r + 21 = 8*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -21?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1159 or 521052\/449?\nAnswer: 1159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375233751.\nAnswer: 3, 479, 87041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**36\/(s**1)**(1\/13))\/(s**2\/s**(-5)*s**(-3\/2)*(s\/s**4)\/s) assuming s is positive.\nAnswer: s**(895\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 2. Let r = u - -5. Let t = 0.1 + -0.3. What is the closest to 0.1 in t, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**11)**(-2\/3))**(7\/8) assuming f is positive.\nAnswer: f**(-77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**5\/20 + 7*i**4\/6 - 2*i**3 + 2*i. Let h(j) = 6*j - 8. Let r be h(-1). List the prime factors of w(r).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/997200 and 19\/5434740.\nAnswer: 108694800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n - 15. Let g be h(3). Suppose -m = -g*b - 38, 2*b - 102 = -3*m + 5*b. Let t = m + 57. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/21)\/(6\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 46.3, -4, -3\/4, 0.36?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 2, 0.5, 0.8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k**2*l - 16527661*k**2 + 350261169*l wrt k.\nAnswer: 2*k*l - 33055322*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12006, 48208, 108548, 193032, 301666?\nAnswer: 434456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/10 of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2336*o**3 - 3 + 2*o**2 + 7*o**4 + 2335*o**3 as h*o**3 + g*o**2 + j + f*o + q*o**4 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 353 = 223. Let v be ((-18)\/28)\/(s\/(-168)). Sort -3, 1\/3, v, 9 in ascending order.\nAnswer: -3, 1\/3, v, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbqk when four letters picked without replacement from kqqkkbkqkkqkqqk?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/(a*a*a**(-1\/11))))\/(a**(5\/7)*a))\/((a*a**(-2\/5))\/(a*a*a**(-4)*a)) assuming a is positive.\nAnswer: a**(-926\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7990*l = 1671*l + 173898 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 955*j - 955*j - 17*j**3 - 14*j**3.\nAnswer: -31*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/s**(-7))*s**(-3\/10)*(s**(-1))**18 assuming s is positive.\nAnswer: s**(-253\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*p**2 + p**3 + 24*p**2 + 15*p**2 as u*p**3 + x + g*p**2 + b*p and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -3*i**5\/4 + 3*i**4\/2 - 10*i. Find the third derivative of f(m) wrt m.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30990\/(-320) + (-6)\/(-1). Let v = a - -83\/32. Which is bigger: -88 or v?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -5.2, -4.3, 2\/11, 0.2, 1\/4 in descending order.\nAnswer: 1\/4, 0.2, 2\/11, -4.3, -5, -5.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 10. Let f(b) = 2*b + 11. Let s(d) = 3*f(d) - 4*x(d). What are the prime factors of s(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(3\/8*-4)*(-35)\/10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 3) to base 10.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-36)\/(-10))\/((-11)\/(-10)) and 137\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**3 - 27*v**2 + 4*v + 6. Let i(y) = -7*y**3 - 29*y**2 + 5*y + 8. Determine 3*i(m) - 4*q(m).\nAnswer: -m**3 + 21*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 29\/(-58)*(1 - 145)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -o. Calculate the common denominator of (-4)\/(160\/(-158)) - o and 67\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7101620, 14203217, 21304790, 28406339, 35507864, 42609365?\n\"Answer: -12*t**2 + 7101633*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 63 = 5*r. Let a(l) = -30*l + 21. Let x(z) = -3*z + 2. Let b(s) = r*x(s) + 2*a(s). Let y(n) = -2*n + 3*n - 2*n. Determine b(y(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 3*u**2 + 4*u + 5. Let f be q(4). Let l = 8 - f. Suppose 5*t + 3 = l*p - 0*p, 3*p + 2*t = -18. What is the biggest value in -2\/11, p, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 567224*t - 3403348. Give o(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 1 + 3)*(-3 + 4 + 1) - 5 + 0 + 3)*(0*y + 8*y**3 + 0*y) as r*y + t*y**2 + g*y**3 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3637945, 3637944, 3637943?\n\"Answer: -x + 3637946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192405 and 140289.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 + -10. Calculate the remainder when a is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102804490.\nAnswer: 2, 5, 1021, 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n**3 - 5*n**2 + 6*n - 2. Let l be (1 + -2)\/(1\/5). Let p(t) = 5*t**3 - 4*t**2 + 5*t - 2. What is l*p(x) + 4*v(x)?\nAnswer: -x**3 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 113443309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1522 - 915. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 48 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39809 + -110551792.\nAnswer: -110591601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/10880 and 83\/18496?\nAnswer: 184960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 4:35 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26*7\/(-910))\/(1\/1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531710 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12115 + 12120. Which is the closest to -10? (a) 10 (b) t (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57710680 rounded to the nearest one million?\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1628715 to the nearest ten thousand.\nAnswer: 1630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 2*h + 7 = -2 - 23, -121*z - 5*h + 187 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -9. Suppose -4*p + 82 = 5*j, v*j = j + 2. Let z = 36 - p. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154\/(-56)*9\/(2079\/(-14))*42?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b = 19*b - 60. Calculate the highest common divisor of 60 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (1 - 3) + 6. Let l be -2 - (-1 - 0 - 0). Let t = l + w. Sort -5, t, 1.\nAnswer: -5, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 3:52 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 2*t + 20. Let j = -0.02 + 0.62. Let r = j - -0.4. Sort r, 4, t in increasing order.\nAnswer: r, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 10744884?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 h when two letters picked without replacement from {u: 4, v: 2, h: 4}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 97821821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297872?\nAnswer: 2, 18617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7129059755 + 0.5\nAnswer: -7129059754.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5\/51 (b) 1\/5 (c) 3 (d) 3\/5 (e) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, g: 4, w: 12}. Give prob of sequence wngw.\nAnswer: 88\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8217 - 5109. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5*c - 19 = -41, 0 = -c + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 500 - -31. Suppose -v - 5 = 0, 832 + b = -3*h + v. Let r = h + 747. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-15))\/(92\/1150).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 3:22 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 3611324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 0*t - 1\/24*t**4 + 11\/2*t**2 + 9 + 1\/6*t**3. Let n(q) be the second derivative of l(q). What is n(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-255)\/60 + (-2)\/(-8). Let v(s) = -49*s**2 - 5*s + 2. Let t(q) = 49*q**2 + 6*q - 3. Let a(b) = g*v(b) - 3*t(b). Is a(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 5:19 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -65*i**2 + 2*i. Let z(w) = 12*w**2. Determine a(z(v)).\nAnswer: -9360*v**4 + 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -161449, -645638, -1452619, -2582392, -4034957, -5810314?\n\"Answer: -161396*s**2 - s - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-19))\/(l**(11\/2)*l) assuming l is positive.\nAnswer: l**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -16. Let c = -4 + n. Suppose t = -c*t + 50. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797 is divided by 201.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 times -14.11687?\nAnswer: -550.55793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-5) - (-2)\/(-5). Suppose 173 = 3*k + 158. Factor 4\/7*m**k + 0 + 8\/7*m**4 - 8\/7*m**d - 4\/7*m + 0*m**3.\nAnswer: 4*m*(m - 1)*(m + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 2*r + 6. Determine t(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/11570 and 53\/1690?\nAnswer: 150410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**3\/5 + 95858*h**2\/5 + 21465892*h\/5 - 43315232\/5 = 0. What is h?\nAnswer: -47704, -227, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 8 = -5*p. Let z be p*(-5 + 2) + 2. Let l be (-100)\/(-36) + -3 - 650\/(-9). Calculate the highest common factor of l and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-288)\/(-20))\/8*(-30)\/(-9) + -10. Let t(p) be the second derivative of p**5\/20 + 5*p**4\/12 - p**3\/3 - 3*p**2 - p. What is t(r)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6313719892 and 12436?\nAnswer: 12436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1447851.\nAnswer: -1\/482617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4ab9 (base 12) in base 8?\nAnswer: 20455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2496 and 2.01.\nAnswer: 5016.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 11*r**2 - 3*r - 22. Let f(d) = -5*d**2 + 2*d + 11. Let z(l) = -9*f(l) - 4*m(l). Let j be z(7). Sort 8, 0, j, -3 in ascending order.\nAnswer: j, -3, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 82841?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*n**2 + 3 + 3 - 9 + 4 + 16*n.\nAnswer: 38*n**2 + 16*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pskkolokapkpplppala. Give prob of picking 1 a, 1 k, and 1 s.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10762 is divided by 243.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*b = 196 + 76 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsjbsqjp. What is prob of sequence jd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 29 = 21 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + a + 1. Let q(l) = -5*l**3 + 15*l**2 - 2*l - 3. Let m(s) = 5*p(s) - q(s). What is the tens digit of m(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-56)\/(-2) - 2) + 1 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.9157 + 0.0743. Let m = 0.01 + w. Which is the third smallest value? (a) 4 (b) 0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1966.9 + 1967. Let p = -0.4 - 2.6. Let v = p + -6. Which is the third biggest value? (a) 2 (b) i (c) -4 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 minus 268.241?\nAnswer: -269.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*o - 38*o + 616. Solve -6*w = o + 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*g**3 - 42820875*g**2 - 2 + 2 + 42820875*g**2.\nAnswer: -237*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 11:52 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 3*t - 1. Let a be n(-4). Let b be a\/1*(-6)\/(-9). Suppose 7*u - b*u + 795000 = 0. What is u rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*j + 362 = 0, 20 = -3*j - j. List the prime factors of q.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (20\/45)\/(1\/3). Let f = 0.3 - 0.3. Let h = f + -3. What is the third biggest value in u, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*h + 2*o + 31, 5*h - 40 = 5*o. Let m = h - -1. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 j, and 2 t when four letters picked without replacement from {g: 1, t: 2, j: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - -19. Suppose 14 = 2*g - r. Suppose 0 = 3*v - 99 + g. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-146))\/((3102\/(-47))\/(-66)).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1\/1 + ((-100)\/22 - -3)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 457767*x**6 + 410*x**2 - 469*x + 2 wrt x.\nAnswer: 54932040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 + -70. Let t be 16 + (-3 + p)*1. Solve -2*j + 5*j - t = 3*m, 5*m + 2*j = -25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/10)\/(p*p**(1\/12))*(p*p\/(p*(((p*p\/p**(-1)*p)\/p)\/p)\/p*p))**(-20) assuming p is positive.\nAnswer: p**(1141\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.69 and 2838103.27.\nAnswer: 2838105.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469978676?\nAnswer: 2, 117494669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -0.57. Let p = h - 0.13. What is the biggest value in p, -1\/4, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-4240)\/220 - -20).\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z + 16 = r, -3*r = 12. Suppose z*x - 4*s - 25 = 0, 5*s = -x + 6*x - 30. Is (58 + -5)\/(0 + x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s + 3*s - 4 - s + 5. Let x be o(1). Suppose 4*j - 3*g - 10 = x, -2*j = 3*g - 3. Which is the nearest to -0.2? (a) j (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 9. Let m(h) = -h**3 + 5*h**2 - h + 7. Let i be m(j). Solve 0*f = -i*f + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(252)).\nAnswer: -24*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**3 - 36*d**2 - 11*d - 11. Give w(-12).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 472 - 472 + 16*t**3 + (2*t - 2*t**2 - 2*t)*(-2*t - 3 + 3).\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)\/sqrt(500))\/(sqrt(22)\/(sqrt(11) + (6*sqrt(11) - sqrt(11)) + sqrt(11))))**2.\nAnswer: 931\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -4*u**3\/9 - 8*u**2 - 48*u + 3531. Suppose l(w) = 0. Calculate w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 12:00 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 8487.3933.\nAnswer: 1697.47866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5832337 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92 + 98. Suppose 3*x = r + 7, -v = -6*x + 2*x - 2*r. Calculate the remainder when 16 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 784?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-33)\/((-1155)\/(-280)) + (-19029)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932081 is divided by 76.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 9*g + 1, 5*m - 11 = g. What is the remainder when 26 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*f - 0*f + 6, 5*g + 4 = -2*f. Let x = -0.554 - 0.046. Let w = -0.62 - x. What is the nearest to g in -5\/3, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 times 0.3\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 - -53. Let l = 11 + -8. Which is the biggest value? (a) l (b) -2\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(4\/2)\/(8\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**3\/5 - 4059*m**2\/5 + 4886*m + 32520 = 0.\nAnswer: -4065, -4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7043.\nAnswer: 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 1 - 6)*(2*z - 2 + 2)*(1 - 6 + 1)*(26 + 23 - 38)*(z - 2*z + 3*z) to u*z**2 + a + y*z and give u.\nAnswer: -880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 10)*((-210)\/25 + 8). Let r be 1*(u + -7 + 11). Solve 0 = 5*v + 5*s - 10, r*v - 4*v = 3*s - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3479, 1, -8 in ascending order.\nAnswer: -3479, -8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -612002 >= -611987?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -46*h**5\/5 - h**2 - 3*h - 52. What is the second derivative of a(f) wrt f?\nAnswer: -552*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12968 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2182 - 2181.77. Put 0.5, n, 17 in decreasing order.\nAnswer: 17, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 + 360*r**3 + 357*r**2.\nAnswer: 3*r**2*(r + 1)*(r + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/9*((-21)\/28 + 0). Are -2 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 - 160 + 80 - 200842*c**2.\nAnswer: -200842*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-12)*2\/((-16)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + j - 403627 + 403622 - 225*j**3.\nAnswer: -225*j**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 723206183 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5566)\/(-165) - 34)*(-15)\/12. Factor -c**2 + c**4 + p*c**5 + 0 - 2\/3*c + 1\/3*c**3.\nAnswer: c*(c - 1)*(c + 1)**2*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3a246 + 2e8?\nAnswer: -39f5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18352 - 18344. What is the biggest value in 0.2, -1\/2, 1\/7, 2\/7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-6\/13)\/z*z)\/((z**(7\/4)*z*z)\/z*z)*z*z**15*z*z**(5\/6) assuming z is positive.\nAnswer: z**(2437\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -8*q + 54. Let n be r(6). Let u(a) = 3*a - 13. Let b be u(n). Put -75, b, 0 in ascending order.\nAnswer: -75, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 - 10) + 6 - -9 - 4) + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 6*a**2 - 4*a + 11. Suppose 1 = 7*l - 3*l - 5*i, -4*l = 2*i + 6. What is the least common multiple of -1 - l - -5*2 and v(5)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1190)\/20)\/17*(14 - 3609\/252). Let -3\/8*p**2 - w*p - 5\/8 + 1\/8*p**3 = 0. Calculate p.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 9:53 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -196 (b) -0.1 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -753 + 732. Let j = 27.1 + -6. Let d = a + j. Sort d, -5, 0 in descending order.\nAnswer: d, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2. Let a(l) = 18*l**2 - 2*l - 1. Let f be a(-2). Let z(q) = -f + 26*q + 75. Calculate b(z(k)).\nAnswer: 1352*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 870.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*b + 10. Suppose 0 = b*v + 2, s + 0*s + 5 = -5*v. Suppose s*h - h = -10. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**2 - 14*v + 649. Calculate c(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 27\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(66)*-3)\/sqrt(6).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9092843.4 - -10066559. Let u = i + -973716.39000022. Let r = 0.79 + u. What is r rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -50, -62, -88, -134, -206, -310, -452?\n\"Answer: -t**3 - t**2 - 2*t - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141330 and 870.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 196\/(-6)*(1 - -2). Is (n\/(-4))\/(2\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(180\/(-16)))\/((-10)\/(-75))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23.0191 - 0.0191. Put p, 3\/7, 0 in decreasing order.\nAnswer: p, 3\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 123525822 and 185288733?\nAnswer: 370577466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*b + 14 + 14, 5*b - y = -46. What is the second biggest value in 1, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**3 + 2225*w**2 - 2230*w = 0. Calculate w.\nAnswer: -446, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 8*u = -9*u + 10. Put -37, -4, -2, u, 2 in descending order.\nAnswer: 2, u, -2, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -67097 in 1\/13, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4586277 >= 4586276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from bzzzzbzbzbbbzzzbbbbz?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/832)\/(8*4\/64)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14659380 by -1221615.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8224500 = 1375*m - 1360*m. Round m to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 896393 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-1 + 2 + -2). Let y(t) = -50*t + 52. Let g be y(1). Suppose o - 301 = -g*f, -585 = -5*f - v*o + 175. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9666 - -0.2666. What is the closest to 1 in 0.55, -0.4, m?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 4:17 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24\/13? (a) -0.06 (b) 3\/4 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 234518 divided by -27\nAnswer: -234518\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 695\/4 + -697\/4. Which is the fourth biggest value? (a) -5 (b) h (c) -1\/44 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*(sqrt(76)*1)**2 + ((0 + 1 + sqrt(76))**2 - (sqrt(76) + 0 + 4)).\nAnswer: -84 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 1 = -2*u - 9, -4567*n - 5*u = -4562*n + 65 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-883350)\/(-157040) + (-291)\/56.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 9778*j + 78170. Determine k(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**2 + 19900*r - 1417500 = 0. Calculate r.\nAnswer: -4050, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 249685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221675, -221663, -221651, -221639?\nAnswer: -221627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*75\/450?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630 is divided by 114.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y + 24*y - 6 = 0. Suppose -y*v = v - 539. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3262591 is divided by 1085?\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 3, t: 5}. What is prob of picking 1 s and 1 n?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 1446.\nAnswer: 4338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b - 7 + 21*b - 5*b - b**2 - 8*b.\nAnswer: -b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 14 (b) -0.05 (c) -1737\/5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 13 + (-6 + -1 - (58 - 78))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8744 and 46888.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/509151 and 113\/4073208.\nAnswer: 4073208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*q + 612 = 6*x, 2*q = -4. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 799*q - 2443. Determine g(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 12:01 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6008272 is divided by 5049?\nAnswer: 5011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13010 + 3?\nAnswer: -13002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 73*h**2 + 682*h. What is l(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54250\/3875*(-7)\/8*(-8)\/(-2)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5089759 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*d - 22 = 5*a, 3*a + 22 = -2*d. Let w = d - -20. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4*v = -a - 48, a - 2*v = 14. Suppose 2*l + 2*l - a = 0, 0 = 3*u + l + 1. List the prime factors of u\/(-5) - 192\/(-20).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g + 0*g + 1 - 9*g**4 + 7*g**4 to the form z + s*g + i*g**4 + j*g**2 + k*g**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/14, 140\/33, -4, 6, -4\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 4*d + 17, 7*y - 2*y + 4*d = -21 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17016 and 21954.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*x + 103 = -1193 - 1176 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/6 - 821*a\/3 + 674041\/6.\nAnswer: (a - 821)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-9))\/(-1 + (-2)\/(-6)). Put -1, -1.7, s, 2\/5 in decreasing order.\nAnswer: 2\/5, s, -1, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2*y = -2, 0 = -5*s - 5*y - 12 + 7 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 0, 3, -1357, 5, 1 in increasing order.\nAnswer: -1357, -3, -1, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 11:04 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/(-20)*(3 + 1). Suppose -a*f + f = 2. Suppose 0 = -4*h - 2*h - 18. Which is smaller: h or f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 11) to base 9\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 - 46. Suppose 2 + h = 5*s. Solve -v - 2*p - 7 = -1, s*v + p = 15 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 8 = 0, -5*b - 44*w = 85 - 138 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 45.007\nAnswer: 45.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 49 = 1. Let j be h\/6 + 231\/63. Suppose -3*l - j*x = 3*x - 134, -174 = -3*l + 3*x. Calculate the remainder when l is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-5)*(-515)\/309.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/9 + 616*h**3\/3 - 425036*h**2\/9 - 285208*h\/3 - 428738\/9.\nAnswer: -2*(h - 463)**2*(h + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 564608543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -67*u. Let j(z) = -146*z**2 - 74*z**2 + 219*z**2. Give j(r(m)).\nAnswer: -4489*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 977238 and 977223 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 267 + 1937\nAnswer: 2204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*g**4 - g**4 + 64*g**4 + (2*g**2 - 1 + 1)*(-1 + 1 + 2*g**2) + g - g + 2*g**4 - g**4 + 3*g - 3*g as m*g + o*g**3 + s + u*g**4 + i*g**2 and give u.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 11480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*(f*f*f**(-5)\/f)\/f*f)*f*f*f**(3\/5)*f)\/(f*f**6\/f*(f*f*(f*f\/((f*f**(-1\/7))\/f))\/f*f*f)\/f))**(-3\/46) assuming f is positive.\nAnswer: f**(267\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kle when three letters picked without replacement from kllxeleezbx.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/(-36))\/(-1 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1)\/a)\/a)\/((a\/(a**(-3\/4)\/a))\/a)*(a\/(a*a*a**2*a*a))**(-2\/9))**(-1\/6) assuming a is positive.\nAnswer: a**(131\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w**2 - 10*w - 33. Let c be l(-4). Let y = -56 - c. Solve 2*j + 2 = s, -4*s + 15 = -y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 8*a**2 - 14*a - 10. Let s be n(5). Sort -9\/2, s, 4 in descending order.\nAnswer: 4, -9\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006175 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141950, 141953, 141958, 141965, 141974, 141985, 141998?\nAnswer: 142013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14386131092*r**2 - 51*r**3 + 50*r**3 - 14386131092*r**2.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h. Let v(f) = 2*f. Calculate r(v(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 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: What is the tens digit of 15663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**4\/2 + 3517*q**3 - 46787*q**2\/2 + 31568*q - 11690 = 0.\nAnswer: 2\/3, 1, 5, 2338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/42 and -109\/9996?\nAnswer: 9996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 3344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -464 + 2809. Suppose y - 852 = 5*t + 310, 3*t + c = 2*y. Suppose 0*s = n + 2*s - y, -3*s = -n + 1187. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m + 34. Suppose 0 = o + 3*z - 22, 2*o - 2*z - 2 - 2 = 0. Calculate the remainder when j(o) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -331, -928, -1733, -2752, -3991?\n\"Answer: -w**3 - 98*w**2 - 296*w + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -228797 != -228794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 17)*((-135)\/30)\/(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6\/5*j**2 - 1\/5*j**3 + 1\/5*j - 6 = 0.\nAnswer: -2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 154 - 55 = -3*t, 142 = 2*t + 4*s. Suppose 5*j = 2*j + t. Suppose -2*w = -3*w + j. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(19)*1 - -1*sqrt(475).\nAnswer: -2 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1338 is divided by 83.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 6*t + 4*y + 7 = 0, 9 = -t - 3*y. Let p = 20 + t. Solve p*z + 0 = -2*f + 16, -5 = 5*z - 5*f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107755489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssrrvv. Give prob of sequence rvv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 + 61. Solve 0*g - 20 = z*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**3 + 6*u**2 + 5*u - 9. Let y(c) = -c**3 - c + 1. Let o be (-2)\/(-8) + (-14)\/(-8). Let b(g) = o*y(g) + h(g). Let n = 0 - 5. Calculate b(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 836.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 13. Let o(b) = -b**3 + 11*b**2 - 24*b - 17. Let n be o(8). What is m(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {t: 1, m: 1, o: 3, r: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239309.\nAnswer: 7, 17, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + s - 115 = k, -69 = -3*k + 4*s. Which is smaller: k or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008)*-2 + sqrt(1008) + sqrt(1008))**2 - sqrt(1008))*2*4 + ((1 + sqrt(14)\/sqrt(2) + sqrt(7))*-6)**2*-4.\nAnswer: -4176 - 672*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 18*x**2 + 20*x - 35. Does 13 divide m(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 163287*j**4 - 4*j**3 - 36*j**2 + 26446*j + 2.\nAnswer: 3918888*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10534 (base 8) in base 10?\nAnswer: -4444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/35, 3.76, -3, 1\/32 in descending order.\nAnswer: 3.76, 3\/35, 1\/32, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1642093 * 0.5\nAnswer: -821046.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -188 - -283. What are the prime factors of s?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 3*p + 10 = 0, -2*s + 183*p - 179*p = 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -27*z - 2. Let n(g) = g**2. Determine r(n(h)).\nAnswer: -27*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32904 greater than 32904?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7\/30 + -1\/10. What is the second smallest value in o, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 609*r**3 + 697*r**3 - 1184*r**3 - 8*r to the form z*r**3 + y*r + x*r**2 + n and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 4*o**2 - 2*o. Let n be w(-3). Let q = n - -11. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*b - 12. Solve 0 = f - 3*f + b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/86254?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 27*p + 51 - 51 - 14*p - 12*p. Let w(m) = -50*m**2 - 3. Let k(r) = -650*r**2 - 40. Let d(a) = -3*k(a) + 40*w(a). Determine d(y(v)).\nAnswer: -50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 9 + 57. Let b be (r\/1688)\/(9\/(-8)). Let n = -64157\/8862 + b. Find the common denominator of 79\/40 and n.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 17 = -5*i, -4*i - 3*a - 252 + 226 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-1 - (3 + -1)). Let h be -3 - (-3 - 6062) - -1. Suppose 0 = w*u - h + 25263. Round u to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 119.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, u: 1, f: 7, b: 5, m: 1}. Give prob of sequence utt.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13698910*g**5 + 2*g**4 + 22640562*g**2 wrt g.\nAnswer: -821934600*g**2 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 - 5 - 11 - 20)*(-93*l**3 + 93*l**3 - 21*l**4) as i*l + f + h*l**3 + o*l**2 + w*l**4 and give w.\nAnswer: 1113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-6))\/((-3)\/(-9)). Suppose 2*t + 36 = 4*c + 6, 2*t - 15 = -v*c. Suppose -s + 2*s = -3*m + 2, 0 = c*m + 2*s - 2. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -5a?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*3834\nAnswer: 383.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308*w - 7485 - 39225 = -7594. Solve -96*a - 65 = w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1214249045?\nAnswer: 5, 242849809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1056 and 421673?\nAnswer: -445286688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001090849 rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -2, 0.4, 16, -0.8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1178 - 5857\/5. Let j(d) be the first derivative of -38 + 35\/3*d**3 - s*d**5 + 0*d**4 + 0*d + 0*d**2. What is the third derivative of j(a) wrt a?\nAnswer: -792*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -2\/135, 112, 162, 0.3 in increasing order.\nAnswer: -2\/135, 0.3, 16, 112, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + -1)*(-948)\/16 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31347 less than 2.8?\nAnswer: -31344.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18645 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -126*l - 2. Let m(z) = z - 4. Let b be m(6). Suppose 0*q - 3*q + b*a = 0, 19 = -5*q - 3*a. Let j be k(q). What is j rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10804518*y**6 + 8869571*y**2.\nAnswer: 1296542160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46256 divided by 46256?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -344198 - 7518343.5?\nAnswer: -7862541.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 71996*x + 215940. Determine o(-3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5260*o + 42261 - 11744 + 3521 = -23822 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343096189?\nAnswer: 31, 53, 367, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b + 675 = 19*b. Let d = 2758 - b. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3552582 is divided by 1184143.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -66*n - 1086. Calculate the remainder when 319 is divided by i(-17).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -43 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000141 to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 30*i**2 + 11*i - 5. Give r(-2).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 5739626*i - 5739628.\nAnswer: 2*(i - 2869814)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7321 - 6722 = -592*h - 10057 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.2 + 2.2. Let g = o - -11. Which is smaller: g or 1\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(((sqrt(272)*-1 - sqrt(272) - sqrt(272) - sqrt(272)) + sqrt(272) + -2 - (1 + sqrt(272) + -3)) + 0 + -2)*2)**2*-2.\nAnswer: -1254528 - 18432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389607?\nAnswer: 3, 61, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - u = -12, -5*u + 13 - 5 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from {x: 6, n: 13}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*x - 20. Suppose 7*z + x = 8*z. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 999438.\nAnswer: 2, 3, 11, 19, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2175.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3082, 3322, 3724, 4288, 5014, 5902, 6952?\n\"Answer: 81*a**2 - 3*a + 3004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t - 2*t + 7 - 5*t + 4*t. What is r(-6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/527?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 7:44 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*o + 897 = -38*o + 2547 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*n + 107*n = 3*g + 12, 4*g = -24. Solve -3*o - 2*s = 8, -73*o + 77*o - n*s = 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 18 + 1107869*g**3 - 1107608*g**3 - 39. Let x(n) = -26*n**3 + 2. Determine -6*h(j) - 63*x(j).\nAnswer: 72*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, o: 3, e: 2, l: 4, b: 2}. What is prob of sequence le?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -7. What is the least common multiple of 8 and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from taewaiwtattlewttta. What is prob of picking 1 w and 2 a?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, f: 7, m: 1, r: 5}. Give prob of picking 2 r and 2 s.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49879, 49928, 50007, 50116, 50255?\nAnswer: 50424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 340930 + -7\nAnswer: 340923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1849\/3 + -611. What is the common denominator of t and -41\/85?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -128 + 132. Calculate the remainder when 22 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 770\/(-70)*3\/(-11). What is the nearest to 0 in 2\/3, 0.06, d, -1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -1, -4761 in increasing order.\nAnswer: -4761, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/4, -1\/5, 2\/5, 2\/275?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d + 25*d - 338 = -19*d. Solve 0 = u - 12*m + d*m, -6 = -u - 3*m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 f when three letters picked without replacement from fffffffrffrffffffff?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 9:17 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5310*j. Let v(c) = c. Calculate v(a(s)).\nAnswer: 5310*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21230 + -5?\nAnswer: 21221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 3\/7*q**4 + 102\/7*q - 57\/7*q**2 - 48\/7*q**3 = 0.\nAnswer: -2, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*z - 0*z + 5*s, 5*s = -3*z + 1755 - 1757 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14902866 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 1:02 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -99, -382, -853, -1512, -2359, -3394, -4617?\n\"Answer: -94*g**2 - g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from {c: 1, x: 2, q: 1, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**0)**(-47))**(-22)*(b**(-1\/3))**(-2\/29)*(b*b\/b**(1\/4))\/((b**(2\/7)*b)\/b*b) assuming b is positive.\nAnswer: b**(2520011\/2436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26622 and 5.\nAnswer: -133110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9191, 73383, 247627, 586949, 1146375, 1980931, 3145643?\n\"Answer: 9171*s**3 - 5*s + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 6. Let g = -26 + 21. Let j(a) = a - 6. Let d(n) = g*r(n) - 6*j(n). Determine d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44564617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.03162 minus -3?\nAnswer: 2.96838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.33 + -0.23. Which is the nearest to t? (a) 2 (b) -1.1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(12)*-2*-4).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*k - 9, 8*k - 2*l + 6 = 5*k. Suppose 276 = i + 5*s, -2*i + 552 = -k*i - 2*s. Calculate the highest common factor of i and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23133113 (base 5) in base 16?\nAnswer: 32e95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 + 3*a**2 + 4*a - 1. Let l be w(-5). Does 4 divide l\/22 + 8\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6 + 6*y + 91*y**4 - 30 - 6*y wrt y?\nAnswer: 364*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-494)\/(-6))\/(164977\/78147)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11533766 is divided by 648.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 2698671085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 214*y - 7878. Let v be o(-167). Let a(q) = -2*q**2 + 7*q + 1. Let u be a(6). Are u and v equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(4\/5)\/(p**(-5)*p))\/(p\/p**(-5)*p*p*p*p\/(p*p*p**6)))\/(p**5\/((p\/p**(2\/5))\/p)*(p**(-1)*p)**25) assuming p is positive.\nAnswer: p**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 38306.\nAnswer: 421366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26798 + -19781. What are the prime factors of l?\nAnswer: 3, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2538)\/504)\/47*-16*28\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whw when three letters picked without replacement from hwwswshwwssshhs.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132229662?\nAnswer: 2, 3, 113, 195029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48594\/3003 + ((-3)\/6 - (-14)\/44)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - q = -f - 4, 2*f + 4*q - 16 = 0. Suppose w + 3 = -2*a, f = 5*a + 19 + 1. Is w greater than or equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**3. Let o be u(1). Suppose -225 = -o*m - 13. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 + -61. Solve -3*j - 3*k = a, -4*k - 16 = 2*j + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*t**2 + 358*t**2 - 172*t**2.\nAnswer: 43*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 54*x + 49*x = 10, 3*q = 3*x + 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n - 64. Let p(q) = q**3 - 5*q**2 - 4*q - 4. What is the least common multiple of j(17) and p(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3343084 to the nearest integer?\nAnswer: 1828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -383 + 386. Solve -4*l - k*f = 7, 0 = -5*l + f - 1 - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -511*k**3 + 29*k - 38*k + 445*k**3 + (k + 0*k + 0*k)*(4*k - 4*k - 2*k**2).\nAnswer: -68*k**3 - 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*z - 1159*z - 33901 = -125*z for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(352)*-4 - sqrt(352)) + sqrt(352))*1)\/(sqrt(288) - (sqrt(288) + 2*sqrt(288) - sqrt(288))*-2 - sqrt(288)).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 13*g**2 - 18. Let b be l(13). Let c = b + 18. Let m be (c + 0)*(-7)\/7. Solve m*o = -4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 10*k**2 + k - 22. Suppose 5*b - 50 + 11 = 2*v, 2*v = -b + 15. Let y be a(b). Is y bigger than -95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -4 - -8) + 110 + -124.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from veeevvevvv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + -3*(-2 + 1*sqrt(1008)) - -1*(sqrt(1008)*-1 + -3)*6)**2.\nAnswer: 7344*sqrt(7) + 163874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -419 * -3\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 15\/(-1)) + 0 + -3. Let u be (4 - n)*1\/3. What is the nearest to 0.1 in u, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, c: 2, a: 1, z: 1, q: 1, j: 1}. Give prob of picking 1 c, 1 q, 1 z, and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6018 is divided by 2993?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 4*u**2 - 4*u + 5. Is v(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 1\/22, 92, 396\/5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o - 4*s + 11 = 0, 5*o - 2*s + 33 = 0. Let y be 6\/(-15) + (-12)\/o. Which is the second smallest value? (a) y (b) 3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 52*l**2 - 114*l + 1796. What is the remainder when c(14) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3440481*t + 1397485 wrt t?\nAnswer: 3440481","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-285)\/45*(-239 - 1). Suppose -2*t - 3*k = -997, -4*t = 3*k - f - 483. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/21 and (-80)\/(-12) + -6 + 46\/42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 10:36 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = s + 5*r, 5*s + 32 = -3*r - r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1311.2 - -1211.2. Put -73, 0.2, o in ascending order.\nAnswer: o, -73, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7d4d (base 15) to base 2.\nAnswer: -110011111111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.01 (b) -1 (c) -0.18 (d) -0.5 (e) -3 (f) 0.5 (g) 5.73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 607.017 to the nearest ten.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1\/6))\/n*n*n\/n**(-1\/5))**26*((n*n*n*(n*n**(-1)*n)\/n*n*n)\/n)**(-50)*(n*(n\/n**(-2\/3))\/n)**(2\/165) assuming n is positive.\nAnswer: n**(-72821\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -1151, -0.003, 1, -3, -5, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*15 - (-6)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -2*m - 20, -4*v = -0*v + 2*m + 24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, a: 2, s: 5}. What is prob of sequence sh?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j\/j**2*j)\/j))\/j)**(-4\/5)*j*j\/j**16*j**(-1\/13) assuming j is positive.\nAnswer: j**(-967\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 19 - (-9 - 1) - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-21))\/(1\/4*(4720\/(-4592) + 1))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 263. Let h(w) = w**2 + 10*w - 19. Let s be h(-13). What is the greatest common divisor of r and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1099 is divided by 110?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 73 = a - 2*a, -50*j + 54*j = 5*a - 209 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4.457869nm?\nAnswer: 0.000000000004457869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - (-6 + -132 + -15). Suppose 0*y - 424 = -2*y. What is the highest common divisor of g and y?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -7.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 54769 divided by 11\nAnswer: 4979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - z**2 + 2*z. Let g(p) be the second derivative of -p**3\/2 + 15*p**2\/2 - 4*p. Let r be g(5). Let x be j(r). Solve -3*c + 9 = -x*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10*(14\/(-10) - -1). Suppose 3*h + j - 5*j - 16 = 0, 5*h - 12 = 3*j. Let c be (h\/(-2))\/(2 + -1). Sort c, f, 2.\nAnswer: c, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48 - -48) + -22 + 1 + 0 - 0?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 242 and 823768?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4947*l - 235411 - 56462 = 0 for l.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11 - -13) + 0\/1. Solve -r*j + 3*f - 10 = -j, 5*j + 2*f = 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 0*y**3 - 1\/3*y**2 - 5\/3*y**5 + 11\/8*y**4 + 0*y - 10 + 7\/12*y**6. Let c(x) = 0. What is x?\nAnswer: -2\/7, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -529 + 362. Let w = -156 - t. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2)**(2\/25))**(-20\/11) assuming t is positive.\nAnswer: t**(-16\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.129661 and -310966?\nAnswer: 310966.129661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**4\/2 + 276*v**3 - 7374*v**2 - 14560*v + 56448 = 0. Calculate v.\nAnswer: -18\/5, 2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a day in seconds?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 37*r. Let l(m) = 5*m - 6*m + 2*m. Give j(l(a)).\nAnswer: -a**2 + 37*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b**4 - 1763*b**3\/3 + 1946*b**2\/3 + 2572*b\/3 + 152 = 0.\nAnswer: -3\/5, -2\/9, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 121459 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(-4)\/(-48)*-2. Suppose 5*c = 2*i - 8 + 27, -12 = -3*c + i. Let r be (-6)\/(-15)*c\/(-13). Which is smaller: r or z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 13 - (-4 - -1 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*a = 84*a - 35*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.8907 rounded to two dps?\nAnswer: -33.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaz when three letters picked without replacement from {e: 1, z: 10, a: 6}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/248)\/((-3809)\/(-60944)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1934, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188 and 20.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 6\/11, -4.\nAnswer: -4, -0.1, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1067, -2135, -3185, -4217, -5231, -6227?\nAnswer: -7205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252233571.\nAnswer: 3, 23, 43, 151, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/3 + 2\/6. Suppose 5*h - 380 = 8*f - 3*f, -4*h - 5*f + 268 = 0. Calculate the common denominator of (n\/(h\/(-436)))\/(-2) and 69\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 6*m**2 - 5*m - 9. Give h(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2410*m + 64450 + 18830 = -1716*m for m.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2846 - -2844. Let f(o) = -2*o - 11. Give f(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.03276 and -2.4.\nAnswer: -2.36724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(0*i**2 - i**2 - i**2) + (0*i**2 + 3*i**2 - i**2)*(-3 + 4 + 2).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5133, 6490, 7847, 9204, 10561?\nAnswer: 11918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -4, -3, -0.9, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7280255*a + 4. Let b be j(10). Let m = -44802546 - b. Suppose 0*x = -3*z + 4*x - 42000000, -2*z - x = m. Round z to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2564 and 1998971320?\nAnswer: 2564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012549 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -591102*w**3 - 2*w**2 + 67*w + 5175.\nAnswer: -3546612*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63081.1113*1.\nAnswer: 63081.1113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.211747215 to one decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, v: 2, o: 2, j: 1, f: 4, n: 3}. Give prob of picking 1 o, 2 u, and 1 n.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/10 and -31\/27608160.\nAnswer: 27608160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 9:13 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 5, -5*w + 6 = -3*k + 2*k. Let u = -12 - -20. Calculate the greatest common divisor of u and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -90 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 425, 1953, 4597, 8369, 13281, 19345, 26573?\nAnswer: 34977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 - 71. Suppose 2*c = -0 - 8, -12 = 2*m + h*c. Let f(t) = 2. Let i(y) = y + 1. Give m*i(z) - f(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1303 divide 3609310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2945721190?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20277718 to the power of 1\/3, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -7*v. Let z(g) = -311*g - 1. What is z(s(y))?\nAnswer: 2177*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 2*v**2 - 2*v - 3. What is r(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 4*j**2 - 8*j - 22. Give o(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8663*l + 8663*l + l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/2*((-55)\/15)\/11.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660) - sqrt(660)*-1*-4)\/((1*sqrt(1331) - sqrt(1331)) + sqrt(11)))\/((sqrt(144)*4)\/sqrt(12) - sqrt(108)\/sqrt(225)).\nAnswer: -15*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c\/c**(-2\/3)*c)\/c)\/(c\/(c*c**(1\/2)))*((c\/(c\/(c**(-1\/3)\/c))*c)\/c)**(-30) assuming c is positive.\nAnswer: c**(265\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 200864034 and -0.1?\nAnswer: 200864034.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*b*b**0)*b)*b)\/((b\/((b**(3\/7)*b)\/b*b))\/b))\/((((((b*((b\/(b\/(b*b**(2\/3)*b)))\/b)\/b)\/b)\/b)\/b)\/b)\/b*b**4*b) assuming b is positive.\nAnswer: b**(37\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (206\/88 + (-1)\/11)\/(2\/8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-272951*(-8)\/(-168))\/(7\/(-3) - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048158044 rounded to 4 dps?\nAnswer: -0.0482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395822 = 49*j + 394107 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, e: 6, l: 1}. What is prob of sequence oel?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkukukuuukku.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**4\/3 - 51150*x**3 + 2947271782*x**2\/3 - 49968011314*x - 50950486392 = 0.\nAnswer: -1, 52, 38337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 5*h + 521, -3*h - 567 = -3*x - 180. Is x a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5505827 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, -22834, -2, -5 in descending order.\nAnswer: 92, -2, -5, -22834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3561 - 14?\nAnswer: -3575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 3 = 2*g. Suppose 2 = -12*o + 38. Suppose g*b = o*b + 38. Calculate the remainder when 34 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8040 + -8036. Suppose 5*a = -5*d - 10, -3*d - 3*a - 6 = -7*d. What is the remainder when -1 + 2 - -18 - d is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 12:43 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 138236860 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38905\/387498 + 9585110929\/93113573578. Let w = 27822022775\/9831402354 + s. Let z = w - -2\/2273. Find the common denominator of 13\/6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -11*u. Let r be (96\/(-64))\/(1\/(-2)). Suppose 0 = t + 5, 5*i + 5*t = -12 - r. Calculate l(i).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 6) + (-1 - -1) - -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/9 - 5044*x\/9 + 5050\/3.\nAnswer: -2*(x - 3)*(x + 2525)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1579 by -22.\nAnswer: -1579\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 - 53. Let r(q) = -2*q**5 - 5*q**3 - 11*q. Let s(b) = 3*b**5 + 6*b**3 + 10*b. Let w(z) = x*s(z) + 6*r(z). What is the second derivative of w(d) wrt d?\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*i + 283 - 315. Put 2\/7, -3\/7, -6\/5, i in descending order.\nAnswer: 2\/7, -3\/7, i, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3873459 and 1.5.\nAnswer: -5810188.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 9. What is m in 0*m**3 - 6*m**3 - p*m**2 + 11*m - 11*m = 0?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 2*a**2 - a - 4. Let c(k) = -k + 5 + 2*k - 2*k**2 - k**3 + k**2. Let u(z) = 6*c(z) + 7*y(z). Does 8 divide u(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-45)*54\/(-30). Which is the fourth smallest value? (a) 1\/5 (b) 0.5 (c) v (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2212*f**2*r**3 + f**2*r - 8*f*r**2 - 23*r wrt r.\nAnswer: 13272*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25 or -0.39?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2. Let k(i) = 1. Let d(x) = -x + 2. Let h(o) = -15*o + 45. Let y(j) = 20*d(j) - h(j). Let r(b) = -5*k(b) - y(b). Determine r(l(m)).\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-172)\/(-331656))\/((-13570)\/13573 + 1). Let i = 2\/9567 - b. Find the common denominator of 9\/(-18) + 20\/22 and i.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + 16 = 8*q, 6*o - 2*q = -q + 52 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 639311207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 2 = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -1 - 30*q - 21*q**2 + q**3 + 9 + 10 + 3*q + 3*q. Determine k(22).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -292 + 290. What is the nearest to -6 in 2, 1\/8, x, 0.04?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 6*f - 45. Suppose 0*c - c + 3 = 4*j, -5*c = -j - f. Let n(u) = -u**2 - u - 5. Let x be n(0). Sort -4, j, x.\nAnswer: x, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1055476?\nAnswer: 2, 263869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33521 + -22909. Suppose 5*t = -4*y + 82487, c - 27104 = -t + y. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 42, 92, 142, 192?\n\"Answer: 50*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c*c\/(((c*c\/c**(-1\/3)*c)\/c)\/c*c)*c))\/c)\/c*c)\/c*c\/(c\/(c*c**(-3))))\/(((c*c\/(c\/(c\/c**0)))\/c)\/c)**(-38) assuming c is positive.\nAnswer: c**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/9 - 116*x\/3 + 350\/9.\nAnswer: -2*(x - 1)*(x + 175)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/12546 and -16\/48229.\nAnswer: 35593002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.73309645 to two decimal places.\nAnswer: -89.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46463 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100 + 143. Let v(t) = 10*t**3 + t. Calculate the remainder when l is divided by v(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 156 = -5*z + 1260, 3*s - 5*z = 1446. Let f = -309 + s. Suppose -f = -3*y - 5*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -18, 2\/333, 0.08 in decreasing order.\nAnswer: 1, 0.08, 2\/333, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -8. Suppose k = 5*r - 4. What is the highest common divisor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 87 = -35*s - 561 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 121169.05 rounded to the nearest one thousand?\nAnswer: 121000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3150*f**3 - 3990*f**2 - 1525*f - 295. Let j(b) = 225*b**3 + 285*b**2 + 109*b + 21. Let p(i) = -85*j(i) - 6*u(i). Factor p(z).\nAnswer: -5*(3*z + 1)**2*(5*z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73679 rounded to the nearest 1000?\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**8\/120 + 23*a**7\/525 + a**6\/15 + 2*a**5\/75 + 9*a**2. Solve z(n) = 0.\nAnswer: -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2169*w**3 - 230*w**3 + 1052 - 1052.\nAnswer: 1939*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10) + 1216\/240 - 6?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28618.\nAnswer: 2, 41, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 280729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r + 386 = -594. What is the highest common divisor of 77 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/8 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39 and 597.\nAnswer: 7761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 + 56*t - 10. Let f be i(-19). Solve -7 + 110*m**2 - f - 19*m**4 - 42*m**3 - 14 + 5*m - 11*m**4 - 13*m**3 = 0 for m.\nAnswer: -3, -1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 j, and 1 u when four letters picked without replacement from {u: 4, i: 5, j: 6, g: 1}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -4*g + g. Let i = g + -8. Suppose i*u - 12*u = -195. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3*l + 5*l - 3, 13 = 2*o + 5*l. Let v = 0.2 - 0.2. What is the biggest value in 0.3, v, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10609 + -10588. Let u = -84 - -133. What is the lowest common multiple of u and s?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 13*t**2 + 13*t + 4. Determine m(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 12*s**2 + 9*s + 12. Let n be g(-7). Suppose 2*k - n - 693 = -2*i, 0 = -3*k + i + 1829. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.89 * -20.8441\nAnswer: -39.395349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 166 + -150. Calculate the remainder when 143 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8281, 10580, 12879?\n\"Answer: 2299*k + 5982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 4*z - z. Suppose h + 548 = 4*k - 3*h, 2*k = -2*h + 266. Suppose -m + z = 5*a, 5*m + 5*a - k = 2*a. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12446058?\nAnswer: 2, 3, 499, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s - 3. Let g be c(-5). Suppose -23*w + 6*w = -221. Suppose w*u = g*u + 3. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.026263 to three dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(448) + -4 - (sqrt(448) - -1*((sqrt(448) - (sqrt(448) + 2))**2 - sqrt(448) - sqrt(448)) - sqrt(448))) + 3.\nAnswer: -4 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-4 - -2) - (-5 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 6*z + 5. Suppose -2*f = -7*f - 25. Give l(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 195*-18376\nAnswer: -3583320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 4\/9, -5\/3, 5, 1.1 in decreasing order.\nAnswer: 5, 3, 1.1, 1, 4\/9, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*sqrt(84))\/sqrt(7))\/(sqrt(48)\/(2*sqrt(200))).\nAnswer: -60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15 - 0)*6\/(-15). Let j be 33\/s + 2\/4. Suppose 0 = -153*g + 159*g - 18. Which is the fourth biggest value? (a) 3\/2 (b) 0 (c) g (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 != 394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1592*r + 1829*r - 188714 = 433*r + 151918 for r.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = v + 93, -o - 2*v + 4*v + 24 = 0. Let w = o - 11. Let j(h) = -h**2 + 8*h + 4. Let k be j(w). Which is smaller: k or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127541 (base 9) to base 10.\nAnswer: 77716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + s - 2*s)*(95*s + 56*s - 152*s + s**2 + 68*s**3) + (s**4 + 4*s**2 - 4*s**2)*(1 + 1 - 3).\nAnswer: 203*s**4 + 3*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0240021 + 0.024. Round i to seven decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51318*k - 51235*k + 249 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 130 = 11*y - 6*y for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, p: 5, a: 6, x: 3}. What is prob of picking 4 p?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/5, -4\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4323466052?\nAnswer: 2, 11273, 95881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 4*u**2 + 3*u + 2. Let z be a(2). Suppose -m = -5*m - c - 38, z = -2*m + 5*c - 8. Let o(j) = -j**3 - 2*j**2 + 13*j + 21. Is o(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -60*b + 57*b - 7*b - 65*b - 87*b. Let q(m) = -3*m. Calculate q(x(h)).\nAnswer: 486*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*b - 42 + 18, -30 = -5*b + 4*w. Calculate the lowest common multiple of b and 1320.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 133932*a**2*l*t**2 + 833046*a**2*t - 2*a**2 + 3*a*t**2 - 48*l*t**2 wrt l?\nAnswer: 133932*a**2*t**2 - 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -135 - -3618. What are the prime factors of a?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1519681990 to the nearest integer?\nAnswer: 38983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*t - 24 - 8, 5*t + 85 = 5*s. Let f = s + -7. Sort f, 4, -1.\nAnswer: -1, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + -6 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 2 (c) 1 (d) -43\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*k + 21*k = -24*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 5) in base 10?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8255 and 11635?\nAnswer: 1477645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and 0.3.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 129 + -16. Suppose -38*f = -341 + s. Calculate the greatest common divisor of 78 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 g, and 2 h when four letters picked without replacement from gshhhhoorohsggshro?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**5\/30 - 5*c**4\/24 + 5*c**2\/2 + 3. Let n(q) be the second derivative of t(q). What is the units digit of n(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 109.3202 + -5.\nAnswer: 104.3202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 + 1)*40\/(-10). Let z(n) = -n + 21 + 22 - o + 2*n. What is the tens digit of z(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-2463154.\nAnswer: -9852616","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 12 = 5*k, -2*k - 3*k = -25. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**3\/6 + 733*h**2 - 132*h + 1. What are the prime factors of j(0)?\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {l: 5, a: 2, f: 5, i: 7}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 8*a. Let n be j(3). Suppose -4*w = -w - n. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62483 greater than or equal to 62484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 0 = s - 5 - 1, 3*k + s = 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2. Let d(k) = 2*k. Let n be d(1). Suppose 2*q + 6 = 2*y, -4*q - y = q - 15. Let m(r) = 5*r**2 - 2*r**2 - 6*r**q. What is n*m(w) - 4*b(w)?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 417376 and 15624?\nAnswer: 815135328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -189 (b) -0.3 (c) -1 (d) -1\/2 (e) -5\/2 (f) -13 (g) 0.11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*w - 0*w - 22, 5*k - 15 = 0. Suppose -w*g = -203 - 127. Let d = g + -38. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 21 + 7. Let o(p) = p**3 - p**2 - 3*p + 3. Let g be o(2). Does 13 divide (6\/(-72)*r)\/(g\/(-159))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 19. What are the prime factors of k*(0 - (-1 + 0))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*i + 19 = 11, -5*o + 3*i = -20. Let y = -2.4 - -3.4. Which is the nearest to o? (a) 5 (b) -1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2, -3*b - 4*r + 10 = -b. Suppose 5*l + 3*g + 0*g = b, 2*l - 4*g = 8. Solve -a + 7 = 5*k, l*k = -2*a - 2 - 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11 + (2 + -3)*-3. Suppose -4*k + 6 = -b. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*b - 15*b + 5*b + 14*b**2 wrt b.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - 2492?\nAnswer: -2498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5*l**2 - 6*l - 6. Let h = 24 + -24. Suppose 86*f - 90*f + 24 = h. Let i(z) = -4*z**2 - 5*z - 5. Give f*i(a) - 5*p(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18329 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006519 to 7 decimal places.\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 16. Let w = q - -12.0000024. What is w rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**6\/2 + 4*h**5 - 4*h**3 + 226*h**2 + 5*h + 5927. Find the second derivative of j(o) wrt o.\nAnswer: -60*o**3 + 240*o**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**8\/168 - 43*s**6\/30 + 161*s**5\/60 - 228*s**2. What is the third derivative of z(i) wrt i?\nAnswer: 120*i**2 - 1032","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -119*v - 6321. Calculate a(-53).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -f317 (base 16) in base 14?\nAnswer: -18971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0*d + 3*x, 0 = -3*d - 2*x + 5. Let s be (-1)\/(d\/(-162)*2). Let a be 2\/3 - 75\/(-9). What is the greatest common factor of a and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47784.89 + -20763.\nAnswer: 27021.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(2 - (-20)\/4). Suppose 4*d = 4 + 8. What is the third biggest value in z, 4, 3\/5, d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + w + 3 + 9 = 0, 0 = 3*z + 3*w. Solve 2*k - 16 = -z*o, 0 = 4*k - k + 4*o - 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -150, -267, -414, -591, -798?\nAnswer: -1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -48\/7 in -0.2, 0.02, 1\/6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 478, 462, 434, 394?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 19*v + 8. Calculate the remainder when q(5) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 7*z - 3. Let k be u(-5). Suppose -8*g + 40 = -k*g. What is the highest common divisor of g and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 - 14 = -3*d, -d = 3*p - 16. Suppose -12 = -4*x - p*r, -2 = -2*r - 0. Let q be 0\/16*(-4)\/(-16). Solve 0 = x*n - q + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3)*q*q)**(-10)*(q**(-2))**47 assuming q is positive.\nAnswer: q**(-332\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10638\/3546*(-28)\/(-4*(-12)\/56)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -0.2 (c) -27.88928\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 + 3*g - 1. Let a be f(-4). Let o = a - -10. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -78859213.1451?\nAnswer: 78859213.6451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1162, 4774, 10822, 19306, 30226, 43582, 59374?\n\"Answer: 1218*l**2 - 42*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 3*s + 2*k - 361, -4*k = -5*s + 1847. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1661984 - 1661944.000008. Let h = 40 - l. What is h rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 2*k**2 + 0*k**2 + (-5*k + 4*k - k)*(-k - k + 3*k) + (-3*k - 3 + 3)*(k - 2*k + 0*k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 14 + 13 + 2033*h + 14 - 53.\nAnswer: 2033*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-35)\/(-875)*5\/(-3)*85\/34. Sort 2\/5, -0.13, 2, w in ascending order.\nAnswer: w, -0.13, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19373b (base 15) to base 2.\nAnswer: 100101011100000000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -617*z = -619*z + 4, 0 = -4*l + z - 18 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -13) + (58 - (-4 - (-17 + 12)))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*x + 28*x + 26*x + 34*x + 27*x - 42*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/2 (b) -2\/3 (c) -2202 (d) -17 (e) 1\/4 (f) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*((3*(2 + sqrt(208)) + sqrt(208) - sqrt(208))*-4 + -1))**2.\nAnswer: 2880*sqrt(13) + 30852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.1109.\nAnswer: -0.02218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - r**3 + 2*r**4 + 1152*r**2 - 2*r - 2 - 1150*r**2 as c*r**4 + s*r**2 + x + v*r + l*r**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8013713?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 77 and -8823423 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1561, 3081, 4601, 6121, 7641, 9161?\nAnswer: 10681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6152096 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7647?\nAnswer: 3, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -12*a**2 + 24*a + 24. Let l(k) = k**2 - k - 1. Let y = -466 - -490. Calculate y*l(s) + t(s).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**5\/60 + k**4\/24 + k**3\/3 - 26*k**2 + 3. Suppose -4*x + 12 = -4. Determine i(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -1 + -3 + 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18254+-1783049\nAnswer: -1764795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -1 + k**2 + 2 + k + 2*k. Let x(d) = -5*d**2 - 15 + 23 - 6*d - d**2 - d**3 - 15. Let g be x(-5). Determine s(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*m**3 - 7 + 43\/3*m - 23\/3*m**2 = 0.\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -9*p - 12. Let i(v) = 3*v + 4. Determine 17*i(x) + 6*t(x).\nAnswer: -3*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 7. Let i = 29 - 29. Suppose -u + p*u - 15 = i. Sort 1, u, -3 in increasing order.\nAnswer: -3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 a when three letters picked without replacement from {a: 16, n: 2}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from mwwwwffnnwwwmnww?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*1*(-9)\/(-6). Let u be 14\/(1400\/30)*2\/6. What is the second biggest value in u, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5225813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/1453388 and 35\/2609232.\nAnswer: 331372464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**3 - 814. Let h(b) = b**2 + 28*b. Determine h(x(c)).\nAnswer: 9*c**4 + 84*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-2)\/(-1))\/(-18)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7254, 7256, 7258, 7260, 7262, 7264?\n\"Answer: 2*w + 7252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 - 15*j**2 - 10*j.\nAnswer: -5*j*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*c + 19*c + 30*c**2 - 37*c - 24*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01 - -0.09. Let k = 0.1 + g. Which is the smallest value? (a) 0 (b) k (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 65138.97ms?\nAnswer: 65138970000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174923 is divided by 5890.\nAnswer: 4113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + sqrt(117) + 0)**2 - (4 + -3*(sqrt(117) + 1)) - (-6*(1*sqrt(117) + sqrt(117)) + sqrt(117)*-1 + -4 + 1)**2.\nAnswer: -19665 - 219*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150377908.\nAnswer: 2, 2797, 13441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1309834 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5660 - -5671. Which is the second smallest value? (a) 3 (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -113 + -30?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2345111\/423 - 5544. Is c < -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/957173 at most as big as -408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02233393 + 9216809?\nAnswer: 9216809.02233393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**6\/12 - 7*k**5\/40 - k**4\/3 + k**3\/3 + 2*k - 2. Factor z(t).\nAnswer: t*(t - 2)*(t + 1)*(5*t - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nagggdkazznddd. What is prob of sequence ggzd?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75 + 78. Let h be (-197 - 1)\/j + -2. Let o = h + 190. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.2, 5462\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 112*h - 21633. Give y(183).\nAnswer: -1137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.24594852 to 2 dps.\nAnswer: 2.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4395 divided by 293\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + x - 3*o - 7, o + 21 = 5*x. Let k be (-13 + (-69)\/(-6))\/(((-42)\/52)\/7). Solve 4*z + k = -s + 2, -x*s + z = -7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1568) - sqrt(32)) + sqrt(20)\/sqrt(160))**2*3.\nAnswer: 28227\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/3))**(5\/11))**(1\/3)\/((h*h\/h**6)\/(h\/h**(-1\/8))*h*h**4*h*h**(7\/4)) assuming h is positive.\nAnswer: h**(-2159\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, -3, -3\/8, 8, 2\/895?\nAnswer: 2\/895","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-5 - 60) - (3 + (-9 - (-21 + 7))).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2. Let o(i) = 90*i. Let t be ((-20)\/16 - (-9)\/4)*1. Let m(u) = 2*u. Let p(w) = t*o(w) - 30*m(w). Calculate p(r(l)).\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**2\/2 + 1562. Let z(n) = -2*n + 103. What is c(z(b))?\nAnswer: 2*b - 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 1341?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -19*o + 22*o + 18, 84 = -3*i - 11*o + 12*o for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150, 464, 950, 1608?\nAnswer: 2438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3\/4 - 7850695*p**2\/4 - 15701393*p\/4 - 7850697\/4 = 0. Calculate p.\nAnswer: -1, 7850697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xvexc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5*a + 35, 6*d - 29 = -4*a + d. Let p(n) be the second derivative of -n**4\/12 + 3*n**3\/2 - 9*n**2\/2 + 68*n. What is p(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 + 47*q + 83. Determine d(25).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 296 - 1036. Is 12 a factor of m\/(-6) - (-9)\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110010100100 (base 2) in base 14?\nAnswer: 592c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 62, 7, 0.1, -0.3 in ascending order.\nAnswer: -0.3, 0.1, 2\/7, 7, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2296 divide 254722832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from pllkvhk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 256 - 212. Let j be (-5)\/10*(-11)\/(k\/104). Solve -3*d + 2*s = j, -d + 2*d + 2*s + 7 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8433 and 29669168?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*d + 148 - 49 = -149 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11*(-20)\/(-3960))\/(3\/30*-1)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -484*z**3 - 194*z**3 - 466*z**3.\nAnswer: -1144*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4\/7)*d*d**(-1\/10))\/(d**1)**(-37)*(d**(-2\/3))**(-17)*d*d**(-2\/3)*(d**(-7)\/d)\/d assuming d is positive.\nAnswer: d**(8609\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5897759.\nAnswer: 7, 17, 29, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -133*y + 1. Let r(f) = -4*f. What is o(r(c))?\nAnswer: 532*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5071, 1, 1671 in increasing order.\nAnswer: 1, 1671, 5071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -0.176. Let c = -0.14 + b. Let n = c - 0.366. Round n to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25344, 109668, 250208, 446964?\n\"Answer: 28108*o**2 - 2764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*l**3 + 2439*l**2 - 2439*l**2.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 + (-37 + 167 - 7).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, -3, -32875, -130?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21242311324 + -41?\nAnswer: 21242311233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - -1a?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.01 (b) -123 (c) -2\/9 (d) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58382 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 792 = -258. Suppose -218*b + 1408 = -x*b. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1258\/8 - (-9)\/12. Let t = -70 + z. Calculate the highest common factor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434061 a multiple of 490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 12*b - 12. Let o be r(-25). Let d = o - -550. What are the prime factors of d?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 5*z - 3. Let p be m(5). Let j(c) = 2 - 8 + c**2 - c + c + 2*c + 3. Determine j(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 809917848*v**3 + 825085573*v wrt v.\nAnswer: 4859507088*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*p = -41*p - 3165. What are the prime factors of p?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8331*j + 8409*j - 4 + 8368*j + 6 - 25407*j.\nAnswer: -299*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3215311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5871?\nAnswer: 3, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 67 + 47 - 61 - 59\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -11. Calculate the remainder when 30 is divided by (-4)\/2 - 30\/c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108*z - 111*z + 41*z**3 - 56*z to the form l*z + k*z**3 + j*z**2 + v and give k.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*c + 11*c - 7*c**2 - 8*c**4 wrt c?\nAnswer: -192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2*g)\/g**(-4))**29*(g**(-1\/2)\/g)**13\/((g\/(g\/(g*g*g*g**(-1\/6))))\/((g*g**(-3))\/g)) assuming g is positive.\nAnswer: g**(533\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + -4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 11:50 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 638?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -845, -3 in descending order.\nAnswer: -3, -11, -845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -94*n**3\/3 + 87*n**2\/2 - 125*n. Differentiate p(z) wrt z.\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.93 + -0.07. Sort -1\/3, -0.1, m in ascending order.\nAnswer: m, -1\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(304) - 2*sqrt(304))*4 + sqrt(304))\/(1*sqrt(648)))\/(sqrt(18)*-5 - sqrt(2) - (sqrt(2) - sqrt(1936)\/sqrt(8))).\nAnswer: sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ot when two letters picked without replacement from yyyyysscotcyay?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 4*j + 48, 2*j - 15 = 5*a + 33. Let h be 1 + (4\/a + 0)*-142. Suppose -6*s = -8*s - h. Which is smaller: s or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9992\/7, -11, 0.03?\nAnswer: -9992\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 26, 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/7 (b) 3 (c) -40401\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 7*z**2 - 8*z - 7. Suppose 0 = -w + 4*w - 12. Suppose w*u + 5 = -19. Calculate k(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 + -2.05. Let t = 10.3 + -0.3. Let v = 5 - t. Put o, v, 0 in decreasing order.\nAnswer: 0, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.176 + -16145.5268.\nAnswer: -16153.7028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 123, -4, 5, 2 in descending order.\nAnswer: 123, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.02, -4\/3, -1.13, -0.064, -4\/5, -2\/23, 0?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 2. Let u be k(-2). Suppose -40 = -u*p + 60. Calculate the remainder when 97 is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176915.\nAnswer: 5, 41, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 748672 is divided by 470?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -b - 5*g, 0*g - 7 = -3*b + g. Suppose -19 = -b*w + 11. Solve 0 + w = 5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00543547 rounded to four decimal places?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1419833, 1419828, 1419813, 1419782, 1419729, 1419648, 1419533?\n\"Answer: -v**3 + v**2 - v + 1419834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 16. Let n be x(-8). Suppose -n = -5*p + p. Solve d + a = -4, -d - p*d - 17 = 4*a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1337 divided by -1\nAnswer: -1337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -244*h - 728. Let p be a(-3). What is the nearest to -18 in p, 1\/3, 3.7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 579621 and 441.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -17, -52, -123, -242, -421?\nAnswer: -672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 7*p + 6. Let c be l(-5). Calculate the common denominator of (-1006)\/(-60) - c\/10 and -15\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -3. Let h = s + 3. Let n = -36 + 57. What is the remainder when n is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5599\/2509 - -15\/193. Find the common denominator of k and 17\/26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 + 10 - 23) + 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-two fifths of a gram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 19. What are the prime factors of 6*j\/6 + 27?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1012 (b) 4 (c) 27.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/22740 - 2843\/11370. What is the nearest to f in -13, 1, 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1747, -3056, -3875, -4156, -3851?\n\"Answer: 8*u**3 + 197*u**2 - 1956*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-9 + -2 - (-39 - (22 - 13))).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 5:22 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 2584\/(-28) + 4\/14. Let v = -92 - t. Solve -4*w + 2*y - 23 + 1 = v, 20 = 4*y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2301.706 litres to millilitres.\nAnswer: 2301706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-267 - (-250 - 12)) + 70\/2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 1 - 1. Let l(f) be the third derivative of -70*f**2 + 0*f**3 + 0*f + 0 + 0*f**4 + 1\/12*f**5. Calculate l(c(j)).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1))\/(d*d**(-12))*(d**(3\/19)\/d)\/d**(2\/11) assuming d is positive.\nAnswer: d**(2503\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 123731821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -129679*w**4 - w**2 - 1645777*w?\nAnswer: -1556148*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3373777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-2*(sqrt(891) + -2*sqrt(891) + sqrt(891) - sqrt(891))*-1*-1)**2 - (((-1 + sqrt(891))*3 + 3)**2 + -4)).\nAnswer: -4450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6337 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 + 15*t + 36 to s*t + j and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*s - 6 = 0. Let r be -1 - -42 - (-3)\/s. Suppose 0 = 4*a - 3*o - 69, -2*a + o - 7 = -r. What is the remainder when a is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -74*f - 4041. Calculate w(-54).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 4:29 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -11*b**2 - 11*b + 15. Let o(p) = -8*p**2 - 4*p + 7. Give -2*j(u) + 5*o(u).\nAnswer: -18*u**2 + 2*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*i + 13. Let y = 6 - 4. Suppose 14 = 3*s - y*c, -4*s + 3*c + 20 = c. Solve 4*u - 12 = 4*t, -u + s*u = -i*t + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(6\/(-4) + 1). Let f be (-2)\/g - 5\/(45\/(-21)). Let z(l) = 2*l**3 + l**2 - 5*l - 2. Let p be z(f). Solve -p = -5*s + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11247605849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60583, 90309, 120035, 149761?\nAnswer: 179487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7743.903 decades in years?\nAnswer: 77439.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 460 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, z: 6, v: 4, i: 3}. Give prob of sequence vza.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -435 + 985. Let c be (-462 + -5)\/((-5)\/y). What is c rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 11, 57, 143, 281, 483, 761?\nAnswer: 1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 + 4*h - 9. Let a(x) = -281*x + 7269*x**2 + 278*x + 9 - 7270*x**2. What is -4*a(j) - 3*m(j)?\nAnswer: -2*j**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 3*s = 720. Let z be (-56)\/30 - ((-84)\/s)\/(-7). Let k = 14.7 - 15. Put z, k, -0.1 in increasing order.\nAnswer: z, k, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 2*k + 4. Let v be k\/(-66) - (-4)\/22. Which is the second smallest value? (a) 4 (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/11 (b) 4 (c) -0.09 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/10 - 172\/(-20). Let b = p + -1. What is the remainder when 15 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, o: 1, h: 1}. Give prob of picking 1 k, 1 h, and 2 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/80, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 1 - (6 - 4)) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r - 639 - 753 = 0. Is 25 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*s - 810 + 1860 = 0 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxzzzxzzz. Give prob of sequence zxz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33028 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 36*u**2 - 2*u - 27. Let l be t(-36). Is (30\/l)\/((-2)\/(-22191)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 287.\nAnswer: -57.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-620)\/(-7750) - 16857\/(-225)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhn when three letters picked without replacement from nnnnnnhhnnhnnnhnhh.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 4:16 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 46\/((-6)\/(-15)*5). Suppose -q - 6*q = -3*q. Let v = n - q. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n**2 + 3*n**2 + 3*n**2)*(2*n - 123*n - 1524*n + (0 + 0 + 3)*(3*n - 6*n + n)) in the form b*n**2 + h*n**3 + t*n + q and give h.\nAnswer: -3302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(128))**2 - (-6*sqrt(32))**2.\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1240 and 2108.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 - ((-941)\/3 - 26\/78).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52.5099990972 - -52.51. What is g rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3191746 or 3191729?\nAnswer: 3191746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 847 + -851. Sort 0, 4, 23, u in decreasing order.\nAnswer: 23, 4, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180 + 179 + 3*i - 539 + 175.\nAnswer: 3*i - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -2 (c) -22 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -572*m + 572*m + 27479*m**2 - 27482*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.49 - 11595.\nAnswer: -11596.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 803*m - 804*m + 66 = -4*n, -89 = 2*m + 5*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c. Let g(k) = 8*k. Let x(h) = 4*g(h) + 11*u(h). Let t(j) be the first derivative of -6 - 4 + 8 + 2*j**2. What is t(x(i))?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 8*y**2 - 6*y. Let w(p) = -361*p**2. Calculate r(w(v)).\nAnswer: 1042568*v**4 + 2166*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - 8. Let s(f) = f**3 - 5*f**2 - 65*f - 14. Let b be s(11). Put 5, d, b in descending order.\nAnswer: 5, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*0.1192.\nAnswer: -0.4768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 967 - 331 - 346 - 335 - 5*p**2 + 2*p in the form a + z*p**2 + n*p and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/26*(-86)\/(-10664)*-62?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -135, -164, -199, -240, -287?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 2*m**2 - 6*m - 6. Calculate the remainder when o(5) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l - 4*l - 15 - 39 + 70 to r*l + v and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuwo when four letters picked without replacement from fweeewofeewu.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -785 and 918805.9.\nAnswer: 918020.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*b - 65 = b, -5*b + 15 = 2*y. Let h = 2 + y. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 + 1. Let i be z(1). Let u(y) = -8 - y**3 + 7 + 7*y + 4*y**2 + 11*y - 14*y. Calculate u(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137284759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 4. Let o(d) = d**2 + 15*d - 6. Let a(m) = -m - 1. Let w(u) = -6*a(u) + o(u). Let s be w(-21). Sort -3, s, c in descending order.\nAnswer: c, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1277443*u**5 - 34*u**2 + 3125*u + 2 wrt u.\nAnswer: 76646580*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2881*f - 437914. Determine j(-152).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -444269*k**2 + 7*k + 11035?\nAnswer: -888538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 350117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1 + 0 + -3. Let h be (-6 - -2)*4\/i. Suppose 5*z = 101 - h. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**5\/60 - 5*d**4\/12 - 2*d**3\/3 - d**2. Let a be 87\/(-15) - (-24)\/30. Is n(a) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -376*j**2 + j**3 + j - 763*j**2 + j**3 - 505*j**2 + 430*j**2.\nAnswer: 2*j**3 - 1214*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 812 = 68218*o - 68102*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1992695 by 48.\nAnswer: 1992695\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*r - 106*r + 33 = 0. Calculate the remainder when 2398 is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -38, -109, -182, -257, -334, -413, -494?\n\"Answer: -u**2 - 68*u + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3620 and -4.\nAnswer: -14480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 4*o**2 + 6*o - 7. Let x be g(3). Solve -j - 3*s + 8 = j, -5*s = x*j - 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u - 17 + 13 + 4 + 4*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, 8, -2, 4, -239.\nAnswer: -239, -2, 4, 8, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 10*o + 1. Suppose -2*j + 5 = h, 5*j = 10*h - 13*h + 13. What is x(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.195 and 2\/43 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 72459662 and 0.0414.\nAnswer: 72459662.0414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 109. Determine f(-84).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 288 + -464. Let x = s - -274. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 31 (b) -95 (c) 3\/4 (d) 0 (e) -1 (f) -26 (g) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (2 - 7) - -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -477991385089499 - 0.2.\nAnswer: -477991385089499.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*8\/(-80)*180\/((-32)\/(-16)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 9) to base 16.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 127*d + 1588. Give i(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1139658?\nAnswer: 2, 3, 13, 19, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -0.03, -0.4, -4, 5 in decreasing order.\nAnswer: 5, -0.03, -0.4, -4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9\/10 of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5765 - 0.0235. Let k = 3.07 + -0.07. Let x = k + l. Round x to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3243744 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((0 - -3) + -1 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1115, 4459, 10019, 17783, 27739, 39875, 54179, 70639?\nAnswer: 89243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = 5*h - 5*r - 106, -4*h + 3*r + 13 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 176569 + 723397 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3432000 rounded to the nearest one hundred thousand?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.794 rounded to 1 decimal place?\nAnswer: -15.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -610*z + 608*z = -594. What is the greatest common factor of 176 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 422255, 422250, 422245, 422240, 422235, 422230?\n\"Answer: -5*u + 422260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o + 718 = -556. Let u = o + -1. Solve -46*i + u*i = 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1118 and -24\/65?\nAnswer: 5590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -442274, -884561, -1326870, -1769207, -2211578?\nAnswer: -2653989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1\/4)*m*m**(1\/3))\/(m**(-2\/3))**(-1\/7))\/((m\/((m\/m**(-1))\/m))**(-1))**(14\/5) assuming m is positive.\nAnswer: m**(209\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 221023, 880776, 1980365, 3519790?\n\"Answer: 219918*o**2 - o + 1106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 37108 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or 55\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 109*i**3\/3 + 59*i**2\/2 - 185*i. Differentiate n(x) wrt x.\nAnswer: 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y + 58 - 60 + 10*y**2 - 5*y**2 to u*y + r*y**2 + i and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 173062194*n*w**2 - 4*n*w + 56*n + 27838*w + 4 wrt w?\nAnswer: 346124388*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffkkikiukkfi. Give prob of sequence fuff.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p**3 + 22*p**2 - 192*p + 128. Determine o(6).\nAnswer: 848","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 8*v + 7. Let m be h(-6). Let c = m + 57. Let z = 27 - c. Which is smaller: z or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 1. Let b(g) = -291352*g - 291355*g + 874057*g - 291352*g - 5. Let c be (3\/(-4))\/(1\/4). Give c*o(s) - b(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4401 - 47?\nAnswer: 4365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 15072*o + 165816. What is k(-11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -1\/3, 4\/3, 1\/4 in decreasing order.\nAnswer: 4\/3, 1\/4, -1\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 times -0.647104?\nAnswer: -14.236288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*-12*(-1)\/63?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -9) + (-29 - -14 - -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u. Let g(t) = 4*t. Let n(w) be the first derivative of -5 - 3\/2*w**2 + 0*w. Let l(m) = -2*g(m) - 3*n(m). Determine x(l(z)).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7))**4*c*c**(5\/7)*(c\/(c**(1\/6)*c))\/c*c assuming c is positive.\nAnswer: c**(113\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 12. Let q be w\/12 - (-83)\/3. Let h = -20 + q. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93615 divided by -1499\nAnswer: 93615\/1499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 - 30*d**2 - 2*d - 544. Let u be b(-16). Do 1\/8194 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 715\/(-1950)*4\/(-11)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 334 and 12183.\nAnswer: 4069122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(1\/2)*r)*r*r*r\/(r*r**(2\/5)*r)*r*(r\/(r*r**(-2\/3)))**(-34\/5))\/((r**1)**(1\/26))**(22\/5) assuming r is positive.\nAnswer: r**(-281\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0034 + -35.7466. Let o = -1.4 - 33.6. Let c = w - o. What is c rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43\/1071 + (-130)\/(-910) - 4\/18.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1053))*-1 + 6*(sqrt(1053) + 1) - (-5*(-2*sqrt(156) + sqrt(156)))\/(sqrt(60)\/(sqrt(10)\/sqrt(2)) + sqrt(12)))**2.\nAnswer: 425*sqrt(13) + 94025\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17825 + 17824.36785. Round z to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -58?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 0*n + 0*n)*(3*n + n - 3*n) + (-n + n - 2*n**3)*(2 - 5 + 1) - 10*n**3 - 15*n**3 + 5*n**3.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 91?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4788931 is divided by 1508?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + 3 + 8*f**2 - 3.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-12) + 2\/(-3). Suppose 7*t - 6*t = 3. Let z be 14*(-3)\/(-18) + t\/(-1). Which is the closest to z? (a) 0.3 (b) i (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 + 106 + 2 + (14 - 7)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34738401 equal to 34738401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*f = -11, -109*s + 114*s = 5*f + 20. Solve s*x - 11 = u - 6*u, 2*u = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/895374 and 149\/432.\nAnswer: 7162992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 10870 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 2551.\nAnswer: 510.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320731 is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, -117, -332, -633, -1020?\nAnswer: -1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 39\/11071?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -1678.\nAnswer: 503.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54721*g**3 - 5*g**2 - 67*g - 319.\nAnswer: -328326*g - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mft when three letters picked without replacement from {g: 1, n: 3, m: 2, z: 3, t: 3, f: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 14*s - 3. Let n be o(11). Let y be (-85)\/(-4) + n\/(-48). Let i(j) = y*j**2 - 45*j**2 + 25*j**2. Let v(f) = -2*f. Give v(i(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 4*q + 4. Let h(j) = 3*j**2 + 13*j - 13. Let o = 678 + -680. What is o*h(t) - 7*m(t)?\nAnswer: t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 2639 - 2638 + 4*r - 2*r + 7913 - 2661.\nAnswer: r - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 38 = 5*a. Suppose -2*i + 4 - a = -3*l, -5*l + 25 = 0. Let m be 10\/(-58)*(-2)\/5. Which is greater: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + y = -130, -3*t + 4*y + 61 = -0*y. Suppose 3 = -10*l - t. Let a be -4*(l - (-35)\/20). Solve 5 = a*g - 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*r + 4*f, -4*r + 5 = -4*f - 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 62*s**3 - 177*s**2\/2 - 139. What is the second derivative of f(v) wrt v?\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6340, -12573, -18872, -25231, -31644, -38105, -44608?\n\"Answer: s**3 - 39*s**2 - 6123*s - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/300 - 1131\/(-75). Let y be a\/7 - 66\/(-77). Put -18, -3, -2, y in ascending order.\nAnswer: -18, -3, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 49. Let g be m(0). Let j = 295 - 293. Suppose a = j*a - g. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*j - 98. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 - (19 - 26) - 27\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5\/11 + 3024*m**4\/11 - 215828*m**3\/11 + 398472*m**2\/11 + 1456534*m\/11 + 839208\/11 = 0. What is m?\nAnswer: -1, 4, 73, 1437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20.801*-0.5\nAnswer: -10.4005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 702037 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/7813 + -789045\/265642. Calculate the common denominator of 71\/102 and w.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q - 2. Let t(a) = 5*a - 3. Let x(u) = 5*h(u) - 3*t(u). Let d(v) = -v + 20. Let m be d(0). Suppose z = -22 + m. Determine x(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.412 - 3.112. Let c = 81 + -109.6. Let z = 29 + c. What is the closest to -0.1 in 0.19, z, m?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4) - 30\/(-12). Let d be 24\/36 + w\/(-3). Suppose d = 7*s - 5*s - 12. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58412756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/13)*t\/t**(-1))\/((t**(-5)*t)\/t**8) assuming t is positive.\nAnswer: t**(178\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2\/((o*o**(-5)*o)\/o))\/((o\/(o**(-1\/7)*o)*o)\/o*o**(-4))*o**6\/o*o\/(o*(o*o**4)\/o)*o**(-6)\/o*o*o*o**(-2\/25) assuming o is positive.\nAnswer: o**(1011\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2. Let k(z) = 32*z. Let c be 0 + 6\/21 + (-3105)\/(-35). Let r = c - 84. Let g(u) = -703*u. Let s(j) = r*g(j) + 111*k(j). Determine w(s(y)).\nAnswer: -2738*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15223701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, 87, 247, 471, 759, 1111, 1527?\nAnswer: 2007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-986) - (-18)\/(-261).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 8*k**2 + 15*k + 10. Let t be l(-7). Let i = 58 + t. Suppose -5*n + 136 = -79. Calculate the remainder when n is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1763900.\nAnswer: 2, 5, 31, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -2 (c) -0.2 (d) -17\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrererrrrrre?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**4 - 816492*j**3 - 166663980022*j**2 + 333330409524*j - 166665613009 = 0. What is j?\nAnswer: -408247, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23 or 1355\/58?\nAnswer: 1355\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2 - 2 + 0 - 3*v. Let t(c) = -19*c - 17*c + 39*c. What is t(g(p))?\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*t - t + 14*t + (0 + 1 + 0)*(6*t - 3*t - t) + (-19 + 19 + 18*t)*(3 - 3 - 2).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - y = 31 + 85, 0 = 5*z + 2*y - 197. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 736441 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4 = -46. Find the first derivative of 6*n - u*n - 6 + 0*n wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/7 + 200646*s\/7 + 3354901443\/7.\nAnswer: 3*(s + 33441)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15238.5ml in litres?\nAnswer: 15.2385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 42*q**3 + 93*q**2 + 57*q + 18. Let l(x) = 44*x**3 + 95*x**2 + 58*x + 17. Suppose -2*s + 47 - 37 = 0. Let c(r) = s*p(r) - 6*l(r). Factor c(h).\nAnswer: -3*(h + 1)*(2*h + 1)*(9*h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qowdqhoqddqhqqqdodq. Give prob of sequence hh.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -285b - 2b0?\nAnswer: -2b2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a century in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 260 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1532 and 26799.\nAnswer: -41056068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - -28 - -22 - 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*r**4 + 383243*r**2 - 1341573*r.\nAnswer: -36*r**2 + 766486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7*p + 6. Determine j(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 98 = 2*c, 10*c - 5*u = 4*c + 214. Solve b = -12*b - c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001601 rounded to 7 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + 34 + -47 - -97?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8332459?\nAnswer: 31, 268789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1735 + (8 - (6 - -9)). Let l = q - 1107. Is l a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.4129942 minutes?\nAnswer: 24779652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177877230 to the nearest integer?\nAnswer: 13337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3978 - 3845. Calculate the smallest common multiple of 266 and r.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 3 - 3)*(-2 + 5 - 2)*(-568 + 671 + 443)*((0 - 3 + 2)*(0 - 2 + 3) + 4 - 4 - 1 + 0 + 3 - 5).\nAnswer: 4368*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*u - 215 + 149 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 81 = 4*z - 7*z, 2*c + 2*z = 46. Solve -3*i - u - 16 + 5 = 0, 0 = 5*i + 5*u + c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 155 and -147601.\nAnswer: -22878155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 89 - 11*s + 9*s + 649. Let z be r(0). Does 6 divide (-3)\/(-7) - z\/(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 + s - 1. Suppose 35 = -5*u + 10*u. Suppose 0 = -4*b - 3*i - 11, -b = -3*b + i + u. Let v(o) = o**3 + o**2 + 1. Determine b*h(p) + v(p).\nAnswer: p**3 - p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75557049?\nAnswer: 3, 25185683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.299 + 6.299. Let a = 1 - 3. Which is smaller: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 + 2 + 100*1. Which is smaller: 97 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -94, -7, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 22 - 24 - 11 - 30)*(19 + 26*j**3 - 19) - 4*j**4 + 4*j**4 - 4*j**4.\nAnswer: -30*j**4 - 1118*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 11. Let j = -3 - -14. What is the remainder when a is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/7, 1\/17, -0.06?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 2*k**2 + k. Let i = -4 + 6. Let m be p(i). Suppose -3*v + 3*t + 12 = 0, -3*t - 4 = 5*v - 2*t. Solve v = m*h + 8 - 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4361 is divided by 311?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 0 + 0*x**4 - 56*x + 32*x**2 - 2\/3*x**3 - x**5. Find the first derivative of m(i) wrt i.\nAnswer: -60*i**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4382 is divided by 669.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -0.1 (c) -4\/97 (d) -346344\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/54)\/(((-4840)\/99)\/44)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62517 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1326*u + 2 - 4187*u + 1349*u + 1083*u.\nAnswer: -429*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + 6. Let o = 9 + p. Solve 3*c + 4*g - o = -c, -28 = -3*c - 5*g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(70) - (sqrt(70) - -1*sqrt(70)))*3)\/sqrt(7))\/((sqrt(5) - (sqrt(5) + -4*sqrt(5)*1))*-4) + -1.\nAnswer: 3*sqrt(2)\/16 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11299 divided by -2.\nAnswer: 11299\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z + 65. Does 13 divide p(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.9 + 1. Let k = -49 + 18. Let n = -32 - k. What is the closest to n in -1, 1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/4)*d*d**(-1\/43)*d)\/(d**(-17)*d**(-9)\/d))**(-1\/22) assuming d is positive.\nAnswer: d**(-4855\/3784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300 and 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -8211 and -0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 16*x**2 - 9*x - 7. Is o(-2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5960534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 2*a - 30. Let g = a + -6. Suppose -3*k - g*v + 48 = -16, -3*v = -2*k + 37. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -31*u**3\/3 + 3*u**2\/2 + 14*u. Let o be c(-2). Suppose 3*r - 305 = o. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4 - 360*x**3 + 356*x**2.\nAnswer: 4*x**2*(x - 89)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 935 - 932. Let h = 131 + -914\/7. Which is the smallest value? (a) -4 (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/(-24))\/((-164)\/(-81) + -2). Suppose f = 116 - s. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 - 0. Let h = -90 - -89.963. Let j = h + -0.063. What is the biggest value in m, j, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n = -2*l - 10, -2*l - 4 = 0. Suppose n = v + 5. Suppose 3*z + 2*x = z - 6, -3 = 5*z - x. Which is bigger: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 = -42*t - 151 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50\/12 - (-3)\/(-18). Let k be (-2 - -98)*3\/(18\/z). Let h = -11 + k. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -11*w**2. Let q(h) = -h**3 + 9*h**2 - 13*h - 30. Let v be q(6). Let y(u) be the first derivative of -5 + 1\/3*u**3 + v*u**2 + 0*u. Calculate y(l(i)).\nAnswer: 121*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - (-2 - -4)) + (13061 - -22)?\nAnswer: 11, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.95 - 0.05. Let w = -3 - n. Let l = 195 + -973\/5. What is the smallest value in w, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19608912?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14124969247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 961116?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + 0 - 110\/12 and ((-453)\/(-90))\/((-90)\/(-150)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/27803?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 247025175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13544441, -27088883, -40633325, -54177767?\nAnswer: -67722209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2. Let f(w) = -4*w**2 + w**2 - 3*w**2 + 10*w**2. Determine f(r(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 o when four letters picked without replacement from oooooeoeoeoeoooo?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/6 - 34\/6. Let h be ((-28)\/49)\/((-2)\/(-7)). Let y be (4 - (-15)\/z)\/h. What is the closest to y in 0.05, -2\/9, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469*i**2 + 380*i**2 - 5 + 7 - 2 + 464*i**2 - 1260*i**2.\nAnswer: 53*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 11*p + 2. Let h be -5*-4*1\/(-10). Let v be 7\/3 - h\/3. Is x(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/14)\/(2\/(-12)). Factor 2*z + z - 6*z**2 - 2*z**3 + 8 - p*z.\nAnswer: -2*(z - 1)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8544583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211211 + 2340432?\nAnswer: 2124221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*d - 97*d - 60*d - 8*d - 1.\nAnswer: -132*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -374182, -748422, -1122704, -1497028, -1871394?\nAnswer: -2245802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1621 - 201?\nAnswer: -1822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 0) + (17 + -35 + 4 - -20).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -5*x - f + 20, 5*f - 33 = -4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -3\/10, -2, -0.4, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10*(-65 + 60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*p + 133*p - 40 = 0 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100146046 to the nearest integer?\nAnswer: 10007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21a1 (base 12) in base 9?\nAnswer: -5084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.647 + 0.547. Let y = -0.14 - -0.1. Which is the nearest to w? (a) y (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmct when four letters picked without replacement from {m: 2, c: 2, z: 1, t: 2, k: 1, e: 5}?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 276*z**2 - 1888*z - 24. Give c(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 - 3*m - 5. Let o be g(-1). Let p(v) = -4 + 3 + v - 2*v. Let i(x) = -2*x**2 + 7*x + 5. Determine o*i(r) + 6*p(r).\nAnswer: -2*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsqssqsqqsqqss. What is prob of picking 2 s?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -68213?\nAnswer: -3\/68213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -0.9. Suppose q + q - 12 = -4*z, -18 = -2*z - 4*q. Let m = 13\/2 + -6. Put v, m, z in descending order.\nAnswer: z, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -4, -38*y = -2*c - 46*y + 38 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 5*j - 12. Let m be b(-7). Let y(i) = 23*i**2 - 3*i + 12. What is the units digit of y(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 308 = -5460. Let d = -823 + b. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-26 + (29 - 26) - -19).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(12) - sqrt(1200)*1))**2.\nAnswer: 17\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1010 * -23.93.\nAnswer: -24169.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82 - -82. Let u(l) be the second derivative of -1\/2*l**2 + 4*l + 1\/6*l**6 + 0 + 0*l**4 + z*l**3 + 0*l**5. What is the derivative of u(a) wrt a?\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 74104560?\nAnswer: 74104560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*p + p**2 + 0 - 2*p**2 + 0 - p**3 as r*p**2 + l + f*p**3 + o*p and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of ((-448)\/80)\/((-1)\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 1:17 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -604601 + 5?\nAnswer: -604585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57345.\nAnswer: 3, 5, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 5 = -3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5 + sqrt(612)*3 + -2 + (1 + sqrt(17))*2)**2 + -5.\nAnswer: 200*sqrt(17) + 6815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2022 - -32?\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*n - 15*n - 3*n + 43 + 43*n + (3 - 5 + 0)*(6*n - 3*n + 5*n) to a + t*n and give a.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - j + 3*j - 29, v + 2*j = -21. Let h = -16 - v. Find the third derivative of -h*d**3 - 4*d**4 - 8*d**2 + 9*d**3 wrt d.\nAnswer: -96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*u + 4*n - 13, -u + n = 2. Let s be (9 - 8)*(u + 2). Let v(x) = 2*x. Calculate v(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*t - 3*t + 2*t + (4 + 0 - 2)*(-3*t + 3*t + 41*t)*(2 + 2 - 6).\nAnswer: -159*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 262 (b) -3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.208?\nAnswer: 0.0416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*s - 19, n - 1 = s + 6*n. Solve 4*m - 12*u + 8*u = 0, -2*m = s*u - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*n + 34 = 0, -4*o = -2*n + 3*n - 7. Solve -2*a - 3*a - 7 = 4*z, -o*a + 2*z + 9 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 - 14*j**2 - 82*j - 66.\nAnswer: 2*(j - 11)*(j + 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -14. Let h be (-4 - -5)\/((-2)\/x). What is the tens digit of 11 + (-3 + h - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/6 + 45\/6. Let z be 28\/x - (1 + 1). Let w(p) = 0*p**2 - 2*p**2 + z*p**2 - 2*p**2. Let l(r) = -8*r. Calculate w(l(q)).\nAnswer: -128*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 3*w**2 - 2*w + 7. Calculate y(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrr when three letters picked without replacement from {y: 7, r: 6, z: 1}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 4*m + a - 24, 4*m + 2*a = -12 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/30*8\/(-30)*15\/(-3)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 0\/(-1)) + -1. Let b = 3 + h. Suppose b = 3*x - 10 + 1. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -519 - -601. Let r be z\/369 + 268\/9. Solve 2*u = 8*u - r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-762)\/(-12) - (-1)\/(-2). Suppose -47 + f = 4*q. Calculate the least common multiple of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -249, -232, 1, -2 in descending order.\nAnswer: 1, -2, -232, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/213 and -50\/9.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10c623 (base 14) to base 15\nAnswer: -b4709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4119\/194 greater than -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 330252 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5226, -10450, -15688, -20934, -26182?\n\"Answer: r**3 - 13*r**2 - 5192*r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 2*x**2 - 8*x + 6. What is the remainder when 285 is divided by r(5)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 43*y - 4122 = 47*y, 2*y = 0. List the prime factors of p.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(6)\/sqrt(2))**2 + sqrt(147) + 0 + 5 + (sqrt(3) - -4*(sqrt(18)\/sqrt(6))**2) + ((-1*sqrt(36))\/sqrt(12))**2 + sqrt(3) + -2.\nAnswer: 9*sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26208.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33472151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 539?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.925 + 0.075. Which is the third biggest value? (a) n (b) -8 (c) -5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 + 4613728*n**2\/3 + 5321635355653*n\/3 + 10643215346642.\nAnswer: (n + 6)*(n + 2306861)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -25*y + 9. Let s be g(2). Let u = s - 7. Let r be 6\/8*u\/(-9). Solve 0 = r*o - 0*w - 4*w + 4, 1 = -o - 2*w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + 252 = 8*g. Let s = -84 - g. Put s, -1, -3, 35 in increasing order.\nAnswer: -3, -1, s, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/5, 5, -1, 21173, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*r - 28*r = -5*d + 3024, 2*r + 1803 = 3*d. Let f = 1042 - d. List the prime factors of f.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17\/78 + -5\/13. Let t = 224129585\/8672 + -778104\/271. Let l = -22977 + t. Calculate the common denominator of l and c.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46271 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -658 + 0*a + 15*a**2 - 5*a**2 + 0*a + 669. Let o be (-3 - -2)*(7 + -2). Let m = -3 - o. Let q(s) = 2*s**2 + 2. Determine m*b(y) - 11*q(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.93? (a) 0.34 (b) -22 (c) 4 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 387947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2353?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 760956948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21 - -1522?\nAnswer: 1543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(19)*5 - sqrt(304)*1.\nAnswer: -19*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -52, -74, -114, -178, -272, -402?\nAnswer: -574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h. Solve -4*f = h, 2*g - 6 = f - 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1155229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33750766?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01045389 rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2. Let d(v) = 628*v**2 + v. Calculate d(y(l)).\nAnswer: 628*l**4 - l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2, -28 + 140 = -2*x + s. Let p be 4*(x\/12 - -6). Solve 4*w - 5*g = -19, -1 = 3*w + p*g - 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from pidijjppwjwpww?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 1, 2\/15, -10\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p + 13. Let h(t) = -1. Determine -h(c) + w(c).\nAnswer: 3*c + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 48858?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2*s - 69. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 3*n**2 + 2*n + 1. Let q = -4 + -10. Let w = q + 12. Let y be a(w). Is y != 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 511543 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -3. Let k be (-1 + 0)\/(-1) - 1. Suppose 0 = -5*t + 2*g + g + 11, -5*g + 15 = 0. Solve k*r + f*r - 4*o = -t, -3 = -4*r - 3*o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 17 + 2 + 11 + 4.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aorsf. Give prob of picking 1 f and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/5 + 201476*k\/5 - 5074072322\/5.\nAnswer: -2*(k - 50369)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13658 - 20158. Round i to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-10))**44)**(2\/11) assuming w is positive.\nAnswer: w**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, z: 4, h: 3}. What is prob of sequence zhhj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/7042 and -37\/2.\nAnswer: 7042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/320 and -99\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 4*r**3 - 430148*r**2 + 24078880*r - 337060416 = 0.\nAnswer: 28, 107481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/11, -44537, -0.3 in decreasing order.\nAnswer: 2, 2\/11, -0.3, -44537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -2. Suppose c*m = 8*m - 35. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (281*b - 160*b**2 - 281*b)*(-13*b + 1 + 1 + 0)*(-b + 0 + 0).\nAnswer: -2080*b**4 + 320*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (33\/(-8))\/((-525)\/84*51) and -101\/1360.\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.3 * -0.5\nAnswer: -4.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.052 + 0.0519714. What is q rounded to 6 decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 720811 and 118815.\nAnswer: 10812165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-861)\/(-6)*(-4032)\/(-588) is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -7*y**2 - 2. Let t(o) = -11*o**2 - 3. Give -5*t(v) + 7*w(v).\nAnswer: 6*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 12*d - 59. Let v be b(6). Suppose -v*f + 18*f = 65. Calculate the remainder when 74 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0525444 * -39\nAnswer: 2.0492316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27820444 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 12 = a, -2*a + 56 = -4*k + 14. What is the lowest common multiple of a and 21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/1226872 and -35\/6287719.\nAnswer: 50301752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7475\/306 + -335\/17. Calculate the common denominator of 139\/180 and j.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -810, -689, -530, -369, -242, -185?\n\"Answer: -6*p**3 + 55*p**2 - 2*p - 857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/4)\/(252\/1140552).\nAnswer: 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 4*y - 5. Let u be (-5)\/(-10) + 11\/2. Let o = 64 + -44. What is the remainder when o is divided by v(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 6*d + 2. Let o be n(6). Suppose 0 = y + o*y - 27. Let j = -83 - -88. Calculate the lowest common multiple of y and j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-2\/13)*w)\/w**(-2\/3))\/(w**(-1)\/(w**(1\/4)*w))*(w*w**(-1\/4)*w*w*w**(-7))**(-25\/6) assuming w is positive.\nAnswer: w**(2441\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 481222 to the power of 1\/2, to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1204157?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - m. Let r(j) = j**3 + 8*j**2 + j. Let t = 285 - 288. Let v(l) = t*f(l) + r(l). Give v(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 194*d. Let c(h) = -736 + 372 - 16*h - 6*h + 364. Give c(z(v)).\nAnswer: -4268*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/8 + 3)*10. Let u(w) = w - 15. Let t be u(a). Solve 5*d - d = -20, 2*n - d - 7 = t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 11. Calculate l(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*g = 96*g - 9. Calculate the remainder when 460\/((-20)\/(-5)) - g is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 0)\/(0 - -2). Let g = 1.314 - 4.314. Which is the closest to 2\/3? (a) j (b) g (c) 0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -10, 43, 162, 365, 670, 1095, 1658?\nAnswer: 2377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2220220201 + -1201?\nAnswer: -2220222102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x + 3. Let w(s) = 10*s - 12. Let b(i) = 4*g(i) + w(i). Let o(n) = 370*n. Give b(o(p)).\nAnswer: 740*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 + 18*u**2 + 19*u + 20. Determine k(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1239, -948, -457, 240, 1149, 2276, 3627, 5208?\n\"Answer: n**3 + 94*n**2 + 2*n - 1336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4653?\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 23*i + 18*i = 0. What is the fourth smallest value in 4, 0.08, i, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -76 at least as big as -592985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j - 1. Let t be 6\/8 - 65\/(-20). Suppose t*c = 6*c + 10. Calculate the remainder when 55 is divided by o(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (6 - (12 + 21)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1676)\/(-144) - (-4)\/36)*4. Sort u, -3, -28 in increasing order.\nAnswer: -28, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3428 + 551. Suppose 2*d = 13*i - 14*i + 2651, -3*d + i + r = 0. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59969*b**2 - 74035*b.\nAnswer: -119938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 273*b + 2103. Calculate j(-8).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s - 3. Let h be (-20)\/8 - (-2)\/4. Let m = h - -5. What is the units digit of w(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 0 + 13\/6*l**3 + 5*l + 3\/2*l**2. Let c(r) = -7*r - 2. Let p(u) = -11*c(u) - 6*k(u). What is the derivative of p(i) wrt i?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -1*(5 + -9 - -2). Suppose 2*v = -8, 0 = 8*y - 6*y - m*v + 198. Which is smaller: y or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(294)*2 - sqrt(294)))\/((-3*sqrt(432) + sqrt(432))*5).\nAnswer: 7*sqrt(2)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.123+268083745\nAnswer: 268083744.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4175 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 5) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = z - 2*l - 13, 19 = -z - 4*l. Is 21 a factor of (z - 1) + 64 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 716, 700, 658, 578, 448, 256?\n\"Answer: -2*w**3 - w**2 + w + 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-32)\/(-12) - 2)*-54. Let r be (-17)\/6 - (-6)\/y. Let p be 1 - (r + 6 + -7). Calculate the highest common factor of p and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -120 + 215. Suppose -4*z = 3*l - 68, 2*l - 5*z + 19 = w. Let s = 51 + l. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2659 + 2619. Which is the nearest to x? (a) 0.3 (b) 2\/57 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2 - 1 = 0. Let f(q) = -2*q. What is f(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**3 + 2*o + 11. Let u(k) = -9 + 4*k + 3 - 5*k + 0*k**3 - k**3. Suppose 2*h = -q - 23, -5*h - 51 = 10*q - 14*q. What is h*u(w) - 6*n(w)?\nAnswer: -7*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/480 and 127\/76800.\nAnswer: 76800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (71*b**2 + 167*b**2 - 509*b**2)*(-1 + 1 + 2)*(1 - 1 + 1) to the form o*b + d + t*b**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2251415 to the nearest integer?\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.082478 rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 4*n. Suppose -3*q - 2*f = -4*f - 40, -f = 5. Suppose -l = 4*g + 5, -g + l = 5*l - q. What is k(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 7. Solve m*g = -2*g + d + 2, -3*d - 6 = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110001000001100100 (base 2) to base 6.\nAnswer: -4145352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-5)*g*g)\/g)\/g**(-7\/4)*(((g*g**(2\/11))\/g*g)\/g)\/(g\/(g*g\/g**(2\/57))))**(-38) assuming g is positive.\nAnswer: g**(259\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3 - -1*265\/20 and -19\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 6:34 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 9 - 3*x**3 + 4 + 5*x + 2*x**2 to the form j*x**3 + g*x**2 + s*x + h and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1083616 to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 6*u - 14 = 4*i, 9 = u - 3*i. Solve -u*d = 40 - 34 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 1121.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3321 and 4671?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p - 1 + 1)*(-5 + 4 - 9) - p - 3*p + 2*p + (2 - 1 - 3)*(0 + 0 + 2*p) + p + p - p - p - 3*p + p to b + c*p and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -2\/23 (c) -1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2175, 2177, 2179, 2181, 2183?\n\"Answer: 2*f + 2173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 841*w - 65. Let a be l(1). Calculate the highest common factor of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**3 + 3*j**2 - j + 1. Let u(k) = -11*k**3 - 6*k**2 + k - 2. Let l(h) = -9*n(h) - 4*u(h). Calculate l(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 17, 2, -4, -177, 1 in increasing order.\nAnswer: -177, -6, -4, 0, 1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -393619?\nAnswer: 393622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -45 (b) -2\/73 (c) -1\/5 (d) 57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 42, 46, 16, -54, -170, -338, -564?\n\"Answer: -w**3 - 11*w**2 + 44*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 5:12 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.910071 - 260806940.\nAnswer: -260806940.910071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 + 732*p**2 - 7*p**2 - 31 + (-8*p + 4 - 4)*(0*p - p + 0*p) + 3*p**2 + 2*p**2 - 3*p**2 to the form n + d*p**2 + t*p and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/15)\/((-23)\/((-575)\/10))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 34*g - 2. List the prime factors of w(9).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -10*a - 3528. Let y = -128 - a. Suppose -y = -4*r - 17. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9129 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-149 - 130 + 281 + 450*j)*(-2 - 2 + 2) + (j + 0*j + j)*(-3 + 2 + 2).\nAnswer: -898*j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (273\/(-208))\/((-952)\/1360)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1533769892?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/4)\/(6\/8). Let h be x\/(-4)*(-1)\/(-2). Let r = -2 + -3. What is the biggest value in -4\/7, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2513\/6 or 419?\nAnswer: 419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20 and 59603.\nAnswer: 59623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - p - w = -94, 4*w = -5*p + 112. Calculate the greatest common divisor of p and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-3))\/(21\/(-18)). Let z = 25666.2 - 25666.4. Let r = 2 + -2.1. What is the closest to r in l, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 0, -3*k - k + 45 + 39 = -t. Suppose 0 = -4*h + 5*p - 3, 6 = -0*h - 2*h + 4*p. Solve -h*u = -10 - 5, 0 = -w - 4*u + k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24967595?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43.82 + -46.82. Let y(o) = o**2 - 3*o - 1. Let p be y(4). Sort -1\/6, p, -5, n in increasing order.\nAnswer: -5, n, -1\/6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + 15. Let z(l) = 6*l**2 + 4*l + 23. Let g be (15 + 81\/(-9))*(-2)\/3. Calculate the remainder when z(g) is divided by m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7521986um in meters?\nAnswer: 0.0000007521986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/3, -3\/2, -6, -7\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 45463681, 90927349, 136391017, 181854685, 227318353?\n\"Answer: 45463668*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*b**6 + 2*b**6 - 2*b**6 - 3*b**2 + 0*b**6 wrt b.\nAnswer: -600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -9554, 6, -2\/3, -2?\nAnswer: -9554","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 5, 56\/9, 553, -2 in decreasing order.\nAnswer: 553, 56\/9, 5, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*588246.\nAnswer: -352947.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 3:15 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39948*w**2 + 19978*w**2 + 19993*w**2.\nAnswer: 23*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p = -i + 3, p + 9 = 2*i. Is 3 a factor of ((-14)\/i)\/(1\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 12 = 3*i. Let y(d) = -2*d + 4. Let f be y(i). Is (-2)\/4*f + 132 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 12*p + 8. Let m be g(-9). Let v = m - -114. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 38*z**3 - 2396*z**2 + 119*z - 274. Determine a(63).\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l + 22. Let p(g) = -g**2 - 7*g - 18. Let q be p(-6). Let s be v(q). Which is the second smallest value? (a) -0.4 (b) 5 (c) s (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 6*r + 37. Let h be b(7). What is the highest common factor of 64 and h?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2\/(-6)*22*21\/(-462)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 375927*x**4 - 2*x**3 - 4*x**2 + 61*x - 173178 wrt x.\nAnswer: 4511124*x**2 - 12*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1291*p - 2079 wrt p?\nAnswer: -1291","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 485*c + 499. List the prime factors of s(46).\nAnswer: 3, 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1484, -1502, -1520, -1538?\nAnswer: -1556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-7.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -19. Let y = l - -11. Find the second derivative of t + 4*t**4 - y*t - 5*t**4 - 3*t**4 wrt t.\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 1\/5, 4, 0.12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/2)\/w*w*w**(-7))\/((w\/w**4)\/w*w**(-4\/3)))\/((w**2\/w*w)**(-45)*w**(-4)*w\/(w**4\/w)) assuming w is positive.\nAnswer: w**(557\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3 - 12 = 0. Let h = -14.87 + 15. Let w = h - 9.13. Which is the closest to w? (a) 0.5 (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -83 + 19cd?\nAnswer: 194a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 1:30 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 6*c - 4. Let m be v(7). Let d(h) = -m*h**3 - 2 - 7*h - h**3 + 10*h - 3*h**2 + 5*h**3. What is d(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2777, -11398, -25717, -45728, -71425?\n\"Answer: o**3 - 2855*o**2 - 63*o + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 270?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2. Let s(m) = -23135208*m**2. Give s(b(o)).\nAnswer: -92540832*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 19*b + 81. What is x(16)?\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19819.7 + -18575. What is the third smallest value in x, 1\/5, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 2*q = 13, -18*u - 47 = -13*u + 8*q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 7:24 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 2*h**3\/3 + 2*h**2 - 5*h + 3. Suppose 4*i + 2*r + 13 = 5, -i - 3*r + 8 = 0. What is the tens digit of x(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b7 - 2?\nAnswer: b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26029 + 234184 = 15*n. What is the remainder when n is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3\/3 + 152*l**2 - 11996*l\/3 + 3848.\nAnswer: -4*(l - 74)*(l - 39)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - -4 - (4 + -16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -54971 divided by 1?\nAnswer: -54971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + 2*sqrt(119))*3 + sqrt(119) - (sqrt(119) + -5*-1*sqrt(119)))\/(2*sqrt(567) + sqrt(28)\/sqrt(4)*6) + -1.\nAnswer: -1 + sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 81 - 425384*p**3 - 4*p**2 + 425383*p**3 + 4*p**2 in the form f*p**2 + c + x*p**3 + u*p and give c.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/21 (b) -0.3 (c) -7185 (d) 53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -13\/30*p**7 + 0*p**3 + 0*p**6 + 0*p + 0*p**5 - 20*p**2 - 7 - 113\/24*p**4. Find the second derivative of b(j) wrt j.\nAnswer: -1092*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/t**(1\/3))**(11\/4)\/((t**(-1)\/t)\/((t\/(t\/t**17)*t)\/t)) assuming t is positive.\nAnswer: t**(79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*p**2 - 15\/2*p - 3\/2*p**3 + 75.\nAnswer: -3*(p - 2)*(p + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s - 10. Suppose 0 = -5*f + s*f + 6. Let p be -2*(0 + f\/8). Which is the third biggest value? (a) -5 (b) -0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14398158.7 take away -0.0721?\nAnswer: 14398158.7721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 h, and 1 y when three letters picked without replacement from {v: 4, j: 6, b: 1, h: 2, y: 2}.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 9*u - 10*u + 4*u.\nAnswer: 3*u + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 10:40 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -6. Let n(p) be the first derivative of p**4\/4 + p**3 - 2*p**2 - 2*p + 11. Let b be n(x). What is the second biggest value in -2\/19, 2, b?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + u. Let p be a(1). Suppose 170*j + 71*j - 270 = 151*j. Solve j*h - 5 = p*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6174 - 3675\/2*z - 3\/2*z**3 - 147*z**2.\nAnswer: -3*(z + 7)**2*(z + 84)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (230\/22)\/(7\/49) + (-2)\/11. Solve 3*w = -76 + s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39864969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w + 2*w + 2*w**2. Let s(v) be the third derivative of 0 - 9*v**2 + 0*v + 3\/8*v**4 + 0*v**3. What is z(s(k))?\nAnswer: 162*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1996fe7 - 3?\nAnswer: 1996fe4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/5 + 22597\/3830.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 7*s**2 + 14*s + 30. Let g be 19\/4 - 6\/8. Suppose 0*c - 24 = -g*c. Calculate the remainder when y(-4) is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -9 (b) -5\/3 (c) -2257 (d) 4 (e) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 2:33 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*w - 5, -3*w + 13*j = 9*j + 11. Let p(c) = 8*c**2 + 2*c**2 + 6*c**2 - w*c**2. Let a(x) = -2*x. Determine p(a(m)).\nAnswer: 52*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 10 + 7*f**2 + (f - f + f)*(-2 + 2 + 3*f) - 2*f**2 + f**2 - f**2.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**15)**(1\/32)*h**(2\/131)*h**(-5\/6) assuming h is positive.\nAnswer: h**(-4393\/12576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = -35*b + 470. Let j(w) = 4*w + 1. Calculate j(b).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + d - 233 = 0, 2*d = 3*w - 447 - 267. Let q be w + -159 + 1\/(2\/(-10)). What is the greatest common divisor of 24 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2. Suppose -28*c = 18*c - 2*c. Let g(u) be the third derivative of -7\/12*u**4 + 0*u**3 + c*u + 15*u**2 + 0. Calculate a(g(t)).\nAnswer: 392*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y + 7. Let t be z(-1). Suppose d = -t*b - 15, -4*b = -8*d + 13*d + 42. Let p(n) = -n + 2. Give p(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**2\/2 + 5*u + 2. Let a be g(4). Let q = 3879 - 3870. Which is smaller: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 90\/150 - (-76)\/(-10). Let z(y) = y - 9. Calculate z(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10176)\/6360)\/(-3*2\/10)*63\/(-156)\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80.6 + 90.6. What is the second biggest value in -2\/7, 27, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/4874618 and -93\/9749236.\nAnswer: 9749236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5092 and 140.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -273*m - 12279. What is a(-45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 49*g - 74*g + 14*g + 19 - 7 + 15*g.\nAnswer: -94*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 + 0*n**2 - 8*n - 3 + n**2. Is 3 a factor of t(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46660438.\nAnswer: 2, 11, 601, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.26, -1, 3, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012229 to 7 dps.\nAnswer: -0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100265*s + 157484 with respect to s.\nAnswer: 100265","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 226\/491 or 0?\nAnswer: 226\/491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + x**2 - 14*x**2)*(0*x - 2*x + x + x + 0 + 0 + (x + x - 4*x)*(-5 + 3 + 0) - 15*x + 5*x - 8*x).\nAnswer: 210*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 41271609, 41271614, 41271619, 41271624, 41271629, 41271634?\n\"Answer: 5*c + 41271604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 - 414153759*l**2 + 414153762*l.\nAnswer: -3*l*(l - 1)*(l + 138051254)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7*r**2. Let j(z) = 7051*z**2. Give m(j(b)).\nAnswer: -348016207*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -12*z - 44. Let d(a) = 308*a**2. Give d(l(x)).\nAnswer: 44352*x**2 + 325248*x + 596288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 75, 114, 149, 180, 207, 230?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, 4390, 0, 40, 1 in descending order.\nAnswer: 4390, 40, 1, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 2:17 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 843708.\nAnswer: 2, 3, 70309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771809683?\nAnswer: 29, 26614127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppqqpppqqqpqq. Give prob of sequence qp.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 86830 and -0.4.\nAnswer: -34732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-3 + -4)) + (-14 - (1 + -4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 64 = 5*i. Suppose -l = -12 + i. Find p such that 28*p**l + 9*p - 48*p**2 - 85 + 3*p + 93 = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1131 + -1113. Solve -12 + r = 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, w: 4, q: 1, b: 3, x: 1}. Give prob of sequence qxu.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 700 a factor of 1197700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3335 = 5*t - 5*q, 3*q - 731 = -t - 52. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (21 - 1) + 1648\/(-103). Let l(v) be the second derivative of 0*v**5 + 20*v + 0 + 0*v**3 + 7\/30*v**6 + 0*v**f - 4*v**2. Differentiate l(o) wrt o.\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-20))\/1)\/((-9)\/(-135))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 134*j - 10781. Determine g(81).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*v**3 - 80*v**3 - 121*v**3 - 185*v**3.\nAnswer: -491*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -10*t**2 - 11. Let f(z) = 12*z. What is f(y(c))?\nAnswer: -120*c**2 - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2 = 2*d - 1193, 5*o - 2*d = 1985. Suppose h - 4*h = 2*x - o, 193 = x - 4*h. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(1\/5)\/c)**(-8)*(c**(-1\/17)\/c)\/(c*(c*c*c\/c**(-1))\/c))\/((c*c*c**3*c)**(-43))**48 assuming c is positive.\nAnswer: c**(1051394\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.703 + 1389.\nAnswer: 1397.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) -2\/11 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/37353 at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 - 47 = 28*j - 11*j. Solve -h - 18 = -5*x, -2*x - j*h + 19 = 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819914261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 5487519940 to the nearest 1000000.\nAnswer: 5488000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.58348s in microseconds?\nAnswer: 55583480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 14*c - 44. List the prime factors of h(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 3:38 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 62*j**4\/3 + 32608*j**3\/3 + 1121894*j**2\/3 + 339644*j - 23472 = 0. Calculate j.\nAnswer: -489, -36, -1, 2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 1\/2)*4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -165*z**2 - 172*z + 331*z + 26*z**2 - 166*z in the form n*z + x + q*z**2 and give q.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -26 * 3\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m + 4. What is the units digit of v(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*z - 4*z, i - 4*z + 6 = 0. Suppose i*u - 5*s = 305, 0 = u + 2*s - 108 - 49. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13.94386kg?\nAnswer: 13943860000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, c: 6, p: 2, e: 3, o: 1}. What is prob of sequence cc?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 648629\/2 and 324314 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - h. Suppose 3*i - 2*i = -5*r - 4, -4*i = -5*r - 9. Let k(o) = 4*o**2 + 3*o. Give i*k(w) + 3*g(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/857070 and -53\/24030?\nAnswer: 2571210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**3 + 0*f - 3*f**3 - 3*f - 2*f**2 + 4. Let m = -60 + 64. Let n be (-6)\/m + (-18)\/(-4). What is k(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k = 5*q - 19*k - 20, -4*k - 15 = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/15)\/(1\/(-10)). Suppose k = -2*j - 2 - 10, 4*k + o*j = -68. Let c = k - -42. Solve -5*v - 15 = -4*s, 3*s - c = 4*v - 9*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 0)*(3 - 7 + 2)*(r + 7*r**2 - r).\nAnswer: 56*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -30, 3, 20\/11, -458, -2?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -8. Let v = x + -9. What is the units digit of (-16)\/12*(v - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.11 less than or equal to 41184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -146\nAnswer: 5\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -4*z - 20, 20*c - 19*c + 25 = -5*z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a + 13*a + 1 + 40*a + 35*a.\nAnswer: 101*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-24)*6)\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -2. Suppose -11*a = -13*a - 30. What is the tens digit of (-1770)\/a*l\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, k: 2, m: 7, j: 1, u: 4}. What is prob of picking 1 m and 1 j?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + 0)*-2 + sqrt(252) + sqrt(252) + -1 + sqrt(252) + 4)**2.\nAnswer: 36*sqrt(7) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*q = -2*c + 3, 3 = c + 5*q. What is the least common multiple of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/12 (b) 4 (c) 79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0069957 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 13. Let x(b) be the third derivative of b**4\/24 + 2*b**3\/3 + b**2. Let n(h) = -3*m(h) - 8*x(h). What are the prime factors of n(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2 + 0*v**3 - 4*v + 2 + v**3 - 2*v**3 + 2*v**3. Let i be m(-5). What is the tens digit of i\/(-2)*84\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 + 550*y - 1652. What is z(3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -886593 by 8.\nAnswer: -886593\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 11*u**3 - 1895*u**2 + 178516*u + 180500. Let o(b) = -300*b**3 + 51165*b**2 - 4819890*b - 4873500. Let i(j) = 2*o(j) + 55*v(j). Factor i(q).\nAnswer: 5*(q - 190)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2415408627.\nAnswer: 3, 881, 913889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0 - 90 = 0. Suppose 0 = 9*n - v. Solve 0*l - 3*l + 12 = 3*p, 0 = -n*p + 4*l - 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43566 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**4\/8 + r**3 + 7*r**2. Give k(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 + 1.5. Which is smaller: 6 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -54?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 9) + 8 + (-6)\/6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z + z)*(-5*z**3 + 3*z**2 - 3*z**2) - z**4 - z**4 + 0*z**4.\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 12*q**2 - 99*q + 870. Is w(10) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-14))\/((-2679)\/133 + 17). Let l = -9 + 8.9. Let s(c) = -c**3 + 6*c**2 + 5*c + 3. Let w be s(7). What is the second smallest value in -1\/3, l, w, h?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21415431 (base 6) to base 10.\nAnswer: 640171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**3 + 2*k**2 - 178*k + 923. Give w(5).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9590, 9603, 9630, 9677, 9750?\n\"Answer: g**3 + g**2 + 3*g + 9585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -3 + (-57 - 19)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 11 + 3 + 80989*i - 5.\nAnswer: 80989*i + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -447\/7 (b) -0.3 (c) -2 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 7*n - 5 = 0. Suppose 4*s = -23 + 7. Let h be s\/((-12)\/(-15))*n. Sort -1, h, 2.\nAnswer: -1, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 3. Let c be a(-5). Let j(w) = -w**2 + 7*w - 3. Let h be j(6). Let t(z) = -2 + 4*z - 3*z**2 - 3 + h. Give t(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 135 or -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -257*q - 60374. Calculate x(-235).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 + 3*l**2 + 6*l + 6 + 4*l**2 - 3*l**2. What is a(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -4.7, -2, -5, -3\/26, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 8*p + 4)*(-50 - 16 + 16)*(0 + 7 - 2).\nAnswer: -2000*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/179 (b) -1.5 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11300\/3390*21\/(-14)*25.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 3:17 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 3*u. Suppose -3*n = -0*k + 4*k + 4, 5*k + 10 = -5*n. Let s be p(k). Solve 2*b**2 + 0*b - 4*b**s - 2*b = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6302641290?\nAnswer: 2, 3, 5, 11, 1361, 14033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342915 is divided by 1010.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1030 + 1035. Let o(w) be the third derivative of 0 + 0*w**3 - 11\/120*w**6 + 0*w**x + 0*w + 3\/8*w**4 - 6*w**2. Find the second derivative of o(h) wrt h.\nAnswer: -66*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-3)\/(-6))\/((-1)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 146965 or 146966?\nAnswer: 146966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.2954849um?\nAnswer: 0.00002954849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**8\/672 - s**7\/210 - 13*s**2. Factor l(v).\nAnswer: -v**4*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.077481112 to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*s - 1304, 0 = 2*n - 5*s - 30 - 480. Suppose n - 32 = 4*r. Suppose 2*p - 126 = -0*f - 2*f, f = 5*p + r. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**2\/2 - 4*f - 3. Is y(-8) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372400 to the power of 1\/2, to the nearest integer?\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6765103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 815 = -3*w - 697. Suppose -27 = -3*u + 9. What is the lowest common multiple of u and (1\/3)\/((-12)\/w)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) -1\/8 (c) -535.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2446, 4897, 7348?\nAnswer: 9799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*p - 257*p - 244*p - 241*p + 982*p - 1130*p**3.\nAnswer: -1130*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*x - 63. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -171170 - -171172. Let b(y) = 6*y. Let m(o) be the first derivative of -3*o**2 - 1. Give f*m(w) + 3*b(w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -133*r + 188*r + 106*r + 805 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2. Let a(i) = -17885*i**2. Determine k(a(l)).\nAnswer: 639746450*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 - 52*f**3 - 174*f**2 - 8*f + 232.\nAnswer: 2*(f - 29)*(f - 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 14 = 2*a, 0 = -a + 3*u - 7 - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -383.51 + 413.1. Let z = 0.59 - j. Let g = z - -32. What is the closest to -1 in -3, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38024 is divided by 7165.\nAnswer: 2199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 1920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 12955072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 + 6*t + t**3 - 18*t.\nAnswer: -t**3 - 12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48306702?\nAnswer: 2, 3, 19, 157, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4457259.2 and 2.\nAnswer: -4457257.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 13. Let o be q(7). Let i(c) = -48*c + o + 28*c + 21*c. What is the units digit of i(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqcyydyyy. Give prob of sequence yy.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 662433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -42\/33977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -8*v - 24. Differentiate -1 + 3 - 13*h**4 + v*h**4 with respect to h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -15 + 0 + 5 + y**2 + 10. Let x(a) = -a + 11. What is r(x(l))?\nAnswer: l**2 - 22*l + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 20*z + 33776. List the prime factors of z.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, k: 9, a: 1}. Give prob of sequence nnan.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, p: 4}. What is prob of sequence pppp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 6, t: 7, w: 1}. What is prob of picking 1 i and 1 q?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -207 - -221. Calculate the least common multiple of y and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 > 166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 5 - -8) + (13 + -67 + 0 - -13)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6436991303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60a07 (base 11) to base 6.\nAnswer: -1524155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 149*v + 2819. Calculate a(-25).\nAnswer: -906","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 6:35 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2\/3 + 350690372*w\/3 - 116896792.\nAnswer: 4*(w - 1)*(w + 87672594)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25506851 and 578?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -19673773.2 to the nearest 100000.\nAnswer: -19700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -68644.\nAnswer: 13728.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 139 - 91. Calculate the lowest common multiple of k and 22.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -0.2, -0.3 in increasing order.\nAnswer: -0.3, -0.2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 66216922 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klkllktktdld. What is prob of sequence ddt?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 5*j**2 + 2. Let h be s(-5). Find the first derivative of -t**3 + 2*t**3 + h - 4 wrt t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1026*c - 2059*c - 248 + 1034*c in the form x*c + d and give d.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3\/9*(-6)\/8\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 11*i**2 + 25*i - 110. Give u(8).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 69036089 divided by -197\nAnswer: -350437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 6*z**2 + 3*z - 4. Let s be w(-5). Let f = 12 - s. Calculate the least common multiple of 3 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2000110111 (base 3) to base 14.\nAnswer: 1067d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 3, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = g - 50 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -11*u**6 - 91*u**3\/3 + 83. What is the third derivative of c(k) wrt k?\nAnswer: -3960*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 2 - (-5 - -6) - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + i - 4 = 0, 5 = 4*t - 4*i + 1. Let a(b) = b**2 - 12*b + 9. Let v be a(12). Calculate the smallest common multiple of t and v*(-6)\/(-18) + 0 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**5\/60 - 5*b**4\/12 - 7*b**3 - 33*b + 38. Factor t(q).\nAnswer: q*(q - 21)*(q + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4968*b**2*k**2 + 2*b**2*k*y - 10*b**2*k + b**2*y + 20*b*k**2*y - b*k - 19*b*y + 26*k wrt k?\nAnswer: 9936*b**2 + 40*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 17*g - 20. Calculate the remainder when x(6) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*g**4*r**3 - 495*g**4 + g**2*r**3 + 3*g*r**2 - r**3 - 4 wrt g.\nAnswer: 144*g*r**3 - 11880*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -46*i**2 - 251*i + 58. Determine h(-5).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -515936, -515919, -515880, -515813, -515712?\nAnswer: -515571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 514469406 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 1\/56*t**8 + 36*t**2 + 0 - 2\/3*t**3 + 2\/5*t**5 - 1\/12*t**4 - 2\/105*t**7 - 1\/6*t**6 + 0*t. Factor f(a).\nAnswer: 2*(a - 1)**3*(a + 2)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -4.016. Let t = 0.01629 - y. What is t rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31133614483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3 = w, -4*w + 1 = 2*y + 17. Suppose 1 = y*i - 5. Suppose -f + 76 = 5*p, -i*f + 200 = -5*p - 8. What are the prime factors of f?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 742 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u - u - 3 - 3*u. Let q be h(-3). What is the greatest common divisor of 12 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-37)\/(-5) - 1)*(386 - (-1901697)\/(-4932)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - 145?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -16. What is the closest to 2\/7 in -0.3, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u - 14. Does 10 divide g(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 0)\/26*4. Let r = -301 + 32. Let g = 269 + r. Which is the second biggest value? (a) g (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/22 + (-6480480)\/(-51656).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15583, 1, -40 in decreasing order.\nAnswer: 1, -40, -15583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -142*u**2 - 27530*u + 3491. What is r(-194)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 0*w - w - 1 + (-1 - 8 - 2)*(0*w + 0*w - w).\nAnswer: 9*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -152, -197, 1 in increasing order.\nAnswer: -197, -152, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-180)\/8*-2 + -1. Let i be o\/(-11) - 9\/(-2). Suppose -3\/2*c**3 - 1\/2*c**5 - 3\/2*c**4 + 0 - i*c**2 + 0*c = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-1) + (26 - 23). Let a(h) = 3*h**2 + 14*h - 21. What are the prime factors of a(x)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k - 64 + 268*k**2 + 64.\nAnswer: 268*k**2 + 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = -4*a + 40 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*o = -21*o + 228 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -5*f + 551. Does 19 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1778 and 6096?\nAnswer: 42672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1384968 - -4753210237\/3432. Find the common denominator of f and 73\/1320.\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b**2 - 7*b. Let o(y) be the third derivative of -y**5\/20 - y**4\/8 - y**2. Give -3*i(z) + 7*o(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 376*z**4 - 3*z**3 + 287. Let q(v) = -753*v**4 + 5*v**3 - 573. Let k(y) = 5*b(y) + 3*q(y). Differentiate k(d) wrt d.\nAnswer: -1516*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/12 and -101\/336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, 4, -1\/4, -2, -12\/19, 1\/3?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 6:41 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.001779 * 0.839.\nAnswer: -0.001492581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3101211?\nAnswer: 3, 317, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 402099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 0 - 15 + 17*q + q. Does 35 divide w(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 2*a + 2*a)*(-41*a**2 + 11268 + a + 11267 - 22538).\nAnswer: 41*a**3 - a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*f - 10 = -0, 4*k - 2*f = 14. Let t = k - -1. Differentiate 17*g - 17*g + 3*g**3 + t with respect to g.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n = 53*n - 1200. Calculate the greatest common factor of n and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 2 = -3*l + 5, 3*q + 2*l = -8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10697073.453 less than 0.11?\nAnswer: 10697073.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*p - 332 = 223 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1099533 rounded to the nearest 1000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14918?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -30, 1061, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -30298266 and 2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 5*k - 15, -12 = 13*a - 10*a - 3*k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1*3\/(-36) - 2559\/20*(-430)\/(-774)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = -6*g + 1686. List the prime factors of g.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - u - 5. Let q(y) be the first derivative of y**2\/2 - 4*y + 3. Let k(l) be the first derivative of q(l). Give c(n) + 5*k(n).\nAnswer: n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18277*v + 728 = 18225*v for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*u - 32 + 32)*(1 - 1 - u).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1154a (base 15) to base 2\nAnswer: 1101011110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*x - 1149250 - 2702814 = 31*x. What are the prime factors of x?\nAnswer: 2, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = u + 70. Let t = 5 - u. Let s = 22 + t. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 367728, -5.\nAnswer: -5, -4, 367728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32505 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -0.4, 0.5, 1, 1\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.2, 17\/5, -5, -3, 1.02?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -452 or -453?\nAnswer: -453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-588)\/(-9800)*-1240)\/(8\/10)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000379706 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-30)\/9)\/(2\/15). Find the common denominator of (-64)\/(-55)*z\/(-10) and 64\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -1306814083.5396?\nAnswer: -1306814083.3396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68\/(-85))\/(-2*(-3)\/15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 17*u**3 + 2*u**2 + 2*u. Let r(s) = 1395*s**3 + 165*s**2 + 165*s. Calculate 165*a(z) - 2*r(z).\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 11. Solve 3 = i + y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*x - 28*x - 22*x + 3*x - 31*x.\nAnswer: -52*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -4) + 7 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/52, -1\/3, 1.7, -1\/2 in descending order.\nAnswer: 1.7, 3\/52, -1\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2764\/9 - 307. Let q = 1.8 + -1.7. Let p = -0.1 - q. Which is the fourth biggest value? (a) n (b) 0 (c) p (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 34\nAnswer: -5\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 12209162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42357.32 meters in nanometers?\nAnswer: 42357320000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-3360)*21)\/(6*(-3)\/(-16))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-16))\/((-115)\/(-92))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - p + 13. Let c be h(0). What is the first derivative of 5*b + c - 2*b - 3*b + 13*b**3 wrt b?\nAnswer: 39*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6205763.\nAnswer: 1453, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -177.3 rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*sqrt(1584) - sqrt(1584)) + 4)**2 + -4.\nAnswer: -192*sqrt(11) + 6348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 11:01 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 3195?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 10 = -2*x, 2*x + 7 = 3*x + 3*j. Is (128\/24)\/(x\/(-36)) - -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and 0.171225?\nAnswer: 3.08205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*p + 2790 = 522*p for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11753572 and 19928.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a - 3\/8*a**4 - 23\/8*a**2 - 1\/2 + 7\/4*a**3 = 0.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**2 + 5*t + 6. Let o(l) = -3*l**2 + 2*l + 5. Let z(g) = -12*g**2 + 7*g + 20. Let s(v) = -9*o(v) + 2*z(v). Give 4*h(w) + 5*s(w).\nAnswer: -w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 - -91. Suppose a*f = 8*f + 10880. Suppose -14*u + 52478 = f. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/3 (b) -21 (c) 0.3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/6, 0.3, 6, -1\/4, -2, 4.299, -0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 6. Let k = -1202 - -1199. Let p = -94 + 90. Put r, -2, k, p in descending order.\nAnswer: r, -2, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3888 is divided by 306.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 40 + 21*d - 10*d**2 - 29 - 26. What is the first derivative of v(x) wrt x?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 d when four letters picked without replacement from ddfffffd?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -167?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 853650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) 906.7 (c) -12 (d) -35 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 96da85d + 13?\nAnswer: 96da872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27189, 27175, 27153, 27123, 27085, 27039, 26985?\n\"Answer: -4*q**2 - 2*q + 27195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10987*r**2 - 10987*r**2 - 3*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -28 - -377a5a6?\nAnswer: 377a57b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - cacb?\nAnswer: -cad4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnzmznzmmmmmnz. Give prob of picking 4 m.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 881*n**2 - 1125*n - 9979063?\nAnswer: 1762*n - 1125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 13 - 4 = -5*r, -4*k - 2*r = -10. Let j be k*-4*(-1630)\/40. Let z = j + -67. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 - 61.921. Round j to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**8)\/x)\/x*x)\/x**(-1\/2))**(-7)\/(x**(1\/18)\/x*x\/(x*x**4*x))**(-2\/149) assuming x is positive.\nAnswer: x**(-159793\/2682)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5600229.38 rounded to the nearest 1000?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-34920)\/(-27) + -13)*3. Round u to the nearest 10.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -8*q - 6. Let t(u) = 15*u + 11. Let l(k) = -6*t(k) - 11*v(k). Let i(j) = 1 + 3*j - 9 + 8 + 0. Calculate i(l(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -14355.\nAnswer: 1\/2871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 972482 at most as big as 972340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14909782, -29819564, -44729344, -59639122, -74548898, -89458672, -104368444?\n\"Answer: c**2 - 14909785*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7038, 7048, 7058, 7068, 7078?\n\"Answer: 10*s + 7028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*a - 3763 = 737. Calculate the greatest common factor of 55 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.17, 6\/5, -0.4, 5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2055052 (base 6) to base 16.\nAnswer: -18a28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1797.53013us to days.\nAnswer: 0.000000020804746875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 8:34 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.542 + 0.236. Let u = -156.76211837 + 157.06812. Let q = b + u. Round q to seven decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-3\/10)*((j\/j**(-9))\/j)\/j*j)**46 assuming j is positive.\nAnswer: j**(2461\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssisisiciisissisisis. What is prob of sequence ic?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.37, -5, 5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1002\/202723?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o + 6 = 0. Let c(p) = -3*p**3 - p. Let b be c(-1). Suppose b*a - 194 = 2*z, -4*a + 2*z = -o*z - 203. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l*l**24*l))*l*l**(1\/48))**18)**(14\/9))**(5\/6) assuming l is positive.\nAnswer: l**(45395\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 + 0 + 11 - 7 - 4.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -67, -258, -583, -1048, -1659, -2422?\n\"Answer: -x**3 - 61*x**2 - x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 7)*(-4*m**2 - 10*m**2 + 2*m**2) + 3*m**2 + 3*m**2 - 3*m**2 - 9 + 10 - 6 + 2*m + m**2.\nAnswer: 76*m**2 + 2*m - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + (3*(sqrt(833) - ((sqrt(833) - (sqrt(833) - sqrt(833)*-1)) + sqrt(833))) - (sqrt(833) + 1 + -5 - sqrt(833))**2).\nAnswer: -14 + 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8\/5 + 7\/5. What is the second smallest value in 0.5, -2\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -23. Suppose 0 - 10 = s*c. What is the tens digit of 3 + (-90)\/(-1 + c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 15*j**2\/2 - 20*j - 7. What are the prime factors of x(9)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 10761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -736.5 - -737. Let x = 15 + -14. Which is the nearest to x? (a) o (b) 0.3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 115340 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -19 + (-2 - -8 - 5 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**5\/20 - o**4\/24 + o**3\/2 + 22*o**2. Let l(d) = -3 + 3 - d - 4*d**2 + 3. Let t(r) = -5*a(r) + 4*l(r). Calculate t(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83677*z**3 + 40198*z**3 + 43487*z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2948693ng in grams?\nAnswer: 0.0000000002948693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -19. Suppose u*f = -f. Suppose 2*n - 4*q = 20, f*n - 3*q = -n + 15. Put n, 2\/15, 3 in decreasing order.\nAnswer: 3, 2\/15, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/240*-30*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(648))\/(sqrt(4) - sqrt(32)\/sqrt(512)).\nAnswer: -144*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, o: 3}. Give prob of sequence aaa.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l - 9. Let f(j) = j + 2. Suppose 7*h - 40 = 2*h. Let z = 4 - h. What is z*d(c) - 18*f(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -13518 at least -13452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-5) + 5 + -9. Which is bigger: c or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 165*j + 2. Let b(y) = 328*y + 4. Let r(z) = 3*b(z) - 5*t(z). Let l(k) = k. Determine l(r(w)).\nAnswer: 159*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -16.48148 and -7245076.\nAnswer: -7245092.48148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28882231081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 + -2 + -4 - 0) + -5 - -7?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -7. Suppose -z = 220 - 4538. Suppose -10982 = t*h + z. Round h to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/16 - 225624\/(-896) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.8, 0.5, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 5:02 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/((7347\/62)\/79)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-17)\/(-85)*-1)\/((-26)\/20).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4381 rounded to the nearest 100?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 380862021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1430*f = -1517*f + 5220 for f.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21091431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 5098674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40710210?\nAnswer: 2, 3, 5, 479, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n - 5. What is i(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 g, and 1 p when four letters picked without replacement from {g: 3, y: 1, i: 7, p: 2, t: 1}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27244 a multiple of 278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i**2 + 14*i + 14. Let j(t) = t**2 - 3*t - 4. Let n(c) = -2*j(c) - r(c). Let a(s) = -26*s**2 - 23*s - 17. Give 6*a(k) - 17*n(k).\nAnswer: -3*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -z + 7 - 9 + 7 in the form l*z + r and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45488490139543 + -45488488379957.24800058. Let m = t - 1759601.752. Let g = 16 + m. Round g to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126.7 - -132. Let w = p - 5.2. Which is the closest to 1? (a) -0.4 (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.29 and -5?\nAnswer: -1.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**5\/20 + 41*v**3\/3 - 20*v**2 - 170*v + 1. Calculate j(0).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.36 - -0.3605. What is i rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m + 120 = 36 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2619 = -w - 2*w, d - 3492 = -4*w. Factor 6*l**2 + 51*l + 2*l**2 - l**2 - 859 + w.\nAnswer: (l + 7)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 70 and -0.633.\nAnswer: 69.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 4:00 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3786)\/(-18)*(-6)\/14. Let l = -100 + 10. Let q = l - n. Which is the second biggest value? (a) q (b) -3\/7 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1667, -3798, -7349, -12320?\nAnswer: -18711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -520204005 (base 6) in base 5?\nAnswer: -4244134443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11775 and 211479.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24801783 and 1083?\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-105)\/(-63))\/((-2)\/(-1152)). Let x = -953 + p. Is x less than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjj when three letters picked without replacement from {j: 11, v: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8989972619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -860208809.998969 + 860210146. Let o = n + -1336. Let x = 0.001 - o. What is x rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6323 + -107473?\nAnswer: -101150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 - 27*w**3 + 78*w**2 - 72*w.\nAnswer: 3*w*(w - 4)*(w - 3)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1048904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2. Let m(g) = 11*g**2 + 4*g + 5. Let p(z) = -m(z) - 4*o(z). Let h(i) = -i**2 + i + 1. Calculate -10*h(b) - 2*p(b).\nAnswer: 40*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 126 = 39. Suppose -i = 4*x - 7*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 0.1, -28, 8, -4, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**0*o**(-2\/31)*(o**(2\/23)\/o)**(4\/11) assuming o is positive.\nAnswer: o**(-3110\/7843)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -1799*v**4 + 2236*v**3\/3 + 2707. What is the third derivative of h(c) wrt c?\nAnswer: -43176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u + 554 - 513 = -k, k + 3*u + 11 = -3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(-10)*g\/(g*g*g*g*(g*((g**3*g*g)\/g)\/g*g)\/g))**(1\/35) assuming g is positive.\nAnswer: g**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 17 (c) 0.2 (d) -3\/7 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2*(-5)\/(-15))\/((-10)\/(-6)). Which is the closest to f? (a) -2 (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*s = 5*s - 1060035, -2*x - 3*s = -2120055. Suppose -3*z - 2120015 = -2*a, a - 2*a + 4*z + x = 0. What is a rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 388*s - 154. Let c(q) = q + 1. Let g(x) = -3*c(x) - j(x). Is g(-28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 k, and 1 n when three letters picked without replacement from {j: 4, k: 4, n: 3, g: 1, s: 1}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -13.62.\nAnswer: 0.4086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 724200173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109\/306 - -3\/34. Suppose -q - 5*k = 10, -4*k + 3 = 2*q + q. Put q, r, -0.5 in increasing order.\nAnswer: -0.5, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/252 and -95\/20412.\nAnswer: 20412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 10:09 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -u - 9*u + 3*u**2 + 6*u + 6*u**2 as f*u + q*u**2 + p and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 10 = 2*y, -2*y + 868 = d + 861 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*sqrt(228)*6)\/(sqrt(36)\/sqrt(3)*3).\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*l + 38*l - 6 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*g - 8. Suppose 4*q = 4*m + 12, 0*m + 5*q + 35 = -5*m. Let h = m + g. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 667 is divided by 45.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47cb7 (base 13) to base 5.\nAnswer: -13204201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*x - 135, 20 = -5*x - u + 145. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8498, 33480, 75126, 133442, 208434, 300108, 408470, 533526?\n\"Answer: w**3 + 8326*w**2 - 3*w + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mnmm when four letters picked without replacement from {m: 17, n: 3}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f**2. Let o(n) = 6*n**2. Let a(z) = -4*o(z) - 5*v(z). Let t be a(3). Let q = t + -6. 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 -61d0 (base 14) in base 2?\nAnswer: -100000111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*m - 2*u = 229*m - 10, m = 3*u + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 101 = 86, 2*o - 26 = -4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (21 - -1)\/(4\/4). Let w = v - 17. Suppose -w*r = -17 - 13. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4950, -10198, -15730, -21552, -27670, -34090?\n\"Answer: -b**3 - 136*b**2 - 4833*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 8 - 3 + 5*h - 4*h**2 - 6*h. Let g be m(0). Solve 0 = -g*s - 0 + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6943\/3 - -2313. What is the nearest to -2\/9 in q, 2, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agfzggffff. Give prob of sequence gfg.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9469440 a multiple of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 4. Suppose 0 = -h*x + 3*x. Let v be -1*(1 + 3)*-5. Solve x*c - 4*c + v = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 5*a + 23 = -2*d, 5*d + 5*a = -20. Sort d, 2, -8.\nAnswer: -8, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**(1\/42) assuming s is positive.\nAnswer: s**(1\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -55.1 and -107543714.\nAnswer: -107543769.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at least as big as 291\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1251202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-118*(1 + 1))\/((-1)\/24). Let s = h - 3343. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -364, -360, -344, -310, -252, -164?\n\"Answer: i**3 - 3*i - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s - 2*s + 50 + s - 50.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -504474 and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 1000*l**2 - 966*l**2 + l.\nAnswer: 34*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbm when three letters picked without replacement from mbmbmmbmbbbbmbmb?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -109, -214, -353, -520, -709, -914?\nAnswer: -1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 620042.15 rounded to the nearest one hundred?\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7526528551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 - -61. What is the tens digit of (s\/11)\/((-2)\/(-94))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/(l**(1\/4)*l))*l**(-1\/4)*l*l*(l**(2\/13)\/l)\/(l\/l**(-8)) assuming l is positive.\nAnswer: l**(-89\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 20 = -3*w. Suppose 4*j = -k - 2, 5*k - 6 = -w*j + 14. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 8) to base 16.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a**2 + 36*a + 10. Give q(9).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -9754347.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 38.53275 decades?\nAnswer: 4623.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4347 + 2200 = 19*z - 2204 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 10 = -7*n. Solve t + 7 = -n*a, -t - 3 = -a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*m = 28, 4*m + 8 = y + y. What is the smallest common multiple of ((-2)\/y)\/(5\/170) and 9?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14.99 at least as big as -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -173?\nAnswer: 8\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) -2 (b) -0.1 (c) -51 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 + -1 + 5 + -4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29832*g**3 - 1674 wrt g.\nAnswer: 89496*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 8*t**2 + 7*t + 4. Let r(y) = y**2 - y + 1. Let i be r(3). Let c be o(i). Suppose 8*m - 644 = c*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -29.5. Which is the nearest to -0.1? (a) -4 (b) -4\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1230\/20 - (-1 - -2 - 3). Let y = t + -64. Are y and -2.6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1147*v - 16870. Give h(14).\nAnswer: -812","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**2 + 4. Calculate r(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.03314 - 18.06\nAnswer: -18.09314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i. Let k be 2\/(10\/8 - 1). Is z(k) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 3683.\nAnswer: 1\/3683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36.15 + 36. What is the closest to 1\/3 in 0.4, d, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.006? (a) 0.2 (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 428038 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2, -4, 217, -2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 29020 to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 1\/4, 306\/55, 131?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234 (base 13) to base 3.\nAnswer: 112010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - 0 - (142 + -123).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 2:54 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10407979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + l - 230. Give g(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezz when three letters picked without replacement from ezzezeezzeeqeez?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -528\/7 + 76. Which is the third biggest value? (a) 3 (b) k (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -22068661\nAnswer: -22068662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 99*x + 17. List the prime factors of t(4).\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 19*u - 27746. Calculate t(160).\nAnswer: 894","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 14 + -7 + 10 + -78 + -4 + 3\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 123 = -5. Let j = -23 + d. Suppose 0 = -2*k - 3*r - 13, k + 2*r + 8 + 1 = 0. What is the lowest common multiple of j and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59\/434 - 2\/31. Suppose -5*a + 3*u + 17 = 0, -u - 3 = a - 0*u. Which is smaller: a or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 299, 795, 1693, 3191, 5487, 8779?\nAnswer: 13265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 2\/17 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 27360084.\nAnswer: 27360084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 17, -80, -1?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5254846, 5254844, 5254842, 5254840, 5254838, 5254836?\n\"Answer: -2*j + 5254848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b1 - -139d?\nAnswer: 12cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32.25 - 32.35. Let i = 9.874 + -0.174. Let v = -10 + i. Put y, v, -2\/23, -3 in decreasing order.\nAnswer: -2\/23, y, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**4 + 5*u + 0*u**2 + 4 + 5\/3*u**3. Let i(j) = -5*j**3 - 6*j**2 - 6. Give 5*i(c) + 6*l(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17850\/(-510)*1047\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*d**5 + d**4 - 1544*d**3 + 264*d**2 + 233*d wrt d.\nAnswer: -1200*d**2 + 24*d - 9264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7242 and 102?\nAnswer: 7242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3.0791*-1441\nAnswer: 4436.9831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*k**3 - 82565983800*k + 82565983800*k.\nAnswer: 29*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 396081 and 21861.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*o**3 + 53*o - 6*o + 92*o - o**5 - 4*o**5 - 3*o**5 wrt o.\nAnswer: -160*o**3 + 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/(-5)*7*(-150)\/(-675) - 16\/(-36).\nAnswer: -74\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 16*k**2 + 130*k + 66. Let z be r(-11). Is 1903 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8773 (base 11) to base 5.\nAnswer: -332300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (62 - 67 + 80)*((-4*a + a + a)*(-1 - 2 + 0) + a + 3 - 3)*(2*a - 2 + 2) - 10 + 10 - 13*a**2 to p*a**2 + o + j*a and give p.\nAnswer: 1037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142.4084 weeks to minutes.\nAnswer: 1435476.672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = 18*g + 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (1 + 7 - 1) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x - 48. Suppose -34 = 2*c - 2*i, -3*c + i - 66 = 3*i. Let v be z(c). Let p = v - -36. Solve 2 + p = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 - 2. Let u be g(13). Calculate the greatest common factor of u and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q**3 + 15*q**2 + 6*q + 5. Let z(s) = -s**3 + 3*s**2 + s + 1. Let g(p) = d(p) - 5*z(p). Let r = -5 - -3. Determine g(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(44) - (sqrt(44) - sqrt(528)\/(sqrt(24)\/sqrt(2)))**2).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -22. Suppose -2 = 2*r - c. What is the third smallest value in r, 2\/3, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*y - 60*y - 2*y - 11*y to z*y + l and give z.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 1306 = 2*f + 2*y, f - 650 = 5*y. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.58? (a) 0.1 (b) 4\/9 (c) -9.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(4\/(-66455)))\/((-148)\/148) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*o + 13*o + 4*j + 20, o + j = -5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/7 + (-234)\/42. Let u be ((-60)\/50)\/(l\/20). Suppose 3*z + 2*a - 26 = 7*z, 0 = -u*z + a - 23. Which is greater: -3 or z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10459.1 + -10509.653. What is s rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (8 - (-45 + 19 + 121 + 1 + -14))\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-218571)\/(-1968) + -111)\/(2\/(-72))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80175 - -134444. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-26)\/z**(-2\/13) assuming z is positive.\nAnswer: z**(-336\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, 3, 7 in increasing order.\nAnswer: -62, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3947570 divided by 187?\nAnswer: 21110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2098378?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-18) - (-4)\/18. Suppose 5*h + 10 = -s*h. Let r(p) = p**2 + 2*p + 3. Calculate r(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -0.047\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -11*l**4 - 3. Let z be (81\/(-6))\/(-3)*(-28)\/6. Let c(u) = -u**4. Let o(q) = z*c(q) + 3*n(q). What is the first derivative of o(t) wrt t?\nAnswer: -48*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 5*l - 31, 6*c + 2*l - 37 = -7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3921 + -1a05b?\nAnswer: -1d97c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 226\/5 - 16026\/355. Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 526879\/80 + -6586. Put 5, 0.3, n in decreasing order.\nAnswer: 5, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -91.14524.\nAnswer: 455.7262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (1 + sqrt(99))) + 5 + 4)**2*-6 + 1.\nAnswer: -383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 14 = 4. Let u(t) = 5*t**2 + 2. Let p be u(i). Suppose 2*w - p = -0*w. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lznmnilnlznzml. Give prob of picking 1 i and 3 n.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214883.274 - -15.\nAnswer: -214868.274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 5*a + 14*x = 2*a - 94, 5*x - 56 = 4*a for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -293*s + 284*s - 5967. What is the common denominator of -39\/10 and 10\/(-25) + (s\/(-110) - 6)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/26079350 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + j - 6 = 3, -4*r + 1 = 5*j. Suppose 2*u + 11 = 5*c, r*u - 2*c + 0*c - 2 = 0. Let w be (1 + 1 + -1)*u. Solve 3 = k + w*f, f + 15 = 5*k - f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88 (base 11) to base 13.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 - 2*z**3 + z**3 + (9*z - 9*z - 7*z**3)*(-3 + 2 - 6).\nAnswer: 48*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*sqrt(125).\nAnswer: -5 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2584142465 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -24 - 20. Let z(v) = -v**3 + 11*v**2 - v + 19. What is the remainder when 52 is divided by z(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 292, 288, 284?\n\"Answer: -4*r + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125 - 75. Let j = y - 26. Suppose j*k - 20*k - 16 = 0. Solve 0 = b + 7 - 4, -4*s + k*b = -24 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-12) + 176548\/16 - 1. Let u = j + -5286. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -67, 1, -2, 5.\nAnswer: -67, -2, 1, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -1, -5, 2 in decreasing order.\nAnswer: 2, -1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756) - -1*sqrt(756)*-3)\/(-1*sqrt(972) - sqrt(12)).\nAnswer: 3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-135) - 31\/(-18)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fvfhj. What is prob of picking 3 h and 1 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 1)*-4*1.\nAnswer: -32*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - (3 + 21 + (0 - (14 + 1))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -125*f + 32*f - 51 + 128*f + 61*f as z + y*f and give y.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2456, -2\/9, 3199 in decreasing order.\nAnswer: 3199, 2456, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2068 is divided by 290.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -196427746391\/972920850 - -2395371\/11975. Let p = c - -1\/3693. Find the common denominator of p and 54\/(-16)*4\/5.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -0*y - 2*y - 47, y + 46 = 5*q. Let h be q\/12 - 38\/8. Let v = 24 - 122\/5. What is the nearest to 0 in h, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1836383355 divided by 4.\nAnswer: 1836383355\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191172 divided by 364.\nAnswer: 47793\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 610, -702, -2880, -5918, -9810, -14550, -20132?\nAnswer: -26550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f + 1. Let n(o) = -10676*o. Determine n(j(p)).\nAnswer: 32028*p - 10676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 7. Find the second derivative of -7*t + 2*t**g + 2*t + 6*t wrt t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/11 (b) -0.5 (c) -2.35554 (d) -112 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1343623 less than 29.8216?\nAnswer: 1343652.8216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9796 divide 862194940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66387913 by -1.\nAnswer: 66387913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 337454008 and 8?\nAnswer: 337454008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiliilliiii. What is prob of sequence ii?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 159*w - 1840. Let n be p(12). Which is smaller: 49 or n?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uldouooilo. What is prob of picking 1 u and 1 i?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-two fifths of a gram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 807 + 30*u**2 + 33*u**2 - 104*u**2 + 968 + 37*u**2.\nAnswer: -4*u**2 + 1775","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 3*t + 2. What is u(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -217\/33, 23\/6 in descending order.\nAnswer: 23\/6, -4, -217\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p**3 + 0*p**2 - 5*p**2 + 7*p**2 - 4*p**2 in the form u*p**2 + g*p**3 + f + c*p and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35*(-40)\/(-5600)*380?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1280))\/((-3*sqrt(48))\/sqrt(12)) - (sqrt(35)\/sqrt(7) + -2 - (sqrt(80) + sqrt(5))*-2)*-1)**2.\nAnswer: -100*sqrt(5)\/3 + 3161\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8010\/(-178))\/((-15)\/125*-5)*-1.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34540 and 6.\nAnswer: 103620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 285081\/21 + 2 + 30\/(-105) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-27)\/(-36) + (-5)\/(-4). Let u(a) = 2*a**2 + 2. Let m be u(c). Solve 4*b = -10 - m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a - 93 = -38 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1\/3, -1, -4, 0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 630*i = 627*i + 15. What is the nearest to i in 0.11, 3, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*p + 3106925, -293*h + 292*h + 3*p = -621385. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1173 and 408?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 156, 158, 160, 162?\n\"Answer: 2*i + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, -443, 11 in increasing order.\nAnswer: -443, -2\/21, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6 = z, 2*z + 4*j - 62 = -3*z. Suppose -4*m = q - z, -2*q = 2*m - 7 - 15. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21934?\nAnswer: 2, 11, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9\/7801 - -39068\/54607. Factor -4\/7*x**3 - 2\/7*x - i*x**2 + 0 - 1\/7*x**4.\nAnswer: -x*(x + 1)**2*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1016379178?\nAnswer: 2, 113, 1699, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.49958.\nAnswer: 0.49958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/12*-6*-2)\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/5633143 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h = -110 - 70 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-480)*-4)\/(-1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, z: 4, t: 2, d: 3, s: 1}. Give prob of sequence dz.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 - z**2 - 1. Let b(g) = 26*g**3 + g + 2. Calculate b(h) + 2*y(h).\nAnswer: 22*h**3 - 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2264760, 2264759, 2264758, 2264757?\nAnswer: 2264756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/1*8\/20.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/2 - (52 - 71)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 159\/10*u**5 - 31\/10*u**6 + 16*u**3 + 0*u**2 + 3\/14*u**7 + 14*u - 32*u**4 + 0. Solve k(p) = 0 for p.\nAnswer: 0, 1\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1\/4, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2221102 (base 3) to base 8.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21036326*i**2 - 21036316*i**2 - 29*i**3 + 42072634*i**2.\nAnswer: -29*i**3 - 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*x - 2760 = 45*x. Which is bigger: x or -1381?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584131 is divided by 1713.\nAnswer: 1711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 - (16 - (44 - 16))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102.4 + 37.5. Let j = 63.9 + f. Let y = -5 + 8. Which is the nearest to j? (a) y (b) -1\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 43596, 43586, 43576, 43572, 43580?\n\"Answer: r**3 - 6*r**2 + r + 43600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 0.3?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 2*d**2 - 1. Let o(q) = -10*q**3 + 17*q**2 + 4*q - 63. What is o(z) - 8*x(z)?\nAnswer: -2*z**3 + z**2 + 4*z - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 151.6 from 23.\nAnswer: -128.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5512 - 3348. Let w = a - -228. Let j = w + -1253. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4 - 4 + 2*x. Let h(j) = 2*j**2 + 10*j**2 + j**2. Give i(h(o)).\nAnswer: 26*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34136 - -388.\nAnswer: 34524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2360 or -2365?\nAnswer: -2360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 296 = i - 966, -5*n + 1980 = 3*i. What is i rounded to the nearest ten?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 1238788?\nAnswer: 4955152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 5*c**2 - 2. Let d(h) = h**2 + 4*h - 4. Let z be d(-4). What are the prime factors of l(z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.1217582 kilometers?\nAnswer: 121758.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k - 4. Let t(u) = -6*u + 52. Let h be t(8). Determine d(h).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 61, 211, 493, 937, 1573, 2431, 3541, 4933?\n\"Answer: 5*x**3 + 36*x**2 + 7*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169824?\nAnswer: 2, 3, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 17\/4 + 24\/(-96)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 52434.7 millilitres?\nAnswer: 52.4347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -20. What is the biggest value in 4, t, -16?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 247702.9 - 247711.900013. Let l = -9 - u. What is l rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1906, 3789, 5666, 7537, 9402, 11261?\n\"Answer: -3*f**2 + 1892*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 25, 0 = 2*j - 7*f + 3*f + 12. Suppose -2*u + 34 + 2 = 0. Let t = u - j. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8540922 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 - 3*o + 2. Suppose 0*f = f + 10. Let g(t) be the first derivative of -t**2\/2 - 8*t - 23. Let d be g(f). Give c(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -18, -52701 in decreasing order.\nAnswer: 4, 1, -18, -52701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49495759 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 378.871 decades to months.\nAnswer: 45464.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6 - 15\/9. Let d be 0\/(-1)*1\/t. Let i = -1 + 1. Is d at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3*m - 71, -4*m = r + 3*r + 172. Let s be (-15)\/33*(-4)\/r*4. Sort 2\/15, 5\/3, -0.4, s in decreasing order.\nAnswer: 5\/3, 2\/15, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 43034420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 12*r - 10. Let a be o(-14). Let x be (2\/(-6))\/((-1)\/a). Factor -4\/3 - 8\/3*w**2 + x*w.\nAnswer: -2*(w - 2)*(4*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 61*m - 666. Calculate l(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19387 is divided by 746?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5926 by -6.\nAnswer: -2963\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15\/1478 + 32229\/8129. Find the common denominator of -99\/16 and o.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*y - 2*y**5 - 4*y**5 + 19*y + 12*y**2 - 6*y**5 - 4*y**2 wrt y.\nAnswer: -240*y**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121559735?\nAnswer: 5, 11, 29, 76213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/2 + (-175)\/150. Which is the nearest to -4? (a) z (b) 0 (c) -9 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 5*g**2 - 2. Let v be m(4). Suppose v = d - 31. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 11827\nAnswer: 2365.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783788 is divided by 289.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-240)*12*8\/18.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3, 0.1, -0.1, 1000 in descending order.\nAnswer: 1000, 3, 0.1, -0.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**4 + 7556*x**3 - 121288*x**2 + 455280*x = 0.\nAnswer: -3794, 0, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**5\/60 + 5*f**4\/12 - f**3\/2 + 2*f**2 + f - 29. Let g(t) = 3*t**2 + 21*t - 7. Give -9*b(r) + 4*g(r).\nAnswer: 3*r**2 - 6*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**4\/7 + 444*n**3\/7 + 12541*n**2\/7 + 12210*n\/7 + 3025\/7 = 0.\nAnswer: -55, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b**3\/6 - 11*b**2\/2 + 3*b + 6. Let i(w) be the first derivative of g(w). Suppose l + 4*l - 25 = 0. Determine i(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -12*k - 2. Let p(q) = 6*q - 21 - 17 + 38. Calculate b(p(t)).\nAnswer: -72*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -1\/3, -2\/3, 31179, 0, 1, -1\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, i: 1, h: 2, p: 3, g: 6, e: 4}. Give prob of picking 1 e, 1 i, and 2 p.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*i = 94832, 5*j - 28*i - 118543 = -32*i. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -13*q**6\/6 - 5*q**3 - 5. Find the third derivative of j(p) wrt p.\nAnswer: -780*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-99)\/(-21))\/(7298\/(-574) - (1 + -14)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1372448.\nAnswer: 2, 7, 11, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 985.5 + -986. What is the nearest to 2\/3 in n, 4, 12?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 9*j = 85 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1799*k - 1307*k = 1256*k + 85568 for k.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3749.996t to kilograms.\nAnswer: 3749996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from jaffajffbabeajujb?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + -1201220?\nAnswer: -1201120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 362\/5 + -72. Let c = 7 - 7.06. Let n = -0.36 - c. What is the closest to n in 0.3, 3\/5, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11588.682 rounded to the nearest 100?\nAnswer: 11600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqjj. What is prob of sequence qj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.4 - 1.39. What is the third smallest value in 5\/3, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7828933*j**4 + j**2 + 361*j + 7554 wrt j.\nAnswer: 187894392*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 8:41 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -2\/39119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-12))\/(1*(-8)\/(-16)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 + n**2 + 3*n - 1. Let s be 4\/(-28) + 30\/14. Let j(x) = -x**s - 30 + 3*x**3 + 31 - x - 4*x. Let b = -12 - -17. What is b*g(m) + 3*j(m)?\nAnswer: -m**3 + 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*a**4 + 43380*a**3 + 335449*a**2 + 6.\nAnswer: -120*a + 260280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9308 is divided by 186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.6457987 (b) 5 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -9\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1890)\/27*(-8)\/(-10)*-1. Suppose 18*a - 22*a = -u. Calculate the greatest common factor of 280 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 plus -19482?\nAnswer: -19082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -97056988 plus -700?\nAnswer: -97057688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 4*r**2 - 1. Let f(w) = -w**3 + 5*w**2 + 2. Let x be f(5). Let s(u) = 2 - 3 - 3*u - x + 2. Let y be s(1). Determine a(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1098\/427*28\/3. Solve -2*n - d = -10*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 223263590.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/12)\/(18\/144).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 - 0.25. Let r = -0.08 - -6.08. Let n = r + -1. What is the closest to -1\/4 in p, n, -1\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16849\/1430 + 69\/143. Suppose 0 = -15*w + 522 + 48. What is the common denominator of i and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 1:00 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 8*f - 6. Let l be a(-4). What is l rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*11\/8)\/(4358970\/17160 - 254)?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 6. Let y be h(-8). Let a be 240\/y + (1 - 1). Suppose z - 4*z = -a. Calculate the greatest common factor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 12:36 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 11. Let q(a) = -1962*a + 6139. Let l(y) = -q(y) + 2*x(y). Differentiate l(m) wrt m.\nAnswer: 1960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*v + 3*r + 1, -5*v + 4*r + 4 = 0. Let c = v + 14. Suppose -5*u + c = -3*u. Calculate the remainder when u is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/27, 1\/4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -136637 and -88.\nAnswer: 12024056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v**2 + 4*v + 1. Let w(p) = 17*p**2 - 13*p - 2. Let r(s) = -2*w(s) - 7*y(s). Calculate the remainder when r(-2) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s*s**(-7))\/s)\/(s*((s\/(((s\/(s**(3\/13)*s))\/s)\/s*s))\/s)\/s))**(-32\/7)\/(s**5*s*s**(-4)*s**(-2\/29)*s*((s*s**(1\/4))\/s*s)\/s*s) assuming s is positive.\nAnswer: s**(256537\/10556)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(429)\/(sqrt(99)*-5))\/(sqrt(300) + sqrt(300)*-2*6).\nAnswer: sqrt(13)\/1650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/9 in -3\/16, 10, 3, 4, -2, 145?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, p: 6, f: 2, k: 2, q: 3, c: 1}. What is prob of picking 1 k, 1 p, and 1 l?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -15 + 17 + 5 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 533675.2ml?\nAnswer: 533.6752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38103 - 4303?\nAnswer: 33a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111001001 - -101010100?\nAnswer: 11100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + 50. Does 22 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**17*(k\/(k*k\/(k\/k**(2\/11)*k)*k))\/k*k assuming k is positive.\nAnswer: k**(185\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -186.05 + 181. Let o = 0.05 + b. What is the closest to 0.1 in 1, -1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10155 (base 8) in base 10?\nAnswer: 4205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/7496859?\nAnswer: 2\/7496859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4) + (-292)\/(-16). Let r = s + 10. Calculate the remainder when 83 is divided by r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*t - 185. Let f = t + -41. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/6*-10*1. Let w(k) be the third derivative of -k**5\/60 + k**4\/8 - k**3 + 6*k**2. Give w(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 2*o - 130, 4*o = -4*g - g + 246. Does 23 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v - 9*v = -30 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -749596*y + 10521274?\nAnswer: -749596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 3475440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42366 = 113*z - 26790. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 120118*w**2 + 6*w + 1. Let k be j(7). Suppose 5*h = k + 4614175. What is h rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, q: 2, n: 2, g: 1, t: 2}. Give prob of sequence nnqj.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87075324 divided by -36.\nAnswer: 2418759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 a when three letters picked without replacement from waunsnnuunun?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -269 - -437. Let t = 157 - h. Which is bigger: t or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223918?\nAnswer: 2, 111959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c - 10. Let h be k(-6). Let q(y) = 7 + 2*y**2 + 2 + 13380*y - 13396*y. Calculate the remainder when 61 is divided by q(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -238, -465, -692, -919, -1146?\nAnswer: -1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/7700 + 12319\/7700. Factor -u + 2\/5*s**2 + 0*s.\nAnswer: 2*(s - 2)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h + 2. Let d(b) = -b**3 + 6*b**2 - 6*b + 4. Let n be d(5). Let u be n\/(3\/12*-1). What is the remainder when z(u) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007328 to 5 dps.\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*(h\/(h\/h**36))\/h)\/h)\/(h*(h\/h**(8\/9))\/h*h*h*h))\/(h**(1\/34))**37)**19 assuming h is positive.\nAnswer: h**(179075\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/4644045 and 151\/72.\nAnswer: 37152360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -19, -0.1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.42 + 0.42. Is -2\/7 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/18 + 155\/9. Let z = -17 + d. Let c = 2 - z. Solve 4*p = -4*y + 4, -3*y = p - c*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23224*x + 5617 - 2862 - 2755 in the form u + k*x and give k.\nAnswer: 23224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11047 + -11020. Calculate the remainder when r is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*((-5*1*sqrt(648))**2 + ((sqrt(128)*1 + sqrt(128))*5)**2).\nAnswer: -116000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/338595 and 64\/67719?\nAnswer: 338595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**5 - 2*l**4 - 2*l**3 + 4*l**2 + l - 2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - 25\/(-5)) + 71.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) -3\/2 (c) 96 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*p - 29, -7 = -3*p + m + 7. Sort 0, p, -4, -8 in descending order.\nAnswer: p, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -1, -27, 13?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -13 - -7) + 3 - (-1 + 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 55\/4 of a micrometer?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f**2 + 7*f + 37. Let w(d) = -5*d**2 + 8*d + 38. Let n(s) = -2*m(s) + 3*w(s). Let n(i) = 0. What is i?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - (3 + 3 + -6). Suppose -12*c - m*c + 51 = 0. Suppose b - 3 = 2*d - 0, d = -c. Let i(n) = 2*n**2 - 5*n - 4. Determine i(b).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13047701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*p - 49*p + 31800. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 + -5)\/(1 + 3). Let l be (1\/(-3))\/((-1)\/9). Find the second derivative of -3*g**l + 5*g + 0*g**3 + x*g - g wrt g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 7*z - 25. Suppose x - 9 = 3*x + d, x = -3*d + z. Put x, 3, -0.4 in increasing order.\nAnswer: x, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/3 + (-7)\/(-3). Let l = 0.74 + -0.34. Let f = l - 5.4. Which is the closest to w? (a) 5 (b) -2\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*h**3*s**3 + h**3*s + 130*h**2*s**3 + 1441*h - 4*s**3 - 2*s**2 wrt s.\nAnswer: 48*h**3 + 780*h**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7095, -14206, -21313, -28416, -35515?\n\"Answer: 2*i**2 - 7117*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 145585 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 9) to base 12.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**11*r\/r**(-7))\/(r**(2\/3))**37 assuming r is positive.\nAnswer: r**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 14*n - 9*n + 33 = 0, -4*u + 4*n = -12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + u + 8 + 7 = 0, 0 = -2*u - 6. Let a = 174575 + -123184. Suppose r = -2*i - 2*r + a, -i = l*r - 25688. What is i rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*v - 12 = 0. Suppose -38 = -h - y, 122 = 6*h - v*h + y. Is 21 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 110*u**2 - 1221*u + 639. Calculate f(12).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 420, -2, 1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-25\/4)\/(l\/(l\/(l*l*l*(l\/(l**(-3\/14)*l))\/l*l*l*l))) assuming l is positive.\nAnswer: l**(-321\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s - 24*s - 16*s + (-5*s + s + 5*s)*(3 + 0 - 6) + (2*s - 2*s - 2*s)*(-1 + 2 - 3) + 0 + s + 0.\nAnswer: -38*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 131\/3*v**3 + v + 2 + 0*v**2. Let p be y(-1). Calculate the highest common divisor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 3)*(5*j**3 + 8*j**2 - 8*j**2)*(-5*j + 8 - 8) to h*j**2 + a + b*j + c*j**4 + s*j**3 and give c.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 1)*-11 + 5. Suppose 4*b - 8 = 0, 5*q + 2 + x = -b. Calculate the remainder when 70 is divided by q - (3 + -41) - -2.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 - 104. Suppose -267 = -c - c - y*z, -2*c - 2*z = -262. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -56, -129, -206, -287, -372?\n\"Answer: -2*o**2 - 67*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -101084355?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5468629004 to the nearest integer?\nAnswer: 1762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 11*t - 12*t = 87, -t + 3 = 0. Solve 71*r = 56*r + l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 45*x + 357 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*r - 19 - 2*r + 16 to the form w + m*r and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1806*n + 1818*n = -384 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*(-48)\/14*(108\/(-1656))\/(882\/47334).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68\/1*((-21)\/(-6))\/7 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 5*o + x + 55, -o - 2 = -x. Solve o*i = -15 + 11 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 u, and 1 t when four letters picked without replacement from {j: 1, e: 2, u: 2, s: 1, p: 2, t: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -232161\nAnswer: 5\/232161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 29a (base 12) to base 16\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1410)\/35*14889\/(-12762)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.4, 932, 2\/5, 1\/2, 3, -1\/7?\nAnswer: 932","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 591 + -1930d?\nAnswer: -18c6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.4 (c) 48.19 (d) -1.1126\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/6)\/(4\/(-48)). Suppose -64 = 2*u - g*u. Suppose 3*i - 2*o = 203, 5*o + 104 = i + u. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2420531726\nAnswer: 2420531725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-12 + 31) - (43 - 32).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-2\/7)\/d)\/d*d)**(7\/6))**(-12) assuming d is positive.\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23305, -23348, -23391, -23434, -23477?\n\"Answer: -43*k - 23262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16996 + 16996 + 3*a**2 - 7*a**3.\nAnswer: -7*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (2 - 1) + 9 - (-3 - 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + t. Let n be m(-2). Let i be 1*3 + (-12)\/(-4). Suppose i*o = 2*o + 32. Calculate the greatest common factor of n and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/732 and -23\/18.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37137218.\nAnswer: 2, 173, 181, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 0.1, -4\/5, 7088?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 228a2 - -212?\nAnswer: 22ab4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9\/233 - -269\/932. Let n = -0.15 - -1.15. Which is the second biggest value? (a) -12 (b) n (c) 0 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -55, -53, -51, -49?\n\"Answer: 2*m - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -83, -175, -267?\n\"Answer: -92*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 25660.1 + 0.08362419\nAnswer: 25660.18362419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401997?\nAnswer: 3, 133999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -19, -6, -2, -10 in ascending order.\nAnswer: -19, -10, -6, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -445\/2? (a) 0 (b) 71 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -50*d + 646. List the prime factors of a(9).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0904 to two decimal places.\nAnswer: -1.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95148270.78999979 - -95148330.79. Let f = 60 - a. Round f to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.16 + 0.14. Let j = -0.1 + h. Let d = 1 - 0.6. Put j, d, -4 in ascending order.\nAnswer: -4, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -124*h + 158*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1205\/9 - -134. Let p be ((-4 - -7) + 2 + -2)\/3. Which is smaller: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7986000 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9612 and 5308227.\nAnswer: 2403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c + 1398461 = 53*c + 1395857 for c.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**4 - 7636 + 2*q**2 - q**3 + 3*q**4 + q**4 + 7644 + q**4 + 5*q as b*q**3 + g*q + u + r*q**2 + x*q**4 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 192 + -174. Suppose -2*d - 13 - 5 = -5*j, -j + 4*d = -s. Let z(u) = -u - 1. Let m be z(-1). Solve j*q + m = -4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + sqrt(288))*4 + sqrt(288) + 3 + (1*sqrt(288)*-1 + 4)**2 + 4.\nAnswer: -36*sqrt(2) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -3, -45 in descending order.\nAnswer: 14, -3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7210770604 - -7210770541.99999974. Let l = 62 + v. Round l to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 9 = g + 3*k, -g - 4*k - 10 = 0. Suppose -d = 5*s - 29, -4*d - s - 11 + 32 = 0. What is the smallest common multiple of (-6 - g)\/(2*1) + 1 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 244*h + 220*h - 928 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9886.\nAnswer: 2, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 16*n**2 - 59*n + 2. What is the remainder when 614 is divided by q(8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1640519778?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 9 = 24. Suppose -g = 3*y - 4*y. Solve 0 = -j - j - 3*k + 5, -y*j - 3*k = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 304.59 and 2346496?\nAnswer: 2346191.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/21)\/i**5)\/(i**(2\/7))**(-22) assuming i is positive.\nAnswer: i**(25\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.523, -2\/11.\nAnswer: -2\/11, 0.523, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1071 - 630. What are the prime factors of -1*-1*4*c\/28?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/577647, 0, -134 in decreasing order.\nAnswer: 0, -1\/577647, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 118, 112, 104, 94?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 1 - 3*r - 12 - 21. Let s be d(-11). Let f be s*(2 - (-11)\/1). Solve -4*l - 12 = 4*y, -f = -4*l + 4*y + 15 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 946*u - 952*u + 168 = 0. Calculate the lowest common multiple of u and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10816 + 10811. Which is the closest to 0.462? (a) -3 (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -96.354217 and -5.\nAnswer: -101.354217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 85700333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -13*v + 3. Let t(o) = -1290*o - 1411. Let c(k) = 4*d(k) + t(k). What is the first derivative of c(b) wrt b?\nAnswer: -1342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 5*a + 8. Let c(p) = p + 33. Calculate the least common multiple of x(6) and c(-21).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 8*l**2 - 8*l - 14. Determine n(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -317, -250, -183?\n\"Answer: 67*y - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 10)*(-6*c + 4*c + 43*c) in the form d*c + h and give d.\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 953c - -2?\nAnswer: 9541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -26, 1, 7, -5, 16 in decreasing order.\nAnswer: 16, 7, 1, -5, -15, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 times -46.77\nAnswer: -374.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1477 + -517323\nAnswer: -518800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 24 = 6*p. Suppose p*z - 17 = -1. Solve -3*m = 3*j + 24, 3*j + 3*m = z*j - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 7*m**2 + 24*m + 288. Give v(-7).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17990 - -18007. Solve 0*t + o*t + 85 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 771 and 12.\nAnswer: 3084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 195*-176\nAnswer: -34320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27\/30*(-95)\/(-57). Let j(o) be the second derivative of 2\/3*o**3 + 1\/12*o**4 - u*o**2 + o + 0. Give j(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/8)\/((-228)\/1976)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 10*a - 4. Let k = -70 - -83. Suppose 5*p + k = g - 0*p, -3*g = 2*p - 5. Suppose -19 = -j + g*j - f, -f + 8 = -j. What is q(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c = 20. Let g(n) = n**3 + 6*n**2 - 7*n + 2. Let x be g(-7). Suppose 5*y = x*y + 33. What is the lowest common multiple of y and c?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 9*a**2 - 9*a - 14. Let k be z(10). Which is bigger: k or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6835 - 3149 = 12*p. Suppose a + 1523 = -4*y - 0*a, -5*y + 5*a - 1910 = 0. Let g = y - p. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 868*j + 14754. What is c(-17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631180?\nAnswer: 2, 5, 11, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 494862.\nAnswer: 2, 3, 67, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 + 0\/(10\/5). Let u be -1 + -5 - k - 1. Which is the closest to -2\/9? (a) -2 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*g = 2*x + 100, 155 = 2*x + 5*g. What is the remainder when x is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -472, -481, -512, -577, -688, -857, -1096?\n\"Answer: -2*i**3 + i**2 + 2*i - 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 8. Let p(m) = 2*m**2 + 8. Let n(t) = -2*p(t) - 3*u(t). Let c(b) = b**2 - 7. Calculate -4*c(j) - 3*n(j).\nAnswer: -j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*x - 24*x + 2*x)*(x + 3 - 2*x - 4) as y*x**2 + q*x + a and give y.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (5 - (-3 - (0 + -12))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 149746764031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -419, -1305, -3033, -5885?\nAnswer: -10143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -4 - (5 - (-3 - -10))) + -6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3079 is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 191*s**5 - 8*s**2 - 851*s + 4. Let g(d) = -191*d**5 + 6*d**2 + 850*d - 3. Let z(x) = -4*g(x) - 3*v(x). Find the second derivative of z(l) wrt l.\nAnswer: 3820*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + -1 + (-5 - -21). Suppose 4*m - 38 - c = 0. What is the highest common factor of m and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35959638307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19, 33, 59, 103, 171, 269, 403, 579?\n\"Answer: t**3 + 7*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w = 7 + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -76279810 and -2.\nAnswer: -76279812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1397636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence feey when four letters picked without replacement from ofenmyeoeeeene?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r + 12. What is the units digit of w(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 f when three letters picked without replacement from {d: 1, y: 6, e: 1, f: 11}.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16791\/3828 + (-1968)\/(-451).\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -7*y**2 - y + 2. Let r be q(0). Let f(v) = -28987 - r*v + 28987. Let u(d) = -32*d**2 - d. What is u(f(w))?\nAnswer: -128*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of g**3\/3 - g**2 - 11*g + 12. Let t be q(5). Solve 10 = -5*z + 5*k, t*z = 3*k - 6*k - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6313603 (base 9) to base 4.\nAnswer: 30313332312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23230 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.48 (b) -3 (c) 7642 (d) 3\/5 (e) 4 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -28*n + 227. Let y(o) = 78*o + 866. Let k be y(-11). Let f be r(k). Factor 289\/11*m**4 - 76\/11*m - 646\/11*m**f + 4\/11 + 39*m**2.\nAnswer: (m - 1)**2*(17*m - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -225, -244, -281, -342, -433, -560, -729, -946?\n\"Answer: -s**3 - 3*s**2 - 3*s - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 239 + -95. Is 31 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 167*n - 338. Give a(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 213 - 202. Solve -j - 8 = j + 4*q, -q = 5*j + h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/117 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27894 + -3380. What are the prime factors of j?\nAnswer: 2, 7, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 931 times -5?\nAnswer: -4655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(3\/(-6) - -1). Let f = -177 - -178. What is the nearest to 1 in -3, f, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/10)\/(-3 - (-1)\/(-2)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -4*g + 0 + 0*g**2 + 1\/6*g**3. Determine l(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a9 + 15?\nAnswer: be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/22 (b) -13 (c) 0 (d) -1\/28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 5*g + 18. Let z be f(-4). Suppose z*b + 3*i - 43 = 12*b, -i = 5*b - 127. What is the highest common divisor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 18 = -5*a - 25, 2*d + 2*a = 10. Let w(y) = -4*y**3 + 5*y - 5. Let n be (25\/(-20))\/((-2)\/8). Let b(h) = 4*h**3 - 4*h + 4. What is d*w(u) + n*b(u)?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1485\/(-1782) - 1\/((-12)\/142). Solve -3*d + 5 = -4*b - 26, 4*b + u = -d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/117*9\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)\/u**(4\/9))\/(u**(2\/9)\/(u*u**(2\/19)*u))*(u*u*u*u**(1\/3))**31*(u**(1\/5)\/u)**46 assuming u is positive.\nAnswer: u**(17662\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111011110011001001110 + -1?\nAnswer: -101111011110011001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 10*n**3 - 3*n**2 + 28*n. Let j(q) = q**3 - q**2 - q + 2. What is -j(h) + l(h)?\nAnswer: 9*h**3 - 2*h**2 + 29*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-6) + 1\/(0 - 54\/(-18)). What is a in -8\/5*a**3 + 0*a + 34\/5*a**4 + 9\/5*a**5 + 0*a**2 + f = 0?\nAnswer: -4, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -7. Which is the second biggest value? (a) -1 (b) l (c) -1\/7 (d) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1356755 (base 8) to base 4.\nAnswer: 1131313231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -4. What is the second derivative of t + 2*t**3 + t**3 - 5*t**h + t wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34811\/6 + -5816. Calculate the common denominator of 97\/180 and u.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 2*o - 9, 35*o + 169671*y = 169674*y - 120 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**2\/5 + 3038*q\/5 + 9096\/5 = 0.\nAnswer: -1516, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 2, e: 2}. Give prob of sequence eg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/5)*a**6*a*a*a**7\/a*a*a**(1\/7))\/((a\/(a**0\/a))**(-17)*(a*a\/(a**(2\/15)*a)*a)\/(a**(-1\/2)\/a)) assuming a is positive.\nAnswer: a**(9781\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -22220022100 (base 3) in base 5?\nAnswer: -21101220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 68055.59 centimeters?\nAnswer: 680555.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from ooddmomoedmmm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 57 + -529?\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21290 and -8.\nAnswer: 21282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*c + 18, -4*c - 3*p = 18 + 22. Let r be 2\/c + 80\/35. Let a(f) = -f. Calculate a(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003403 to four dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1 = 2*k - 1, 2*k - 3 = -5*i. Let n = i - -1. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6558)\/17488)\/(6\/3*1)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 197.7244 to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13263887.\nAnswer: 7, 13, 145757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 5*m - 5*m + 2*m + (3*m - m - m)*(2 + 0 + 1).\nAnswer: 5*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 10*p - 3738. Let h = 1894\/5 - p. Which is the nearest to 1\/2? (a) -0.1 (b) 4 (c) h (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4899\/3*(-2074)\/(-47702).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7*(8\/(-7) + 2). Suppose 3*f - 4*o - 275 = 0, -y*f - 4*o + 348 = -2*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 2*s - 4*s)*(4*s - 1 + 1) + 5*s**2 - 4*s**2 + s**2 + (s - s - 3*s**2)*(4 - 4 - 2)*(-2 - 1 + 4).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1372*k**3 + 1484*k + 18074631 wrt k.\nAnswer: -4116*k**2 + 1484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*v + 3*p, -4*p = -4*v + p + 16. Differentiate -3*z - 4*z + 2*z**v + 7*z + 1 with respect to z.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*l**3 + 161*l**3 + 460*l**3.\nAnswer: 483*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 4:00 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 y when four letters picked without replacement from {y: 6, r: 3, v: 4, d: 2}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2061\/11 or -0.3?\nAnswer: -2061\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 36 = -5*l. Suppose -r - s + 35 = 0, -r = -3*r - l*s + 78. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3 + 12 - 6 + 558*n**2 - 554*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (1 - (-4 - (-6 - -1))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 335050075 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -776037 less than -776006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.896 + 0.49. Let v = 959 - 961.164. Let n = b + v. Round n to one dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 42614128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 + (-10)\/5*-4. Solve 0 = 3*v + 3, -i*v + v = 5*f + 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*m - 5. Let l = -47 - -47.1. Let d be 1\/((-5)\/(1 - -4)). Which is the closest to d? (a) 3 (b) m (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3663854 + 38127049.\nAnswer: 34463195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/17 (b) -2 (c) -3 (d) -0.2 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*p + 4*i - 0, 5*p - 21 = -2*i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1.4, -0.5, -2\/9, -6\/5, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 264363 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(1*2\/(-6)). Let l(j) = -49. Let t(y) = -y + 49. Let h(a) = 7*l(a) + 6*t(a). Let d be h(-9). Solve 2*v = -m*v, 5*u + d*v = -10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 + (567 - 544).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -465 and 46.7.\nAnswer: -418.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, x: 2, r: 9}. Give prob of picking 1 o, 2 r, and 1 x.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k - 26*k - 9 = 0. Suppose k = -5*g - 12, -4*g = 2*w - 5399988. Round w to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1274 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 133 - 34 - 33*j**2 - 116*j - 34 - 28.\nAnswer: -33*j**2 - 116*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81*j**3*r*w**2 - 2*j**3*r - 2*j**3*w - j**2*r*w + 2*j**2*w + 59*w**2 wrt j.\nAnswer: 486*r*w**2 - 12*r - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/495 + 0 + 2\/(-15)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-12)*-14)\/(2\/(-4)). Suppose -o*r + 795 = -297. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 + (-2987)\/(-145))*(-180)\/72?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 242\/491?\nAnswer: 242\/491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(40)\/(sqrt(10)*2)) + -6*(sqrt(65) + (2*sqrt(65) + sqrt(65) + sqrt(65) - sqrt(65)))\/sqrt(5))**2.\nAnswer: 6292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15006 + 1?\nAnswer: -15005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27\/4 - 73\/12. Let c be -1 + 2\/(22\/9). What is the nearest to 0 in c, 3, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.311 + 0.011. Which is the second biggest value? (a) -3 (b) -1.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4052860163?\nAnswer: 11, 17, 2621, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 3*n - 37. Let g be f(-5). Is -2 + ((-371)\/g)\/7*-213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(22)\/(-4*sqrt(2) - sqrt(2)) - (sqrt(11) + (-4 + sqrt(22)\/sqrt(2))**2)) + (-1*sqrt(396))\/(sqrt(144)*-2)) + -2.\nAnswer: -137 + 141*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1625572 = 13*l + 42*l - 3*l. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62426178?\nAnswer: 2, 3, 37, 67, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -15) + 0 - (-6 + -1 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 3, -0.03, 23 in descending order.\nAnswer: 23, 3, -0.03, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**5 + 3*h**3 + 3*h**5 + h**3 + (h**5 - 4*h**5 + h**5)*(0 + 3 - 2) - 2*h**5 + 2*h**5 - h**5 - 3*h**5 + h**5 + 0*h**5 - 2*h**5 - 3*h**5 + 3*h**5.\nAnswer: -8*h**5 + 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-6)\/42*-4*5\/(-50)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**2 - 21*v - 32. Let i(n) = 36*n - 5. Let p(j) = 29*j - 4. Let k(d) = -4*i(d) + 5*p(d). What is g(k(a))?\nAnswer: -2*a - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, r: 3, m: 4}. What is prob of sequence mmr?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490034640 to the power of 1\/2, to the nearest integer?\nAnswer: 38601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3110*g**3*k**4 - g**3 + 1171*g**2 - 330*k**4 + 6806 with respect to k.\nAnswer: 12440*g**3*k**3 - 1320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6.5, 4, 0.9, -3, 53?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-9) + (-39)\/(-9). Suppose -g*t = 2*p - 118, -6*t + 3*t = 5*p - 274. Suppose 0 = -0*b + 4*b + 5*w - p, 5*b + w - 40 = 0. Solve 4*j - b = 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1647.33047 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12\/7 + 31\/14. Let v(j) be the first derivative of 3 - 1\/3*j**3 - a*j**4 + 0*j**2 + 0*j. Find the third derivative of v(t) wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/1395 and -47\/1257755?\nAnswer: 350913645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 58\/65 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 10:18 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-35))**(-26\/9) assuming l is positive.\nAnswer: l**(-962\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 times -141?\nAnswer: 169.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*sqrt(77)*1 - sqrt(77) - (sqrt(77) + sqrt(77)*-1*-5))\/(1*(-3*sqrt(539) + sqrt(539) - sqrt(539)) - sqrt(539) - sqrt(539)).\nAnswer: -4 + 3*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(8 + -4) - 21. Let f = -18 - i. Suppose -f*l - 4200000 = 2*l. Round l to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 45*r**2 - 81*r + 559. Is u(42) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 8*t + 9. Let r be b(7). Suppose r*g = -2, -5*g + 18 = -3*j + 5. Let l(h) = h**2 + 4*h - 8. Calculate l(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z**2 - 8*z + 5. Let s(f) = -3*f**2 + 4*f - 3. Give 3*p(a) + 5*s(a).\nAnswer: 3*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/7 and (10 - 3) + 283292\/(-39060) + 16\/56.\nAnswer: 9765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 12 + 1 + 66*o - 2*o**2 - 49*o. Calculate the remainder when 5*(0\/3 + 12) is divided by p(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 45 = -0*h - 51*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 3 + 2)*(-2 - 2 + 5)*(-5 + 3 + 4)*(0*a + 0*a - a) + 5*a - 4*a + 4*a)*(-a + 0*a + 3*a) to the form d*a + s + f*a**2 and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9)\/((j\/((j*j\/j**(1\/9))\/j))\/j))\/(j**(-1\/10)\/j**(-1\/7)) assuming j is positive.\nAnswer: j**(-5137\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*h = 1 - 3, 4*g - 2*h = 14. Let l be (-104)\/((3 - g) + -1). Suppose 4*j - 108 - l = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 4)*(0*l**2 - 2*l**2 + l**2)*(-2*l**2 + 2*l - 2*l) + (0*l**4 + l**4 - 3*l**4)*(1 + 0 - 3).\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15\/16? (a) 77 (b) 0.5 (c) 2.6 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18850 + 2557. What are the prime factors of g?\nAnswer: 21407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 22 = 5*w, -3 = -2*w - 5*j + 16. Suppose 551 = w*g - 359. Suppose 0 = -11*d + 6*d + g. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**3 - 14*j**2 - 134*j - 760. Let b be i(-7). Solve 2*w - b + 517 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 - -14. Let h = j - -38. What is the first derivative of -276*s**h + 276*s**3 + 1 - 14*s**4 wrt s?\nAnswer: -56*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 1. Let q be z(1). Let k = -29 + 36. Let p be -2 + (-1 + k - q). Solve 0 = -4*s - s - 5*g, p*g + 9 = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 20 = 6*v. Find the common denominator of 67\/14 and (-41)\/(-4) + (-1)\/(2\/v).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2316 = 55996*n - 55901*n + 701, -4*n = -j - 73 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 9*g**2 + 11*g + 12. Let t be w(-10). Suppose 2*i + t*i - 8 = 0. Find the third derivative of 0*j**2 + 2*j**5 + 0*j**i + 4*j**2 wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 61. Suppose -s + n = -0. Suppose 7*z - s = 3*z. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide ((-28)\/8 + 3)*-110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171435168 to the power of 1\/3, to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47882772 and 2268.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.87 - 10.006. Let z = k + -0.164. What is z rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/7, -2, -1, -20, 8505\/8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1813878 - -1813961.00126. Let x = d - 83. What is x rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4790 = 1430. Suppose -5*r - 192 + p = 0. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -468573.8200115 + 468574. Let c = 0.18 - k. What is c rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 13 = 4*w - 1, -2*w + 2*i + 10 = 0. Solve -4*m - w - 1 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 1\/(-1))\/(-2). Suppose 12 = 3*x - 5*q - j, 2*x - 3*q = 9. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 u when two letters picked without replacement from {x: 2, w: 2, u: 1, s: 6}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -34 + 2*r - 23*r + 54*r**3 + 14*r**2 - 55*r**3. Let a be d(12). Factor 0 - 2\/13*g**a + 0*g.\nAnswer: -2*g**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.1 (b) 33 (c) -0.1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, -507, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-5)\/((-5)\/(-2))*836\/(-176)\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 11*r**2 - 23*r + 4. What is n(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4537, -9076, -13615?\n\"Answer: -4539*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(3\/5)\/l))**(-3\/20)*((l**(1\/3)*l)\/l)**(13\/5))**(-14\/5) assuming l is positive.\nAnswer: l**(-1379\/750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2 = -3*w - 3, 22 = -w + 3*g. Let h be -2 + (3 - 0) + (-5 - w). Solve -3*q + 27 = h*f, 5*q - 33 - 7 = -4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-11484)\/88)\/((-1)\/2). What is the biggest value in j, -3\/2, 3\/4, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.270727 to one dp.\nAnswer: -16.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -312356 != -312298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -4*y - 5*y**2 - 8\/3*y**3 - 6 - 1\/2*y**4. Solve r(u) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/15 + -3 + 6\/15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 7*u**2 + 2*u - 3)*(-2 + 5*u + 2).\nAnswer: -35*u**3 + 10*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 4*d - 36 = 0, 2*a + 5*d + 151 = 134 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 bigger than 8796\/229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2013, 3277, 4541?\n\"Answer: 1264*o + 749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1441*r - 384 + 385*r + 9849*r**3 + 5145*r**4 - 3087*r**3 + 1512*r**2.\nAnswer: 3*(5*r - 2)*(7*r + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41283 is divided by 18521?\nAnswer: 4241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1781\/2 + 868. Let j = -23 - i. Do 0 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 12 = -3*d. Let a be ((d\/(-21))\/2)\/((-5)\/30). Suppose -4 = -3*y - 13. What is the nearest to y in a, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*z + 24 = 0, -3*l - 3*z - 28 = -4*z. Let u be 2\/5 + l\/(-20). Let i be ((-1)\/(-6))\/(35\/28). What is the biggest value in i, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8392923.1 rounded to the nearest 100000?\nAnswer: 8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007075 rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3174.194 millennia?\nAnswer: 317419.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3 - 5, 82 = 2*y + 5*n. Suppose -2*j = -y + 3. What is the highest common divisor of j and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/12*110\/5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15872383, -15872369, -15872339, -15872287, -15872207, -15872093, -15871939, -15871739?\n\"Answer: v**3 + 2*v**2 + v - 15872387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 + 2*r**3 - 5*r**3)*(-2*r + 3*r - 5*r).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*m**3 - 43*m**3 + 624*m**2 + 107*m**3.\nAnswer: 15*m**3 + 624*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7815687ml?\nAnswer: 0.0007815687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 296.466g?\nAnswer: 296466000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 44491967698.\nAnswer: 44491967695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2127 + 2199. What is the least common multiple of o and 128?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 117\/11 (b) -0.15 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 3895.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5343 + -0.4.\nAnswer: -5343.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.04, -0.2, -0.23, -9 in ascending order.\nAnswer: -9, -4, -0.23, -0.2, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 4:37 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**3 + 112*p**2 + 7*p - 107. Give b(28).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8330 by 10.\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6 - 2*h**2 + 2*h**2 + 5*h + 7*h**2 - 6*h**2. Let n be z(-8). Let m = 22 - n. Solve 2*w = -m*b - 1 - 11, -w - 2 = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 3.3. Let h = -5.7 - v. Let w = 65\/41 - 797\/451. Which is the smallest value? (a) w (b) 3 (c) h (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1061*o + 1056*o + 20 = -2*c, 0 = c - o - 2. Solve -5*g + 0*y + y = 9, 3*g = -4*y - c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**33\/(f\/f**(-11\/2)) assuming f is positive.\nAnswer: f**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 132452669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -426 + -3?\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/4)\/((-2)\/8). Let g(w) = -9*w**2 - 3*w + 5. Let x(q) be the third derivative of -q**5\/12 - q**4\/24 + q**3\/2 - 467*q**2. Give o*x(y) + 3*g(y).\nAnswer: -2*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 + 10*r - 87. What is l(6)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 - -122 - -81 - 86.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t**(2\/21)\/t))\/(t**(-8)*t))\/(t*t\/t**(-2\/5)*t*t)**(-27)*t\/t**4*((t\/((t\/((t*t**4)\/t))\/t*t))\/t)\/t*t**(-4\/7)*t**(-1\/6) assuming t is positive.\nAnswer: t**(3809\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -7*a - 16 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(24)*1)\/sqrt(8) + -2))**2 - (sqrt(36)\/sqrt(27) + 1).\nAnswer: -14*sqrt(3)\/3 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 6. Determine p(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = 4*m - 4*d, -6*m + m = -d + 143. Let z be (-6)\/4*16\/6. What is the tens digit of (54\/z)\/(21\/m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q - 2*q - 2*q**2 + 4*q + q**2 + 9. Calculate n(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 190*n + 886 + 254 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 0*s**4 - 4\/5*s**5 + 0*s**2 - 4*s + 8\/3*s**3 - 35. Factor u(d).\nAnswer: -4*(d - 1)**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75346*y + 186 = -2*o + 75385*y, 5*o + y + 71 = 0 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or 77\/2?\nAnswer: 77\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*d - 40 = 0, -5*z - d + 20 = -14. Let x(h) be the first derivative of h**3\/3 - 5*h**2\/2 - 9*h - 116. What is x(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.8. Let t = i + -0.9. Which is the second smallest value? (a) -4 (b) -0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1783 divided by -8.\nAnswer: 1783\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -142 - -150. Let i = 4 - 4. Solve 3*n = 4*x - i*x - 11, -n = x - h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - ((-5704)\/6)\/2*(-204)\/(-136). Calculate the greatest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 6354\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**9\/3024 + d**5\/30 + 2*d**3\/3 - 3*d. Let j(q) be the second derivative of u(q). Find the second derivative of j(c) wrt c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1386932*g**4 + 5*g**3 + 2*g - 946501477 wrt g.\nAnswer: -5547728*g**3 + 15*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12670187 is divided by 131.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/11)\/(10\/(-55))*22.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-270)\/702)\/(1125\/(-99450))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-10 - -5)) + 0 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 620242 and 196?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -10)\/(-11 + (-782)\/51 + 14)\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w + 2*w - w)*(69 + 16 - 37) to the form z + p*w and give p.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26845?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/71569?\nAnswer: -4\/71569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, b: 2, m: 1, a: 1, q: 2, k: 7}. Give prob of picking 2 q.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 2 - (4 + (-3 - 1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/(-60)*4\/14\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 3*w**2 - 3*w - 2. Let a be h(-3). Let c = -1634 + 1647. Which is greater: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 121\/100 - 1\/100. Suppose -5*n - 7 = 4*h - 37, -n - 18 = -4*h. Suppose d - v = -n, -2*d - 4*v = -0*v - 14. Which is bigger: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -107220*j + 2. Let m(h) = -8*h. Calculate i(m(r)).\nAnswer: 857760*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -20156 (base 8) in base 16?\nAnswer: -206e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1019703861?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 3. Let j(a) = -a**2 + 104*a - 64. Let y(t) = t**2 - 69*t + 43. Let d(k) = -5*j(k) - 7*y(k). Let r be d(-19). Determine n(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*(-5 + sqrt(605) + sqrt(605) + -1)*1)**2.\nAnswer: -44208 + 4752*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16.858 and 3.\nAnswer: 50.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -29*a - 342. Let j be s(-13). What is the highest common factor of 1190 and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 92517? (a) -0.3 (b) -18 (c) -1 (d) -0.5 (e) -5 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2193.\nAnswer: 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 455 - 320. What is the least common multiple of 105 and a?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + -21 + (-23 - -85) + -17 + -3?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzmpzpmmzmpzpppmpppp. Give prob of picking 1 z and 2 p.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 43*d + 716. Calculate the remainder when w(-12) is divided by 86.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5 = 0, 0*t = 3*t - 2*c - 31574. Let n(h) = h + t - 10528. Let o(a) = -12*a**2. Calculate n(o(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -25*m**6\/2 - m**3\/3 + 35*m**2\/2 + 74. Find the third derivative of z(y) wrt y.\nAnswer: -4500*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 26. Solve -2*r = -10, -o = 4*t - r + 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -907705 divided by -2395?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + g + 61, 3*g + 14 = 3*x - x. Calculate the greatest common factor of x and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 12*n**2 + 9*n + 6. What is y(11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n + 4. Let h = 63 + -44. Let w(u) = 9*u - h*u + 9*u - 1. Determine w(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 217*y**2 + 435*y**2 + 287*y**2 as t*y + s + g*y**2 and give g.\nAnswer: 939","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30499 is divided by 93?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*i + 4*s - s, 2*i = s + 3. Suppose 4*z = 5*z + 3*b - 4918, i = 4*z + b - 19661. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 u when four letters picked without replacement from ttutttttttttttutttt?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4 - 131. Suppose -q + 5 = -i. Suppose 0 = -3*g + i + 47. What are the prime factors of g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 90 + 103 + 32*k - 16*k - 5*k - 121. Calculate l(14).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64251 - 7073.221.\nAnswer: -71324.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 13*n - 31. What is b(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 4, -2.5, 2\/15, -0.0657?\nAnswer: -0.0657","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 1033?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.61009 nanometers in centimeters?\nAnswer: 0.000006761009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 6*((sqrt(3) + sqrt(9)\/sqrt(3))*-2 + -5 + 2))*3.\nAnswer: -72*sqrt(3) - 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 5) to base 16.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdgq when four letters picked without replacement from {g: 3, d: 11, q: 1}.\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2218*p**2. Let j(x) = -10*x**2. What is j(u(h))?\nAnswer: -49195240*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.10612.\nAnswer: 0.10612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -92, 2\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4264421 kilometers to meters.\nAnswer: 426.4421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -507 - -510. Solve -u*s - 12 = 2*g, 3*s - 5*g = -3*g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -0.2. Let u = -11 + 12. Suppose -4*n - 7 = -3*k, 7*n + u = -2*k + 4*n. Is k at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412986.\nAnswer: 2, 3, 7, 9833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.15 and 0.63.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - v. Let g be h(0). Let m(d) = d + 33 + 47*d**2 - 24*d**2 - 24*d**2. Does 11 divide m(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 15 - (-41 - -34)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0.1. Let v = 76\/45 - 8\/9. Let j = 0.1 - 0.2. What is the nearest to j in 0.4, v, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 165 + -171. Let m be (u\/10)\/((-17)\/85) - -2. Solve o - 8 = 4*l - o, o - 13 = m*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-9 + 2 - -5) + 12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 10 = 4*c + 4, 0 = 5*c - 2*j + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -206, -653, -1516, -2933, -5042, -7981, -11888?\nAnswer: -16901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - 2*c**3 - 2*c**2 + (0*c + 0*c - 3*c)*(1 - 3*c**2 + 4*c**2 - 6*c**2).\nAnswer: 13*c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12293017975 minus -136.1?\nAnswer: -12293017838.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28624\/5 or 5725?\nAnswer: 28624\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 60314536523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221 - -2102002110?\nAnswer: 2102001112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 56\/6809?\nAnswer: 56\/6809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**5\/60 + 11*i**4\/24 - 23*i**3\/6 + 11*i**2. Let z be w(-13). What is the tens digit of ((-3)\/6)\/(2\/(-359 + z))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002545847 rounded to five decimal places?\nAnswer: 0.00255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2))**(-3\/16)\/(p**(-3\/8)\/p**3) assuming p is positive.\nAnswer: p**(111\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/17 (b) 7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 11*d**2 - 14*d + 13. Calculate the remainder when 109 is divided by f(-12).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*z - 32*z = 242. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2. Let g(s) = 13*s + 9*s + 4*s - 8*s. Determine y(g(q)).\nAnswer: 324*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20.8 + -19. Let o = -31.56852 - -29.7685245. Let k = h + o. What is k rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 10*c**2 + c. Let b be d(10). Let i be 2\/b + 63\/35. Let r be -1 - ((-3)\/i - 2). Sort r, -4, -0.2 in increasing order.\nAnswer: -4, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352\/8624*35\/12*((-168)\/30)\/7?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 12:49 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44463822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 321 and 535?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10246142 and 1106.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 511957, 1023915, 1535873, 2047831, 2559789, 3071747?\nAnswer: 3583705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*f + 21, 5*f + 3*i + 1 = -5. Let r = -11 + f. Let j be (3 - -1)*1\/r. Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -135 + 203\/2*y**2 - 34*y. Find the first derivative of w(n) wrt n.\nAnswer: 203","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17147*d*s**2*t + 357*d*s**2 + 2*d*t + s**2*t - 6*s**2 - 4*s*t + 77*s - 78*t wrt d.\nAnswer: 17147*s**2*t + 357*s**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaii when four letters picked without replacement from aaaaaiiaaaaaaaaaaaai.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 2. Let j(v) = v**2 - v + 6. Let l(i) = i**2 + 1. Let r(x) = -j(x) + 2*l(x). Let f be r(-3). Solve f*b = -2 + g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34277600 divided by -80\nAnswer: 428470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -320 (base 8) in base 15?\nAnswer: -dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5432*t = 135*t - 133608 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = -3*y - 3*c - 37, -5*y - 2*c - 10 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5392 is divided by 90.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20347 (base 9) in base 16?\nAnswer: -3460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -152, -553, -1214, -2129, -3292, -4697, -6338, -8209?\n\"Answer: z**3 - 136*z**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*1 - (3 - 12). Let d = 4 + -9. Let b = o - d. Calculate the remainder when 37 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 760690830 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 32*g**2 + 6.\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 157 + -105. Calculate the highest common factor of 182 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/3)\/(4\/6). Let u be (-4)\/(-18) - (-39)\/(-54). Let n = -0.01 + 2.01. Which is the closest to u? (a) 0 (b) j (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + 4*(3 + sqrt(648) + 3)))**2*-1.\nAnswer: -10809 - 3024*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 321.971 and 0.04?\nAnswer: 12.87884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 e, and 1 i when four letters picked without replacement from ixwjegexexxix.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 151 = 109. Suppose 3*i + 4 = 22. Let a be 18 + i\/(3 + 0). What is the greatest common divisor of a and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -2*l - t, -100404*t - 106 = 3*l - 100399*t for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/40 of a day?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 5\/72661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(200))**2*-2 + 4 + 0 + (6*(-1 + sqrt(50) + sqrt(50)))**2.\nAnswer: -800*sqrt(2) + 6832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 8*x + 224 = 0. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48278510 to the nearest 10000.\nAnswer: -48280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**4\/2 - 51675*t**3\/2 + 1213422*t**2 - 8467304*t + 16107936 = 0. Calculate t.\nAnswer: 4, 39, 51628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 2061.\nAnswer: 412.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-14)\/(-4)*((-120)\/14 - -8)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 19*g - 3. Let r(z) = 70*z + 4. Let q(x) = 128*x + 7. Let k(p) = -5*q(p) + 9*r(p). What is -3*h(t) - 7*k(t)?\nAnswer: 13*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -142, -23, 168, 425, 742, 1113?\n\"Answer: -l**3 + 42*l**2 - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/18)\/1*-5)\/(21745\/13047)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 15, t: 2, w: 3}. What is prob of picking 1 p and 2 t?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-168)*14\/15)\/(180\/135)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*v)*(158 + 112 - 216).\nAnswer: -108*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50640 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - r**2 + r. Let i be h(-2). Let b = 2 + i. Calculate the smallest common multiple of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y + 24. Let i be g(5). Suppose i*x + 5*s - 3 + 1 = 0, -s = 2. Let d be -5*(-2 + x)*3\/(-5). Solve -4 = c - d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.1, 77, -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sllslllllllllllsll. What is prob of sequence ss?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 - 3.06. Let x = 0.0042 + -15.0042. Which is the third biggest value? (a) -5 (b) h (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -13*f**2 + f + 5. Let a(t) = -7*t**2 + 3. Suppose -15*q - 48*q = 315. Determine q*a(v) + 3*s(v).\nAnswer: -4*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3312111 (base 4) to base 14.\nAnswer: 5a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 15. Suppose v + 11 = 5*s, -s - f*v = 2*s - 4. Let i(r) = -2*r**2 + 2*r**2 + r**3 + r - 2*r + 5*r**s. Determine i(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19564 and 584?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-5)*h*h*h*h**6*h*(h**(-1\/2)\/h)**(-1\/13))**(-42))**(-23) assuming h is positive.\nAnswer: h**(214935\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - 39*r - 204. Give g(24).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -4 (b) -18 (c) -3\/7 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 2:53 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -162.49 + 161.5. Let c = u + 1.29. Let q = 16 - 49\/3. Sort 38, c, q.\nAnswer: q, c, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 40 = -5*h, 4*h + 3*y - 12 + 7 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 + l**2 - l. Let u = -345 + 346. Let y(n) = 52*n**3 - 12*n**2 + 12*n + 124. Let f(s) = u*y(s) + 12*r(s). Differentiate f(m) with respect to m.\nAnswer: 84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 - 0 - (1 - -2). Suppose n*h = -5*s - 15, -3*h + 17 = -3*s - 4. Let w be (-18)\/14 - (h + -3). Which is bigger: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/11726 and -47\/35178.\nAnswer: 35178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-231) + 75\/(-132)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012449 rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1, -4, 2, -8, 1351, 0, -5.8?\nAnswer: 1351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268789?\nAnswer: 268789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + (5 + sqrt(1452)*2 - (sqrt(1452) + 0 + sqrt(1452))*1))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)*-1 + 3.\nAnswer: -4*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2221 - 2203. Solve -9*q = -s*q - 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 135*g**3 + 114*g**3 - 33*g**3 - 2*g**2 + 215*g**3 in the form t + q*g + v*g**3 + u*g**2 and give v.\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2 - 1688076*x + 11816630 = 0 for x.\nAnswer: -844045, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-84)\/4))\/(-1).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = -7*a - 256. Let i = a + 114. Suppose 5*w + 4 - i = 0. Solve 0 = -4*c + w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/6, -4, 28, 97, 0.3, -78?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:31 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -22. What is the smallest common multiple of m and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 105?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 7070 = 4*l, -22 = -4*h + 2. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 131, 483, 1057, 1853?\n\"Answer: 111*g**2 + 19*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142*h**3*q - 2*h**3 - 374*h**2*q + 5*h**2 - 3*h*q + 2683*h - 4 wrt h?\nAnswer: -852*h*q - 12*h - 748*q + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -557*d - 154 - 141 = 819 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 132 (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*5 - (6 + -4). Let f = o + 31. Is 28 a factor of f\/(-2)*-10 - -285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*l + 21*l + 10. Put -2, -4, l, -5 in descending order.\nAnswer: l, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 13*x**2 + x - 16. Let k be y(13). Sort 2, -1, k.\nAnswer: k, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -16*x + 150. Give b(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 26.705.\nAnswer: -10.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 0.1439 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 27.7*-0.009\nAnswer: -0.2493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-165)\/66*12\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*b = 13, 9*z - 2*b - 4 = 4*z. Solve -z*o = 5*u + 3*o - 15, 3*u = -4*o + 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 157\/4 + 6\/(-24). Let t be 65\/n - 8\/(-6). Suppose -t*x = -3*a - 270, -3*x + 242 + 28 = -5*a. Calculate the greatest common factor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -766 - -765. What is the second smallest value in a, -0.24, 1, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8547045*n**2 - 9440633*n?\nAnswer: -17094090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*u - 12. Let p = u - 6. List the prime factors of (-2)\/p + 98\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 1 + 3\/5. Suppose -4096 + 4096 = -700*r + 36*r. Determine k, given that r - 1\/5*k**2 - m*k = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, -4, 3, -1 in decreasing order.\nAnswer: 8, 3, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 154*k + 2*k**3 - 4 + 13 + 0*k**3 - k**3 as o + m*k**3 + n*k**2 + i*k and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 11) in base 15?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 1. What is q(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43781 + 43781.2. Let o = 6.07 + 0.33. Let v = o - 6. What is the nearest to v in z, -1\/4, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237378 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401271 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 43516*x - 783612.\nAnswer: (x - 18)*(x + 43534)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*l = 147*l + 211*l - 18774. Solve l = 72*j - 79*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33367421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/9525330 and 83\/20.\nAnswer: 19050660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 622426, 622425, 622424, 622423?\n\"Answer: -k + 622427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 2*x**2 + 8*x + 7. Let i be z(-5). Find the common denominator of 15\/8 and (-3 - (-129)\/i)*46.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 3. Let c be (2 - 4) + 3 + -6. Let o be p(c). Suppose -u = -5*j - 73, o*u - 2 + 6 = 0. Which is smaller: j or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*1.76\nAnswer: -1.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 f when four letters picked without replacement from {n: 3, f: 17}.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + 2*(2 + (sqrt(98) - (2 + sqrt(98)*1)) + 1) + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a microgram in nanograms?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnknnnknnnknnknnk. Give prob of picking 2 n and 1 k.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 224859\/91 - 2471. Which is bigger: 5 or o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by -3.\nAnswer: -56\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/1799 + -6683\/1799. Find the common denominator of (34\/(-4))\/((-20)\/(-3)) and w.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**4\/12 - w**3\/3 - w**2 - 76*w. Let d be r(-2). Solve -20 = -k + d*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*s = 116*s - 17*s + 415*s - 15876 for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 + 8195*t\/2 + 67158025\/4.\nAnswer: (t + 8195)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (0 - 5 - (0 - 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1823168*d**3 - 861434*d wrt d.\nAnswer: 10939008*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -24. Let f = i + -11. What is the remainder when 7 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9159, -9156, -9151, -9144?\n\"Answer: j**2 - 9160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*c**5 - 98*c**2 - 24 + 139 - 32*c + 66*c**2 + 34*c**2 + 138*c**3 wrt c?\nAnswer: -540*c**2 + 828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50511 (base 6) in base 13?\nAnswer: 305b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-6)*((-3)\/3)\/((-1150)\/46)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*w + 33*w = -6008. Let u(r) = -w - 2*r**2 - 750 + 1501. Let g(l) = -74*l**2. Calculate g(u(a)).\nAnswer: -296*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**5 + 4*m**4 - 7*m**3 - 10*m**2 = 0?\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/7 and -40\/31?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**4\/4 - s. Suppose -5*k = -2*a - 9, 2*k + 4*a + 3 = 21. Let i(g) = -k*g**2 + 0*g**2 + g**2. Determine i(z(n)).\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(25) - sqrt(625)) + sqrt(25) + sqrt(25)))\/(sqrt(5) - (sqrt(5) - sqrt(405)*-2)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 264*v - 62. Let r(s) = -3*s. Determine o(r(f)).\nAnswer: 9*f**2 + 792*f - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8 - (-276)\/368.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -200*h**2 - 4799*h + 24. What is c(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6209, 6118, 6029, 5942?\n\"Answer: g**2 - 94*g + 6302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1847475*y = -1846946*y + 24334 for y.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 2*g**2 + 4*g + 2. Let t be b(-3). Sort t, 5, 4 in decreasing order.\nAnswer: 5, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.437 or 7226\/11?\nAnswer: 0.437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 12577\nAnswer: -4\/12577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + 2*(-2*sqrt(132) + sqrt(132)) - sqrt(132))\/sqrt(12) + sqrt(99)*-2*3)**2*1.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*c + 4794, 8*c - 4214 - 5434 = -4*f. Calculate the remainder when c is divided by 191.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/50*-4)\/13)\/((-44)\/110)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*l - 10. Let g(w) = -w**3 + 11*w**2 - 12*w + 15. Let v be g(l). Let p = 8.61 - -0.39. Which is the closest to 1? (a) p (b) v (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 17. What is the units digit of 4 + 3 + x + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 28. Let w = r - -7. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzz. What is prob of sequence zzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k - 6. What is the remainder when 14 is divided by v(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 141 = 78 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10 - (19 - 36) - (6 + 1). Solve x = -7*h - 20 - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5584694*g**2 - 7*g + 28535516.\nAnswer: -11169388*g - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/419133 and -38\/641889?\nAnswer: 91790127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1687\/18244 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/11)*g*g\/((g\/(g**6\/g*g))\/g)*(g*g**(-1\/3)*g)**(-7))\/((g**(-3\/7)\/g)**(1\/43))**(-23) assuming g is positive.\nAnswer: g**(-42205\/9933)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 182. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 320, 641, 962, 1283, 1604, 1925?\n\"Answer: 321*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*n + 75 + 157 = -233 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**12)\/c*c*c**13*(c\/(c\/(c\/(c**41\/c))*c))**(-6\/29) assuming c is positive.\nAnswer: c**(298\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 699 + -695. Suppose 2*x = z*a + 1732, -a = 2*x + 1123 - 2855. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**4 + j**3 + 647*j**2 + 2*j - 4*j**3 + 1 + 0*j**3 - 609*j**2 as h*j**2 + k*j + v + x*j**3 + d*j**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0635296 rounded to five dps?\nAnswer: -0.06353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 7. What is the second biggest value in -4, 0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154)*-2)\/sqrt(11))\/(sqrt(567)*-4).\nAnswer: sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 889887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*t + 3*t. Let r(m) = -3*m**2 - 43*m + 797. Let w be r(-25). Put t, 41, w in decreasing order.\nAnswer: 41, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-175)\/10)\/(1\/(-2)). Solve -4*n - 7 = -3*v, -5*n + 0*v - y = 5*v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21459 + -21443.879. Round k to one dp.\nAnswer: 15.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 - 1954*j + 23005. Calculate m(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b - 6*b**2 + 2*b**2 + 13*b**2 - 3 wrt b?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10*t + 9695 = 5*l, -l = 2*t - 1951. List the prime factors of l.\nAnswer: 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 19. Let i be (67\/3 + -2)*g. Suppose -3*f - 13 = -i. Calculate the highest common divisor of 144 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d + d + 2681 - d - 1078 as s + w*d and give s.\nAnswer: 1603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.69 <= 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.6889 and -163.98.\nAnswer: -163.2911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2766357 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, w: 1, r: 9, q: 4}. What is prob of picking 1 r, 2 i, and 1 w?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 20. Let r = m - 7. List the prime factors of r\/(-4)*(-23 + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63384?\nAnswer: 2, 3, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*(d*d*d**(-10))\/d*d**(10\/11)*d assuming d is positive.\nAnswer: d**(-67\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(-23*s**4 - 2*s + 0*s + 45*s**4) to d*s**3 + w + q*s**2 + c*s**4 + z*s and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -360.695 - -0.695. Let u = s - -359.817. Round u to two decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-32)\/(-3) + (-2)\/3 and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585341197 plus -4.821?\nAnswer: 585341192.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 4 - 2*z**2 + 6)*(-3*z + z - 3*z) to the form n + f*z + d*z**2 + a*z**3 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1578 and 4.\nAnswer: -6312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + (-57)\/(-36)*-2. Let g be 44\/(-60) + (-1)\/(-3). Which is smaller: c or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 941, 1012, 1113, 1238, 1381?\nAnswer: 1536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1530864 is divided by 12054?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 378310035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*f = -103, -49 = -2*t - t + 5*f. Suppose -13*a + 27 + 207 = 0. What is the remainder when -2 + (-3)\/(-2) - (-1233)\/a is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 16, 4, -2, -10, 0.3, 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -2006*p + 2012*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2))**34*b**4*b*b**(-2\/13) assuming b is positive.\nAnswer: b**(284\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, t: 5, g: 3, v: 3, s: 1}. What is prob of picking 3 c and 1 v?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9021391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.91 - -1.22. Which is smaller: -2\/3 or i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 188 + -188.1. Which is smaller: r or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.128, -34, 0, 60, 2?\nAnswer: -0.128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -199\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1125765995?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1377))*5 + (sqrt(136) + (-1*2*sqrt(136) - sqrt(136)) + sqrt(136))\/sqrt(8))**2.\nAnswer: 32912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 219 - 149. Let j(f) = 21*f**3 + q*f + 65*f + f**2 + 1 - 134*f. Determine j(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 7*b + 5. Let l be x(4). Let d be (852\/36 + -7)*(-12)\/(-10). Solve -d = 5*r, -l = z + 2*r - 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y**5 + 195*y**4 + 530*y**3 + 495*y**2 + 80*y - 60 = 0.\nAnswer: -6, -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*o - 4 = -6, 9 = l + 4*o. Let r(p) = -p - 1. Let t be r(-6). Let w(m) = m. Let x be w(t). Solve -l + x = -2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.387559cm?\nAnswer: 73.87559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 31399212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189263*z - 189173*z + 379 = 2539 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2126347.\nAnswer: 19, 111913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.9601 + -0.0399. What is the biggest value in p, -0.1, -2\/7, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1518, 12011, 40460, 95835, 187106?\n\"Answer: 1495*r**3 + 8*r**2 + 4*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 110482110?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 41*r**2 - 41*r + 82. Determine o(2).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 1. Let s(j) be the third derivative of -j**5\/60 - j**4\/6 + 2*j**3\/3 + 70*j**2. What is -12*c(k) - 3*s(k)?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (13 + -2 - 1) + -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134.51702*-8.\nAnswer: 1076.13616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + sqrt(75) + -5 + (sqrt(3) + -1 + 4)**2*-5.\nAnswer: -69 - 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -6*v + 13. Determine x(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f**3 + 2*f**2 + 2*f + 3. Let k(y) = 30*y**3 - 9*y**2 - 9*y - 11. Determine 18*d(w) + 4*k(w).\nAnswer: -6*w**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4404*o**2 + 10797*o**2 - 6626*o**2.\nAnswer: -233*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1526 and -3?\nAnswer: 4578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.631 + -0.831. What is the nearest to u in -0.059, 3, 4?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 50 = -0*c. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 860680080 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 11*k**2 - 27*k + 11. Let d = 1861 - 1848. Determine q(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9495.7 to the nearest one hundred.\nAnswer: -9500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, u: 1, r: 2, g: 1}. What is prob of picking 2 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/5, -18\/7, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -149.1 - -149. Which is the second biggest value? (a) 0 (b) 1 (c) 12\/17 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17056 and 1664.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j**3 - 1. Suppose -2*n = n + r - 5, n - 7 = -3*r. Suppose -3*k = -2*k - n. What is b(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 27.9. Let x = 3.1 + t. Which is the third smallest value? (a) 1\/4 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + 0 - (-6 + 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 x, 1 d, and 1 g when four letters picked without replacement from {g: 1, y: 2, d: 2, x: 2, a: 1, e: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1.64 (b) -2\/7 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 11:54 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -30*g + 112. Suppose 3*u = u + 5*b + 1233, -2458 = -g*u + 2*b. What are the prime factors of u?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (11804\/8)\/13 - (-1)\/2 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*o*s**3*v - 2*o*s**2*v**2 + 4*o*s*v**2 + 10*o*v - 7*o + 3*s**3*v**2 + 44382*s**3*v + 3*s**2*v**2 - 2*s**2*v + s**2 wrt s.\nAnswer: -72*o*v + 18*v**2 + 266292*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-4 + 0\/(-3)). Solve 5*f + x*w + 7 = 4*f, 5*w = -3*f - 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42484 and 380.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96 + 96.241. Let h = 274.959 - 275. Let g = h + l. What is the third biggest value in g, 0, 9\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*u**3*w**4 - 211*u**3*w**2 - 220*u**3*w + 12056*u**2*w**5 wrt w?\nAnswer: 192*u**3*w + 723360*u**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1274 + (0 - 0\/1). Let s = u - -6318\/5. Let n = s + 11. What is the smallest value in n, 0.1, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77985734 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (105\/3)\/(8*-10*196\/2240)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.4 (c) -9 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c + 2 - 2 - 124*c in the form t + g*c and give g.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**4 - l**3 - l - 3. Let m(w) = w**3 + w + 1. Let k(o) = o**2 + 8*o - 11. Let j be k(-9). Let r(s) = j*v(s) - 2*m(s). Differentiate r(z) wrt z.\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001110010110000 - 1111?\nAnswer: -10001110010111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, d: 2, t: 1}. Give prob of sequence odtd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -667, -1037, -1701, -2653, -3887, -5397?\nAnswer: -7177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 15) to base 12.\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9111587.\nAnswer: 9111587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -161 + 164. Let z = 0.513 - 0.113. Which is the closest to -0.28? (a) z (b) i (c) 4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -76 (b) 0 (c) -0.3 (d) 4 (e) 1\/1068\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/(-32*48\/92160).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 200.98 and -0.03.\nAnswer: -6.0294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h - 45*h = 98. What is the fifth smallest value in -2\/9, -2\/5, -19, h, -10\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(5) + (sqrt(125))**2)*-1 + 2).\nAnswer: 6*sqrt(5) + 738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2452709 rounded to one decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*m*o**3 - 13*m*o**2 + 2*m*o*z - o**2*z + 2*o**2 + o*z + 163*z - 1 wrt o.\nAnswer: -48*m*o - 26*m - 2*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -1. Suppose 0 = 4*x - x + 3*g - 117, 3*x = -g + 121. Suppose -1238 = -40*p + 522. Let a = p - x. Let b(f) = f**2 - 1. What is a*o(r) - b(r)?\nAnswer: -r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1241 and 451910150.\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*o - 11*o - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 469\/(48307\/(-309))*1\/(3\/(-24)*-7)\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*r - 40 = 52*r. Solve o - 10 = -r*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-558)\/(-644) + 198\/(-924). Put -5, -1.1, b in ascending order.\nAnswer: -5, -1.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -14*a**2 + 0 - 7\/6*a**3 - 1\/12*a**4 + 0*a - 23\/60*a**6 + 1\/15*a**5. Is h(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + x**2 + 22. Let v be t(0). Suppose 2*w + n = -0*w + 35, -w = 2*n - v. Calculate the highest common factor of 40 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 2*k = 3*k. Let l be (-8)\/(-3)*18\/8. Suppose -5*x + 4*n + 73 = 0, l*n = 2*x + n - 36. Solve x = 4*g - d, k = 4*g - 2*d - 14 - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50.112129 + 0.065129. Let p = b - -50. Let u = p + -4.953. What is the second biggest value in u, -18, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2696023 is divided by 46?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 1:09 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -24*z**2 + 14*z**2 + 6*z**2 - 4 + z + 6*z**2. Let q be (-4)\/(5 + -4) - 0\/(-2). What is k(q)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 0*w**2 + w**3)*(w - 2*w**2 - w) - 7*w + 7*w - 2*w**5 + 135*w**5 - 28*w**5 + 120*w**5 + 2*w**5 - 6*w**5 + 0*w**5.\nAnswer: 219*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 9 = -5*r + 4*r, 2*r = -x - 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, -86, 2, 645 in increasing order.\nAnswer: -86, 0, 2, 7, 645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**6\/10 + 7*t**3\/3 - 7*t**2\/2 + 1. Let b(w) be the second derivative of i(w). What is the first derivative of b(q) wrt q?\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -3 (c) -49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183*74696.\nAnswer: -13669368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(136) - (sqrt(136) + -1*(sqrt(136)*2 - sqrt(136)))) + sqrt(136))\/(sqrt(16)\/sqrt(2)*3).\nAnswer: 8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -9. Suppose -2*v + 94 = 5*m - m, 0 = 3*v + b*m - 129. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102642*j**3 + 474091*j**2 wrt j.\nAnswer: 615852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x + 5. Let i(u) = -2*u + 2. Let b = 30 + -36. What is b*k(g) + 14*i(g)?\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*h - 4, 2 + 15 = 3*x + 5*h. Solve -x*y - 3*b - 26 = -0*y, 3 = y - 4*b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -206*r + 60. Let q(j) = -103*j + 31. Let m(z) = -5*q(z) + 2*t(z). What is the first derivative of m(b) wrt b?\nAnswer: 103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0243 + -0.0242867. Round n to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2159 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 29. Let v = h + -8. Put 1, v, -1\/4 in decreasing order.\nAnswer: v, 1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -36*r + 19. Let u(c) = -7*c + 4. Determine -11*u(w) + 2*y(w).\nAnswer: 5*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/9)\/((-220)\/(-1848)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-642)\/(-84) + -8)\/(70\/294 + (-2)\/(-6))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7260\/126)\/11*1245\/2075?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 14*g + 51. Let w be o(17). Suppose w = 13*u - 18*u + 50000000. Round u to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/10 - 1056\/660. Solve y = -5*r + 9 - 29 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -144 bigger than -145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4912969641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4625 (b) -21 (c) 0.11 (d) 0.2 (e) 4 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17555737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -135*n - 1. Let d(q) = -31726*q + 4. Give d(l(g)).\nAnswer: 4283010*g + 31730","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127, -221, -255, -217, -95, 123, 449, 895?\nAnswer: 1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 3*c**4 + 9*c**3 + 6*c**2 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 11. Let m be w(-8). Solve o + m = 0, -4*k - 2 + 12 = -2*o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kttktkttkkkhpt. What is prob of picking 3 k and 1 h?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13044 and 11640?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1142068250 to the nearest integer?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -231 + 13361613?\nAnswer: 13361352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3974701*j. Let h(n) = 7*n. What is y(h(z))?\nAnswer: -27822907*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1836 + 1847. Let z(p) be the second derivative of p**4\/12 - 11*p**3\/6 - 3*p. Give z(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - (-13 - 49\/(-7)). Which is greater: -2\/351 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 391 = 127. What is the lowest common multiple of 11 and i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -12\/491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 13*h - 2. Let u be s(1). Let t be (1 - 7\/5)*u\/(-154). Let q(a) = -a**3 + 14*a**2 + 16*a - 15. Let k be q(15). Which is smaller: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127535\/3, -4, -1.2, -3 in decreasing order.\nAnswer: -1.2, -3, -4, -127535\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - 1276\/(-108))*(-45)\/100.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 4, d: 4, y: 7, j: 1, v: 2}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: a65d7 (base 16) to base 15\nAnswer: d6d8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(11)*2)**2 + sqrt(275)*-4.\nAnswer: -40*sqrt(11) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -15. Let u(h) = 11*h**2 - 2. Let o be u(-2). Let w be 3\/r + o\/8. What is the greatest common divisor of w and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 16\/3, -1\/30250, -2?\nAnswer: -1\/30250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90691.86ml to litres.\nAnswer: 90.69186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = 18*z - 15. Let w(i) = -5*i - 26. Let f be w(z). Which is the nearest to -2? (a) 0.1 (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*k**2*p**2 + 9*k**2 - 2*k - 23*p**2 + p + 24 wrt p?\nAnswer: -6*k**2*p - 46*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -63142200 to the nearest 1000000.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/56 and -47\/10108.\nAnswer: 20216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 165900 rounded to the nearest 1000?\nAnswer: 166000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 218137 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8676684 and 24933?\nAnswer: 8676684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -42 + 152. List the prime factors of 3\/2 - 33\/n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*2\/176)\/((-3)\/(-12))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5316772 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -33528.\nAnswer: -1\/8382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z. Let s(x) = 9*x + 68. Let r be s(-6). Suppose -9*t - 130 = -r*t. Let h(k) = -4*k**2 - t + 26. Determine m(h(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence occp when four letters picked without replacement from pcoc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 39\/9 + (-2)\/12*2. Suppose f + n*x - 6*x = 6, 0 = 2*x + 2. Calculate the smallest common multiple of 11 and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*h**2 + 221*h**2 - 441*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3 = p - 3, 15 = 5*p + 5*q. Solve u = p - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*w + 2*w - 4*w)*(-3 - 1 - 1) - 5*w + w - 7*w)*(-3*w + 3*w + w**3) to the form d*w**4 + p*w + i*w**2 + a*w**3 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/1661 and 43\/25606.\nAnswer: 42531566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 5262396*s**2 + 10525293*s**2 - 5262887*s**2.\nAnswer: 10*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**2\/2 + 4*l - 1. Let d(a) = -2*a - 12. What is the least common multiple of d(-11) and h(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150 * 20823\nAnswer: 3123450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 5*w**4\/6 + 32*w. Let z(q) = -8*q. Determine z(v(s)).\nAnswer: -80*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1ab07 + 1?\nAnswer: -1ab06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/20157 and -24?\nAnswer: 20157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -31*d. Let l(j) be the first derivative of -2*j**3\/3 - 24. What is r(l(w))?\nAnswer: 62*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 193 = 17*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 488.3767 to one dp.\nAnswer: 488.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -527*x - 3046. Determine b(-6).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.41 + 0.59. Let h = 0.4 - 0.3. Let d = h + -0.2. Which is the third smallest value? (a) 5 (b) d (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 - 39. Let b = x - 23.999942. Round b to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 + 104*w**2 + 38*w + 273. Calculate the remainder when j(-51) is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -633183, -1266467, -1899851, -2533329, -3166895?\n\"Answer: p**3 - 56*p**2 - 633123*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-43)\/(-2) + (10\/(-4) - -2). Let u(y) = -y**2 + 27. Let o be u(0). Let s = o - 13. Calculate the greatest common divisor of z and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 331 + -113. Suppose 2*o - 4*f = -220, 2*o + 0*o - 2*f = -s. Let c = -56 - o. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k - 16 = -21*k. Let u(f) = 3*f**2 - 3*f - 7. Determine u(k).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxxssvlvvxxlll. What is prob of picking 2 v?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -85, 3, 11 in decreasing order.\nAnswer: 11, 3, -4, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 plus 383924265?\nAnswer: 383924265.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21916479*s**3*t - s**3 - 590*s**2 + s*t + s - 167 wrt t?\nAnswer: -21916479*s**3 + s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35\/4 or -4\/7?\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*c - 35*c + 12. Let i be (-1)\/c*(-2)\/(-4). Find y, given that -1\/4*y**2 + 1\/4*y + 0 + 1\/4*y**4 - i*y**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1160 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 29532, -27 in decreasing order.\nAnswer: 29532, 1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from geegrrerree?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/4597824 and -17\/16172.\nAnswer: 59771712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7*(2 - 4)*4. Let z = 27 + x. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17228 and 4392668?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 785 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**2\/2 - 1. Let l(t) = -8*t - 1. Let h(w) = 117*w + 2596. Let o be h(-22). Give o*z(k) - 2*l(k).\nAnswer: -6*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 239005?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (91 - 48) + -50?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109 + 78. Let i = -23 - w. Let d(o) = -2*o + 7 + 3 - 1 - i. What is d(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*c**3 + 73*c**3 + 17*c**3.\nAnswer: 115*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + 6*y - 1. Calculate the remainder when f(-5) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 5)*(-6)\/(-4). Let o = 5 + r. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -380, -385, -376, -359, -340, -325, -320, -331?\n\"Answer: -f**3 + 13*f**2 - 37*f - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3) + 11\/3. Suppose 54 = 5*p - j, -p + b*j + 28 - 2 = 0. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i**4 + 32*i**2 - 48*i**4 - 12*i**5 - 3*i - 4*i**3 + 6*i + 13*i = 0. What is i?\nAnswer: -2, -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 88*o**5\/5 + o**2 + 13*o - 20. Find the second derivative of p(f) wrt f.\nAnswer: 1056*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + (14 - (1 + 8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -5*x**5\/2 + 5*x**3\/6 - 17*x**2. Let k be w(-2). Let g = 846 + k. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 950863?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826085?\nAnswer: 5, 13, 71, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 10*s + 17 + (37*s + 4*s - 11*s)*(1 + 3 - 3) to the form f + h*s and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6*i - 104 = -j, 3*j - 42 = 2*i. Let y be (11 - 2)\/(((-3)\/i)\/1). What is the highest common divisor of 108 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185329, -185296, -185263, -185230, -185197?\nAnswer: -185164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5842920 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y - 74 = 406. Suppose -17*q + 14 = -y. Suppose -h + 2*w + w - 7 = 0, 0 = -2*h - 2*w + 10. Solve -2*n + h*p + q = 0, 5*p + 3 = n - 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7349*t + 36739. Give o(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 13) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 - 210*h**2.\nAnswer: -5*h**2*(h + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 22375054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24461 is divided by 13654.\nAnswer: 10807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 - -50.16. Let o = u - -1.74. Let p = 4 + -3. Which is the closest to -1? (a) -2\/9 (b) o (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*l + 125 = -14*l. Is l - 47500\/(6 - 11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.5 - -2. Let d = -6.4 - -6. Suppose 8 = -5*h - 7. Sort h, d, o in descending order.\nAnswer: o, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 4*l - l**2)*(-5*l**3 + 0*l**3 + 3*l**3) + (-17*l**3 + 4*l**3 - 7*l**3)*(-4*l**2 - 13*l**2 + 2*l**2).\nAnswer: 302*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013394 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: Let c be (84\/(-49))\/((-9)\/1722). What is the highest common factor of c and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/(-236) + 7\/(-20)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 197, 311, 441, 593, 773?\nAnswer: 987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1363107854?\nAnswer: 2, 681553927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x**2 - 3*x + 1. Let l(r) = -r. Let v(f) = -7*f**2 + 7*f - 2. Let y(g) = 4*l(g) + v(g). Let n(j) = 6*d(j) + 5*y(j). Does 10 divide n(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22277567 >= -22277555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -42, -10 in ascending order.\nAnswer: -42, -10, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4408289.997 rounded to the nearest ten thousand?\nAnswer: -4410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12c042d (base 14) to base 3.\nAnswer: 122001122120212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 4. Suppose a + 3 = 5*h - 2*a, 1 = -a. Is l(h) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(83 - 36 - -19).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**4\/12 - 13*a. Let d(w) = 4*w. What is f(d(y))?\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*k + 2 = -2*s, 3*k = -4*s + 3. Suppose -8*d + 12*d - 60 = s. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417585 is divided by 207490.\nAnswer: 2605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 10:38 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1082 = -267*l + 97*l + 187*l - 249 for l.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1100102010 (base 4) to base 3\nAnswer: -121201002010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/161 + -4041\/644. Sort c, 1, -0.4.\nAnswer: c, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3 + 602514*v**2 + 12653720*v - 13256232 = 0 for v.\nAnswer: -22, 1, 301278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (143 - 136) + (-4 + 11 - (0 + -1)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 431*g**2*h + 6*g**2 - 5*g*h - 6*g + 2*h wrt h?\nAnswer: 431*g**2 - 5*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 6 + 30)*(5 + 10 + 0)*(m - 6*m + 3*m).\nAnswer: -1860*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 415461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000245844 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 68\/3 of a minute?\nAnswer: 1360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 19. Let r(b) = b + 1. Let y(x) = -d(x) - 6*r(x). Let o(c) = -1 + 14*c - 1 - 25 + c. Let a(k) = 6*o(k) + 13*y(k). Calculate a(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1634 or -276148\/169?\nAnswer: -1634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/476 and -22\/119?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - f - 1. Let h(a) = 1. Let o(n) = 10*n**2 - 8*n - 4. Let s(v) = 4*h(v) - o(v). Let p(g) = 8*b(g) + s(g). Let w(r) = 2*r. Give w(p(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27.72 - 29.52. What is the closest to -2\/7 in -1\/4, -1\/5, -3\/11, h?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 730*k - 2. Let h(g) = g + 116. Calculate m(h(y)).\nAnswer: 730*y + 84678","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -151.9, -3 in decreasing order.\nAnswer: 1, -3, -151.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 - 112*i**3 - 1762*i**2 - 2592*i + 26496.\nAnswer: 2*(i - 69)*(i - 3)*(i + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 19\/4 of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/5 - 4379*m - 830566\/5 = 0. What is m?\nAnswer: -21857, -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 10:03 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5625351, -5625366, -5625385, -5625408, -5625435, -5625466?\nAnswer: -5625501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 10 = 0, -7*p + 3030 = -2*p - 3*i. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 53. Suppose 0 = -0*q - q + b. Solve -q = -j - 4*k, 4*j - 21 = -5*k + 24 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*b + 2*v + 15, b - 3*v = 11. Let j be (2 + 0)*52\/b. Round j to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 69*m**2 - 723*m - 165. Calculate s(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 9*z - 6. Let l be n(8). Let p = 0 + l. Suppose 3*a = -4*q + 1, p*a + 18 = -0*q + 2*q. Solve q*j = -0*j - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 902243 and 1443862.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.292122s to hours.\nAnswer: 0.022581145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 9 + 1 = t, i = 4*t + 11 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*3 + (-2 - -2). Let b = 6 - x. Let p be 1 - (-2 - (1 + -2)). Solve 3*q + b*w = 3, 0*q = -q + p*w + 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 677 = 2*x, -5*x + 3*x = 5*c - 1135. Let o(t) = -t**3 + 8*t**2 + 3*t - 6. Let g be o(9). Let r = c + g. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 3680*p + 390126. What is l(103)?\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 6*v + 1. Let o be t(-5). Suppose -o*x + 237 - 57 = 0. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 1:58 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 29 = 4*a, 3*u = -4*a + 7*u + 44. Solve -g = 0, 3*s + 4*g - 2*g + a = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1927501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -22. Let p = a - -12. Let u = p - 14. What is the closest to -0.1 in 0.5, 1\/4, u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16431 + -61?\nAnswer: 16340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 10*p + 23. Let h be m(-2). Let n(r) be the first derivative of 0*r**3 + 0*r**2 + 0*r**5 + h + 1\/8*r**4 - 1\/12*r**6 + 0*r. Solve n(t) = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 826 is divided by 822?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yvvvrvvyjyjjvv.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (750\/(-1125))\/(1\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6727*-0.13.\nAnswer: -874.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2848807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/1708363 and -49\/27.\nAnswer: 46125801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*sqrt(1100)*-2*-5 + 5)**2.\nAnswer: 30000*sqrt(11) + 19800125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*a + 8*a = 24, -5*c = 3*a - 2. Let h = c + 5. Let w = 0 + h. Solve 2*x - 4 = 3*x + 4*o, -4*o - 20 = -w*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - x)*(25*x**2 - 66*x**2 + 23*x**2) to f*x**3 + n*x**2 + i + g*x and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*u + 14*u + 4*u)*(12 - 12 + 23*u**2 + (-2*u**2 + 2*u - 2*u)*(-1 - 3 + 2) + u - u + 2*u**2) to the form q + g*u**2 + t*u + f*u**3 and give f.\nAnswer: 1131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4 = 4*d, -3*d + 6 = 2*t - 4*d. Let q(v) = v**2 + 8*v + 2. Let s be q(-7). Put t, s, 5 in descending order.\nAnswer: 5, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 1. Let v(q) = 5*q**3 + 3*q**2 - 4*q + 5. Let p(z) = -3*l(z) - v(z). Suppose 28*o - 55 = 21 - 20. What is p(o)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 4*d + 1 + 11 - 13*d + 0.\nAnswer: -3*(d - 1)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*y + 10034, -2*y + 721*t = 725*t - 6688. Calculate the remainder when y is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 24*u**2 - 34*u**2 + 10 + 7*u - u**3 + 17*u**2. Suppose -4*v = j - 9 - 19, -2*v + 10 = 0. What is r(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*j + 809 = 697 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -17*t. Let p(r) = 9*r. Let k(y) = -4*h(y) - 7*p(y). Let f(v) = -3*v + 2. Let c(j) = 3 - 6 + 2. Let z(d) = 2*c(d) + f(d). What is k(z(s))?\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 562723 and 266?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1367.9 - 1368. Sort -30\/19, j, 0.1, 1\/2 in decreasing order.\nAnswer: 1\/2, 0.1, j, -30\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/6*-1228)\/((-12)\/(-18))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872444481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*z**5 - 5*z**5 - 2*z**5 - 6*z**3 + 6*z**3 - 10*z**5 + (z - z - z**2)*(-1 + 1 + 1)*(9*z - 9*z - 7*z**3).\nAnswer: -20*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1793009 - -13?\nAnswer: -1792996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/(-27)*42\/(-4). Suppose -96 - 107 = -u*v. What is the remainder when 115 is divided by v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, w: 3, g: 7, m: 8}. What is prob of sequence wb?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 1:36 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**5 + 217*r**4 - 4728*r**3 + 29200*r**2 - 58368*r + 16384 = 0. Calculate r.\nAnswer: 1\/3, 4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 5. What is the units digit of d + (12 - (2 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 7 = 2*o, -o + 5*r - 10 = 10. Sort -2, 1, o, -1\/2 in ascending order.\nAnswer: o, -2, -1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 30*f - 616. Let t be a(14). Let b be (-56)\/(-10) - (1 + 21\/(-15)). Solve -2 - 13 = -3*d - 2*k, -d + 3*k - b = t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4, -4*j = s - 0*j - 38. Let p**4 - 18*p + s*p**2 - 9*p**3 + 5*p**2 - 9*p = 0. What is p?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 4*u = -19, -376 = 5*b - 5*u - 406 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from baubbayrrueraurbuyub. What is prob of sequence yyb?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + x + 1. Let t = 82 - 78. Suppose -70 = t*l - 66. Let y be (l - 0)\/3*-9 - 4. What is h(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 659 - 650. Let q be (-105)\/k*60\/(-7). Calculate the highest common divisor of 40 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 0*o + 4*o)*(o**2 - 3*o**2 + 0*o**2)*((2*o - 3*o + 2*o)*(o + 3*o - 2*o) - 2 + 4*o**2 + 2 - 3*o**2 + 0*o**2 + 10*o**2).\nAnswer: -26*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -157 (c) -4 (d) -5 (e) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/256376 and -151\/24.\nAnswer: 769128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3957 = -65*r + 707 for r.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11413*m**2 - 22777*m**2 + 11365*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.0935*-15269\nAnswer: -1427.6515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 divided by -38?\nAnswer: -41\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1725, -3449, -5173?\nAnswer: -6897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(17))*-4 - 4*sqrt(833).\nAnswer: -32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6360, -5615, -4872, -4131?\n\"Answer: -y**2 + 748*y - 7107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -7727239\nAnswer: -7727246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 16 - 20 + 50 - 25*a.\nAnswer: -25*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 - -1.28. Let j = z + -1.92. What is j rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 - 9*t + 9. Let l = 19 - 27. Let m be (-2)\/(-2) - 2\/4*l. Let k be c(m). Calculate the highest common factor of 70 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 4*v = 12, 4*v = -138*a + 135*a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 0, -2, 18, -4, -1 in decreasing order.\nAnswer: 27, 18, 0, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g - 4 = -4. Let a(z) be the second derivative of -1\/3*z**3 + 3*z + g - 2*z**2. Calculate a(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5\/44 - -3\/22. Let f = 1982 - 1985. Which is the closest to -1? (a) 21\/5 (b) f (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a minute in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/106 and -2\/138595?\nAnswer: 277190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/2469 - 165493\/34566. Find the common denominator of m and -23\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 5 - (683 - 651)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -154*p**2 + 17*p - 100915.\nAnswer: -308*p + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6950 and 0.2.\nAnswer: -1390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*y - 1447 = 2*a, 2*a - 3*y = 973. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -1. Let p be (1\/(-9))\/(-15 - (-6187)\/414). What is the nearest to b in p, -1\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1366 - -1362. Let s = -19 + 12. Which is the second smallest value? (a) 1\/5 (b) l (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2 - 4. Let g be 0\/(-3) + 18 + -1. Suppose 3*j - f = g. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a century?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 36*x**3 - 1. Let i be v(1). Suppose i = 3*k - 1. Suppose 2*n - 4*n + k = 0. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 1 - (14 + -8 + -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 106 and 94?\nAnswer: 4982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -120540000 rounded to the nearest 1000000?\nAnswer: -121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 591.173 micrometers in kilometers?\nAnswer: 0.000000591173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 961382800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*x - 2*x + 0*x)*(-2 + 2 + 1) + 8 - 8 + 5*x)*(4457 - 2621 - 2686) as j*x + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 155 - 5. Let n = 26 - w. Let x(a) = -a**2 - 9*a + 2. What is the remainder when x(-6) is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2614 + 23724?\nAnswer: 26540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 3*r**2 - 7*r + 3. Let l be d(1). Find the third derivative of -47*s**5 + 87*s**5 + 19*s**3 + l*s**3 - 42*s**5 + 43*s**2 wrt s.\nAnswer: -120*s**2 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + u - u)*(2 - 2 + 1) + (92 - 92 + 6*u**2)*(-39 - 8 - 6)*(3 - 2 - 2).\nAnswer: 319*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17620 rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485501995.\nAnswer: 5, 11, 53, 151, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - v + 43 + 43 = 0, -5*j - 4*v = 228. Let t = 22 + j. Let s = -2 - t. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 123.195 or 1428?\nAnswer: 1428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -287 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2948 and 134.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -11*y**3 + 2*y**2 + 2*y - 3. Let r be i(2). Let m = 5196 + -5273. Is m smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-4) - 3) + 4. Solve 3*q = j*x + 2*q + 3, -17 = 4*x + 3*q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**5\/60 - u**4\/24 + u**3\/6 + 2*u**2. Let g be b(0). Solve -g = 2*s + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - sqrt(204)*-2)*-5 - (sqrt(204)*2 + sqrt(204))*-3)\/(sqrt(1200)*3*-2).\nAnswer: sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 200533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - u + 42 = -0*u, 5*u = -4*l - 112. Let h = -15 - l. Suppose 43 = 3*w - h. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 take away -215808.7903?\nAnswer: 215909.7903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty ninths of a week in minutes?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(4131)*2 + sqrt(4131) + sqrt(4131) + (2*sqrt(4131) + sqrt(4131))*1)\/(((-1*sqrt(432) - sqrt(432)) + (sqrt(60)\/sqrt(5) - sqrt(3)))*-5).\nAnswer: 63*sqrt(17)\/115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l**2 - 11*l - 22. Let z(s) = -13*s**2 - 32*s - 64. Let g(h) = -17*c(h) + 6*z(h). Let m(j) = -6*j**2 + 4*j + 9. Determine 5*g(q) + 6*m(q).\nAnswer: -q**2 - q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (164\/(-42) + 4)\/(((-726)\/(-616))\/11).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from {d: 1, y: 4, w: 3, e: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 10*p**3 - 31*p**2 + 19*p**2 + p + p = 0.\nAnswer: 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + 17. Let m = z + 27.4. Let l = 3.4 + -0.4. Sort l, m, -0.1.\nAnswer: -0.1, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (0 - -2 - (-99 - -86))) + -41.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 280 = 3*v - 8*v, -4*x = -3*v + 176. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -110*x - 12. Let l(f) = 129*f + 13. Let r(c) = 6*h(c) + 5*l(c). Let k(i) = -15*i - 6. Give 5*k(t) - 4*r(t).\nAnswer: -15*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73927860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6637811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 126 = 19*b. Solve 5*h + 19 = 4*g + 4, -3*h = 5*g + b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 11. Let v(m) = -1. Suppose 26 = 13*b - 26. What is b*v(k) + n(k)?\nAnswer: -k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v + 281 = 4*s, -5*v + 440 = s. Is 6\/3 + v\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2951 = 11*p - 437. Let j = -53733\/8 + 6729. Find the common denominator of ((-3906)\/p + 14)*(0 + 2) and j.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0156 + -20.7156. Let b = 20.833 + z. Let j = -0.056 + b. Round j to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 56 = 2*d, 71 = -5*l - 3*d + 3. Let g(a) be the first derivative of -3*a**2 - 36*a + 47. What is the tens digit of g(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (94*230\/8)\/((-2)\/(-16)). Suppose h - 4852 = 4*r. Suppose 0*a = 3*a + 12, u - 2*a = -r. Round u to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143142.\nAnswer: 2, 3, 23857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, f: 4}. What is prob of sequence ffee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**3 + 16*f - 6. Is 7 a factor of z(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 1. Let m(v) = -140*v - 1. Is m(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161639820 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228875?\nAnswer: 5, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**4\/12 - 38*w**3 - 7039*w**2\/2 + 122*w + 4. What is the derivative of c(s) wrt s?\nAnswer: 2*s - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 10*s + 20. Suppose 4*x + 33 = -7. What is the lowest common multiple of 4 and w(x)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4486?\nAnswer: 2, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -461*t**2 - 778*t + 280. Calculate b(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2404155444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by 17452.\nAnswer: 45\/17452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/2)\/((-4)\/(-1)). Let n = 9 + -8.8. What is the closest to 2 in 0.4, n, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23914333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 9. Let n(f) = -f**2 - f + 8. Let x(p) = 3*c(p) - 4*n(p). Let q be x(-5). Solve -a - a - 8 = q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 197 + -198. Let o = -0.01 - 3.99. What is the nearest to -1 in o, g, 2\/15?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-86961090\nAnswer: 34784436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*d**2*j*w - 3294*d**2*j + 1639*d*j*w + d*j + j + 3 wrt d.\nAnswer: 8*j*w - 6588*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -9\/335?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(6480\/(-234))*-10.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11189 + -10939. Calculate the remainder when 768 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -793*a - 556*a + 2812*a - 655*a - 463*a.\nAnswer: 345*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1357926*w**3 - 242081*w wrt w.\nAnswer: 8147556*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*u**3 - u**2 - 13 - 2*u + 15 + 2*u**3 - u**2 to the form q*u + x + j*u**3 + v*u**2 and give j.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = s - 26, -3*p + 8*p + 5*s = 40. Suppose z = p*z. Suppose 0 = 3*m + d - 31, z*m - 3*m - 4*d + 34 = 0. Solve -4*l + m = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*z + 109*z - 207*z - 11*z**2.\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 0)\/(0 + -1 + -1). Suppose -5*p - 2 - 3 = f. Put -5, 2, p, 6 in ascending order.\nAnswer: -5, p, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 662*f - 6711. Determine d(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8bb - -33a?\nAnswer: c17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6218693495 to four dps.\nAnswer: 1.6219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1886310 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22710, -22708, -22704, -22698?\n\"Answer: m**2 - m - 22710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7\/597 - -391\/597. What is the second smallest value in 1\/6, r, -1\/13?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*p + p - 508943 = 420793. What is the highest common divisor of p and 698?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 20*c**2 + 20*c - 1. Let n(b) = 6*b**2 + b - 1. What is -2*n(s) + q(s)?\nAnswer: 8*s**2 + 18*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 77 = -b, -y + 3*b - 120 = -4*y. Suppose -13*k + y = -0. Solve -3*t - a = -8*t + 18, 0 = 2*t + k*a + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25720971 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h**3 + 138*h**2 + 8*h - 98. Calculate the remainder when 769 is divided by d(23).\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39413.\nAnswer: 11, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-20))\/((-1)\/(-5)). Find the second derivative of 3*o**2 - 5*o + o**l + 2*o**2 - 2*o**2 wrt o.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-15) + 1715\/75 - (-517 - -503)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -3 (b) 13\/11 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a + 16 + 20 + 20 - 58. Let d(k) = -370 + 5*k + 185 + 184. What is -4*d(j) + 3*r(j)?\nAnswer: -5*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*w - 56*w + 840 = 0. Is -51\/10 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -100336?\nAnswer: 100337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/8920 and 61\/169480.\nAnswer: 169480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 + 133*(4 + -25180). What is b rounded to the nearest one hundred thousand?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -27. Let t = -2 - -4. What is the third smallest value in 2\/5, j, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 11581*g**5\/20 - 2*g**3\/3 + 71*g**2\/2 - 294*g - 2. What is the second derivative of a(p) wrt p?\nAnswer: 69486*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28.95 - -32.6. Let s = -0.73 + a. What is s rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 760\/(-32) - (-2)\/8 and -63\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*d + 251*d = -2. Let t be d\/6 - (-697)\/246. Solve 4*m + 0*l + t*l = -11, 2*m - l + 3 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.034 or -2?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 228320170 and 260?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 11) in base 16?\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 17 = 5*n. Suppose 5*l + 3*s + 6 + 6 = 0, 0 = -l - n*s. Let t = -318 + 319. Which is the second smallest value? (a) l (b) 0.7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 107*a - 107*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 64*(-9)\/(-72) + -24\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11637 + -11625. Solve n = -11*n - z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/66 - (-218)\/(-6). Let i = 41 + j. Let z be ((-2)\/i)\/((-6)\/9). Which is the second smallest value? (a) 0 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -12*f**3 - f**2 - 2*f - 2. Is p(-1) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266812?\nAnswer: 2, 7, 13, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-9))\/(16\/(-6)). Let q = 2869.97 - 2870. What is the closest to 2\/7 in q, -1, -0.5, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**2 + 54*n + 1207. List the prime factors of g(-62).\nAnswer: 3, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2514624, -5029235, -7543832, -10058415, -12572984, -15087539?\n\"Answer: 7*p**2 - 2514632*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(0 + 0 + 2*v) + v - 4*v + 4*v + 258 + 299 - 533 - 24*v.\nAnswer: -25*v + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 2*d - 31, 6*p + 5*d = 8*p + 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5 - 286*h**4 + 2654*h**3 + 88164*h**2 - 183141*h + 92610 = 0 for h.\nAnswer: -294, -15, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 7*l**4\/6 + 7*l**2\/2 + 6*l - 22. Let u(v) be the first derivative of s(v). Find the first derivative of u(k) wrt k.\nAnswer: 28*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32511 - -55256. What are the prime factors of p?\nAnswer: 5, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 555589*-0.4\nAnswer: -222235.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4172e4 (base 15) to base 10.\nAnswer: 3112414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 3129, -4\/13, 3, -2, -0.3, 664?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(2\/5)*d))\/d**(7\/3)*(d\/(d\/d**0))**(-11))**(-2\/59) assuming d is positive.\nAnswer: d**(82\/885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, j: 2, v: 2, n: 3}. What is prob of sequence jr?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7088*l**3 - 41*l**2 - 78*l + 2. Is k(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -219, 13, -48, -5 in ascending order.\nAnswer: -219, -48, -5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/2574 + (-4)\/26\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8151 and 85709?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i**27\/i)\/i)\/i)\/i*i)\/i**(-25) assuming i is positive.\nAnswer: i**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 6 - 6. Solve y = -4*j - 14 + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 4*s + 12, -118*s + 115*s - 2*h - 4 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6805*x**2 - 6*x - 709. Let r(s) = 81660*s**2 + 75*s + 8510. Let n(z) = -25*g(z) - 2*r(z). What is the derivative of n(q) wrt q?\nAnswer: 13610*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 5*w - 117 = -100, 0 = 23*w + 92 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 147, 2, -4, -5, 4 in increasing order.\nAnswer: -5, -4, 2, 4, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -66 divided by 6\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -247.19 plus 2?\nAnswer: -245.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -2\/3, -15, 4, 1\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*r = -45*r - 412 + 494. Let p(s) = 15*s**2 + s - 2. Give p(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**3 - 2*f**2 + 5*f - 13. Let i be k(-6). Let j = i + 236. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4 + 4*y**3 + 22*y**2 - 24*y = 0 for y.\nAnswer: -3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2 + 2*p + 4. Let u(d) = 2*d + 25. Let z be u(-11). Suppose -2*v = -2*b + 5*b - 9, -3*b - z*v + 9 = 0. What are the prime factors of r(b)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-1)\/(-4)*3\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.59 + -0.39. Sort 5, x, -3.\nAnswer: -3, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 711 (base 16) to base 3.\nAnswer: 2111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 3\/8, -2, 1.02, 6\/11, 2\/9?\nAnswer: 1.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*i**5*r + 3346*i**4*r + 3*i*r - 85*r + 3 wrt i?\nAnswer: 220*i**3*r + 40152*i**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -1\/12 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533802?\nAnswer: 2, 3, 43, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 511501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 236 - 251 = 0, 2*w + 136705 = 5*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -111 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 10:16 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-1)\/(11\/33)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-540)\/16)\/9 - 0)*-4. Let d be (-23759992)\/(-7 + y) + -1. Round d to the nearest one hundred thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17854\/5, 4\/3, 2\/5, 1, 2, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-756)*9)\/(2\/2).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 4*p + 3. Let r be d(2). Let n be -2*(0 - r)*-1. Solve l - m + 10 = 3*m, -2 = n*l - 2*m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 5 + 59*m**2 - 72*m**2)*(-m**3 + 0*m**3 + 0*m**3).\nAnswer: 13*m**5 - 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28934 is divided by 1074.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*r + 1465 - 2661 = -9303 for r.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24 (b) 4\/13 (c) -6\/1553 (d) 4 (e) -1 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0529 and -0.12.\nAnswer: 0.006348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2337 + 2421. Solve -2*k + t = 86 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 1, 5*q = q - g + 7. Let c(u) = -2*u + 2. Let h be c(-3). Suppose 56 - h = q*y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -96941832*l - 431546693.\nAnswer: -96941832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001564 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-112))\/((-56)\/(-14))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1914830 divided by 419?\nAnswer: -4570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19848935.\nAnswer: 5, 3969787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13294 from -17.\nAnswer: -13311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3114?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03746 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 6 = 22. Let f(t) = 3 + 24*t**3 - 23*t**3 - 6*t**n - 4 + 3*t**2 - 4*t. Determine f(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -374620, -749226, -1123810, -1498360, -1872864?\nAnswer: -2247310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17, -56, -137, -278, -497?\n\"Answer: -3*q**3 - 3*q**2 - 9*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 5*w + 3*t, -2*t + 22 = 5*w - 88. Suppose -w*s + 29*s = -9. Sort -0.04, s, 1.\nAnswer: s, -0.04, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1148, 2289, 3424, 4553, 5676, 6793?\n\"Answer: -3*q**2 + 1150*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j + 88. Let c be n(35). Suppose 0 = -164*a + c*a + 90. What is the remainder when a is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*p**3 - 243*c**3*p**2 - 873*c**2*p**3 - 2*c**2*p + 2*p**2 wrt p?\nAnswer: 12*c**3 - 5238*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*o + 1 = 0, 5*v - 2*o = -0 + 8. Calculate the remainder when 6 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.9 + -17. Which is bigger: u or -4\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 + 20*q**2 - 476*q - 5150. Calculate o(-13).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59234829.\nAnswer: 3, 19744943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Express (n + 0*n - 3*n)*(n**2 + 2*n**2 - 4*n**2) - 10*n**3 - 348 + 348 in the form h + i*n + y*n**2 + p*n**3 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 27 = -3*w - a, 2*a - 18 = -3*w. Suppose 0 = -w*v - v + 125. Calculate the highest common factor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0*4\/((-12)\/(-1)))\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(16)\/sqrt(64)))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1365 + -2731\/2. Let t(b) = -7*b - 1. Let r be t(-1). Let g be 26\/r + 2\/3. What is the third biggest value in c, g, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15035.\nAnswer: 5, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4475977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10260.01 - -0.41.\nAnswer: -10259.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 176\/(-28) + (-4)\/(-14). Let m = -21597 + 21597.3. Which is the nearest to t? (a) m (b) -1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*w - 4*h, 66*w - 4*h = 62*w + 12 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56 - 10) + 45 - 36.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 1891360?\nAnswer: 1891360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h**3 + 3*h**2 - h - 1. Let v be t(2). Let d(r) = -2*r + 1. Let i be d(-3). Let f be i*3\/(0 + 3). What is the greatest common factor of v and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202012032 (base 4) to base 6.\nAnswer: -2554330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2663 is divided by 1323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 31 = 53. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, e: 8, x: 2, j: 6}. What is prob of picking 1 x and 1 m?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 12:09 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**6\/120 - 7*h**5\/60 + h**4\/4 + h**3\/6 + 11*h**2. Let g be v(6). What is the third smallest value in g, 3, 3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2815 - 8444\/3. Which is smaller: b or -1.35?\nAnswer: -1.35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 112*l**2 - 2851*l - 188. Determine d(-39).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -139\/7. Which is the nearest to -2? (a) -3 (b) m (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8052709.7583 - 8053185.75830493. Let d = 476 + p. What is d rounded to seven decimal places?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 321706 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 15*h**2 + 3*h - 6. Let m(t) = 44*t**2 + 9*t - 17. Let u(l) = 6*m(l) - 17*v(l). Find the second derivative of u(j) wrt j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -1\/6*o**3 + 1\/24*o**4 + 0*o**2 + 0 - 6*o. Suppose w(l) = 0. What is l?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/203503?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 + 9 = -5*r. Let g(h) = h**3 + 13*h**2 - 15*h - 9. Let n be g(r). Solve n*y - 5 = d, -2*y - 10 = -5*d + 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 27*a - 117. Let x be s(-18). Suppose x*h - 48*h + 2613 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f*f*f**(-5\/3)*f*f)\/f**(1\/10))\/(f*f*f*f\/(f**1*f))**(2\/11) assuming f is positive.\nAnswer: f**(1607\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 566.9459 centimeters in meters?\nAnswer: 5.669459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -190*s**3 - 4*s**2 - 25*s - 3. List the prime factors of y(-3).\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1768*z**3 + z**2 + z - 3. Is s(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 - (-6 - (-66)\/11) and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140674920 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8*k**2 + 60*k + 251. Let f be i(-4). Solve 23*n + 24 = f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -2 + 1\/5*l**2 + 0*l - 2\/15*l**3. Factor g(d).\nAnswer: -2*d*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -5 (b) -0.4 (c) -1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -340*c. Let a(y) = -200102*y - 2. What is a(d(o))?\nAnswer: 68034680*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11608489973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 2 = -2*s, -20 - 11 - 57 = 39*p + 2*s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4116693 centuries in years?\nAnswer: 41.16693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1868, 3716, 5564, 7412?\nAnswer: 9260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -131 + 134. Let k be d*(-4)\/6*-12. Suppose j - k = -0*j + 3*h, 0 = -5*j - h + 56. Is j at least as big as 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -4*z + 8*z. Suppose 3*t - 16 + 1 = 0. Suppose j - 4*j = -12, j - 24 = -t*m. Solve -a = -m + z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12165.\nAnswer: 3, 5, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/5658 and -26\/3.\nAnswer: 5658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 25 = -c, -3*d - 22 = -2*c + 33. Suppose 0 = -7*y + 2*y + c. Let k = 1 + y. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00025109 to six decimal places.\nAnswer: 0.000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 34*p**2 + 50*p - 1864. What is f(34)?\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1531, -12256, -41219, -97492, -190147, -328256, -520891, -777124?\n\"Answer: -1512*n**3 - 47*n**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1398 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: Factor 4*m**2\/5 + 2564*m\/5 - 648208.\nAnswer: 4*(m - 635)*(m + 1276)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-1\/4)))**7\/((((t*t**(3\/4)\/t)\/t)\/t)\/(t\/(t*t\/(t\/t**(-1))))) assuming t is positive.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 566.6767ng in tonnes?\nAnswer: 0.0000000000005666767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -78366270 divided by 1\nAnswer: -78366270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -445369.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*p - 4*f = -42*p + 52, 37*p - 5*f = 65. Let g = -2367 - -42581\/18. Which is greater: p or g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x + 1. Suppose -5*u + 15*u = 80. Let i be (-4)\/(-6) - u\/(-6). Give m(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11404 + -2?\nAnswer: -11411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*o - 15, -3*o - 4*l + 6 = -2. Sort 2\/13, 3, o, -4 in descending order.\nAnswer: o, 3, 2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34.12 + -90.12. Which is the third smallest value? (a) -13 (b) -3\/8 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -482, -1990, -4494, -7988, -12466, -17922, -24350?\n\"Answer: m**3 - 504*m**2 - 3*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k + 0*k + k + 5*k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6743 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2266.271*-0.31.\nAnswer: -702.54401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17114879 * -0.18.\nAnswer: 3080678.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1010.5 - 1010.35463. What is f rounded to 3 dps?\nAnswer: 0.145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d. Let t(v) = -3*v - 5. Let y(c) = 6*c + 1. Let o(x) = -5*x - 2. Let p(z) = 3*o(z) + 2*y(z). Let i(q) = -5*p(q) + 4*t(q). Calculate w(i(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, x: 2, e: 8, y: 1, t: 2}. What is prob of sequence vxt?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4\/2 - 168265*w**3 - 2829459200*w**2 + 62329569280*w.\nAnswer: -5*w*(w - 22)*(w + 33664)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -13457 at least as big as -1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70307.\nAnswer: 167, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12810 + -108?\nAnswer: 12701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -248 (base 10) to base 2\nAnswer: -11111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 23*z**3\/3 - 11*z**2\/2 - 23*z + 9. Let r(h) = -8*h**2 + 4*h + 8. What is 6*n(u) + 17*r(u)?\nAnswer: 2*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 577439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(-7)\/((-1540)\/8). Which is the closest to 0? (a) g (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 2*v**2 + 6*v - 3. Is d(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -q + 4*w, 2*w + 1 = -q + w. Let x be (10\/(-25))\/(q\/60). Solve 4*y + 20 = -x*u + 3*u, y = u - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - ((-4 - 25) + -34).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -618208*l**3 - 12*l**2 + 1 - 23*l - 1 + 23*l**5 + 618212*l**3 wrt l.\nAnswer: 1380*l**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2415400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2111955, -2111970, -2111985, -2112000, -2112015, -2112030?\n\"Answer: -15*i - 2111940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/15*-1*-9. Solve 0 = -4*m - 3*v - v, s = 3*v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 354.62 - 348. Round u to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/244200 and -143\/234210.\nAnswer: 51526200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*d - d - 2*r, -4*d + 2*r + 48 = 0. Let q = -84 - -75. Let l = q + d. Solve -l*z = -7*z + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 12 + 37 = 0. Let a(w) = 16*w**3 - 5*w**2 - 4*w**3 - 7*w + 2 - 6*w**3 - 7*w**3. Calculate the remainder when a(u) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 8. Let a = u + 39. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 7*o - 18. Let p be m(9). What is the common denominator of 36\/5 and p + -4 - 340\/(-55)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4548671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -120 (b) 1\/6 (c) -2 (d) -4 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1123.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-10))\/((-3)\/(-10)). Let c be 9\/4 + (-3)\/12. Suppose c*s = l - 0*l - 8, -s - 4*l = 4. What is the third biggest value in p, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 29007486.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20395 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11626121707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -9\/10 (b) -1.33 (c) -0.4 (d) -3 (e) 1 (f) 4 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92 + -88. Suppose 2425 = c*v - 1059. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 22)*725\/(-20). Let w = b - -7838\/9. Solve 0*r**2 - 2\/9 - w*r**3 + 2\/3*r = 0 for r.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 11:53 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 35 + 30 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -13770 in increasing order.\nAnswer: -13770, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**5\/60 + 11*d**4\/8 + 57*d**3\/2 + 15*d**2 + 3*d - 4. Determine n(-26).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 21. Suppose 4*p = m + 8. Are 4 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -24.47545.\nAnswer: 4.89509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 347512, 695024, 1042536?\n\"Answer: 347512*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83.19 - -0.81. Let i = s - 115. Is 2 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d (base 16) in base 13?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 226 + -224. Solve -9 + 4 = i, j*i = -o - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 658 divided by -7\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - x + 5. Let u(t) = 3*t - 14. Let m be u(5). Let o(n) = -6. Let y(v) = -7. Let q(p) = 6*o(p) - 5*y(p). Give m*z(d) + 5*q(d).\nAnswer: -d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 166 and 13660555?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270\/33 + -8 - (-100)\/55.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 214 - 31. Suppose 5*q - c - 3 = 3*p, -5*p = q - 26. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 10:55 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5327, 21332, 48007, 85352, 133367?\nAnswer: 192052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 70\/6 + 2\/(-3). Let l = k + -39\/4. Let r = 3.31 + -3.31. Put l, r, -2\/13 in decreasing order.\nAnswer: l, r, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*h*m + 7*h - 105646*m - 10968 wrt m.\nAnswer: 3*h - 105646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 158997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 4\/(8\/(-6)). Suppose -p*g + 16 - 1 = 0. Suppose 4*a + g = 17. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -493 and -494 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7557023 - 1?\nAnswer: 7557022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccicccicciiic. What is prob of picking 2 c?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -134849?\nAnswer: 13484f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -26. Let s = 10 + d. What is the closest to -1 in 2\/11, s, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -25*l**3 - l + 1. Let m be i(1). Let q = m + 37. Calculate the highest common factor of q and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16954 + 17142. Calculate the remainder when j is divided by 78.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4896*t**2 + 1478*t**2 - 2*t + 11122*t**2 - 749*t**2.\nAnswer: 16747*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 117203995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2. Let j(o) = 8*o**2 - 27*o. Determine z(j(q)).\nAnswer: -64*q**4 + 432*q**3 - 729*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*l*u**3*v**3 - 59*l*u**2*v + 7*l*v**3 + l*v**2 - 2*u**3*v - 2*u*v**2 wrt v?\nAnswer: -138*l*u**3 + 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 904338 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 404*w**3*x + 45*w**3 - 2*w**2*x + 2*w**2 - 6*w*x - 75*w - 171*x + 1 wrt w.\nAnswer: 2424*w*x + 270*w - 4*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 2*y + 11, 5*k = 4*k + y + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (32\/(-12))\/(1 - 3074\/3072). Suppose 2*s = -j - 29074. Let z = s - -4785. Round z to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12260 = -552*i - 740*i - 30348 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/120*(-13)\/((-117)\/(-30)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 2202?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -v + 5*j, -v + 3*j + 27 = 3*v. Suppose x = v*x + 30. Find the common denominator of 2\/x*(3 + 34) and -2\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 9 + 9 = -3*x, -5*k - 17 = 2*x. Let g be (12\/4)\/k*-4. Suppose -4*j + 0 = g. Which is smaller: -8\/5 or j?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*h + 1 - 45*h + 8*h**3 in the form i*h**2 + k + u*h + l*h**3 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 43 - 844254\/19669.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -13*b. Let a(p) = -p**2 + p - 1. Let n(u) = 669*u + 5 - 11*u**2 + 29*u**2 - 674*u. Let r(q) = 5*a(q) + n(q). Give v(r(t)).\nAnswer: -169*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 401092 divided by 32.\nAnswer: 100273\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -156.7 - -149. Let x = n + 13.8. Let y = x + -6. What is the closest to -2 in y, 2\/3, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.729736 meters to micrometers.\nAnswer: 8729736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -178 - -313. What is the remainder when l is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 3463*t - 24349. Determine m(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**2 - 6*l + 3. Let g be p(8). Calculate the greatest common divisor of 25 and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - s + 3 = 0, -d - s - 6 = -3*s. Factor 0*x + 4\/3*x**2 + 2*x**3 + 2\/3*x**4 + d.\nAnswer: 2*x**2*(x + 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6430 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 5*y + 249, 2*p + 380777*y - 380779*y = 90 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 + -26. Suppose -b + 7 = -3*x - a, b - 2*x = 16. Suppose 5*n - 80 = b*r - r, -5*r = -3*n + 52. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 12:31 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 456793 and 1081?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*g + 19. Suppose g = -2*m - 2*f - 2*f, m + 3*f + 13 = 0. What is the second derivative of 2605*j**m - 6*j - 2605*j**2 - 23*j**3 wrt j?\nAnswer: -138*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*h + 37, -j = 4*h - 4*j + 22. Let p = 9 + h. What is the derivative of 5*g - 4*g + 2*g**2 + p - g wrt g?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, 1\/5, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -43 and -4.49.\nAnswer: -47.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201 divided by 3996?\nAnswer: 2201\/3996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3649 and 1722.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -30 - (46 + 0 + -40)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**8\/6720 + n**6\/720 + n**4\/12 - 3*n. Let m(b) be the third derivative of g(b). Find the second derivative of m(o) wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/5 - ((-146)\/(-10))\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3642659mg to nanograms.\nAnswer: 364265.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -17*f**3 + 2*f**2 - 2*f + 4. Let q(t) = 52*t**3 - 7*t**2 + 7*t - 13. What is 7*m(w) + 2*q(w)?\nAnswer: -15*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 709844630 or 1419689259\/2?\nAnswer: 1419689259\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -1822*i + 5. Let g(b) = -b - 64. What is g(k(d))?\nAnswer: 1822*d - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 37*u**2 + 3020*u - 10576. What is r(-85)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 m when two letters picked without replacement from {n: 11, b: 1, m: 1, f: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/(-20) + 0)*(-10)\/(-6). Solve l + n = 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -2, -27, 12, 4 in ascending order.\nAnswer: -27, -5, -2, 0, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 5:12 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6461080 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9684925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 520.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*x + 1100 = -185*x + 68 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2294972430?\nAnswer: 2, 3, 5, 23, 3326047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002421 rounded to 4 dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/(-30))\/(1\/10). Is (o\/5)\/((-8)\/(-500)) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -32*o + 2\/3*o**3 + 6*o**2 + 23. Factor x(a).\nAnswer: 2*(a - 2)*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**5 + 15973*n**4 - 5*n**3 + 240296*n**2?\nAnswer: 60*n**2 + 383352*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3486 (base 9) to base 12.\nAnswer: -15b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*a + 10, -7 = -3*a + q + 13. Suppose 2*j - 5*o = -20 - 9, -j - a*o = -23. Calculate the common denominator of ((-2)\/(-20))\/(j\/82) and 50\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2737 = -3*x + w, 4*w + 1838 = -2*x. Let t = 1556 + x. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-12)\/70)*246\/410.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -1. Let u be (-6)\/(-14) + (-42)\/98. Let a be 1 + u - (-12)\/4. Solve -a*q - o = -2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 8) to base 3.\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*v - 273*v - 158*v - 146*v in the form x + t*v and give t.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 13)*(1 + 2 - 1)*(-2*p**2 + 5*p**2 + 3*p**2).\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6293225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 8) to base 2\nAnswer: -1001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0611 - 0.5611. Let w = 1.2 - 0.2. Let c be 48\/(-10) + 4\/5. What is the closest to w in 1, o, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 363 = -18. Let k(y) = 47*y - 847. Suppose -6*z - 19 = -7*z. Let l be k(z). Calculate the greatest common factor of l and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-4))\/(8\/(-32)). Let m(h) = -2*h**3 - 2*h**2 + h + 3. Let i be m(t). Let v(b) = -b**2 + 8*b + 12. Let q be v(i). Solve 0 = 6*n - 3*n - q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {l: 1, t: 1, v: 1, r: 1, h: 3, q: 11}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 0.251, -3, 1, 45?\nAnswer: 0.251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 177 + -399. Let h = m + 217. Sort 2\/3, 7, h.\nAnswer: h, 2\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/9 (b) 101\/4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 q when three letters picked without replacement from dqxjq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32942?\nAnswer: 2, 7, 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 15*m - 15. Let p(c) = 2. Let d(l) = -a(l) - 3*p(l). Suppose 0 = -u - 3 - 2. What are the prime factors of d(u)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 68. Let m = j + 24. Which is greater: m or -0.17?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40734 + 2*n - 20301 - 20433.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 11:10 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24683.\nAnswer: 24683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 1106*i + 126. Let v(p) = -553*p + 54. Let u(z) = -3*d(z) + 7*v(z). Let t(s) = -s**2. Determine u(t(j)).\nAnswer: -3*j**4 + 553*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(896))\/(-5*sqrt(112)) + (0 + sqrt(14)\/sqrt(175))**2*6.\nAnswer: 12\/25 + 4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (-42 + (30 - 1))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i - 6. Let p be d(4). Suppose -q - 14 + 32 = -4*m, 2*m - 5*q = 0. Let c = 6 + -10. Sort -2, m, p, c in increasing order.\nAnswer: m, c, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 286773332?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*z - 46434 = 25*z - 43634 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i + 13 = 4*i. Let d = i + 5. Solve l - 31 = -5*g - l, -d*l + 12 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104 - 16 - (22 - (52 + -25))\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5738*b**2 + 19*b**4 - 145 + 293 - 16*b**4 - 146 as h*b**3 + p*b**4 + t + i*b**2 + x*b and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 9*q + 6. Determine o(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194549070 is divided by 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r. Let m(b) = -54493*b**2 - 15*b. Determine m(y(w)).\nAnswer: -217972*w**2 - 30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17588449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.3 - -8.8. Which is the second biggest value? (a) l (b) 1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 48 = t. Let r = 3193 - 3189. Solve 0 = -r*j + t*j + 32 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 2*n**2 - 4 - 5*n**2 + 5 + n. Let q(u) = 2*u**3 + 22*u**2 + u + 14. Calculate the remainder when i(3) is divided by q(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10020021 (base 3) in base 4?\nAnswer: 210310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-9))\/((-4)\/18). Suppose -6*v = -5*v - j. Suppose -v*g = -7*g + 316. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -262.541 and -1.4.\nAnswer: 367.5574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*x - 4 - 13 = 0, x = -5*g + 65. What is 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 (1\/(-119))\/(210\/(-1785))*(-76)\/(-2)?\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.2, 85, 0.3, 2.5, 5, -8 in increasing order.\nAnswer: -8, -4, -0.2, 0.3, 2.5, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**3 - 5*g**2 - 5*g. Suppose 0 = -4*z + 3 - 11. Let b be z + 0 - (0 - 3). Let m(o) = -o**3 - o**2 - o. Calculate b*l(r) - 3*m(r).\nAnswer: -r**3 - 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 21*w**2 - 45*w**2 + 21*w**2 - 4. Let z(b) = -5*b**2 + b - 7. Give -7*o(h) + 4*z(h).\nAnswer: h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.218 times 4?\nAnswer: -0.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2122 + -2121.07136. What is r rounded to 2 decimal places?\nAnswer: 0.93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7483324 years in centuries?\nAnswer: 0.007483324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 5*p - 3. Let o be k(-5). Let m = o + 4. What is the remainder when 26 is divided by (-3 + m)*(-18)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (1 + 1 + 1). Let p = 30.613 + 0.187. Let x = p - 31. Is x smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d + 3 - 3)*(-7*d + 41*d**2 - 37*d**2 - 5*d) as t + j*d**3 + o*d + b*d**2 and give b.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-5)*32515\/(-2787)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1104348 and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-8\/5)*w**(-2)\/w assuming w is positive.\nAnswer: w**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**2*h - 462475*f**2*t - 12236*f*h*t - 138*h wrt f?\nAnswer: 4*h - 924950*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*7\/((-21)\/6). Solve a + 5*g = -11, g - 2*g = -x*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 316624164 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w. Suppose -4*i - 4*p - 8 = 0, 0*p = 3*i - 5*p + 6. Let v be y(i). Solve -v*h + 2*u + 3*u + 29 = 0, -2*h = 2*u + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(832) + -1)**2 + -2.\nAnswer: -16*sqrt(13) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 79\/1422*((-15)\/(-1) - 0).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*r - 23355 + 23131 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttqtuuxoooutou. What is prob of picking 1 x, 1 u, and 2 o?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(325) - (4 + (-1*sqrt(325) - sqrt(325)))) + 3))**2.\nAnswer: -750*sqrt(13) + 73150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-98))\/((-102)\/(-714))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3255534, 6511107, 9766682, 13022259, 16277838, 19533419, 22789002?\nAnswer: 26044587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81646421 is divided by 13278.\nAnswer: 13277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11732278 to the power of 1\/3, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(4) + sqrt(36) - sqrt(4))*-3)\/(sqrt(18)\/(-6*sqrt(144))))**2.\nAnswer: 839808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -1053*t - 2009. What is the least common multiple of w(-3) and 2645?\nAnswer: 26450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**4\/13 + 250*q**3\/13 + 736*q**2\/13 + 488*q\/13 = 0.\nAnswer: -122, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 947993?\nAnswer: 389, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54546564 is divided by 65.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a**6 - 2*a**5 - 11753*a**3 + 15*a**2 + 1472*a + 2 wrt a?\nAnswer: -480*a**3 - 120*a**2 - 70518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c = -40. Let j = 61 - 52. Suppose -16 - j = -5*y. Solve z - y*h = -c - 0, 5*h = -z + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - w - 14 = 0, -2*s = -4*w - 7 + 23. Let o be (-27)\/(-18)*(-32)\/(-6). What are the prime factors of (-2)\/o - 507\/s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -55*o**2 - 29*o - 26. Let b be w(-14). What is b rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*u - 252*u + 154*u + 114*u.\nAnswer: 146*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000067531 rounded to 7 decimal places?\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -263?\nAnswer: 26.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/67)*p*p**(4\/11))\/((p\/(p**(-4)*p))\/p*p**(6\/17)) assuming p is positive.\nAnswer: p**(-25298\/12529)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -561, -4459, -15043, -35655, -69637, -120331, -191079?\nAnswer: -285223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1656037, 6624148, 14904333, 26496592, 41400925, 59617332?\n\"Answer: 1656037*f**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9440, -37684, -84742, -150602, -235252, -338680, -460874?\n\"Answer: 2*r**3 - 9419*r**2 - r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a millimeter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-26)\/16 + 2 + (-8391)\/(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*t + 183*t = -692916. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 11*x**2 - 60*x + 29. What is g(15)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54914 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4*-2)\/(4\/(-20))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 236183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468*o - 33301 - 4537 - 13174 = -186*o for o.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31993?\nAnswer: 13, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-58)\/16)\/((-1)\/2) and ((-429)\/(-286))\/(27\/(-83)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*(-1 + sqrt(2736)).\nAnswer: -6 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 8:13 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -292153798*v**3*y**2 - 7*v**3*y - v**3 + 2966706 wrt y.\nAnswer: -584307596*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) 3\/5 (c) 5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d**2 + d**2 + 9*d + 2*d**2 + 3*d wrt d.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2329, -4653, -6973, -9289, -11601?\nAnswer: -13909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6011, -6093, -6175?\nAnswer: -6257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49702246?\nAnswer: 2, 11, 487, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24034\/15 or 1601?\nAnswer: 1601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7020 divided by 4.\nAnswer: -1755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.203 and 0.4.\nAnswer: 0.0812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.09 - -5.91. Let u = s - 5.7. Let i = 3\/1094 - 2197\/3282. Sort -2\/13, i, u, 2\/13 in ascending order.\nAnswer: i, -2\/13, 2\/13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 2*r + 8. Let i(u) = 8*u**2 - u. What is the remainder when t(0) is divided by i(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + 1*sqrt(24)*-4)\/(((sqrt(20) - sqrt(160)\/(5*sqrt(8))) + sqrt(20))\/sqrt(10)).\nAnswer: -10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/(-130))\/((-6)\/45)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2292 at least -0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.747 to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.554695 weeks in hours?\nAnswer: 1605.18876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*6\/(-324))\/((-327)\/(-36) + -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/28 + 4\/(-14). Suppose -2*p + p = y. Suppose -3*n - 5*k + 55 = p, -5*k - 18 = -4*n - 3. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**3 + 1885*o**2 - 5*o - 205488 with respect to o.\nAnswer: 3*o**2 + 3770*o - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkknkkkkkkkkkkkkn. Give prob of sequence nnk.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 - 191 = -5*m. Suppose m*p - 18 = 24*p. What is the derivative of -1 + p - 8 + 8 + 11*n**2 wrt n?\nAnswer: 22*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*d - 679 = 607 - 470 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 6*f + 7. Let v be n(3). What is the smallest value in v, 0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 7*k**2. Let g(f) = -f - 13. What is m(g(r))?\nAnswer: 7*r**2 + 182*r + 1183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-38)\/12 + 2 - -1)*(-27 + 23). Which is the nearest to 0.1? (a) 0.7 (b) 4 (c) -40 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 + 3*w. Let u be i(-4). Suppose -u = -3*j + 6*j. What is the common denominator of 186\/j*6\/(-16) and -103\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 21*p - 14. Let v be z(9). What is the hundreds digit of ((-1060)\/(-25))\/(10\/v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -192422568 or -192422565?\nAnswer: -192422568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 1:34 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = t + 110. What is the smallest common multiple of t and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -2627645?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**3 - 6*f**2 - 2*f - 4. Let a be m(-4). What is the greatest common divisor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 350*p + p**3 - 350*p + 2*p**4 + 1 to v*p**4 + h + m*p**3 + g*p + r*p**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2397172.\nAnswer: 2, 229, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*q = -13, 0*q - 9 = -2*y - q. Suppose -2 = g - y. Find the third derivative of -4*u + 10*u - 6*u + 7*u**g - 11*u**3 wrt u.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 9:27 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-9 - -17)) + 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-4 - -6) + -9 - -10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 885*t + 2897 + 2071 = -342 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5417363671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1005766060 by -3.\nAnswer: 1005766060\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, a: 4, e: 3, f: 3, h: 2}. What is prob of picking 1 a and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g - 3*g + g**2 + (2*g - 7*g + 2 + 2*g)*(-g + 3*g + 0*g) to the form b*g + a*g**2 + x and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 1812 - 4812 = 0. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2591009?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 306?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19055 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(13) - sqrt(91)\/sqrt(28) - (sqrt(39)\/sqrt(3) + 5))**2*4.\nAnswer: 20*sqrt(13) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q + 5*f - 105 + 21 = 228, 2*q - 3*f = -2*q - 104 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 5\/(-3))*(-480)\/((-1000)\/(-25)). Let k(t) = -t**3 - 3*t**2 + 44*t + 11. Give k(q).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 113*g**2. Let n(w) = -w**2 - 50. Give f(n(t)).\nAnswer: 113*t**4 + 11300*t**2 + 282500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 i when three letters picked without replacement from ggibigiiiiwi?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 198863911 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x. Let h(n) = -5*n + 28. Let d(j) = h(j) + 6*p(j). Let l be d(-25). Suppose 2*w = -l*w + 45. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/((w\/((w*w*(w\/(w**(-9)*w))\/w)\/w))\/w))\/w)\/w)\/w**(2\/23)*(w\/(w\/w**0))**(-3\/13) assuming w is positive.\nAnswer: w**(205\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -105 divided by -59\nAnswer: 105\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -756 (b) 2814 (c) 3 (d) -4 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m + 30. Let j(o) = -o - 1. Let w(g) = -20*j(g) + x(g). What is the units digit of w(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54436.3 to the nearest 100.\nAnswer: -54400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*j + 829472 - 2307200. Is j a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4688332.\nAnswer: 2, 11, 127, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t - 3 + 4*t + 4*t)*(-164 + 378 + 298 + 127).\nAnswer: 1278*t - 1917","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29298 and 969?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o. Let q = 8 - -10. Let f = q + -13. Solve f*a + 11 - 36 = o, 2*a - 14 = 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2) - (-26)\/4. Suppose -32 = -4*p + a, 3*a = 3*p - 2*a - m. What is the remainder when p is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 6356945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*c + 2*f, 2*c + 8 = -f - 0*f. Let a be (36\/20 + c)\/(6\/15). What is the closest to -5 in a, 2\/7, -1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7791509 and 368869.\nAnswer: 2263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 5*y**2 - 7*y - 1. Let v(x) = -x**2 + 11*x - 12. Let a be v(8). Let z be a\/(-8)*6\/(-9). Suppose l + z = -5. What is f(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 8. Let o be x(10). Is 19 a factor of o\/(-5) - (-504)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -15. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 0*x + x)*(2*x**3 + 2 - 2)*(-6*x + 26*x + 15*x).\nAnswer: 140*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 7*s - 22. Suppose 3*f + 5*p + 18 = 6*f, -36 = -3*f - p. Let y be k(f). Solve 4*m - y = -2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 4. Let o be l(0). Suppose x = o*x. Let z be (5\/(-1))\/(2*60\/(-216)). Sort -4, x, z.\nAnswer: -4, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j - 3. Calculate the remainder when o(-3) is divided by -10*((-96)\/15 + 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -4 + 8 + -2 + -10 + -5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 + 6*n**3 - 3*n**3 + (-n - 5 + 5)*(-2*n + 11*n**2 + 2*n).\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9739297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjyanjnbjjjnnj. Give prob of picking 1 a and 1 y.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 187 and 87.5444003.\nAnswer: 274.5444003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (1 - (-68)\/(-20)). Is m at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**(-1\/4)\/m)\/m**(-2\/7))**(-1\/3))**(-41) assuming m is positive.\nAnswer: m**(1189\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10934?\nAnswer: 2, 7, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -474 divided by -2.\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10100 (base 2) to base 3\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r**2 + 0*r**2 + r**2)*(-16 + 29 - 8)*(0*r**2 + r**2 + 0*r**2) to the form y*r**4 + g*r + v*r**2 + u*r**3 + q and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3007\/(-186) - -49 - 33. Let q = 0.35 - 0.05. Let v(s) = -s + 3. Let i be v(2). Which is the smallest value? (a) t (b) i (c) -9\/2 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*m*r**3 - m*r + 8*m - 3965*r**5 - 4955*r**2 wrt r.\nAnswer: -36*m - 237900*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 3*t + 4. Let u be n(-4). Suppose 8 = -3*p - 4*d, -2*p - 5*d = -6*p - 21. Let b = 61.2 - 62.2. Put b, p, -3, u in decreasing order.\nAnswer: u, b, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3294 + 3547 - 3*q**2 + 2*q**2 to the form i*q + l*q**2 + x and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2627.12kg to grams.\nAnswer: 2627120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -125, -249, -373, -497, -621?\n\"Answer: -124*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i - 12. Suppose -6 = i*j - 33. Suppose -47 = -2*d + j. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8626881 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 17, 19, 21, 23?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 892 is divided by 192?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6439, -8320, -23079, -37838, -52597, -67356?\nAnswer: -82115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(120)*3)\/sqrt(8))\/((sqrt(180) - sqrt(180)*-1)*6).\nAnswer: sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12857558, -25715115, -38572672, -51430229, -64287786, -77145343?\nAnswer: -90002900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*v**2*w**2 - 33776*v*w**3 + 37*v*w - 3*w**3 - 2*w**2 + 4*w + 2348138 wrt v.\nAnswer: -6*v*w**2 - 33776*w**3 + 37*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 0*f**4 + 0*f**3 + 3*f**2 + 55*f + 0 - 3\/5*f**5. Let r(w) = 11*w**2. Determine m(r(p)).\nAnswer: -4356*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 5*p**2 + p - 3. Let o(l) = -l**3 + 6*l**2 - 2*l + 4. Let a be o(5). Let w be 5\/(-25) - a\/5. Calculate the least common multiple of 2 and f(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a. Let z(i) = -6*i. Let h(r) be the second derivative of -7*r**3\/6 + 2*r - 52. Let d(l) = -3*h(l) + 4*z(l). Give s(d(p)).\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 - -2 - -2 - 6. Let b(w) = -w**3 - 21*w**2 - 25*w - 17. Let y be b(-20). Let o = 82 - y. Put o, 2, k in ascending order.\nAnswer: k, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399608537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 11:52 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 3, 176, 40, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1459*v + 1462*v + 3 = 0, -v + 11 = -3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - (0 - -5))*25\/(-5). Suppose 0*t - 22 = -2*t. Solve -4*p = r + t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7892 - -7892.03. Which is the fifth biggest value? (a) t (b) -6 (c) 4 (d) 0.1 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (0 - (2 + 1 + -7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by 45.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {k: 3, r: 5, a: 2, i: 2, s: 6, f: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 5*k - 1. Let c be g(6). Suppose 5*p = c*o - 20, -p - 4*o - 8 = p. Let n(s) = -s**2 - 5*s. What is the units digit of n(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*s + 57*s - 571124 = -3*u, 3*u + 3*s - 571149 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 8*d + 12. Let h be n(-8). Calculate the highest common divisor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9746.3753 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -5*j - 5*v + 86, v = 4*j - 6. Solve 12 = 2*w + j*o, -2*o - 8 = -5*w - 4*o for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(15\/12))\/((-1)\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, o: 4, b: 3}. Give prob of picking 2 w and 2 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f - 14*f + f + 0*f + 5*f.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 820 and 713031?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1473\nAnswer: 294.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 4*z = -5*s + 3, -2*s - 5*z - 8 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 10 = -2. Suppose 5*g + 640 = 5*b, -2*b + 259 = -2*g - g. Suppose -k*t + b = t. Which is smaller: 26 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/17 and 42\/71.\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41419, -82847, -124281, -165721?\nAnswer: -207167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19775, 19778, 19781, 19784?\n\"Answer: 3*t + 19772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - 25*a + 13. Let r be v(12). Let f be (2\/(-2) - -113)*r. Calculate the highest common factor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89 - 87. What is the least common multiple of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28, -112, -252, -448, -700, -1008, -1372?\n\"Answer: -28*u**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1627 - -127200?\nAnswer: 128827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.02, -4, 12, 3\/2, -3940?\nAnswer: -3940","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 3. Let b(z) = -2 + 0*z**q - 4*z + z**3 - 3*z**2 + z. What is b(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*z + 3. Solve 4*p - 17 = z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 9*h**2 - 3*h - 1. Suppose 0*n + 5*n = 20. Is l(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - m = 11, 4423 - 4406 = 8*b - m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5717652.\nAnswer: 2, 3, 61, 73, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m**2. Let x be (-147)\/(-6) + 4\/8. Let f(b) = 2*b**2 + 25*b - x*b. What is f(q(t))?\nAnswer: 50*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -1 - -11) + -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331393?\nAnswer: 283, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68145)\/180)\/59*(24 + 2366\/(-98))?\nAnswer: 11\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 4002100920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 227.7062 to the nearest integer.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -39.1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 78 and 18.244733969.\nAnswer: 96.244733969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 8 - -1 - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 652 in 0, -0.1, -15, -2400?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 372*z + 29407. Give x(-67).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 10 = 0, 4*h + 3*j = 3*h + 55. Suppose h = 4*g - 47. Suppose 0 = 3*r - g + 3. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(30 - 30 - 7*o) + 2*o + 4*o - 2*o.\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*k**2 - 356*k**3 - 4*k**2 + 188*k**3 + 174*k**3 in the form o + d*k**2 + m*k + z*k**3 and give d.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khhhhhhhku. What is prob of sequence hh?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 8*z**2 - 8*z + 7. Let r(b) = 8*b**2 - 1. Let x be r(-1). Let o be w(x). Solve 2 = h - c, o = -h - 2*c + 14 - 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16 - 9) + (4 - 6). Solve 2*b + 3*b - f = 0, -4*m - 19 = b for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**(2\/5)))*m*m)**(2\/43)*(m**1)**(-1\/55) assuming m is positive.\nAnswer: m**(331\/2365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 8 (c) 0.04 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 6:25 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 264262 or 264259?\nAnswer: 264262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -311*o**5 + 2*o**4*r + o**2*r - 804*o wrt o?\nAnswer: -18660*o**2 + 48*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 196, 390, 584, 778, 972?\n\"Answer: 194*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*p - 3*q, -q + 7 = -17*p + 14*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113509 is divided by 14187.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -979 + 979. Let n(a) be the third derivative of -1\/4*a**3 - 13\/48*a**4 - 2*a**2 + b - 2\/15*a**5 - 1\/60*a**6 + 0*a. Solve n(i) = 0 for i.\nAnswer: -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4*m + 31, -5*r + 22*m + 83 = 24*m. What is the remainder when r is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540560 divided by -5240?\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 167*q**2 - 103*q + 45. Is 75 a factor of v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 81132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 5, -4, -2 in descending order.\nAnswer: 5, -2, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 8*m**2 - 162*m - 842. Give r(-5).\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 15*d**2 + 26*d + 1. Let x be b(13). Is 0 + x - 409320\/(-45) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*c + o = 15, 0 = 4*c - 3*o - 19. Suppose 2*f = 3*i + 92, -f - 6*i = -c*i - 39. What are the prime factors of f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, h: 7, t: 3, q: 2}. Give prob of picking 3 t.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millisecond in nanoseconds?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -26*b**2. Let f(s) = -190*s**2 - 55*s + 55. Let l(m) = -7*m**2 - 2*m + 2. Let c(v) = -2*f(v) + 55*l(v). Give r(c(o)).\nAnswer: -650*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 11:22 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284, 574, 864, 1154, 1444?\nAnswer: 1734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 2:43 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5, -d - 4*d = -5*o + 15. Suppose -3*z - 2*w + 368 = 0, -3*z - o*w + 255 = -121. Calculate the highest common factor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53956304849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**3 - 6*n**2 + 2 - 10 + 1 + 14*n**2 - 3*n wrt n?\nAnswer: -12*n + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (30\/(-20))\/(6\/(-16)). Let i(r) = r**3 - 5*r**2 + 3*r + 7. Let b be i(n). Sort 5, -14, b in decreasing order.\nAnswer: 5, b, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 3015\nAnswer: 904.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3227815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u + 20. Suppose -u*c = 4*r - 35, r - 4*c + 3*c = 2. What is the second biggest value in -2, r, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*2*(-8 + 6). Let u(n) = -3*n**3 + 5*n**2 - 3 - n + 4*n**3 + 3*n**2. Let p be u(w). Calculate the greatest common factor of 10 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 9*b + 3*p + 5 = 0, -4*p - 40 = 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s**3 - 2*s**2 - s - 3. Let a(b) = -11*b**3 - 5*b**2 - 3*b - 8. Give 2*a(z) - 5*h(z).\nAnswer: 3*z**3 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3 + 6 + 7*a - 11. Let s be h(6). Solve 4*i - 5*b = s, 2*i - 3*b - 2 = -5*b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/74874 and 67\/20.\nAnswer: 748740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412596 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3369*k**2 - 3*k + 3188 wrt k.\nAnswer: 6738*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + (sqrt(80) + 0 - sqrt(80)) + sqrt(80) + 5 + 0 + -5.\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*p + 4 - 3, -5*p = o - 1. Suppose -2*a + h = -h - 62, p = -2*a - 2*h + 42. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-15)*1)\/(779\/(-246))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 >= -633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175)*-2 + -2 + sqrt(49)\/(sqrt(70)\/(sqrt(10)*-1)).\nAnswer: -11*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/(-4)*(-38)\/57. Suppose 33 = g - v*l + 3, 52 = 2*g - 2*l. Solve r + 2 = 5*j - g, 3*j - 25 = 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -13. Suppose 2*v - 4*y + 8 = 0, 3*v = -0*y + 2*y + k. Sort 3, v, 5 in decreasing order.\nAnswer: v, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -895749*t + 3. Let k be x(3). Let b = -1387244 - k. What is b rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 558 and 1962.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 4 + 1 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -396a5 (base 14) to base 2\nAnswer: -100010011111010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10333302 (base 4) to base 7.\nAnswer: 113445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 3, p: 12}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.2 (c) 2\/3 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2*m + 58 = 0, 2*w + 83 + 20 = 274*m - 271*m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -48*j + 1. Let a(i) = -i. Determine r(a(m)).\nAnswer: 48*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 16) to base 6\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -265, -255, -265, -319, -441?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91 + 147. Let f = z + -47. Let k(x) = -x**3 + 2*x**2 + 4*x + 1. Let n be k(3). Do n and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -14. Let a be ((-18)\/15)\/(p\/10). Suppose -2*r - 9 = -5*v, -4*r = 5*v - 3*r - a. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/101694 and 31\/4.\nAnswer: 203388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 20 = -0. Suppose 0 = 2*n - a*q - 24, 0*n + 15 = n - q. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 - 58.6. Let l = 6 + -11. Which is the biggest value? (a) u (b) l (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.9 + 18. Let f = 8 - 8.5. What is the nearest to 1\/2 in 0, q, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 - 65. Suppose -3*y + 167 = -0*l - i*l, -54 = -y - l. Let o = -40 + y. Solve -3*k = 2*k - o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 490.054131317 - -3.945810383. Let y = -494 + c. Round y to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**3\/3 - 7*c**2\/2 + 6*c + 2. Let b = -2 + -7. Let a be (4 - 3)*(b + 2). Give p(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12854 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q - 29. Let d be s(12). Let r = d + 65. Solve r = 2*k + 3*c + 12, k + c - 7 = 6*c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -9.1. Let a = 130791.899984 + -130791. Let i = n - a. What is i rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/51)\/(2\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8483\/3 - -2828. What is the nearest to x in -655, 3\/2, 0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6650 by 25.\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/2, 0.3, -4.15?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.357 + 0.043. Let p = 54.1 - 54. Let v = 0.1 - -0.4. Sort 0.3, p, m, v in decreasing order.\nAnswer: v, m, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-4 + 125\/(-10)). Suppose -8*r + 28 = -9*r. Let d = r + 30. Solve -d*f - 2*f + 5*o + k = 0, 3*f - 2*o - 16 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1346 = 5*k - 62, -5*r = 2*k - 7017. Let l = -252 + r. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.02672 - 2.02473414. Let u = b + -0.002. What is u rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/3)*(z\/(z\/z**(-5)))\/z)\/(z*z\/z**(-6)*z*z\/z**(-2\/13)))\/((z*z**(-1\/3)*z)**(-2\/81)*z**(2\/5)*z*z**(-1\/5)) assuming z is positive.\nAnswer: z**(-262924\/15795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 + 12*d**2 + 22*d + 120. Let i be y(-6). Suppose u - 180 = 4*m - u, 0 = 3*m - 5*u + 135. Let v be 9*(264\/m)\/4. Is v at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 5*i - 45, 15*u - i + 87 = 18*u. What is the lowest common multiple of u and 8295?\nAnswer: 16590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/2)\/((-2)\/((-12)\/27)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 200234965?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 6 + 13)*(8 + 0 + 0)*(2*c - c + 0*c + (-5*c + 3*c + 3*c)*(-2 + 1 + 2)) to the form n*c + k and give n.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -86)*(-6 + 7). Let v = g + 91. Suppose -5*o + v*l = 3*l - 54, 0 = l - 1. Solve o = -2*x + 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6955 divided by -681\nAnswer: 6955\/681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14224212110 - 0?\nAnswer: 14224212110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.6784ml in litres?\nAnswer: 0.0266784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 37*h - 265. Calculate j(-8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - 1356100?\nAnswer: -1356055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 275, 7, -2\/13, -0.02, -3\/5 in descending order.\nAnswer: 275, 7, -0.02, -2\/13, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/((8\/10)\/(-4)). Let c be k\/22 + 2\/11. Suppose -5*f - 20 = 0, c*w + w - 3*f - 45 = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -77*h + 2841. Calculate i(37).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*b - 5, 4*b = -2*s - 11 + 5. Let w(d) = 41*d**3 - d**2 + d - 1. What is the units digit of w(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 244675549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 66114549*t**2 + 334204*t + 25708. Let g(k) = 12859*k**2 + 65*k + 5. What is 25708*g(f) - 5*q(f)?\nAnswer: 6427*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100110 - -11?\nAnswer: 10101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 - 58. Which is the second biggest value? (a) j (b) -2 (c) 4 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6435 and 46530?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46222 - -1109233\/24. Find the common denominator of v and (-74)\/54 - (-8)\/(-36).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 27*u**2 - 195*u + 47. What is w(-6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1*5\/(-5)*(-60)\/(-40)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7551 + 14954. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 5*x - 110. What are the prime factors of x?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11201 (base 3) to base 2\nAnswer: 1111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -350194 + -55\nAnswer: -350249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3685, 3680, 3673, 3664, 3653, 3640, 3625?\nAnswer: 3608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11996, -20939, -29878, -38813?\n\"Answer: 2*g**2 - 8949*g - 3049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 171*l. Let i(f) = f**2. Calculate n(i(m)).\nAnswer: 171*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 l, and 1 s when four letters picked without replacement from {m: 2, s: 1, l: 6, d: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2284812*x**3 - 2284813*x**3 - 174*x**2 - 36*x**2)*(0 - 2*x + 0)*(-x + 0*x + 3*x).\nAnswer: 4*x**5 + 840*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 0*z**3 + 7*z - 1\/1008*z**8 + z**2 - 4\/315*z**7 - 1\/20*z**6 + 0 - 4\/45*z**5 - 5\/72*z**4. Let p(m) = 0. What is m?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4274612 and 35240?\nAnswer: 3524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldviiliim. What is prob of sequence mi?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36663 is divided by 189.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*y - 70, y - 3*t = -2*t + 17. Suppose -3*s + 6 = -y. Solve 4*r + 27 = s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**2\/2 + 6*d - 24. Let s be h(4). Let p be ((-12)\/(-15))\/(1 - 14\/s). Put 4, 5, -0.2, p in ascending order.\nAnswer: p, -0.2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/488 and (228\/12 - 17)*(-82)\/320?\nAnswer: 4880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**4\/5 - 17*a**3\/15 + 2*a**2\/5 + 14. Factor d(v).\nAnswer: v*(v - 4)*(4*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -196*o**3 + o**4 + 194*o**3 + 18 + 0*o**2 + 0*o**2 as a*o**3 + f + i*o**2 + k*o + m*o**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 + 43. Let j be (3 + d)*1\/(-2). Let w = 16 - j. Solve -2*v = -g - 2*g + w, 3*g + 4*v - 17 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/35 (b) -1 (c) -1551 (d) 3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -0.0062651\nAnswer: 0.3062651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/10)\/(3\/(12\/(-52)))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12316301 + 103?\nAnswer: -12316165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -70.138 and -0.3?\nAnswer: 21.0414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 5*r + 12. Let z be v(6). Let n be -3 + z\/3 - -2. Suppose -2*s + 53 = n. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and 7640.\nAnswer: -6112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s - 4*s + s)*(-20 + 20 + 16*s**2 + (-1 + s + 1)*(s - 3*s + 3*s)) in the form t*s**3 + z*s + c + v*s**2 and give t.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 0, -2*v - 2*u = -u. Let f = 0 + v. Let c(m) be the second derivative of -m**5\/20 + m**4\/12 + m**3\/6 - m**2 + m. Calculate c(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**8\/42 + 3*v**4\/8 + 12*v**2. Find the second derivative of l(c) wrt c.\nAnswer: 160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 19 = -26 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6*m + 1551 = -5*i, 3109 = 2*m - 3*i. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -28*4\/(-6)*(-6)\/(-7). Solve -15*l + d*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 4 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + 8 + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*o - 51 = -402*o - 2701 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -200 divided by -40\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 4*z**2 - 3*z + 7. Let o = 16694 + -16684. What is the remainder when d(5) is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 7*x**2 + 22. Let l be p(-6). Let z be (l + -4 + -2)\/(-2). Solve -4*g - 30 = -z*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -14. Calculate the lowest common multiple of i*-1 - 70\/(-7) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 591 - 565. Suppose 5*i = -3*s + a + 1, -3*i = 2*s - 17. Solve -4*q + 5*g = -5*q + 23, 2*g = s*q + 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 20*x**2 + 11 + 19*x**2 - 5 - x to k*x + z + g*x**2 and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-29)*q)\/((q\/(q*q**(1\/8)))\/q) assuming q is positive.\nAnswer: q**(-207\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 5*a - 4. Let l be g(-2). Let k be (8\/10)\/(l\/(-5)). Suppose -i**5 + 0*i**4 + 4*i**2 - 5*i**2 - 4*i**4 - 5*i**3 - i**k = 0. What is i?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*h**6*y + 4*h**3*y + 2*h**2 - 34*y wrt h?\nAnswer: 960*h**3*y + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/((0 - 2) + 0). Let o = 16 + -13. Solve -4*m + 2 = o*i, -10 = -d*i + m + 3*m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11101 + 2?\nAnswer: -11044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 take away 4.51?\nAnswer: 28.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01684 rounded to 4 dps?\nAnswer: -0.0168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + -2*2*sqrt(1573) + sqrt(1573) - (1 + sqrt(1573) + 1 + sqrt(1573))) + 0)*2.\nAnswer: -88*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z + 2. Let f be 0\/(((-2)\/(-2))\/(-1)). Suppose -4*d = -f*d - 8. Give x(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 149 - 134 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 136\/20 - 105\/(-25)) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110100100000 - 100?\nAnswer: 10110100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.12, -2\/13, 2 in decreasing order.\nAnswer: 2, 0.12, -2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 14 - (1 - 0) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 7. Let c be (8\/(-12))\/((-4)\/30). Let f be l(c). Let a(r) = -3*r**f + 0*r**2 + 2*r**2 - 4*r - 1. Calculate a(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*w = -13, m - 13 = -5*w + 12. Let s = -15 + 17. What is the second derivative of g**m - s*g + 4*g + 2*g**5 wrt g?\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 3. Let t(n) = 16*n**2 - 280. Give t(g(b)).\nAnswer: 64*b**4 + 192*b**2 - 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, -14, -37, -70, -113, -166, -229?\n\"Answer: -5*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2960679 - 2960679 - 4*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5 + 1. Let l = -35 + 39. Suppose -3*b = q - 7, l*q - q - 11 = b. Solve w = -x + q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 9:41 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -10.9. Is -1\/4 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((-50)\/(-15))\/((-16)\/(-24))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktrtrk. What is prob of picking 1 r and 2 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.33 - 0.88. Let d = z + -135.45. Let u = 132.921 + d. What is u rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1881 and 549945?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbv when three letters picked without replacement from wxvccvxdwxvwbxvxc?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**6\/5 + f**2 + 4*f. Find the first derivative of o(k) wrt k.\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjgeegkm. Give prob of picking 1 j and 2 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22100201021 - 1221?\nAnswer: -22100210012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 85, 201, 377, 625, 957?\nAnswer: 1385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**4\/12 - 7*t**3\/6 - 2*t**2 + 9*t. What is b(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*t = 7*t - 3720. Let j be (-152)\/t + (92\/20 - 5). Is j > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1640\/813251 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121746*o**2 - 92*o**3 + 121746*o**2.\nAnswer: -92*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -133*y**2 - 2*y. Let k(h) = -71*h - 12*h + 41*h + 48*h. Determine a(k(r)).\nAnswer: -4788*r**2 - 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 229*f + 6396. Let x = -4 + 8. Calculate the remainder when r(-27) is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*1 - sqrt(110))*6*-5)\/((sqrt(640) - (-1*sqrt(640) - sqrt(640))) + sqrt(90)\/(sqrt(36)\/sqrt(4)) + sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 509533488 a multiple of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51838, 414717, 1399674, 3317749, 6479982?\nAnswer: 11197413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6559*g - 3158*g - 3169*g - 1.\nAnswer: 232*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(8)*-2 + sqrt(8)) + 3 - (sqrt(98)*1 + -1 + sqrt(2) + sqrt(2) + sqrt(8)).\nAnswer: -12*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1402791\/472 + (-9)\/(-24). Let c = 2972 - n. Find the common denominator of c and 43\/8.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 20 = -5*j. Let u(h) = -2*h**2 + 10*h. Let n be u(j). Suppose n = 3*b - 1 - 2. Calculate the smallest common multiple of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3750\/11 or -342?\nAnswer: -342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 7 = 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 4 = 5*u. Suppose g = 3 + 2. Let b be u + g + 20 + -1. Solve -4*t = b - 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-105)\/(-6))\/7*(-56)\/70\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122 - 32 = -45*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-231)\/(-9) - -2) + 176\/132. Let o = y - -11. Calculate the least common multiple of o and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121 + 2211210111?\nAnswer: 2211212002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 56 = -z. Suppose 3*s + 2*x - 4*x - 62 = 0, z = 2*s - 5*x. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 15151840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/2 (b) -2 (c) -8 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/55 - (4 - (-400)\/(-44)). Solve 4*s - 28 = 5*w - 15, -b*w = 5*s + 40 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23166 and 16.299?\nAnswer: -377582.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 2211 = 2209 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c**4 + 599*c**3 + 5*c**2 + 2373 wrt c?\nAnswer: 96*c + 3594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2160*b - 151. Is j(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2154 (base 6) to base 15.\nAnswer: -237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/8)\/(-3))\/(4\/(-32))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 122117740 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - 134*x**2 + 3*x + x + 506*x**2 - 3*x as r*x + v*x**2 + j and give v.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 2\/111 (c) -17 (d) -5\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 15*q**2 + 19*q + 52. Let g be h(-16). What is the second derivative of 4*z**2 - g*z**2 + 100*z - 166*z - 7*z**2 wrt z?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 14. Let u be k(-11). Suppose 0 = -u*b - 0*b + 6. Suppose -2*n + 2*w = -452, 0*n - b*w = -3*n + 675. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 239 + 6 = 0. Suppose 175 = 2*r - l. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -88, 1\/8, 3\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m - 67. Let r(a) = -336*a**2 - 168*a. Calculate s(r(q)).\nAnswer: -1344*q**2 - 672*q - 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z**5 + 620*z**4 + 3912*z**3 + 4432*z**2 - 1600*z = 0 for z.\nAnswer: -4, -2, 0, 2\/7, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95346256?\nAnswer: 2, 19, 313639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/4 + 81965*l**3\/4 + 106091139*l**2\/4 + 45456625319*l\/4 + 3240537145909\/2.\nAnswer: -(l - 83246)*(l + 427)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g - 2*g + g + 19. List the prime factors of o(16).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**4\/3 + 563*t**3 + 358559*t**2\/3 - 563*t - 119520 = 0.\nAnswer: -1440, -249, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 3. Let w be 4\/(-4)*(1 - 0). Let b(s) = 8*s**2. Let n be b(w). Let k be x(n). Solve 0 = j + k*h + 26, 3*h = -j - 1 - 15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30233 and 37637.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -8019*p + 24066. Determine t(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-8) - 2025\/(-12). Suppose -4*u = -x - v, u - 3*x = -2*x + 42. Suppose 15*m = 5*m + 280. Calculate the greatest common divisor of m and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - -12. Let w = -7 + -12. Let b = -7 - w. What is the lowest common multiple of b and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 s, and 1 k when three letters picked without replacement from {k: 3, d: 1, a: 3, e: 1, n: 3, s: 3}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -840096482*y**3 + 760423057 wrt y?\nAnswer: -2520289446*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0.6. Let g = -9 + 5. Let k be 2\/60*5*-4. What is the closest to -0.1 in k, g, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28372753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**(-2\/9)*n)*n)**(2\/5))**17\/((n**(-1)*n)**(-29)*(n\/(n*(n*n**(-2\/3))\/n)*n)**25) assuming n is positive.\nAnswer: n**(-239\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from {p: 1, e: 1, c: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 4*v + 10, 0 = -0*v + 2*v - 5*a + 23 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-58)\/(-6) - (-2)\/6. Let w = a - 7. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/5, -2, -7, 1\/3, -0.11, 0, 0.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-675)\/(-243))\/(15\/18)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(1\/16))\/u**(-10))\/(u**(-4)\/(u**(-2\/5)*u)))**(2\/57) assuming u is positive.\nAnswer: u**(1253\/2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110111010010110111 (base 2) to base 3.\nAnswer: -102111200102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 540 - 285. Suppose -6*b + m = -27. Suppose 125 = 2*d + b. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-3 - 3) + 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -721269 (base 13) in base 14?\nAnswer: -4d2d3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*o + 10 = 164*o. Suppose 4*q + 3*h - 7*h - 136 = 0, o*q + 2*h = 135. What is the remainder when q is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1615*g - 5*x = 1616*g - 3, -2*g + 6 = 6*x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 71, 67, 61?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 13. Let n be y(-9). Suppose -4 = -4*a + 5*a - 2*j, 0 = -3*a + 2*j + n. Find the second derivative of 2*u - 2*u**4 + 0*u + u**a wrt u.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**4\/12 - c**3\/6 - 3*c + 5. Find s, given that l(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76\/95*25\/(-110)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/9)\/((-1)\/3). Sort s, 3, -3, -7.\nAnswer: -7, -3, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88536 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w - 1 - 3*w + 3)*(-2*w**3 - 2*w**3 + 3*w**3).\nAnswer: 11*w**4 - 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -41*m**4\/24 + 2*m**2. What are the prime factors of q(-1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s - 31*s + 18*s + 63*s**3.\nAnswer: 63*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -477 - -312. Let a be 11*(-10)\/p - 8\/3. Sort -5, -4, a, -12 in descending order.\nAnswer: a, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*j + 240 = -69, 4*u = j + 418. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 14113*l**2 + 5*l + 14108*l**2 - 3*l.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.7 - 7.658. Let s = m - 0.015. Let r = -0.473 - s. Which is the closest to 0.1? (a) -0.2 (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 956821.\nAnswer: 19, 50359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -589, -1191, -1793, -2395, -2997, -3599?\n\"Answer: -602*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 28*q**3 - 160*q**2 - 172*q + 80. Let c(a) = -2*a**3 + a - 5. Let j(z) = 16*c(z) + d(z). Factor j(m).\nAnswer: -4*m*(m + 1)*(m + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 2:44 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbmn when four letters picked without replacement from {m: 1, x: 1, r: 1, n: 2, f: 2, b: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cecececdd. Give prob of sequence dee.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13*7 + (-89826)\/(-1361)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -22. Let f = 2.0025 + w. What is f rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -620*b**2 - 201*b - 4. Let w(k) = 621*k**2 + 203*k + 3. Let h(p) = -3*n(p) - 4*w(p). Find the second derivative of h(r) wrt r.\nAnswer: -1248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (112\/(-196))\/((-2)\/15946)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6)*16\/12)\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p. Let i = -1012 + 1017. Let l(g) be the second derivative of 0*g**3 + 0 - 5\/12*g**4 + 0*g**2 + i*g. Determine z(l(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-111)\/(-71928)*-54*(-16)\/(-18)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 147 + -52. Let r(w) = -26*w + f*w - 32*w - 30*w. Let u(p) = p. What is r(u(t))?\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 + 0 = 0. Let y(t) be the third derivative of 7*t**4\/8 + 10*t**2. Let k be y(2). What is the highest common divisor of k and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222201 + 3?\nAnswer: -222132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1332.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + s + 1. Let z be d(-2). Solve j + 2*b - 4 = 0, -z*j - 3*b - 1 = -10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + -0.1. Let m = 6.36 + -5.56. Which is the third biggest value? (a) m (b) x (c) -3\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1042*r = 1886*r + 3896*r + 127980 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u - 6698 + 6698.\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 6\/5 (b) 4\/29 (c) 5\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 184 = -49. Let v = p - -40. Let h = -48 - v. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5588849 nanometers to centimeters.\nAnswer: 0.00000005588849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvovvovvvovvovovvvo. What is prob of sequence vvo?\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-8) + (-98)\/(-8). Find the third derivative of -s*j**6 - 16*j**2 + 28*j**3 - 28*j**3 wrt j.\nAnswer: -1560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - -39) + (8 - (1 + 28))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -78*(-22 + 23 + (-9)\/2). What is the greatest common divisor of 78 and f?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8409, 8408, 8407?\nAnswer: 8406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -8, 4763, -2.488?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 628915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okx when three letters picked without replacement from okcxc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + 12 + -31 + -1 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 124411.26 rounded to the nearest ten?\nAnswer: 124410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*d - 4*w + 4, 4*w = -5*d + 67. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1679 + -886.49229?\nAnswer: -890.66019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -158897*g + 307595*g - 164242*g to the form n*g + a and give n.\nAnswer: -15544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/23173 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 2792?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/187 and -6\/11.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 6*i = -i - 1070, 4*q - i - 841 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.057 - 1.07396. Round u to four decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 - 51. Let r(v) = v**3 + 9*v**2 + 16*v + 18. Does 15 divide r(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 - f**5 - f**2 + (f - 4*f + 2*f)*(0*f**4 + 2*f**4 - f**4) + (-5*f + 2*f + 2*f)*(2*f**4 - 6*f**4 + 3*f**4).\nAnswer: -f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*p = 560. Let l = -33 - p. Suppose -l = -2*y - 3*n, 3*y - 30 - 26 = -5*n. Calculate the remainder when 116 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 72\/20 + (-2)\/(-5). Suppose 2*c + x = -2*d, -5*c - 3 + 1 = d. Solve -5*r - 10 = -c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)\/n*n*n**(-1\/4))**(-44) assuming n is positive.\nAnswer: n**99","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppxppxxxx. What is prob of sequence pxpp?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 2*g**2 + 1\/60*g**5 - 1\/2*g**3 + 0*g + 0 + 0*g**4. Suppose 0 = 27*d - 20 - 61. Determine o(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 1615, 1, -2 in decreasing order.\nAnswer: 1615, 12, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 9*a - 5. Let i be g(-8). Suppose -i*d - d = -128. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -1 - -8 - ((-21 - -10) + 14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 165703860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-15))**3*y**(4\/5)\/y**(-27) assuming y is positive.\nAnswer: y**(-86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-155)\/(-15) + (-2)\/6. Suppose -2*n - 2 + s = 0. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2804.8 - 0.5\nAnswer: 2804.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2392991964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.19+-0.48\nAnswer: -0.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15267 - 30535 - 286*j + 15263 - 71*j.\nAnswer: -357*j - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17486 is divided by 603?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.79 + -1.69. Let d = c - 0.1. Let x = d - 13. What is the closest to x in -0.3, 0.07, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.07, 0.48, 1\/5, 0, 2\/11?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 252 - 228. Suppose 26*r - z = 18*r. Solve r*o = 4*t - 5, 2 - 14 = -4*t - 4*o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 101 (b) 0.8 (c) 3 (d) 24682\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -11*r - 210. Calculate t(-7).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - (2173\/(-20))\/(644\/(-112)))*(-5)\/2.\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 826*g**3 - 4*g**2 + 4*g + 8. Let v be j(4). Suppose 5*x = 10831 + v. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/177)\/q**(-3))**(-1\/7) assuming q is positive.\nAnswer: q**(-529\/1239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*b + 52*b + 3264 = 0. Is b - (4 + -2 + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1230 - 1229.9. Which is the biggest value? (a) 1 (b) 4\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 v, and 1 e when three letters picked without replacement from {d: 5, s: 1, k: 1, e: 1, v: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by -5.\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16501*a**2 + 12*a**3 - 16501*a**2.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 64.22 and 27.67552?\nAnswer: 36.54448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 404148150*g*q**2 - 11*q**2 + 5485146 wrt g.\nAnswer: 404148150*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**3 + 3*v**2 - 4. Let m(h) = 4*h**3 - 4*h**2 + 5. Suppose 2*b + 4 = -2*x - 4, x = 3*b - 4. Give x*m(d) - 5*q(d).\nAnswer: -d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (328\/(-280))\/41*(-90)\/48.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 2, 17, 48, 101?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896.04 greater than or equal to 0.008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -88\/357 - 2\/51. Let b = -11\/8 + 39\/40. What is the closest to b in -1\/4, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (213*m - 173*m - 194*m)*(3 + 2 - 3)*(5 - 3 + 1) to the form w + s*m and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1169 (b) 0.1 (c) 0 (d) 1\/8 (e) 0.2 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*i = -2*v - 18, i - 3 = 0. Suppose 7*x + v = 8*x. Suppose x*g - u = 212, 0 = -u - 2 - 3. What are the prime factors of g?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/11862 and -53\/54.\nAnswer: 35586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02175349902 to four decimal places.\nAnswer: 0.0218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(2*18\/27)*(-14)\/(-9)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12969, 15859, 18749, 21639?\nAnswer: 24529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2186 + (-2)\/(10\/(-5)). Is 23 a factor of r\/19 - (-2)\/(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*v = -0*v - 47, 0 = -o - 3*v - 2. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 11*w + 1. Let t be q(1). Calculate the greatest common factor of 84 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15158801 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/497, 1\/2, 5, -0.5, 1\/4 in descending order.\nAnswer: 5, 1\/2, 1\/4, 3\/497, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5654288 divided by -292.\nAnswer: -19364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3708\/65 - -6863248\/120315. Let t = -109685\/220269 - f. Find the common denominator of t and 36.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9942717 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29308154007 - 29308154007 - 4*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.832 and 0.2.\nAnswer: 0.1664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12182 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/8 or 0.1316?\nAnswer: 0.1316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25247, 25097, 24851, 24509, 24071?\n\"Answer: -48*g**2 - 6*g + 25301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.9 + 747.94162.\nAnswer: 764.84162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 9:07 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 less than 10283421?\nAnswer: 10283421.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 43449?\nAnswer: 43452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 4)*(12*w**3 + 0*w**3 + 23*w**3) as u*w + j*w**2 + k*w**3 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5518 - 2430. List the prime factors of t.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13373*w - 1990*w - 9294 + 1200*w + 9294 in the form v*w + u and give v.\nAnswer: -14163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1016\/3 - -59003\/174. Find the common denominator of 39\/(-65) - 5432\/480 and g.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**3 - 4*u**2 - 6*u + 6. Let x be o(1). Let r(v) = 6*v**2 - 4*v - 2. Give r(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 37*g - 38. Put 23, g, 3 in increasing order.\nAnswer: g, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.04692 rounded to zero decimal places?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 3*n - 9, 2*p + 2*n + 3*n = -6. What is the second smallest value in 0.1, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*r**2 - 724*r - 756.\nAnswer: 4*(r + 1)*(8*r - 189)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.015452 - 2\nAnswer: -1.984548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -102 divided by 2776776\nAnswer: -17\/462796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 3 (c) 9 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -2255?\nAnswer: -2250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4+-3791\nAnswer: -3795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*d**2 + 6*d - 18*d**2 - 2*d**3 + 4 + 49*d**2 - d - 15*d**2 in the form w*d + j*d**2 + i*d**3 + l and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40229 + -40228.9999973021. What is c rounded to 7 dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8478*q**5 - q - 5626.\nAnswer: 169560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 97*c = -544077. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -543*q**5\/10 - 71*q**4\/12 + q**3\/3 - 996*q. Find the third derivative of r(o) wrt o.\nAnswer: -6516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -60, -0.2, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 14574183*n - 3*n**3 + 14574176*n + 158*n**3 as p*n**2 + h + m*n + v*n**3 and give v.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -159*b - 1193. What is the units digit of t(-48)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.23942 millennia to years.\nAnswer: 85239.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.85 + -11.85. Which is the closest to 1? (a) 3\/4 (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/32 of a millennium?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202 (base 7) to base 13.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and -336\/79 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 * -0.15.\nAnswer: -0.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -w - 4*w + 4*j, -37 = -2*w + 3*j. Suppose 0 = -h + 49 + w. Does 23 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + v + 42. Calculate j(-14).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-9 - -1) + 1 + 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0 (b) -1\/25 (c) -246 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 140271310 to the power of 1\/2, to the nearest integer?\nAnswer: 11844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3\/4 + 497*n**2\/4 - 1518*n + 4581 = 0. What is n?\nAnswer: -509, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 971 + -773. Calculate the least common multiple of u and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/30 - (-756)\/945\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**5\/9 - 19846*p**4\/9 + 49223020*p**3\/9 + 49441384*p**2\/9 - 164195888*p\/3 + 43771456 = 0.\nAnswer: -4, 1, 2, 4962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*(g*((g*g*g*g**(-8)*g)\/g)\/g)\/g*g*g)\/g)**(-12\/19) assuming g is positive.\nAnswer: g**(36\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*d + 2*d**3 - 15*d)*(-2 - 377*d + 379*d + 3*d**2 - 2).\nAnswer: 6*d**5 + 4*d**4 - 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1838 divided by 198?\nAnswer: -919\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 8 = -2*z, 2*z = 18*g - 17*g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -9*f - 90. Suppose 0 = -i - 0*i + 3*x - 20, -5*i + 4*x = 78. Calculate the smallest common multiple of 4 and q(i).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-3))\/((-6)\/198*-2). Let o(k) = k - 19. Let h be o(v). Solve 5*m + 4*r - 13 = 0, -m = -0*m + h*r + 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18519 and 16.\nAnswer: 296304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38795292.\nAnswer: 2, 3, 17, 63391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 462 - 423. What is the remainder when 151 is divided by z?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*-64*17\/(-204)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16401375?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -4*m + 1 - 9, -4*b = m + 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*o - 17*o. Suppose o = 5*b - 3 - 2. Let d(c) be the third derivative of c**6\/120 + c**3\/6 + 5*c**2. Determine d(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9001656 minus -0.1162?\nAnswer: -9001655.8838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 5. Suppose 25 = -4*f + 5*f. Suppose 2*j - 7*j = -f. What is w(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/15 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307446 is divided by 102479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3*-33\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 3*x - 11. Let h be q(5). Let n = h - 19. What is the highest common divisor of n and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 6*w**5 - 2 + 7*w**5 + (-131*w**2 + 131*w**2 + 78*w**3)*(2*w**2 + 5 - 5).\nAnswer: 157*w**5 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 110*v**3 - 91*v**2 - 16*v + 7. Determine c(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/3 (b) -9698 (c) 4 (d) 0.37 (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/(-21) - 5\/(-3). Which is the nearest to -7? (a) z (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 1 (c) -1579\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.75, 0.5, -4\/11, -84?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - b**2 + 3. Let m be r(0). Suppose 3*a - 150 = -m*l, -l + 44 = a + 2*a. List the prime factors of l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = z - 2859. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: b\"What is the uth term of 99411683, 198823337, 298234981, 397646609, 497058215, 596469793, 695881337?\n\"Answer: -u**3 + u**2 + 99411658*u + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*w + 12420254 = 183*w - 98*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**3\/9 - 21818*u**2\/9 + 6612672*u - 6610248 = 0.\nAnswer: 1, 5454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2. Let z be y(-1). Suppose c = -z*c + 12. Calculate the greatest common factor of 32 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 35.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 324788913*g**2 - 89447134*g?\nAnswer: 649577826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/2 of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 287 - 290. Let h be 18\/(-8) + 1\/4. Is k <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**5 - 13*y**4 + 7*y**2 - 8*y. Let d(b) = 10*b**5 - 25*b**4 + 15*b**2 - 15*b. Let i(v) = 3*d(v) - 5*w(v). Determine g so that i(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -20364?\nAnswer: 61092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -707 - -733. Suppose 446 + 2102 = o*g. What is the least common multiple of 22 and g?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1947 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 10 = v + 2, 3*v - 29 = -4*n. Suppose b + 4*l - 83 = 0, -459 = -n*b - 0*l + 2*l. What are the prime factors of b?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-7)*57\/38?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 424 + 56. Let u = b + -479.999999453. Round u to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 8*p**2 + p - 2. Let g(w) = -w**3 - 9*w**2 + w - 2. Let k(t) = -6*a(t) + 5*g(t). Determine k(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-10)*(-8 - 57). Suppose -r + 11 = -3*z + 2*z, -3*z - r - s = 0. Let u = 16\/105 - 20\/21. Which is bigger: u or z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ff (base 16) to base 10.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/10 - (-465)\/(-25). Let l = -85 - -48. Let c = l - p. What is c rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 27 + 24. Suppose -13*b - 12 = -s*b. Solve -4*q + 4*g = 16, b*g = -4*q - 8 - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 12 = 4*b, 0 = -5*b - 10 - 10. List the prime factors of (-10948)\/(-63) + 1\/(9\/m).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14\/(-6))\/(264\/198)*(-2)\/7. Let x(t) be the second derivative of 3*t + 0*t**3 + 0 + o*t**2 + t**4. What is the first derivative of x(n) wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 0*b**3 - 1\/15*b**5 + 1\/3*b**2 - 1\/6*b**4 + 1\/3*b + 3. Factor i(j).\nAnswer: -(j - 1)*(j + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 times 0.0096?\nAnswer: 0.4032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (8\/44 - 32336\/(-22))*4\/6 and 3920?\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 0.89?\nAnswer: -0.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*i**2 - 19*i**2 - 20*i**2 + 63*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -275 in -5, 4, 0.06?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 393 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271225 divided by 5.\nAnswer: -54245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/6*280\/15. Suppose v = -0*v + 5. Suppose v*i - t - 35 = 24, -4*i + b = 4*t. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**3 + 3*f**2 - 5*f. Let h be -6*4\/(-6)*24\/48. Calculate z(h).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 30445378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 - -69. Suppose 6*r - 4*r = a. Let o be (r\/18)\/(8\/24). What is the third biggest value in 1\/2, -4\/9, o?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**4\/8 + 2*z**2. Let n(j) = -j**2 + 3*j + 3. Let w be n(3). Let r(v) = -6*v + w*v**2 + 6*v - v**2. Give u(r(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/606366 and 91\/3546?\nAnswer: 606366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f + -1dd?\nAnswer: -20c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 6*v - 2*v**2 + 16*v**3 + 6*v - 105*v**3 in the form h*v**2 + g + j*v**3 + x*v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-175)\/(-20)*((-2 - -4) + 2). Let j be (-3 + 48\/15)*z. Solve 6*l - j*l = -5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -11 (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*q + 351 = 3*k, -5*q - 473 = -4*k. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 9:06 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - (119 + -109) - (-5 + 46)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 13188?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -133 - 45100540?\nAnswer: -45101113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from {v: 4, j: 14}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 73.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -65*b**2\/2 + 1911. Let z(n) = -3*n**2. Give z(c(w)).\nAnswer: -12675*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 4*n - 3. Let y be m(-1). Let r be (-2 + y)\/((-7)\/63). Solve 6*s - r = 6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 11:14 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-450)\/(-66) - 7) + 0.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 1132410?\nAnswer: -1132340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 30, 46, 62, 78?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 divided by 5238.\nAnswer: 76\/2619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -688 - -1358. What is l rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/5 + 335746*z\/5 - 335756.\nAnswer: 2*(z - 5)*(z + 167878)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w**2 - 35*w**2 + 3*w**3 + 17*w**2.\nAnswer: 3*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 40*u + 383. Calculate i(-14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l**2 + 305*l. Let s(z) be the third derivative of -z**4\/12 - 15*z**2 - 7*z. Determine k(s(x)).\nAnswer: -16*x**2 - 610*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 - 57*o + 4. Let r be d(-10). Suppose -p + 3*x = -85, -2*p - 2*x = 3*p - r. Let j = 64 - -50. Calculate the greatest common factor of p and j.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -33*b**2 + 2. Let w(g) = -133*g**2 + 9. Calculate 4*w(c) - 18*z(c).\nAnswer: 62*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -9*q + 30. Let n be u(3). Suppose 3*c - 559 = -4*j, 5*c - 6*j + n*j = 922. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 27 + 26*c**3 + 19*c + 26*c**3 + 0*c**2 - 51*c**3 + 19*c**2. Calculate g(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(162) + 0)*-6)**2.\nAnswer: 324*sqrt(2) + 5841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + sqrt(304))**2 + (-2*sqrt(19) + -1 - sqrt(19)).\nAnswer: -27*sqrt(19) + 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3)*i*i**3\/i*(i*i**5*i)\/(i*i**(-2\/13)*i*i*i)*(i**(-1\/8)\/(i*(i**(1\/3)*i)\/i))\/(i**1\/i)**(-17\/5) assuming i is positive.\nAnswer: i**(529\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, w: 3, f: 4, y: 3}. What is prob of picking 1 y and 1 z?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 - -1673680342095?\nAnswer: 1673680342142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 30, 1, -11, 8, 2 in decreasing order.\nAnswer: 30, 27, 8, 2, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 15. Suppose -p = -2*m - 3*m. Suppose -f - m*x = 3*x - 12, -5*f + 2*x = -195. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -16.88, -0.155, 0.2, 0.3, 1\/9?\nAnswer: -0.155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (215\/(-60) - -4)\/(1840\/1472).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**3\/6 - 7*g**2\/2 - g + 2. Let d(r) be the first derivative of y(r). Let z be d(-6). Put z, -4, 5 in increasing order.\nAnswer: -4, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94499637 to the power of 1\/3, to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + b5?\nAnswer: b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133815?\nAnswer: 3, 5, 11, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 2*a - 3*a + (4*a - 4*a + a)*(4 + 1 - 4))*(2 - 2 + a + (1 - 1 + 1)*(-3 + 3 + 2*a)).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11194 - 11194.83562. What is y rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10061\/22 - -456. Find the common denominator of 1\/(-2) + 378\/112 and m.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -0*a - 396. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22294\/(-1413) + 3 + 116\/(-36)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -3 - (-8 - -3 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3983*k**2*q**4 - 5*k**2*q - 13*k*q**2 - 5*k - 24127*q**4 - 57893 wrt q?\nAnswer: 95592*k**2*q - 579048*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 20*g = -21. Suppose 0 = 3*s + q - 281, 5*s = -3*q + g*q + 457. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 334 + -338. Suppose -3*w - b - 18 = 13, 2*w + 4*b + 24 = 0. Sort 2, w, p, -2 in ascending order.\nAnswer: w, p, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10808 + -10812 + (-2 - -1) + -2 + 10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-32)\/(-80))\/(1\/15). Which is bigger: r or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-1)*48\/(-12). Let x be -2*-15*2\/m. Suppose 0 = 7*j - 2*j - x. Which is the second smallest value? (a) -0.2 (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -522d9?\nAnswer: -522da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-9)*((-9)\/(-21))\/((480\/(-112))\/(-5)).\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wy when two letters picked without replacement from {e: 1, y: 1, b: 1, f: 3, w: 6}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x - 4 = -n, -3*x + 2*n - 8 = 0. Suppose x = -0*i + 2*i - 6. What is the second derivative of -3*j - 3*j**2 + i + 0 - 3 wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -106. Let o = -152 - p. Let v = o + 87. Solve v = 4*i - 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 3. Suppose -4*r = -2*r - 3*j + 20, j = -r. Let v be 2\/(-4)*r\/5. Which is the second smallest value? (a) k (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1360 + -171?\nAnswer: -1531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 6*m**2 - 2*m. Let y be s(3). Let i = y + -11. Suppose 0 = -i*k + 6*k + 4. Is k < -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5650656 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*c - 10, 4*c + 3 - 7 = -4*l. What is the nearest to 6 in c, -2\/27, -0.3, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 + 5 - (-2)\/1. What is the lowest common multiple of 7 and (-2)\/s + 0 + 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84809 + 287809. Round m to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4293 in 0.06, -3\/4, 4, -1, 5\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/16096 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 11*o + 71. Determine v(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 2:15 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bubbbbbub. Give prob of sequence bubu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbb when three letters picked without replacement from bgwbwbwwwbwbgbbgww?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3275.6 - 3276. What is the fourth smallest value in o, -0.3, 0, -2\/15, -3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 10:49 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(125) + sqrt(125)*-6) - sqrt(125) - (2*sqrt(245) + 0)**2.\nAnswer: -980 + 95*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -5\/6*s**3 - 1\/10*s**5 + 0*s**2 + 0 + s + 0*s**4. Find the second derivative of q(g) wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/(-12))\/((-6)\/(-104)). Let d(n) = -61*n - 254. Let z be d(-8). What is the greatest common factor of s and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 840\/5130 - 14\/21*(-4)\/(-24).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qseq. Give prob of sequence qqse.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a + 537. Let y(z) = 28169*z**2 + 2*z. Calculate u(y(w)).\nAnswer: -56338*w**2 - 4*w + 537","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 26. Let g = -3 - -23. Calculate the least common multiple of g and c.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/37, -0.3, 0.5, 2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 5*q = -131, 4*y + 5*y = 14*y - 4*q - 118 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 2112181.\nAnswer: 8448724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 4:10 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddrrddddddddrdd. Give prob of sequence rdr.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -22, 2\/105, -3, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 947*b**2 + 488*b - 72*b**2 + 510*b**2 + 496*b + 1300 - 986*b wrt b?\nAnswer: 2770*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 21*r - 4. Let y be x(9). Let f be (-144)\/y + 2\/(-7). Let w = -2175\/26 + 167\/2. Is w < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1230 and 52794060?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 167, 1937, 6837, 16433, 32291, 55977, 89057, 133097?\n\"Answer: 261*j**3 - j**2 - 54*j - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/177 and -17\/150?\nAnswer: 8850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 1\/89999, 0, 7 in ascending order.\nAnswer: -4\/9, 0, 1\/89999, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 620853468 a multiple of 1842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*x - 17019, -2*x - 15*j = -10*j - 11361. Is x a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 315 and 35?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 + 8*i. Let m be s(-4). Suppose 4*w - 5*t - 256 = 0, m*w + t - 142 = -2*w. Calculate the remainder when w is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -6002\/22637 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 390\/75 + 1\/(-5). Solve 0 + 0*b**3 + 1\/3*b**k + 0*b**2 + 0*b + 1\/3*b**4 = 0 for b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 v when two letters picked without replacement from bbbvbbbvbbbvbbvvvbv.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 7 - (0 - 16)) + -4673 + 4627\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61710.83 micrograms to nanograms.\nAnswer: 61710830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12 - (-8 + 3 - -1). Does 5 divide 170\/7 - l\/56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(3357\/6)\/(-3). Let g(l) = l**3 + 10*l**2 - 10*l + 3. Let m be g(-7). Let k = u - m. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-2*140\/(-10)))\/((-28)\/588).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**8)\/p*p*(p*p**(-2\/9)\/p)\/p*p*p**(1\/11)*p*p\/(p\/p**(-3\/4)) assuming p is positive.\nAnswer: p**(3611\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52 - 12077?\nAnswer: -12151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b - 100 = 77*b. Does -3\/769 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 10 + -9 + -17 + (29 - 4).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.401 (b) -3 (c) -25\/267 (d) -0.5 (e) 2\/9 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108618 - 108670 + 8*c**2 + 217288.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)\/(-2*sqrt(11)))**2 + -1*sqrt(7) + -3 - (sqrt(112) + ((sqrt(112)*-2 - sqrt(112)) + -1)**2)) + 0.\nAnswer: -4041\/4 - 29*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 280999 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 509.5, -2\/5, -0.2, 16?\nAnswer: 509.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -14*y**2 + 52*y - 190. Let b be d(7). Are b and 15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**4 + 5096*h**3 + 1638276*h**2 + 9672304*h + 8039120 = 0?\nAnswer: -634, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2. Suppose 5*s = 2*n + 1126, -3*s - s + 5*n + 894 = x. Is (-3)\/5 - (-1)\/10*s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -3 + 10 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 149, 255, 383, 539?\nAnswer: 729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 5*v - 56, -4*v - 140 = 4*j - 9*j. Suppose 2928 = -j*k + 32*k. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58084?\nAnswer: 2, 13, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 - 30*u**2 + 66*u + 1694.\nAnswer: -2*(u - 7)*(u + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, w: 1, z: 3, n: 3}. Give prob of sequence zwn.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266253 is divided by 1133?\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 11*u**2 + u - 7. Let i(c) = c**3 + 11*c**2 - 7. Let j(p) = -3*i(p) + 4*m(p). Is j(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47138218.8 rounded to the nearest 1000?\nAnswer: 47138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -388*q**2 - 2 - 2302*q**2 + 276*q**2 to the form b*q**2 + w + u*q and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 2*q - 115, 4*q + 23 = -0*b + b. Let u(t) = 12*t. What is the remainder when b is divided by u(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -4 + 7 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 64 = -0*f + 2*f, -6 + 1 = 19*d - 20*d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 66870000 to the nearest one million.\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 17*s**2 + s - 22. Let z be u(17). Let y = -1 - -5. Suppose 0 = -y*v - 0*v. Sort v, -3, z in decreasing order.\nAnswer: v, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 40, 196, 470, 874, 1420, 2120, 2986, 4030?\n\"Answer: 2*f**3 + 47*f**2 + f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -153 + 2296\/15. Let y(h) be the first derivative of 0*h + 0*h**3 + 0*h**2 + g*h**5 - 2 - 1\/18*h**6 + 0*h**4. Factor y(f).\nAnswer: -f**4*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (270\/40)\/((-20)\/(-240))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 2:16 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 375 + -383.181. Round r to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 2cd8c?\nAnswer: -2cd90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 times 235528?\nAnswer: 15780376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3.3, -1\/9 in descending order.\nAnswer: 5, -1\/9, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*z + 48, -3*q - q + 42 = -z. Let l(u) = 342*u - 5123. Let x be l(15). Is q != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -29. Suppose 0 = 4*p - 28 + 4. Let c be (p\/(-4))\/((-66)\/(-8)). Put -0.5, c, b in descending order.\nAnswer: c, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 4:27 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/8, -5, -0.2, -0.5.\nAnswer: -5, -0.5, -0.2, 9\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 200752?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 7, a: 1}. What is prob of sequence va?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -717 - -1166. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five quarters of a decade?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68007002*i**2 - 68007002*i**2 - 1677*i**3.\nAnswer: -1677*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -42 (b) 12639 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 10537208?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/16758379 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(2*q - 3*q + 2*q) + 22*q + 7*q + 18*q + (-3 - 1 + 2)*(-q - 5 + 5).\nAnswer: 51*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 168 = 182. Does 25 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/f**(-4))*f*f**6*f)**42 assuming f is positive.\nAnswer: f**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - 122022002201?\nAnswer: -122022002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-11)\/(-44))\/(2\/72). Suppose l + 51 = 6*w. What is the remainder when 139 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 - 3*k - 2. Suppose -3*q + 0*u + 29 = -2*u, -4*u = q + 9. Let s = q - 3. Is 5 a factor of n(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123786 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - -1)*((-16)\/24 + -1) + 5176?\nAnswer: 3, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 5. Suppose -5*h + 2*h + p + 11 = a, 36 = 4*h + 4*p. Solve 2*f + 2*b + 10 = 0, h*f = -3*b - b - 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-5)*375\/(-6). Suppose 2*h = -3*h + m. Let g = 53 - 45. What is the smallest common multiple of g and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -9*t**3 - 24*t**2 - 5*t - 4. What is r(-3)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27966437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -6*m**3 + 5*m**2 + 6*m. Let w be t(-4). Let d = w - 650. What is the common denominator of (-4)\/6 - d\/72 and 31\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4.9+904\nAnswer: 899.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c = 677 + 403. Suppose -c = -i - 56. Suppose 0*s - 2*s + 41 = -3*n, i*s = 5*n + 85. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2 - 0 - ((-7 - (-4 - 16)) + 6).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -18, 5 in descending order.\nAnswer: 5, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 370559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3681.542 litres in millilitres?\nAnswer: 3681542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**4\/4 + 2*s**3\/3 - s**2 - 5958*s. Give u(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31182487, -124729964, -280642425, -498919870, -779562299, -1122569712, -1527942109?\nAnswer: -1995679490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y**3 + 5*y - 5. Let t(p) = 4 - p + 3 - 6. Let h be ((4 - 0) + -1)*(-6)\/(-18). Determine h*o(r) + 5*t(r).\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 - m**3 + 13*m - 9 + 2*m**3 + 16*m**2 + m. What is the tens digit of a(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 - 16 + 6 - x + 9 in the form n + d*x + u*x**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 1:59 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-300)\/8*(2 - 6\/(-9)). Let n be -5*24\/i*120\/9. Find the first derivative of -8 - 3*m**2 - 9 + n*m**2 + 2 wrt m.\nAnswer: 26*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 2*z**2 - z + 2. Let h be y(0). Solve h*v + 2*s - 18 = 0, -13 = -0*v + 3*v - 5*s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1563 - -1594. Is d > -2\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 241154.559 to the nearest 100.\nAnswer: 241200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 3:55 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 10*v = 10102 + 4368, -2*b - v + 9692 = 0. What is the least common multiple of b and 2910?\nAnswer: 14550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + -130\/3. Let a = 2.1 + -0.3. Let n = -4.8 + a. Put -4, n, t in decreasing order.\nAnswer: t, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4620 - -4622. Solve 23*j = f*j + 105 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4*c - 15 = 5*c, -2*q + 3*c = 11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2\/15 + 18*q\/5 + 52\/15 = 0. Calculate q.\nAnswer: -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 1. Let b be w(0). Let j = 3 - b. Let u be (0 - 3) + 3 - -8. Solve -5*z - u = j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 - (13 - (6 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130114011 - 1?\nAnswer: 130114010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -530?\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 0. Suppose 0 = -3*t + d. Suppose 0 = -3*i + 9*i - 6. Is t smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p + 6. Let w be c(6). Let k be ((-66)\/9)\/(1\/w). Calculate the common denominator of -57\/2 and 3\/6 - (-54)\/k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 24, -3, 4 in descending order.\nAnswer: 24, 5, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*c**2 + 537*c - 181*c - 175*c - 181*c.\nAnswer: -23*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12271 + -368041\/30. Find the common denominator of q and 103\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 45686297.991 from 0.2.\nAnswer: -45686297.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3440\/9 - -382. Let f = 32.4 + -32. Which is the biggest value? (a) f (b) r (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 801.4184ng?\nAnswer: 0.0000008014184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.032 less than or equal to 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 14 = -2*o + 9, -3*o - 4*d + 9 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**3 - 45*h**2 - 135*h - 1292. Give x(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**8\/2520 + q**5\/5 - q**2. Let v(s) be the third derivative of l(s). Let z(y) = y**2. What is z(v(a))?\nAnswer: 64*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3461*q + 6273*q - 2827*q.\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(0 - 3 - 3577\/(-1176)). Solve d*t + 263 = -25 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3 + 4 - 2*p**2 - 1. Let f(s) = 4*s. What is f(b(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -14*s**2 + 4*s. Let l(r) = -85*r**2 + 25*r. What is 25*i(g) - 4*l(g)?\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tlsiissltlsst. Give prob of picking 1 t and 1 s.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*11\/((-121)\/(-33))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 127*k. Let t(x) = -x**2 - 138593. Give s(t(c)).\nAnswer: -127*c**2 - 17601311","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 156. Let k be 3\/(-2) + 12\/(-16)*-2. List the prime factors of j(k).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**15*(i*i**(-2))\/i*i*i*i*i**(-23)*i*i*i**(-12))**(19\/5) assuming i is positive.\nAnswer: i**(-323\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 62 - 46. Suppose 0 = -4*k - 3*i + 7, 3*k + 3*i = i + 4. What is the units digit of -15*(5 + k - v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 1685*d + 8.\nAnswer: -1685*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-2)*3 + 1. Let z(u) be the third derivative of 0*u - u**2 + 0 + 0*u**y + 1\/3*u**3 + 1\/30*u**5. What is the first derivative of z(m) wrt m?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a - 6. Let y(z) = -8*z - 18. Calculate 11*d(w) - 4*y(w).\nAnswer: -w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 460710892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 3*p + 2*p)*(-243*p + 22 + 243*p + 3*p**2).\nAnswer: 3*p**3 + 22*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -187 + 186. Let b(i) = -136*i**3 - 5*i - 5. Is b(d) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 16*s + 67. Let a be h(18). Suppose -j + 5*j - 128 = 0. Suppose j*k - a*k = 28. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5376*p**4 - 416559840*p**3 - 379369971*p**2 - 115066560*p - 11622900 = 0.\nAnswer: -5\/16, -2\/7, 77486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**3 + 6*j**3 - 5*j**3 + 25*j**2 - 21 + 21 - 2 as a*j + o + t*j**3 + m*j**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 64757*c + 1295166. Determine j(-20).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 8*o = -8. Let j = 76 + -70. What is the highest common divisor of o and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3 = 25. Suppose -m*l = -5*l - 8. Suppose l*w = 268 + 12. Is w a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -194, 168, 764, 1600, 2682?\n\"Answer: i**3 + 111*i**2 + 22*i - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72*60\/360*((-20)\/5)\/32?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(396) - sqrt(396))\/sqrt(12))\/sqrt(3).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 405595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17 and 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4768492604.\nAnswer: 2, 1192123151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -81644034 divided by 6\nAnswer: -13607339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -63399197?\nAnswer: 253596788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.08 to zero dps.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/5 + 1126110*l**3.\nAnswer: -2*l**3*(l - 2815275)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minus -438518?\nAnswer: 438792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -6. What is the units digit of 3\/3*-3 - m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 22*a**3 - 3*a**2 - 4*a. Calculate the remainder when m(2) is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + i - 112 + 32, -7*w + 125 = 4*i. Let w*h + 225\/2 + 1\/2*h**2 = 0. Calculate h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 u, 1 z, and 1 j when four letters picked without replacement from {g: 2, z: 3, j: 1, m: 4, u: 4}.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34.4823 - -1.0057. What is b rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(171) + 5 - sqrt(171)) + (0 + sqrt(171))**2*6 + -5 + ((1*-1*sqrt(931))**2 + sqrt(931) + 2*(1 + sqrt(931)))*-3.\nAnswer: -1774 - 63*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 90658 or 90665?\nAnswer: 90665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102614 = 241*p + 115628 for p.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-35)*45*(-3)\/((-9)\/21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1606311*b**5 + 5777*b - 8.\nAnswer: -32126220*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 103350351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2 - 2 - -1) + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**3 + 41*h**2 + 22*h + 6. Let l be m(21). Solve 22 - l = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/5)\/(3\/(-15)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-28)*(-111)\/740*10?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 8 + -4 + -1 - -45.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-288)\/(-20))\/8)\/(6\/(-20))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34035 (base 7) to base 8.\nAnswer: 20631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107619181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**3 + 4*k**2 + 22*k - 3. Let p be d(6). Let w = p - -809. Solve -3*t - 17 = -2*a - 0*a, w*a - 4*t - 20 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 766.2207m to nanometers.\nAnswer: 766220700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -574 - -368. Let i = -133 - m. List the prime factors of i.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**2 - 13*f - 7. Let o(t) = -2*t**2 - 9*t - 5. Let p(j) = 5*b(j) - 8*o(j). Let q be p(10). Suppose 0 = -4*a - a + q. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 539 = -19*k + 7. Let b be k\/(-6) - (208\/(-24))\/(-13). Let g(h) be the first derivative of -2*h**2 + 4*h - 3. Determine g(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-10)*4*540\/36\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05134 - -0.87366. What is the nearest to -2\/7 in w, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**3 - 398088*d**2 - 3423169*d + 1432962 = 0. Calculate d.\nAnswer: -79609, -9, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 672702.03 microseconds to weeks.\nAnswer: 0.000001112271875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, l: 1, i: 2, s: 1, k: 11}. Give prob of picking 1 i, 2 a, and 1 l.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 - 2*i + 3. Let v(y) = -5*y**2 + 6*y - 8. Suppose 0 = -38*b + 36*b - 20. Let d(o) = -4*o - 29. Let h be d(b). Give h*m(w) + 4*v(w).\nAnswer: 2*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86946.9999912847 - -86947. Round a to 7 decimal places.\nAnswer: 0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1048937?\nAnswer: 73, 14369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82427.22nm to micrometers.\nAnswer: 82.42722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*c + 9620 = -129*c + 201*c for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 4414442503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9290496779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-272034)\/(-105791)*(-28)\/138?\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 + 2*p - 55 - 7*p.\nAnswer: -5*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 9*j**3 + 15*j**2 - 3*j + 5. Let y(x) = -5*x**3 - 8*x**2 + 2*x - 3. Give 3*c(s) + 5*y(s).\nAnswer: 2*s**3 + 5*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00268828888 rounded to four dps?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - 1. Let g(b) = b**3 + 5*b**2 + b + 7. What is g(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = 2*t - g - 85, -t + 151 = -3*g. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 7:23 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-417)\/9 - 1\/(-3). Let z = s + 81. Let p = z - 15. What is the smallest common multiple of 22 and p?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 19*z**2 - 128\/7 - 5\/7*z**4 + 318\/7*z - 318\/7*z**3 = 0.\nAnswer: -64, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*d**2 + 32*d**3 - 18*d**2 + 2*d**4 - 33*d**2 + 54*d**3 - d to m + l*d**3 + p*d**4 + a*d**2 + t*d and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -94449, -94459, -94469, -94479, -94489?\n\"Answer: -10*g - 94439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 49858092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (228\/(-22))\/2 + (-6)\/(-33). Let p be 3\/9*(-20 - u). What is the nearest to 3 in p, -0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -454892, -909779, -1364666, -1819553, -2274440?\n\"Answer: -454887*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3\/4 - 1515*d**2\/4 + 8381*d\/2 - 9156 = 0 for d.\nAnswer: -1526, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 15 = -2*p + 7*p, -4*u + 11 = -5*p. Let k = 433.1 - 433. Sort 0.2, k, p in ascending order.\nAnswer: k, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2*r + 11*r + 1.\nAnswer: 13*r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67117, 134235, 201353, 268471, 335589?\nAnswer: 402707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10*((-4)\/6 - 5\/(-3)). Let t(j) = j**3 + 9*j**2 - 13*j - 12. What is the least common multiple of t(f) and 1960\/(-147)*132\/(-10)?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 5. Let f(y) = 1 + 1 - y + 0*y + y**b. Does 14 divide f(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkm when three letters picked without replacement from bmkbhkmkzbbbmbbmb?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -216*r**4 + 2*r**2 + 433*r**4 - r**3 + 3*r**2 - 214*r**4 - 2*r + 1 as z*r**2 + d*r**3 + h*r + u + c*r**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25390*o*q**2*s - 2*o*s - o - 1748*q**2*s + 93*q**2 - 7*s wrt o.\nAnswer: 25390*q**2*s - 2*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 121420 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 q when three letters picked without replacement from wzqqqwqz.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -2. Which is the biggest value? (a) 1 (b) 0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (-30 - -15) - (3 + 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67148.15 - 67147.95000001. Let t = 0.2 - y. Round t to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 19*m**3\/3 + m**2 - m + 12. Give l(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2375 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -825*y = 1349*y - 128266 for y.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, f: 3, u: 3, w: 3, a: 1, e: 3}. Give prob of picking 1 e, 2 w, and 1 u.\nAnswer: 27\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25\/2 in 0.4, -0.2, -6, 1\/4, -22?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19699 + 25679. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24931 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 106553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1030383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*j = -84*j + 405. Calculate the common denominator of (33\/j)\/(27\/36) and 109\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - u + 8 = 0. Suppose -4*x + u*x - h = 0, 16 = 4*h. Let t be 3\/2*(-16)\/40. Is x greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**2 + 2*i + 2. Let z(m) = 14*m**2 + 6*m + 5. Let p be (3 - 11)\/(-1 - 0). Let q be -4 - -1 - 0\/2. Give p*o(h) + q*z(h).\nAnswer: -2*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22448446 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1 (b) 2 (c) 2\/27 (d) -9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, -1, 4, -13, 15.\nAnswer: -95, -13, -1, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.9 (b) 5 (c) 4 (d) 0.139 (e) -56\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 7*z**2 - 4*z + 10. Let x be u(-6). List the prime factors of (10 + 192)*(-3)\/x.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.791 to one dp.\nAnswer: -40.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 283, 272, 253, 226, 191?\n\"Answer: -4*j**2 + j + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14636 + -14635.77006. Let w = 1.7 + -1.47. Let u = w - h. What is u rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185885.\nAnswer: 5, 7, 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*s - 16*s + 14. Suppose -5*k = -s*n - 12, -4*k - 2*n = -0*k - 24. Put -4, k, -7 in descending order.\nAnswer: k, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/5837800 and -155\/1380468?\nAnswer: 1173397800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 11*z + 138. What is h(-5)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3985*c - 1992*c - 1996*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 43\/2 of a meter?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 + 56. Let o(x) = 8*x - 2. Let y be o(r). Suppose y*s - 27*s - 204 = 0. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13771 + 14403. What is the highest common divisor of 1343 and y?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83222207347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(154\/1089)\/(-7).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (323 - 318)*((-1)\/((-21)\/30) - 1).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414973775 is divided by 112.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*(3 + 0 + sqrt(200) + sqrt(200) + -1 + -2 + 0)**2.\nAnswer: 3997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10913 and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/5 - 6\/(-3). Solve 27 = 4*c - 3*c + 5*f, -r*f = 4*c - 28 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1023, 2013, 3003, 3993?\n\"Answer: 990*t + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189418, 188778, 188138, 187498, 186858?\nAnswer: 186218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -33.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 24. Let w be r(-24). Solve 5*g = 5*z + 5, w = -z - 2*g + 9 + 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 585, 570, 553, 534, 513, 490, 465?\nAnswer: 438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1373 or 502?\nAnswer: 1373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 1 + 0 + (-13 - 6) + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - (26 - -29 - -6) - (6 + 0).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 9) + 1 - -6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - l)*(1 - 1 + l) + 2*l**2 + 1 - 1 - 8*l + 0*l + 27*l**2 + 7*l in the form i*l + s*l**2 + b and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 + 124125\nAnswer: 124125.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0687 - 0.9313. What is the biggest value in -2, -0.1, -3, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2623525.\nAnswer: 5, 17, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154, 309, 464, 619, 774, 929?\nAnswer: 1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -131841.\nAnswer: 659205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60711 != 60712?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**4 + 41*f - f**3 + 26*f - 66*f in the form j*f**3 + c*f**4 + o + d*f + l*f**2 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 12, j: 1, w: 7}. Give prob of picking 3 w and 1 j.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -251985 smaller than -251985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (101 - 36 - 38) + 17.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8 + (-1038)\/(-24). Which is smaller: q or 45?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.600000496 + 1.6. Round w to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.056*-9\nAnswer: 0.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12259 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**3 - 4*j**2 - 3*j + 4. Let s be b(-3). Suppose -4*k + 21 - 183 = 2*x, -4*x = -k - 45. Let p = s + k. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 7*y**2 + 2*y - 8. Let k(x) = x - 4. Let v be 0 - 22\/(3 - 5). Let f be k(v). What is j(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**5\/20 + a**4\/12 + a**3\/6 + a**2\/2 - 31*a. Let w(d) = 3*d**3. Let z(s) = -w(s) + 2*y(s). What is z(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 6*b**2 - b - 1. Let a be v(-6). Suppose k + o = 4, a*k + 4*o + 3 = 20. Calculate the smallest common multiple of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*n - 71*n + 50*n + 164*n**2)*(-2*n**2 + 0*n**2 - 2*n**2).\nAnswer: -656*n**4 + 32*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18912\/(-370360)*2\/((-8)\/(-2)))\/((-3)\/(-10)).\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.257991 and 0.079.\nAnswer: -0.020381289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/3)\/(2\/6). Let y(d) = l*d - 2*d**2 - 3*d + d + 4*d. Let j(p) be the first derivative of p**2\/2 - 134. Give y(j(v)).\nAnswer: -2*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 97297078 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/21 + 5200\/(-672) and (-38)\/(-32) + 0 + -2?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 3*n + 3. Let z be d(4). Let k be 4*(7\/(-6))\/z. Let s = 104\/9 - 502\/45. What is the third biggest value in s, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 - -34. Let g = 39.4 + y. Let p = -31.7 + g. Round p to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/35 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-12.50506.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 11 = 3*f - 2, -5*f + 31 = t for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 6:37 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 101 = -3*t + 102, 202 = 3*t + 5*y. Let s = 79 - t. What is the common denominator of 52\/9 and 18\/(-63) - s\/(-84)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11387 divided by 2041.\nAnswer: -11387\/2041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91149131?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**4\/5 + 692*d**3 = 0. What is d?\nAnswer: 0, 1730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**2\/7 + 180*j\/7 + 176\/7 = 0.\nAnswer: -44, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 8 = -26. Solve 19 + b = -7*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -216753.3625 rounded to the nearest 100?\nAnswer: -216800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u - 845 = -2*q, -5*u - 4*q + 845 = 0. Is u a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 - (-34 - -27 - -49).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 3472 in increasing order.\nAnswer: -4, 6, 3472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -531, -600, -671, -744?\nAnswer: -819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**4 + 36*w**3 - 3*w**4 + 20*w + 60*w**2 - 105*w**3 + 49*w**3 - 56 = 0. Calculate w.\nAnswer: -7, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 36902 + 521*i + 132122 - 420*i - 1481*i.\nAnswer: 5*(i - 138)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -1. Let y(l) = -l - 4. Let r(d) = -11*g(d) + 4*y(d). Give r(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 6.6. Let y = 4 - h. What is the nearest to 1 in -5, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54872677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -142?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -689, -2776, -6263, -11150, -17437, -25124, -34211?\n\"Answer: -700*k**2 + 13*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.6 + 68.4. Let t = z - 82.000083. Round t to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5133 and 359236427?\nAnswer: 1711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -9 and 56\/89 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*m = 49*m - 443*m - 6800 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29485 (base 14) to base 12.\nAnswer: 4b339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130 and 5 - -1 - (3 + -2).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - x**2 - 3*x**2 - 6*x**2.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5000 - 6?\nAnswer: 4883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -728552606 + 5.\nAnswer: -728552601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(4\/7)\/w)**(-20)*w**(-1\/3)\/(w\/((w**(-33)\/w*w)\/w*w)))**(-1\/32) assuming w is positive.\nAnswer: w**(541\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6941937411?\nAnswer: 3, 2029, 42239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12 and -3254420404?\nAnswer: 3254420416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/2625120 and -83\/1695390.\nAnswer: 81378720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m*m**(-1\/5)\/m))\/(m\/m**(-4)))\/(m**(-2))**(-29\/2))\/((m**0)**(15\/7)*(m*m**(5\/4))\/((m*m**(4\/5)*m)\/m)) assuming m is positive.\nAnswer: m**(-137\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-4) - 256\/(-42)) + -3 + 0?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 7*c + 3*c)*(-2*c - 1 + 1) + 0 + c**2 + c**2 + 2.\nAnswer: -8*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 350 = 4*d, 0 = 2*k - 0 - 4. Let t = -78 + d. Solve -2 = -t*i - 30 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99 - 95. Find the second derivative of -7*f - 67*f**g + 23*f + 17*f**4 + 16*f wrt f.\nAnswer: -600*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4131397063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s + 98. What is g(26)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*n + 42. What is the remainder when n is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -51823, -53643, -55463, -57283, -59103?\n\"Answer: -1820*l - 50003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -20*d + 1. What is the remainder when p(-2) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**2\/11 + 836400*t\/11 + 60210432\/11 = 0.\nAnswer: -418128, -72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 259. Suppose 35 + b = 5*y. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2 - 28 = 0. Let m(r) = r**3 + 9*r**2 - 11*r + 6. Calculate the smallest common multiple of (-1206)\/(-99) - (-4)\/(-22) and m(k).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -154864 - -27730250.\nAnswer: 27575386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 7:20 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**3\/4 - 56470*n**2 - 4290637*n - 81515244 = 0. Calculate n.\nAnswer: -225804, -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 4*l**2 + 2*l - 5. Determine u(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 37*s**4 + 2*s**3 - s**2 + 36*s**4 + 10 + s - 115*s**4 + 39*s**4 in the form b*s**4 + l + z*s**2 + d*s + h*s**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 41*u + 17*u + 25*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xitxixxxitxxit. What is prob of picking 3 x and 1 i?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*u + 48. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -194? (a) -1\/169 (b) -0.5 (c) -1 (d) -0.3 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2326*c**5*d**3 + 2*c**2*d**3 + c**2*d - 84*c wrt c.\nAnswer: 139560*c**2*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.3487 - 4.37. Let n = 0.9787 - b. What is the third smallest value in -5, 22, n?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 143707 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3 = -5*q, -4*q - 5*j - 23 = -5*q. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(12\/(-8)) - -10. Let d(i) = -8 - i + 0 + g. Calculate d(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**2 + 2891338*b - b**3 - 3*b**2 - 2891208*b + 9 to o*b + i + d*b**2 + k*b**3 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 39 + 6 = 0. Let r be (44\/55)\/((-3)\/15*-2). Suppose u - j = -r. Which is bigger: 8 or u?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 0*m**2 + 3*m**2)*(-1 + 1 - m) + 2 - 2 + m**3 - m**2 - 4*m**3 + 0*m**2 + 0*m**3.\nAnswer: -2*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41)\/155 - (-194)\/970?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -748*j**4 + 24*j**3 + 4*j - 2479. Let g(v) = v**4 + 12*v**3 + v. Let x(s) = -2*g(s) + n(s). Differentiate x(k) wrt k.\nAnswer: -3000*k**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l + 138 = -24*l. Calculate the remainder when 70 is divided by l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 196643, 196656, 196659, 196646, 196611, 196548, 196451?\n\"Answer: -d**3 + d**2 + 17*d + 196626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03703 - -43.24703. Let o = n - 43. Let i = -0.21 + o. What is the closest to 5\/4 in i, 3, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2))**18*(h\/(h\/((h\/h**(-2\/21)*h)\/h)))**22)**(-5\/8) assuming h is positive.\nAnswer: h**(625\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*p = 62*p - 23*p + 275 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*d + 46*d - 36. Let k(w) = -w**2 - 30*w - 131. What is the remainder when k(d) is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -77*l + 58. Suppose v + 19 - 10 = 0. Is k(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 20569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/5 + 342*u**2\/5 - 19494*u\/5 + 370386\/5 = 0 for u.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-1))\/(15\/(-5)). Suppose -c*u - 192 = 2*v + 2*v, -4*u - 5*v = 372. Calculate the smallest common multiple of (u\/(-40) - 2) + 109\/5 and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + 50 - ((-2 - -2) + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 9:38 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 489*m**2. Let r(g) = -4*g**2 + 24. Let h(c) = -3*c**2 + 20. Let p(z) = 6*h(z) - 5*r(z). Calculate p(o(y)).\nAnswer: 478242*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 7*m**2 - 5*m + 8. Let h be t(7). Let n be (1 + 0)\/(3\/h). Let y = n - -11. Solve -5*o + y*o + 2*d = -6, -d = -5*o + 17 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 + 67. Suppose 2*y + 5*g = 1404, 19*g = n*y + 21*g - 1398. Does 67 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 6 = 0, 4*d + 2 = -4*j + 22. What is the greatest common factor of d and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2053\/7 = -537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**3\/3 + m**2\/2 + 3*m - 2. What is r(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 10 = 0, -3*w - 19 = -2*q + 4. Suppose -q*o - 6*d + 4*d - 10 = 0, -2*o - 20 = 4*d. Solve o = t + 5*r + 24, -4*t = -t - 5*r - 28 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, c: 4, d: 5}. What is prob of picking 2 c?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*w**3\/7 - 224*w**2 + 51740*w\/7 - 33800\/7 = 0. Calculate w.\nAnswer: 2\/3, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -277118 + -354801?\nAnswer: -631919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.17, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -34. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24668 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**5 + 10*n**4 - 45*n**3 - 10*n**2 + 40*n = 0. Calculate n.\nAnswer: -4, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 33 = -h + 3*f, -52 = -2*h - 4*f. Let v = -10 + h. Let t = 21 - v. Solve -15 = t*p + k, -15 = 4*k - 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**7*p**(12\/5))\/(p**(2\/5)*p**(-2\/7)) assuming p is positive.\nAnswer: p**(65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p - 17. Let w be l(3). Calculate the remainder when 22 is divided by ((-3 - 0) + w)\/(4\/52).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 594 and 62029.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 320904491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -10*o**4 - 6*o**3 + 14*o**2 - 5*o. Let q(t) = 3*t**4 + 2*t**3 - 5*t**2 + 2*t. Let d(x) = -7*q(x) - 2*u(x). What is s in d(s) = 0?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okkookqkooetv. What is prob of sequence eqt?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -243, -496, -743, -984, -1219?\nAnswer: -1448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(-1)*8\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -78355, -78359, -78371, -78391?\n\"Answer: -4*v**2 + 8*v - 78359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*(k\/k**(-22))\/k)*k)**(3\/13) assuming k is positive.\nAnswer: k**(-63\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 598*j**2 - 27 + 4*j + 55 - 10*j.\nAnswer: -598*j**2 - 6*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (2 - -4) - 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 4\/5, 1, -4822950 in decreasing order.\nAnswer: 1, 4\/5, 1\/3, -4822950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -852 - -852.172. Let u = l + -18.172. What is the second smallest value in 1.8, 5, u?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -109*u - 6. Let i be m(-2). Let b be ((-63)\/105)\/((-13)\/4615). Which is smaller: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.8518 and 0.5.\nAnswer: -1.3518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 1. Calculate v(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 624146 to the power of 1\/2, to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(4332\/361)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 4*b - 7*b - 48, -6*b - 81 = 3*l for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 503286?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 5 = 5*i + 4*m, 0 = -3*i + m + 26. Suppose 3*n + i = 4*c, n + 3*n + 2*c - 20 = 0. Factor 5*k**2 - 3*k**2 - 2*k**4 - 2*k**3 + 5*k**5 - n*k**5.\nAnswer: 2*k**2*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 2)*(-4431*q + 8303*q - 4257*q)*(2 + 0 + 0) as k*q + z and give k.\nAnswer: -2310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1)*y\/(y*y\/(y**(1\/3)\/y*y))*(y*(y**0*y)\/y*y)**(2\/15) assuming y is positive.\nAnswer: y**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/(j**(1\/15)\/j))*j)\/j**(-12))\/((j\/(j*j**7*j))\/(j\/((j*j*j\/j**(-5\/6))\/j)*j)) assuming j is positive.\nAnswer: j**(547\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3*z - 5 = 0, 0 = -5*t + 2*t + 5*z - 27 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19894, 39981, 60070, 80161, 100254?\nAnswer: 120349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 918 and 204?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2985, -3, 4, 1 in descending order.\nAnswer: 2985, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 4*o - 9. Let u be r(6). Let q(j) = 2*j**3 - 320*j + 4*j**u + 328*j. Let y(c) = c**3 + c. Calculate 3*q(v) - 24*y(v).\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjqjjqsqjqjjsnjjnj. What is prob of picking 1 q, 1 j, and 1 s?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 5*i + 110. Calculate the least common multiple of i and 28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33139603 and 37873832?\nAnswer: 265116824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(45\/20 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/15)*(k**(-2)*k)\/k)\/(k**(1\/11)\/k*k**(-7)) assuming k is positive.\nAnswer: k**(1118\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387003567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2284832 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -13. Let m = -4 - a. Suppose m*o - 57 = 5*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52\/7 in -1, -0.3, -11\/36?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) -46 (c) -0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 62.04609 - -81.7\nAnswer: 143.74609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.222 - -6.522. Let o(u) = -u - 7. Let h be o(-6). Let l be ((-10)\/16 - h)*-1. Which is the biggest value? (a) l (b) s (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 5*t + 12. Let x be z(-4). Solve -5*k - 6 = b - 22, -5*b - k = -x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156 divided by -26.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 5*a**2 + 5*a - 1079. Let w(r) = -r**3 + 6*r**2 + 5*r - 1079. Let g(f) = 6*w(f) - 7*x(f). Is g(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339898954817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = g + 3*i, -i + 1 = g - 2*i. Suppose 0 = 2*t + 2*t - g*x - 8, -3*t + 5 = -2*x. Solve -l**2 + l**2 - l**2 + 2*l**t - l**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11, 18, -6, -3, 1322, 0 in descending order.\nAnswer: 1322, 18, 0, -1, -3, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56669*n**2 + 56669*n**2 - n - 11 - 87 + 2*n**3 to b + x*n + j*n**3 + d*n**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 12:15 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 3\/5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3088, 6271, 9454, 12637, 15820, 19003?\nAnswer: 22186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -58495 in ascending order.\nAnswer: -58495, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 160341870 divided by -4?\nAnswer: -80170935\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2071 less than 9\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -22540 divided by 5\nAnswer: -4508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3382.92135 - 3383. Round a to three decimal places.\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 3. Let v = -1 + 0. Let x be 91 + v + -1 + 1. What is the highest common factor of u and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/10 - 21099*f\/5 - 445167801\/10.\nAnswer: -(f + 21099)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 7:02 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/(-645)*288\/336?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggq when three letters picked without replacement from kegbgqekge?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8409, 8377, 8359, 8361, 8389, 8449?\n\"Answer: w**3 + w**2 - 42*w + 8449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w + 28*w**2 - 4*w + 2 - 3. Is u(1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 + 3*w - 27. Calculate the remainder when o(15) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 74 + -316?\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 3 - -4) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3550799 * 6.\nAnswer: -21304794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = m + 3*w - 2064, -3*m + 1559 = 5*w. Suppose -m = -3*l - 0*l. Let p = 0 - -19. What is the highest common factor of l and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -130, 7, 1, 61 in descending order.\nAnswer: 61, 7, 5, 1, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13961765*f**2 + 46116870 with respect to f.\nAnswer: -27923530*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-56) + 13\/7. Suppose 3*d = 2*g + 3, -20 = 5*g + 4*d + d. Let k be 3 - 2*g\/6. Solve u - k*u - y*f = 13, 5*u + f + 10 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317107?\nAnswer: 7, 89, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + p = -1094, -4*p = -3*s - s + 2188. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 45861, 46057, 46385, 46845, 47437?\n\"Answer: 66*h**2 - 2*h + 45797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -51195143 divided by -48161?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*g + 3*i, -5*g + i = 0. Let r = 2 + g. Let w(p) = p. Let x be w(2). Solve n - 3*n - 4 = -r*q, 2*n + x*q = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**4 + 4380*l**3 - 985788*l**2 + 63141028*l.\nAnswer: -4*l*(l - 817)*(l - 139)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**38\/p*p*p**(1\/21)*p*p**(3\/13)\/p*p**(-7\/6) assuming p is positive.\nAnswer: p**(20809\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 72*w = -80*w - 87*w - 1780 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 34 - (-11 + (24 - (-13 + 35))).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 735 - 735 = -10*p - 21*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -16*s**2 - 30*s - 158. Let b be f(-6). Let z = b - -556. Put z, 0, 34 in descending order.\nAnswer: 34, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -62. Sort g, 4, -11.\nAnswer: -11, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 19 = f, 3*b - 3*f - 9 = b. What is the smallest common multiple of 52 and b?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 42, 7, 5, -106 in ascending order.\nAnswer: -106, -4, 5, 7, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/219 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23801, -23827, -23851, -23873, -23893, -23911, -23927?\n\"Answer: l**2 - 29*l - 23773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 0 - 3*a + 1\/3*a**4 + 1\/20*a**5 - 2\/3*a**3 - 2*a**2. Calculate t(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o**2 - 104*o + 90. Determine k(-24).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 15195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113*v - 1 + 113*v - 25*v**2 to the form s*v + k + h*v**2 and give h.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 + 68. Let h = -1 - d. Let g(l) = l + 25 - 8 - 1 - h. What is g(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5307984 to the nearest integer?\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 0*f. Suppose 0 = -5*g - f*l - 2*l + 35, -5*g + 3*l + 35 = 0. Is (-7)\/(g\/(-12))*2 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*h - 2*i, 0*h - 3*h + 22 = 5*i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*r - 0*g + 5*g, -2*r - g + 15 = 0. Calculate the smallest common multiple of ((-8)\/6)\/(r\/(-84)) and (6\/2 - -1)\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7635, -14716, -21801, -28890, -35983, -43080, -50181?\n\"Answer: -2*f**2 - 7075*f - 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 19*u + 21. Determine z(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 188\/3 + -62. Let p(h) = 5 + 0*h + 4 - 5 + 4*h + 2. Let j be p(-1). Which is greater: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 4*a**6\/5 - 12*a**2 - 35*a. What is the derivative of l(t) wrt t?\nAnswer: 96*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18401211 to four dps.\nAnswer: 0.184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 15 + 9 = 0. Suppose -5*c + 3*t + 2368 = -503, 2*c - v*t = 1154. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 3. Let v = -168 - -272. Suppose -4*n = -12 - v. Solve 2*g - 7*g = -s + n, i*s + 3*g = -7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5000 at most as big as 2581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16500)\/1980*(-18)\/(-70)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/5)\/y)\/(y\/(y**(-3)*y)))**3*((y\/(((y\/((y*y\/(y\/(y\/y**3)*y))\/y*y)*y)\/y*y)\/y*y))\/(y*y**5*y))**(12\/19) assuming y is positive.\nAnswer: y**(-1854\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -509221?\nAnswer: 509225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*y + 1. Suppose 6 = -y*x + 15. Solve -x*z - 6 = -2*f + 14, -4*f + 28 = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3854?\nAnswer: 2, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.40861 rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 147cb + -4?\nAnswer: 147c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -70, -0.099896?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 4*k**4 + 15)*(0*k + 2*k - 3*k).\nAnswer: -4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4.3 * -15.1\nAnswer: 64.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 b when four letters picked without replacement from bjbjb.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, b: 2, o: 5, j: 8, c: 1}. Give prob of picking 2 b and 1 c.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millennium in centuries?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 11*p**2 - 17*p. Suppose -5 = -4*r + 3. Let y(q) = -r*q + 5*q**2 - 6*q + 0*q**2. Give 6*u(b) - 13*y(b).\nAnswer: b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11919 = 27*m - 663. List the prime factors of m.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, v: 2, r: 7, w: 1, z: 5}. Give prob of picking 1 z and 2 r.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 6*w**2 - 6*w - 11. Let r be g(-9). Round r to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 864770503*k**3 + 4458*k**2 + 5*k + 1364 wrt k?\nAnswer: 5188623018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1389 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: Express -21*w + 21*w - 10*w**3 + (0 + 2 - 3)*(0*w**3 + w**3 + 0*w**3) - 2704*w**3 + 6051*w**3 - 2933*w**3 in the form b*w**3 + l*w + q + a*w**2 and give b.\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-50)\/(-225) - 1684\/612. Does g = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 475 = -3*n. Let g = -276 - -376. Let y = -81 + g. What is the highest common divisor of y and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**2 + 146196588*b - 146196588*b - 19*b**2.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -130234 - 3?\nAnswer: -130242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 - 63*j. Let z(w) = -161*w + 48*w + 105*w. Calculate o(z(i)).\nAnswer: 192*i**2 + 504*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-18)*c)\/c)\/(c**(-13\/2)*c) assuming c is positive.\nAnswer: c**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 12*k**2 + 67*k - 725. Let x(w) = 5*w**2 + 34*w - 362. Let a(p) = -3*n(p) + 5*x(p). Differentiate a(o) with respect to o.\nAnswer: -22*o - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, 8, -4\/1443, -1\/6, 1\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -4. Let y = 77119 + -77120. What is the closest to y in 1, t, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-2) - 22\/44. Solve -18 = -4*z - 2*q, 3*z + f = -q + 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 452 - 335. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17948, -35899, -53852, -71807?\n\"Answer: -j**2 - 17948*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 28292+-0.036793094\nAnswer: 28291.963206906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 5. Is -1\/6 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86.57 - 86.87. Which is the fifth smallest value? (a) v (b) 3 (c) 0.5 (d) 18\/7 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, s: 1, c: 3, v: 1, f: 2}. What is prob of picking 1 v, 1 u, and 1 f?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k + 105*k = 25620. Solve 0 = 10*l - k + 280 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 331, 154, -23, -200?\n\"Answer: -177*o + 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 103*a**3 + 28013*a**2 + 1904272*a - 55488.\nAnswer: (a + 136)**2*(103*a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(-4*w + 2*w + 4*w)*(w - w + 3*w**2).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 divided by -4344?\nAnswer: 29\/1448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-14) + 66\/14. Suppose c*a = 8 + 2. Suppose f = -a, 292 - 9 = 3*u + 4*f. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -1 + (-4)\/(-2). Let h = 3 - o. Suppose 2*n = h*w - 32, n = 5*w - 49 - 27. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32629*t + 32526*t + 515 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 + 76*t**2 + 79*t - 56. Determine s(39).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*q + n - 15 = 191*q + 8, 0 = -4*q - 4*n + 92 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -516.3 + 520.3. What is the third biggest value in -9, w, 232?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 14408208*d.\nAnswer: -2*d*(d + 7204104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 j, and 2 k when four letters picked without replacement from xjdkkjxxxxjkjxj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 - 95. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2692\/(-10)*(5 - 90\/12). Suppose o - 7137 = -8*n. Does 80 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 2:49 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 178643119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1688619 and 5454.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.6 + 0.6. Let w = 3 - 3. Let d = s + w. Which is the third biggest value? (a) -0.3 (b) -0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + -1 + -1 - 4*(0 + sqrt(425)).\nAnswer: -15*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 149206.3 and -2.\nAnswer: -298412.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 - 269800*z + 5938020.\nAnswer: -5*(z - 22)*(z + 53982)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -795.718 and -34.\nAnswer: 27054.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07498 + -6751923.\nAnswer: -6751923.07498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - 1\/((-2)\/(-6)). Is (p + 1)\/(2\/(-28)) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4585*-0.1\nAnswer: -458.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -16*g**3 - 11*g. Let z(y) = -8*y**3 - 5*y. Determine -6*j(p) + 13*z(p).\nAnswer: -8*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 15 - 12 + 4 - 15.\nAnswer: 4*n - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 z when four letters picked without replacement from zyzyyzzzzzyyzzzzyz?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -374 - -2237\/6. Let s be ((-8)\/(-6))\/((-2)\/(-6)). Let k(d) = 2*d**2 - 3*d - 4. What is the common denominator of k(s) and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 22.5 and -5829756.7?\nAnswer: 5829779.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1502 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 861294? (a) -10 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y - 6. Let o be r(4). Let j be 12\/o + 2\/(-1). Suppose -9*c = -27 - 81. Solve j = -3*l + c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**4\/2 - 108*f**3 - 1101*f**2\/2 - 442*f = 0.\nAnswer: -4, -1, 0, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0080553 less than 859011?\nAnswer: 859010.9919447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 34*l**2 + 32*l**2 - 67*l**2. Let j(a) = -31*a**2. Determine j(s(p)).\nAnswer: -31*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(-17))\/(-4*((50\/(-10))\/1460)\/(-1)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1118\/7 - -160. Let w(d) = -5*d + 12. Let n be w(3). Let h be (11 - 7)\/((-52)\/(-12) + n). What is the closest to 0 in h, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 75 + 275. Suppose -3*o + b = 2*o + i, 5*i = -3*o + 127. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -110\/53 or -1?\nAnswer: -110\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbkj when four letters picked without replacement from nbjnvbvvjkvjnjnjnjvb.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*a + 8*a - 2*a**4 + 125*a**3 + 47*a**3 - 102*a**3 + 7 as n*a**2 + b + t*a**4 + s*a + r*a**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10022, -8503, -6992, -5489, -3994, -2507?\nAnswer: -1028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 121045502 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228830.\nAnswer: 2, 5, 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122583336?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5741, -11511, -17281, -23051?\nAnswer: -28821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 27 + 265 - 86)*(0*i**2 + 4*i**2 - 5*i**2) to g + n*i + b*i**2 and give b.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 22 = -2029*v + 2026*v, -19*v = 5*c + 101 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 39 - 33. Let d(m) = 0*m + 7*m + n*m**3 - 4*m**2 + 6 - 13*m + 3*m. Is d(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -116055 (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17254*v = 17826*v + 47476 for v.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 118*i + 62*i + 57*i - 15 - 5.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -1306652\nAnswer: -1\/653326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = c - 4*c. Let t = c - 4. Suppose -49 = -t*s - 9. Calculate the smallest common multiple of s and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19741, -39476, -59213, -78952?\n\"Answer: -n**2 - 19732*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/12)\/((-3)\/(-24))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w - 460. Calculate d(-57).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61.752 + -62. Let t = 0.052 - o. Let m(g) = -3*g. Let w be m(-1). Which is the third biggest value? (a) 5 (b) t (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*3\/72*-4)\/(10\/4)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5))**(-5\/2) assuming a is positive.\nAnswer: a**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/70)\/(2\/77) - 4. What is the second biggest value in -30, 0.5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 10*n**2 + n + 2. Let w be u(2). Let c = -16 + w. Suppose -l - 2*a + 27 = 0, 10*l - 123*a = -127*a + 270. Do l and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -171*r**5 + 2294730*r**3 + 2*r**2 - 2294730*r**3 + (5*r + r - 3*r)*(2*r + r**4 - 2*r).\nAnswer: -168*r**5 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (-65 - -1))*1\/3. Let t be -19 + b - 56\/5. Which is smaller: -8 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -738*v = 1460*v - 513*v - 47180 for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/120 - 601\/(-6). Is x <= 99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((-31)\/(-465)*105)*1\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 261859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, e: 1, a: 1, p: 1, g: 2, x: 1}. What is prob of picking 1 g and 1 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -8, -t + 3*z + 63 = -0*z. Calculate the remainder when t is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/461 + 29963\/922. Let t = 879 + -5219\/6. Let c = t - 194\/21. Find the common denominator of c and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3 = -2*x + 18, -h + 1 = -3*x. Let o(n) = 2*n + 3*n**2 - 29 + 56 - 2*n**2 - 33. Give o(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6224 + -6219. What is the closest to -0.1 in -0.07, s, 1\/27?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 6987.\nAnswer: 6987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*p**5 + p**4 + 3728*p**2 + 481965548*p?\nAnswer: -280*p**3 + 12*p**2 + 7456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -6. Let b = t - -3. Suppose 0 = -i + 4*h - 19, 3*h - 20 = -54*i + 49*i. Is i not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -2, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 162 + -5?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 4*z - 5. Let q(v) = 3*v + 8. Let l(p) = -2*p - 4. Let c(o) = z*l(o) - 3*q(o). Does 4 divide c(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q + 40. What is j(-8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, 4, 7, -946 in decreasing order.\nAnswer: 7, 4, -1, -7, -946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6320\/1061 + 20021\/3183. Let d be 5\/(1 - (0 + 0)). Suppose i*r**4 - 1\/3*r**2 + r**3 - 1\/3*r**d + 0 - 2\/3*r = 0. What is r?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-66) - (-31)\/(-11). Let h = 6 + r. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 + 91. Suppose 22 + m = 10*j. Solve -2*w + w = j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2\/17, 3\/10 in ascending order.\nAnswer: -0.2, 2\/17, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/113)\/t*t)\/t**(-39) assuming t is positive.\nAnswer: t**(4405\/113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27432001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 34*y**3 + 1. Let p be w(1). Suppose 0 = 6*h - h - p. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -27*f**2 + 1469*f + 448. Let j(b) = -41*b**2 + 2203*b + 664. Let i(o) = 5*j(o) - 7*l(o). Solve i(p) = 0 for p.\nAnswer: -1\/4, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c - 11425 + 2*c**4 + 11374 - 5*c - 2*c**3 to the form n + s*c**2 + h*c + d*c**4 + x*c**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 613 + -528. Let w = u - 58. Suppose -c + 9 = 3. What is the remainder when w is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 262 + -465. Let k = w - -307. What is the third derivative of -k*r**2 + 3*r**3 - 5 + 96*r**2 + 5 wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1930560 and 480.\nAnswer: 1930560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39185120 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53\/2 - -27. What is the nearest to 0 in z, 4, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 546\/8621 or -1?\nAnswer: 546\/8621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15208667 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 48\/20 - 6\/15. Is (2 - (v - -2))\/((-6)\/4755) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89964579 is divided by 470?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**5\/5 - 2*j**4 + 31*j**3\/3 + 830*j - 3554. Differentiate o(c) with respect to c.\nAnswer: 4*c**3 - 24*c**2 + 62*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 202170096.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 7*a + 2*n - 530, -4*n = -5*a + 560. Suppose -4*d + 20 = -a. Solve 3 = -c, 4*b + 3*c + d = 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4) + 92\/8. Suppose 2*k = 2*a + 20, a + 4*k - 54 = 6*a. Let i = a + 26. Calculate the greatest common divisor of i and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*f - 31*f + 57590. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 396619.72 rounded to the nearest 10000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89 - 87. Let j be 8\/21*((-117)\/(-26) - 1). Suppose -j*n - 2\/3*n**a - 2\/3 = 0. What is n?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10, 16, 36, 76, 142?\n\"Answer: z**3 + z**2 - 4*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-25)\/15)\/(1\/(-3)). Let n(k) = k + 1. Let u be n(x). Find the third derivative of 2*i**2 + 2*i**6 - 2*i**6 - 4*i**u wrt i.\nAnswer: -480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 596188148452 + -596188095413.6240389. Let d = z + -52805.37595. Let f = 233 - d. What is f rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 + 40*u - 40*u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 9*p - 34*p - 31*p + 2 - 9*p - 10*p.\nAnswer: -91*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1764994194 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 z, and 1 l when three letters picked without replacement from hlllllthhzlhl?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 3*x**2 + x - 12. Does 45 divide k(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42083 bigger than 43380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 163.129 to 0 dps.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-41 - -25) - 29) + 19?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-18))\/(3\/(-12))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26*s**4 + s**3 - 3*s**2 + 29*s + 1000064?\nAnswer: 104*s**3 + 3*s**2 - 6*s + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -4*a - 41, -36 = 2*a - 20 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -202 (base 3) to base 13\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38855279\/6520 + 696324\/163. Let s = d + -10229. Calculate the common denominator of -173\/30 and s.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxp when three letters picked without replacement from exsfpxp.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -218372 - 2628. Round x to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wyww when four letters picked without replacement from wwwywwyyywwywywyywy?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005792 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - c**2 + 5*c + 1259. Does 33 divide f(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*y - y + 4*f, 5*f = y - 20. Let n(b) = b**3 + 1. Let l be n(0). Suppose 0*w = -w - 1. Sort w, y, l in decreasing order.\nAnswer: l, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 35 = -158. Let b = -38 - h. Suppose 4*d - b*d - 70 = 0. List the prime factors of d.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12524 divided by -104477?\nAnswer: 12524\/104477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117)\/(-780) - ((-1971)\/(-140) + 65\/910).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2\/(-10))\/((-26)\/(-65)) - 136236\/(-24) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 0 - 3*c**2 + 11\/60*c**6 + 0*c**3 + 0*c + 7\/24*c**4 + 0*c**5. Find the second derivative of r(b) wrt b.\nAnswer: 132*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 9:46 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -18. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/2*12\/(-18). Calculate the remainder when 18 is divided by 2 + (7 + 2)\/p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 9. Suppose 3*l = 2*g + 19, u*g + g + 5 = -l. Suppose 16 + 4 = l*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1 (b) -4 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1805982 is divided by 138920.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.906 - -21. Let g = -2799 + 2795.206. Let m = g + o. What is m rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, b: 3, g: 1, o: 4, u: 1}. What is prob of picking 1 b and 1 e?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, d: 3, q: 1, r: 4, b: 7, j: 2}. What is prob of picking 2 b and 1 d?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -8*f**2 + 21. Let z(i) = 3*i**2 - 7. Let l(o) = 4*w(o) + 11*z(o). Let d(b) = 8*b**2 + 2*b**2 - 11*b**2 - 3. Determine 7*d(s) + 3*l(s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*s + 2. Let n be (-4)\/2*2\/(-4). Is 0\/(s + n) + 31 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2. Determine g(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 6.2. Let a = 0.1 - -0.1. Let s = a + r. Is s smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 265 + -270. Let m be (4\/(-6))\/((-51)\/9). Is m equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1532, 4, -26.\nAnswer: -26, 4, 1532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18476)\/(-30) + 48\/360. Suppose -3*d + 66 = -2*b + 302, -5*b + p = -d. What are the prime factors of b?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 223, 499, 885?\nAnswer: 1381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4606453?\nAnswer: 337, 13669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3764 to the nearest one hundred.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**31*s*(s\/(s**(-3\/23)*s))\/s assuming s is positive.\nAnswer: s**(716\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -164138, -328517, -492896, -657275, -821654, -986033?\n\"Answer: -164379*i + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -37755000 to the nearest 1000000.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1326 - -727. Let s = l + 996. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (225\/50)\/(-9)*-74?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 1:15 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 11*b**2 - 5*b + 12. Suppose 0 = -8*g + 18*g - 770. Let w = 81 - g. What is the tens digit of s(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298954?\nAnswer: 2, 23, 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (5 + ((-15)\/5)\/(-1)). Suppose -3*g + 203 = 2*j, -2*g - 3*j = -122 - 10. Which is the smallest value? (a) g (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -303, -670, -1183, -1842, -2647?\nAnswer: -3598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5271 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 w be ((-4)\/(-4) - 3)\/8. What is the closest to 1 in w, 3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 217.89 + -217. Let r = c - 0.9. What is r rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1099 + 1103. Let g(k) be the first derivative of 4\/7*k + 6 + 5\/7*k**2 + 1\/14*k**d + 8\/21*k**3. Let g(z) = 0. What is z?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/((-1580)\/948).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -5. Let n(f) = 2 - f**3 - u - 4*f**2 + 2*f - 4*f. Is n(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**3 - 3*g**3 - 2*g**3)*(-1 + 1 - g**2) + (-6 + 0*g**3 - 2*g**3 + 10)*(2 + g**2 - 4*g + 4*g).\nAnswer: -g**5 - 4*g**3 + 4*g**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 86*w**2 - 446*w - 67. What is b(5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 - ((7 - -5) + -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-4 - -3) + 2. Let b be 1 + 7 + -6 + i. Suppose 8*w - b*w - 354 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -609 by -330.\nAnswer: 203\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 19993.3576.\nAnswer: -19993.8576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.97 and -0.4.\nAnswer: 1.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -26 (c) -58\/3 (d) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 30478 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17638467 is divided by 4434?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 + 12 - 4*u + u**2 - 5 - 5*u**3 - 2*u**3 - 2*u**3 as g*u + k*u**2 + p + r*u**3 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -3, 1 in descending order.\nAnswer: 23, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v - 9*v - 5*v)*(0*v + 24*v**2 - 3*v + 5*v).\nAnswer: -480*v**3 - 40*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 9*q - 4. Let p be i(-3). What is the least common multiple of 16 and p\/6 + 1\/((-6)\/(-40))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/19649420 and 121\/7980.\nAnswer: 58948260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 136157*m - 136166. Calculate y(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 152\/36 + 2\/(-9). Let d be 26\/8 + r + (-9)\/(-12). Suppose 1 = d*q - 55. Solve 0 = 4*v - 4*u - u - q, 0 = 2*u - 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2645576 and 107\/22487396?\nAnswer: 44974792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -481 = -20*k + 2159. What is the highest common divisor of 156 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(304) + sqrt(304)*1 + sqrt(19) - sqrt(95)\/sqrt(5)*5).\nAnswer: -20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 23 = -63. Suppose -4*q = 8, -2*h = r*q - 4 + 2. Calculate the remainder when 8 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4640872.570048 + 0.1?\nAnswer: 4640872.670048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b + 123*b**2 + 91*b**2 - 102*b**2 as c*b**2 + f + x*b and give c.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -569, -1032, -1495, -1958?\n\"Answer: -463*c - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2764 > 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 412*k + 8107. Let a = -28 + 60. What is the remainder when a is divided by w(22)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25716000 (base 8) in base 11?\nAnswer: 32717a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -8, -8*y + 3*y - 17 = -3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 139329044360 rounded to the nearest 1000000?\nAnswer: 139329000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)\/sqrt(5))\/sqrt(8) - sqrt(25)\/sqrt(5)*1) + ((2 + 1 + sqrt(500) + sqrt(500))**2 - 6*(2*sqrt(500) + sqrt(500))).\nAnswer: -60*sqrt(5) + 2009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42676303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/18 - -1 - 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/56*8 - 3. Calculate the remainder when 238 is divided by -3 - (-2 + h + -11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 10*l**2 - 5*l - 1. Let o be g(4). What is the highest common divisor of 25 and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + -2*(sqrt(104) - 2*sqrt(104)) + sqrt(104))\/(sqrt(16)\/sqrt(2)*4).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74.6 - 138.6. Let c = -106 - -1588\/15. Sort -0.1, f, c in increasing order.\nAnswer: f, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.02 + -4.02. Suppose 4*j + 3534 = 2*d, -14*j - 7092 = -6*j + 4*d. Let v = 1769\/2 + j. What is the nearest to v in 0.1, -5, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3199 - 576 - 3319*z**2 - 269*z**2 - 669*z**2 - 92*z**2 with respect to z.\nAnswer: -8698*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 4*c. Let v be 2 - (5 - 8 - 5). Suppose -v = -6*d + 14. Let p(w) = w**3 + w. Calculate d*p(x) - t(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 12. What is the derivative of 4 - h*c + 2*c + 3*c - 2 wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.32 - -167?\nAnswer: 205.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 57 + 40 - j - 96. Let o(q) = 2*q**2 + 6*q. Suppose 2*i + a - 2 = 0, -2*i + 2*a - 23 + 13 = 0. Determine i*o(d) - 2*s(d).\nAnswer: -2*d**2 - 4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 4098556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.299 - -4.4938. What is a rounded to 1 decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6 - 1.4. Is f <= 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**2 - 19 + 19 + (0*x - x + 2*x)*(4*x - 2*x - 3*x) + 4*x**2 - 4*x**2 - 2*x**2)*(19*x**2 + 4*x**3 - 19*x**2).\nAnswer: -32*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 292462805 to the nearest 1000000.\nAnswer: 292000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n - 3. Let q(h) = h**2 + 2*h + 2. Let r be q(-2). Suppose 0 = 5*y - r*y - 6. Give b(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 84 = 3*a - 0*a, -4363 - 1115 = -3*a - 304*q for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -102810? (a) 1\/3 (b) 2\/11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + 3 + (0 - 0). Let z be ((-18)\/p)\/((-6)\/16). Suppose a + 3*c = 5, -3*a = a - 5*c - 3. Solve a*m + z = -2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 6 - 12 + i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-4930)\/(-2958))\/(-3*(-4)\/84)\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 3:33 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -777*g**3 + 190*g**3 + 5493*g**3 - 146*g + 537*g wrt g.\nAnswer: 29436*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3680042?\nAnswer: 2, 29, 67, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -210, -406, -602?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.775331km to meters.\nAnswer: 4775.331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(78))\/(5*sqrt(6)*-1).\nAnswer: -2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = 12*p + 3*z, 5*p - 2*z + 10 = -22 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q**3 + 18*q - 19. Let l be d(1). Solve l = 5*n - 5*a, 5*n + 0*n - 2*a - 5 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 41*c - 276. Let q(o) = 4*o**2 - 5*o - 9. What is the remainder when q(6) is divided by m(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.31 - -1.31. Let z = 27 + -53\/2. Do b and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 9:30 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 415323.08 to the nearest 10000.\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 6*k**2 + 7*k + 5. Let t be m(-4). Let f be ((-6)\/t)\/((-2)\/6). Solve -l = -f, -a + l = 6*l - 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + (sqrt(114) + sqrt(114)*2)*-1)\/(sqrt(864) - sqrt(864)*3).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 4 + 0*o - 12*o**2 + 0*o**3 - 43 - 24*o**3 - 2*o. Factor f(p).\nAnswer: -2*(6*p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 6764856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 2076.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 580482 and 63.\nAnswer: 580482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-104)\/(-39) - (-1)\/3. Solve 0 = y + 1, -j*y + 21 = -5*i + y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00151586 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - (-5 + 2)) + 4. Suppose r*q + 2 = -1, 3*q - 102 = -5*c. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - (-76)\/(-12))\/((-1)\/3). Suppose -6*y - 452 = -w*y. Suppose 2*v = y + 123. What are the prime factors of v?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o + 12. Suppose -5*g = -o*b + 50, -4*b + 0*g + 64 = 2*g. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 5*z**2 + 10*z + 10. Let d be f(-7). Suppose 10*p - d = 9*p. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79776 = 954*u - 44*u + 480*u + 272*u for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4 + 8 = j, -5*f - 12 = -3*j. Suppose o - 20 = -f*o. What is the remainder when 38 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 o when four letters picked without replacement from {c: 7, o: 9}.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 9 (c) -0.84 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/57776 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1612.4868 - -1357.408. Let b = -255 - y. Let s = b - 0.073. What is s rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -69*k**5\/5 - 433*k**4\/12 - 2*k**2 - 13*k. Find the second derivative of v(s) wrt s.\nAnswer: -1656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -5*h - 2. What is the highest common factor of 12 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7))**(2\/99)\/(s\/((s*(s*(s*s\/(s\/(s\/(s*s\/s**(2\/5)))*s*s))\/s)\/s*s)\/s))**(-3\/4) assuming s is positive.\nAnswer: s**(3581\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0 + (-2 - 2 + 6)*(-3 + 4 + 1) + 4 + 4 - 5)*(-3*x + 4 - 4).\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6197.827 grams?\nAnswer: 6197827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 3\/25*k**5 + 4\/75*k**6 - 6*k + 1\/15*k**3 + 0 + 0*k**2 + 1\/105*k**7 + 2\/15*k**4. Factor a(i).\nAnswer: 2*i*(i + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11280.543 hours to days.\nAnswer: 470.022625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 101110001010111010000 (base 2) to base 7\nAnswer: 15600552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/18*-2*(-2)\/(-2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94 and 2021.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 0, 0, -4, -12, -24, -40, -60?\n\"Answer: -2*u**2 + 6*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/178 <= -26.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*1*(-5)\/(-2). Let u(p) = 5*p - 328 + 328 - p**2. Let y(m) be the first derivative of -m**2 + 1. Determine o*y(w) - 2*u(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/9 and -46\/17.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*a**2 - 320*a + 65.\nAnswer: -5*(a + 13)*(5*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 5*g**2 + 4*g + 4. Let n be l(-6). Let r = 16 - 12. What is the greatest common factor of r and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 + 3*v + 20. Suppose 16 = -10*q + 8*q. Let h be s(q). Suppose 4*k - h = -0*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 316997 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/739032 and 169\/126.\nAnswer: 2217096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -4\/1779 (c) -4\/7 (d) -128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 51\/(-57) - ((-6)\/38)\/(219\/(-146)). Let m(u) = 2*u**3 + 4*u. Let g(l) = -2 - 3 + 6. Give p*m(c) - g(c).\nAnswer: -2*c**3 - 4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + (76 - 37) - (-2 - (3 + -3 - -97))?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1389712344 to the nearest integer?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) - (sqrt(204)*-2 + sqrt(204) - sqrt(204))*-3)\/(sqrt(24)\/(1*sqrt(2))))**2 - (-6*(sqrt(153)*-5 - sqrt(153)))\/sqrt(9)*-6) + -1.\nAnswer: 424 + 216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 6:58 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7872 + 5628 = 10*n. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285910*h**2 + 5 - 5.\nAnswer: 285910*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 14 - (-184 + 171)) + 21 + 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxoxyxyoxoxxxoo. Give prob of picking 3 x and 1 o.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17747*i + 264 = 17725*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(1\/3)*n*n)**(5\/9)*(n**1\/n)**47*((n\/n**(-2\/7))\/n)**33*(n\/n**(-1\/13)*n*n)\/n*(n\/(n\/(((n**5*n)\/n)\/n)*n*n))\/n assuming n is positive.\nAnswer: n**(36641\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**4\/3 - 5*v**3\/3 + 4*v**2\/3 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4326, -4313, -4300?\nAnswer: -4287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1738*0.2.\nAnswer: 347.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d - 44 = 41. Which is bigger: -148\/41 or d?\nAnswer: -148\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0*a - a + 3*a)*(4 - 23 - 6).\nAnswer: -50*a - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*x = -62*x + 1892000. Is x a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 26 = -2*q, 0 = -0*q + 4*q + 5*y. Suppose -4*i - a + 667 = -0*i, q*i + a - 835 = 0. What is the greatest common factor of 48 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 0*n - n**2 + 0 - 1\/8*n**4 + 5\/6*n**3. Let r(u) = 3*u - 6. Let i(x) = -5*h(x) - 4*r(x). Calculate i(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(91)*-2)\/(sqrt(28) + -2*sqrt(28)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) 3\/11411 (c) -13 (d) -0.1 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 0*g**2 + 0*g**4 + 71\/42*g**7 + 0*g**6 - 219*g - 7\/2*g**3 + 0 + 0*g**5. What is the second derivative of c(o) wrt o?\nAnswer: 1420*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 182, -1, -306, -733, -1282, -1953, -2746?\n\"Answer: -61*p**2 + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 269016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123 - 121?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 2643 + 1368 = 91*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/6 and (-4)\/6 - (-895)\/150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.105 rounded to zero dps?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -4*w**2 + w - 529. Calculate z(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b + -428955?\nAnswer: -428971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63612431?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372 is divided by ((-276)\/(-24) + -13)\/((-2)\/20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 11:45 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 8, -5, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -66*y**2 + 13*y. Let o(h) = 129*h**2 - 22*h. Determine -6*o(n) - 11*p(n).\nAnswer: -48*n**2 - 11*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 0*o + 4*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.210222 litres?\nAnswer: 3210.222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64.2192 + -0.7302. Let w = a - 54.49. Let y = w + -9. Round y to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*d - 3*y = -151*d - 74, -15 = -d + y. What is the highest common divisor of d and 17493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g. Let x(w) be the third derivative of 11*w**7\/1260 - w**4\/4 - w**3\/6 + 5*w**2 - 2. Let b(t) be the second derivative of x(t). Calculate b(h(n)).\nAnswer: 1078*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 452\/55899 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l - 23*l - 3*g = 150, 5*g = 5*l - 160. Which is smaller: 7 or l?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 176?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 - 3*p**3 + p**4 + 1937386 + 5*p**3 - 69*p - 1937388 in the form x*p**2 + v + m*p + i*p**3 + g*p**4 and give m.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 10. Suppose 0*k - 4*v = -2*k + 10, -g*k = -v + 1. What is the nearest to k in -4, 1\/4, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13267150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -984*t - 1778*t - 1139 = 7036 + 19445 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from {f: 1, z: 8, s: 6, b: 3, d: 1}.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12675 and 2860.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 3*n + 105 - 0, 4*i - 120 = n. Let s = i + -29. Put -9, s, 3 in decreasing order.\nAnswer: 3, s, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2\/7, 1\/6, -0.2, 4, 0.2, -2\/33, -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111 - 100111100011000?\nAnswer: -100111101001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 131530 - 17361845\/132. Let i = 4\/33 - y. Let j be (-39)\/(-84) + 2\/7. What is the closest to i in 4, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 g, and 1 u when three letters picked without replacement from {u: 4, s: 5, g: 3}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 divided by 16?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 1912*o - 161920.\nAnswer: -4*(o - 368)*(o - 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -473273 - -473269.8999976. Let w = 3.3 + -0.2. Let i = t + w. Round i to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2261, 2079, 1897, 1715, 1533?\n\"Answer: -182*l + 2443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 7*b + 40. Let v(l) = -l**3 + 9*l**2 + 10*l + 9. Let r be v(b). Suppose -3*m = -0*m, -3*d = -4*m - r. Solve -7 = -u - d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**6\/150 + 2*m**5\/75 - m**4\/30 - 4*m**2. Find v, given that b(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*p - 123, 5*m + 5*p + 0*p - 150 = 0. What is the highest common divisor of 66 and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*r - 3*b + 605, 20 = -4*b. Let k be (7 - (-224)\/(-35))\/(2\/r). Find the common denominator of -27\/20 and (-31)\/k + (-662)\/84.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37025 and 400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18398872.\nAnswer: 2, 31, 74189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.059 * -6069.48\nAnswer: 358.09932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 + (-1 - (-1 - -38 - (-29 - -31)))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 4*b - 5. Let c be r(5). Let a be (-3)\/(-21) - ((-400)\/(-448) - 1). Find h such that 1\/4*h**3 + c + 0*h + 1\/2*h**2 - a*h**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 - 2*b**2 + b**2. Let f(p) be the second derivative of -p**4\/12 - 5*p + 36. Calculate q(f(d)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15772, 15949, 16126, 16303?\nAnswer: 16480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 divided by -4?\nAnswer: -79\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3208566133 + 0.4?\nAnswer: 3208566133.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 6453384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -8. Let g = -3 - l. Is 4 a factor of -4*(g - (0 + 2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jy when two letters picked without replacement from {y: 6, o: 11, j: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(110\/(-10)))\/1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 53*x - 105 - 449 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 325\/(-5) + (-7 - -2). Is l smaller than -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4908554215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 7:40 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((56 - 52) + 53\/(-14))*2*(-21 - -10).\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9310501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 690 and 187 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + m - 1353 = 0. Suppose 5*k - 249 - m = 0. Find the common denominator of 1*(-3 + 1) + k\/(-88) and -101\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -16, -3, -1\/4, 110, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178 - 1*(-8)\/4.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/84*4\/56*4.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*f + f. Suppose 2 = -o + f. Suppose o*s - 5*d = -d - 4, 12 = 2*s + d. Solve -s*r + 2*r = -3*w + 4, -18 = 4*r - w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-16))\/(((-637)\/(-156))\/49)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**4 - 3*a - 3*a**3 + 89*a**2 - 89*a**2 in the form y + w*a**3 + l*a**2 + s*a**4 + u*a and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 249854064 to the nearest integer?\nAnswer: 15807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 4*a - 6. Let z(t) = -2*t - 2. Let v be z(-5). What is the remainder when w(v) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v + 2*v - 3*v. Let n be i(1). Which is smaller: n or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 19 - j - 5 + 1. Let d be x(6). What is the greatest common divisor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 76*c + 200*c**2 - 155*c + 79*c - 30*c**2 in the form b + w*c**2 + n*c and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 1302?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -435 + 4?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -476, -3630, -12186, -28844, -56304, -97266, -154430?\nAnswer: -230496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3 + 7 = 0. Let l = -4 - -6. Suppose q = a*r + l*q + 14003, -r + 3*q - 2791 = 0. What is r rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6 - 7*q + 3*q + 3*q**2 + 5*q**2 - q**3 - 3*q**2. Let y be 1\/(-2) + (-3)\/2. Let g = y - -6. Determine h(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -5, -0.2, -16, -295, -0.8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1790 a factor of 173733820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4\/6 + 7*x**3\/6 + 13*x**2\/2 + 53*x\/6 + 11\/3 = 0.\nAnswer: -2, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -172*x + 117 + 55 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 178 + -165 + 17 + -4.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amy when three letters picked without replacement from mmaaymmazzmaaamzmyy.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 4 + 5*t**2 - 4 to f*t**2 + q*t + h and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*6*sqrt(52)*-6)**2.\nAnswer: 1078268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/((-5)\/10*(-33)\/33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 7) to base 8\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 + 10. Put -0.4, a, -0.02 in ascending order.\nAnswer: a, -0.4, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13 and 10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krdk when four letters picked without replacement from {k: 2, r: 1, d: 1, j: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 296 and 4?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, h: 2, k: 1, y: 1, v: 1}. Give prob of sequence hvxy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 960794 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/5)\/(78\/(-520)). Suppose 22*h = q*h + 12. Let b(n) = n**2 + 8 - 11*n**h + 9*n + 11*n**2. Calculate b(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(108)*1 + 4))**2.\nAnswer: 48*sqrt(3) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*w**3 + 10*w**2 + 24*w**6 - 3*w**2 + 5*w**3 wrt w.\nAnswer: 2880*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-13)\/j**(2\/19))**(2\/81))**(-32) assuming j is positive.\nAnswer: j**(5312\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143867.\nAnswer: 47, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -188, 4, -3, -156, 49 in descending order.\nAnswer: 49, 4, -3, -156, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 556889 and 16423.\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 0 + 0*a + 1\/20*a**5 + 0*a**4 - a**2 + 0*a**3. Let w(c) = -c**2. Determine w(v(f)).\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 3*z - 13453 = 17*l, 4 = -2*z. Suppose 20*w - 3*w = l. What are the prime factors of w?\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o**2 - o + 27. Let j(q) = 19*q**2 - 10*q + 120. Let k(s) = -4*s**2 + 3*s - 40. Let h(n) = -2*j(n) - 7*k(n). Give -5*h(i) + 7*p(i).\nAnswer: i**2 - 2*i - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -1 + 6 + d + 3*d. Let s = 5 + -17. Let y = s - -8. Determine b(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -64*h + 777. Let n be x(12). Let j = -7 + 5. Which is the closest to -1? (a) j (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from {u: 3, w: 2, g: 1, j: 1, d: 2, r: 6}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or -198?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21020083?\nAnswer: 7, 79, 38011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 4:02 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/842733 and 106\/315.\nAnswer: 29495655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5860 + -5859.89. Which is the second smallest value? (a) -15 (b) 4 (c) 1\/2 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-6))\/(8\/66*(-33)\/(-264))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 35*p**2 + 9 + 38*p**2 + 42*p**2 - 44*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -22\/1832393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)*o**1\/o)\/(o\/(o\/(o\/(o**(-1\/3)*o))))**48 assuming o is positive.\nAnswer: o**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2) + 19\/2. Let r(q) = q + 1. What are the prime factors of r(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y. Let c(n) = -238*n - 11. Let f(q) = c(q) - w(q). Is f(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*(-702)\/198 - 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -883 + 1387. What is the common denominator of 45\/16 and (-30)\/l*17\/2?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -1*(sqrt(19) + 1) + sqrt(19) + ((sqrt(133) - (sqrt(133) + (sqrt(133) - (1*sqrt(133) - sqrt(133)))))*-1)\/sqrt(7))*-2)**2.\nAnswer: -8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**2 - 4*o**2 + 36*o**2 - 29*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5746196051411 take away 0.4?\nAnswer: 5746196051410.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, c: 1, u: 1, j: 1, q: 1}. Give prob of sequence uuu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 3. Let z(a) be the second derivative of a**5\/20 + a**4\/6 + a**2\/2 + 13*a. What is z(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 188*b**2*l**2 + 16*b**2*l + 2*b**2 - 4*b - 176 wrt l.\nAnswer: 376*b**2*l + 16*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 25*q**3 - 2*q**2 - 8*q + 6. Let k be v(7). Suppose 3027 - k = 2*d. What is d rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 9*i**2 - 4*i - 12. Let x be b(8). Solve -3*f + 8 = -2*a - f, -4*f + x = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1438, -1439, -1440, -1441, -1442?\nAnswer: -1443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**3\/3 - k**2\/2 + 12*k + 45. Let d(o) = -o**2 + 5*o + 7. Let c be d(6). Give t(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7 + 2*g + 4*g**2 + 4*g - 5*g**2. Let q be ((-14)\/3)\/(4\/(-6)). Let h be l(q). Solve h = 4*t - 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, q: 4, g: 2, z: 2}. Give prob of sequence yqzq.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.32 and -29.\nAnswer: -9.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4181078087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 36976788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -357\/11, -7\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -16027 (base 10) to base 9\nAnswer: -23877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.496609891 plus -13607?\nAnswer: -13604.503390109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -976 - n**3 + 976.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 94333637 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1236\/(-721)*(-84)\/(-54).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 7*z - 16 = 0. Is (-4)\/z - (-1892)\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-146)\/(-12))\/(1 + 0) and 15\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1006 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7290 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4516 (base 7) to base 4.\nAnswer: 121132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 11*a - 16. Determine i(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 7*f**2 + 7*f - 10. Let b be y(8). Let s be (1 - (-21)\/(-20))\/(b\/2112). Is s greater than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*g - 3. Let o(m) = -2*m - 6. Let q(y) = -4*y - 13. Let l(p) = 5*o(p) - 2*q(p). Calculate l(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 101, -2\/5, 4, 0?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64832675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-273 - -133 - -46) + 86?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z - 2*z + z)*(3306 - 33586 - 7045 - 35709 + 26190 - 34002) in the form m*z + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**5 + 5*z**5 - z**5 + (-156*z**3 - 177*z**3 - 101*z**3)*(0*z**2 - 2*z**2 - 2*z**2).\nAnswer: 1737*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2014494753?\nAnswer: 3, 16741, 40111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 2a?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a meter in centimeters?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -2.656684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -b08?\nAnswer: -b05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75 - 527\/7. Let v = 7 + 2. Suppose -v*p = -5*p - 4. Are y and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 420, 570, 720?\nAnswer: 870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2755344.\nAnswer: 2, 3, 137, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12619\/22 - 6258\/11. Let l = 4 + -3. Calculate the common denominator of l\/(-2) + 18\/(-8) and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 90\/20*(-4)\/(-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12540?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 2*i - 3. Let b be f(2). Suppose -4*x - 20*n + 56 = -16*n, -2*x + 8 = -3*n. What is the fourth biggest value in x, b, 6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -53a1 - 2?\nAnswer: -53a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (3 + -9 - (3 - 2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 390 = 20*y. What is the greatest common divisor of y and 429?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 12:07 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*y - 168 = -6*w, -w + 2*y = -28. Suppose -w*h + 27*h + 55 = 0. What is the least common multiple of h and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 22. Let y = d + 6. Let b = 2 - y. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(5))*5 + (sqrt(45) - sqrt(5))*-6.\nAnswer: -7*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 5. Which is the closest to 2? (a) p (b) -4 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 7. Suppose -8*n + 3*n = t*x + 9, 5*x = 2*n - 15. Which is greater: n or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, l: 6, v: 4}. Give prob of picking 2 l and 1 x.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -1)*1*-4. Let s(c) be the first derivative of -7 - 5\/2*c**2 - 1\/3*c**3 - 5*c. What is s(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 11:43 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*l + 3*l - 30*l)*(2 + 2*l**3 - 2) in the form m*l + o + a*l**4 + s*l**3 + p*l**2 and give a.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/157 - -3292\/785. Calculate the common denominator of (819\/(-35) - -6) + 7 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 38 = 2*n - 4*o, 3*n - 5*o + 20 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*s**2)*(-3 + 0 + 0*s + s).\nAnswer: -2*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b46 (base 13) in base 6?\nAnswer: 153523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 281863850 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*n = -3, 3*g - n - 27 = -4*n. Solve 69*s - 66*s = g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12629441 or -12629442?\nAnswer: -12629442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b = 23*b - 5*j - 18, 0 = -11*b + 3*j + 51 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5490.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 344261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12022020201 (base 3) in base 9?\nAnswer: 168221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 4, -2655571 in decreasing order.\nAnswer: 4, -2, -4, -2655571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((5 - 11) + 12)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1444 + -1359. Calculate the greatest common divisor of 2125 and a.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 856012677.\nAnswer: 3, 13, 239, 91837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*z + 45*z - 21*z.\nAnswer: 48*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x - 1. Let c(g) = g**2 - 1. Let t be c(-2). Let f be k(t). Factor 2\/5 + 4\/5*p + 2\/5*p**f.\nAnswer: 2*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -1. Let t(q) = 2*q**3 - 83*q**2 + 41*q + 23. Let i be t(41). What is the highest common factor of j and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -21)\/3 - 4. Suppose t + 505 = o*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6120, -3388, 1156, 7506, 15656, 25600?\n\"Answer: -q**3 + 912*q**2 + 3*q - 7034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 19, -271 in increasing order.\nAnswer: -271, 5, 8, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31366 - -75033. Suppose -36*s = -23*s - l. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*y + u + 9, -3*u = 4*y - 16. Let a = -1 + y. Let i(f) = f**3 - 11*f**2 - 13*f + 14. Let w be i(12). Solve a = -l - 5 + w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 29*a**2 + 86*a - 203. Let x be w(26). Solve -246 = -x*z + 46*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5995 - 1010. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpklpxwwwpxwppx. What is prob of sequence xx?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 3855?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 198 + -1383\/7. What is the biggest value in x, 22\/5, -1\/3?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21145, 42292, 63439, 84586?\nAnswer: 105733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60647142 to the power of 1\/3, to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s - 5. Let t be x(-5). Let k = -3 + -3. Let j = t + k. Calculate the remainder when 25 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 1\/2*r**2 + 1 + 0*r. Let y(n) = 116*n - 10. Let k(p) = -23*p + 2. Let w(j) = 5*k(j) + y(j). Calculate z(w(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 62*q - 126*q + 63*q. Let x(v) = -145*v - 1. Determine x(k(s)).\nAnswer: 145*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19.1 + -19.09941. What is w rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 460 = -644. Calculate the highest common divisor of r and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**3 - m**2 - 2*m - 2. Let y be o(-2). Suppose -s + 45 + y = 0. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 n when four letters picked without replacement from mnjnnmnjjmnmnmmjm?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34449 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = 6*f - 49*f + 222 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -3) + 3 - 26.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, 3.68 in decreasing order.\nAnswer: 7, 3.68, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -1138*h**5 + 11376*h**4 - 30686*h**3 + 20376*h**2 + 72*h = 0?\nAnswer: -2\/569, 0, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, 6\/11, 405 in ascending order.\nAnswer: 6\/11, 1.1, 405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(r**3 - 9237 + 9237 - 314*r**2 - 2*r**3 + 2*r**3 + 2*r**3 - 3*r + 3*r + 2*r**3 + (-2*r**3 + 0*r**3 + 3*r**3)*(-2 + 2 - 1)).\nAnswer: 4*r**3 - 314*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/5 + 453539*s**2\/5 + 3428278624*s - 1142769620.\nAnswer: (s + 75590)**2*(3*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -3, 794, -0.153?\nAnswer: -0.153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35735.59 litres in millilitres?\nAnswer: 35735590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 9:41 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39.39 - 40. Let p = -18.89 + i. Let q = -19 - p. Put -0.5, q, -2\/7 in decreasing order.\nAnswer: q, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v - 5. Let d be 1 + 4 + 0\/1. Let m(r) = -4*r - 3. Let h(c) = d*a(c) - 7*m(c). What is the least common multiple of 16 and h(-9)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**15*t\/((t\/(t\/(t\/((t\/(t*t*t**(2\/29)))\/t*t))))\/t))**41 assuming t is positive.\nAnswer: t**(17753\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -76\/745 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 978 divided by 6.\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5053053)\/36 - 1\/3. Let m = -139639 - v. Let q = 725 - m. Find the common denominator of 61\/36 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 7, 62 in ascending order.\nAnswer: 7, 29, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 213*p - 6.\nAnswer: 213*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -110362 divided by 5\nAnswer: -110362\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 3*m + 3. Let q be u(-3). Suppose -3*t = -5*j - 62, 0 = 2*t - t - q*j - 26. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40587765311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 1:07 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -54 (b) -12 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = l + 3*w + 1, -4*w + 8 = -3*l. Suppose 16 = 4*r + l. Let h = 14 - 8. Solve -6 = -r*d + h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2749 + 8183 - 2631 + 4*j - 2634 as v*j + t and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -922 (base 13) to base 16\nAnswer: -60d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5\/5 + 10*p**4 + 110*p**3 - 138*p**2 - 1188*p\/5 = 0. Calculate p.\nAnswer: -9, -1, 0, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3.145226km?\nAnswer: 3145226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -94849, -758852, -2561151, -6070894, -11857229, -20489304?\n\"Answer: -94858*o**3 + 3*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 2c409?\nAnswer: 2c407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5806603803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + 0.4. Let n = -5 + l. Sort -3\/2, n, 1\/6 in decreasing order.\nAnswer: 1\/6, -3\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 597.0847 seconds to microseconds.\nAnswer: 597084700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 3*n + 1. Let l(b) be the third derivative of b**5\/30 + b**4\/6 + b**3\/6 - 4113*b**2. Give 2*l(a) - 3*s(a).\nAnswer: a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 10, 3*n = -2*d - 3*d + 435. Calculate the highest common divisor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67275 = 3085*g + 164768 + 149064 + 34178 for g.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715024713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9.55 and -139.811934312?\nAnswer: 130.261934312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 8 = y - 2*c, 2*y + 2*c - 4 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136 (base 12) to base 5.\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125516441 divided by 7783.\nAnswer: -16127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7339957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-1 - -5 - -2 - 6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - a + 2*a**4 + (1 - 3 + 1)*(-2*a**3 - a**4 + 2*a**3) - 4*a**4 + 0*a**4 + 5*a**4 + (-5 + 5*a**4 + 5)*(-1 + 5 - 1).\nAnswer: 19*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - z - 5, 2*z = 2*g + 5 + 5. Let w be 2*(-6)\/(-24)*8\/(-10). Let v = 3 - 2.8. Which is the closest to g? (a) w (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*k - 205, -2*k - 3*w = 2*w - 115. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 416 = -2*u, 4*w - 1058 = 4*u + 606. Suppose 7*f + 129 - w = 0. Let g = f - 36. Is g at least 42\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*i + 11, 3*s + i - 6 - 2 = 0. Suppose -m + 12 = s*m. Find the second derivative of 0*o - 2*o - 4*o + m*o - 4*o**3 wrt o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 93, 158, 239, 330, 425, 518?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0758 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*m - 19*m - 6 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(130)\/(2*sqrt(90)) + -4 + 0 + 5) + -5.\nAnswer: -10 - 5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 - 10*o - 58. What is n(-8)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3183*t - 6514*t + 3064*t - 2*t**2 as g + b*t + i*t**2 and give b.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1358 and 142008.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from qffqfffq?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -5. Suppose 10 + v = -5*u. List the prime factors of (-3 - u) + 6 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**4\/5 + 3*n**3\/5 + 3*n**2 + 17*n\/5 + 6\/5 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, p: 4, f: 1, s: 4}. What is prob of sequence fsu?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)*-5 - (sqrt(1617)*-1 - sqrt(1617)))\/(sqrt(108)\/sqrt(196) - sqrt(27)) + -5.\nAnswer: -5 + 7*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*-4*((-22)\/24 - (-1)\/6). Let i = -6 + 24. Which is smaller: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.27 times -0.1?\nAnswer: 4.627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + l**2 + 6*l**2. Let t(j) = -2*j**2. What is g(t(s))?\nAnswer: 24*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k + 5 = -140 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 1\/3*d**4 - 1\/120*d**6 + 7\/60*d**5 + 5\/3*d**3 - 3*d**2 + 0 + 0*d. Calculate the remainder when 18 is divided by g(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/600 or -1?\nAnswer: -7\/600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/5474280 and 137\/27440.\nAnswer: 10948560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.95133 rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from {c: 6, s: 2, j: 1, n: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10304044 - 2?\nAnswer: -10304101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -10*o**3 - 5*o**2 - 100*o - 851. Is 41 a factor of u(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.93, -2\/13, -3, 5.\nAnswer: -3, -2\/13, 0.93, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/7, 4, 2\/9, 7.8 in descending order.\nAnswer: 7.8, 4, 2\/9, -22\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 44447886 divided by -705522\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96966 and 2340.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 297733 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -9*p + p**3 + 2711*p**2 - 2705*p**2 - 1 - 4 + 0. Let i = -4 - 3. Determine s(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(3\/8)*d*d*d\/d**(-1)*d*d**0*d\/(d*d\/(d\/d**(1\/3))) assuming d is positive.\nAnswer: d**(145\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -159 + 175. Suppose i = -4*r - 3*i + 28, 4*i + 17 = 5*r. Suppose -4*w + r = -27. Calculate the greatest common divisor of v and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7461 (base 11) to base 3\nAnswer: 111112111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -3359 in increasing order.\nAnswer: -3359, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 124\/((-3)\/(-6) - (-18)\/(-30)). Let f = t - -9827\/8. What is the common denominator of f and -167\/60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 7. Let b(j) = j + 6*j - 5*j - 14 - 3*j. Let y(l) = 2*l + 27. Let f(c) = -11*b(c) - 6*y(c). Calculate 5*f(q) + 6*i(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77309 is divided by 583.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100111 + -11110101100?\nAnswer: -11010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 3797143077 and -13.528.\nAnswer: 3797143063.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 33, 140, 315, 558, 869?\n\"Answer: 34*t**2 + 5*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(234\/4))\/((-547)\/(154254\/(-188))).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3674.0004334 - 3674. What is o rounded to 5 decimal places?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2166\/5 + -435. Let u = 11\/5 + g. Which is the closest to u? (a) 0.1 (b) -3 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 116 + 4?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6 + 9 = 0. Suppose 2*m - u = 5. Solve 0 = c - m*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/(-55))\/((-1)\/5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 41 + 49 = 0. Let b be (1\/9)\/(z\/(-30)). Which is bigger: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34.9 - -35. Let n(u) = -5*u**2 + 4*u - 2. Let b be n(2). Let l = 96\/7 + b. Put l, 3, z in descending order.\nAnswer: 3, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, x: 4}. Give prob of sequence xdx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34164720?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 17 - (-14 + (4 - -14)) - -57?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2 + 2*i**2 - i - i**2. Determine g(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 6:54 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 103 - 59 = 0. Solve x*q + 48 = 23*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13666306 (base 7) to base 4\nAnswer: 10323321331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 7. Let h(u) be the third derivative of 0*u**3 + 0*u - u**v + 1\/10*u**5 + 1\/24*u**4 + 0. Give h(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -13. Let x(d) = b*d**2 + d**2 + 22*d**2. Let k(f) = 38*f + 40. Let u(i) = 15*i + 16. Let z(y) = 2*k(y) - 5*u(y). Calculate z(x(o)).\nAnswer: 39*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 272454 + 279?\nAnswer: 272711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 divided by 14?\nAnswer: 81\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.86+-328914\nAnswer: -328915.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 157075976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6197?\nAnswer: 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 11 - 4)*(b + 5 - 3 - 5).\nAnswer: 7*b - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 16263?\nAnswer: -16263.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 27, -1, -3\/4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7893411 is divided by 2364.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2. Suppose m = 6 - 1. Let o(b) = 5 - 2*b - m. Give g(o(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 - -108. Let j(y) = y**3 - 3*y**2 + 2*y + 3. Let t be j(4). Calculate the remainder when 31 is divided by l\/7 + t\/63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**5\/20 - j**4\/2 - 3*j**3\/2 - 93*j**2. Factor y(g).\nAnswer: -3*(g + 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27952?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-2) - 8\/36*45?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + (sqrt(70)*1)\/sqrt(5))\/((-1*sqrt(22) - sqrt(22))\/sqrt(11))*-1.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-160)\/12))\/(27621\/1188)*-2.\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205284415 is divided by 1599.\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 68?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 179.3 + 695.7. Let h = -875 + g. Is -2.5 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37234 divided by 2.\nAnswer: 18617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1094 + 1210. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 236 - 237. Which is the biggest value? (a) -0.5 (b) o (c) -88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*a**3 + 26\/3*a**2 + 110\/3*a + 50.\nAnswer: 2*(a + 3)*(a + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30170706?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11*(-8)\/132)\/(9*407\/(-1998)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 286894868 divided by -4\nAnswer: -71723717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 5 - 3)\/((-228)\/836 - (-259)\/1232).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7922 and 20038?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 11:11 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)\/y)\/y**(-22)*y*y\/(y\/(y\/(y**(-30)*y*y)))*y**(16\/5) assuming y is positive.\nAnswer: y**(241\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68940 and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5\/7 + 20*m**4 + 1388*m**3\/7 + 2704*m**2\/7 - 198*m - 2844\/7 = 0 for m.\nAnswer: -6, -3, -1, 1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7911.\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o = 12 + 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 90\/3 - (-6 + 4). Suppose -3*y - 236 = -2*o, -20*y = -7*o - 15*y + 837. Calculate the greatest common factor of m and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 12, 0.4, 4, 609 in ascending order.\nAnswer: -2, 0.4, 4, 12, 609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b + 3. Suppose 58 = -3*n + 67. Let r(l) = 6*l**2 - 1. Let a be r(-1). Let c(f) = f**2 - 5*f - 5. What is a*q(k) + n*c(k)?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000621246 to five decimal places.\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*x = -65*x + 8071 + 6393. Calculate the remainder when 7456 is divided by x.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7888\/204)\/(-29)*30.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1103*v - 84*v - 74*v - 203*v - 38*v - 1 to c + q*v and give q.\nAnswer: -1502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 7*w - 29 = -i, 4*w = 20. Suppose 4*a = -4*d - i, -3*d = -5*a - 3 + 13. Put -3, a, -27 in ascending order.\nAnswer: -27, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -140 or -138?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 87*w**2 - 105*w - 404. List the prime factors of h(-4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9*y**2 - 29*y - 25. Let u(w) = 3*w**2 + 2*w**2 + w**2 - 2*w**2 - 14*w - 12. Let k(q) = 6*s(q) - 13*u(q). What is the tens digit of k(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1108306, 2216613, 3324916, 4433215?\n\"Answer: -2*d**2 + 1108313*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 3*u**2 - u + 5. Suppose n + 436 = -4*t - 130, 4*n = 2*t - 2336. Let p = n - -592. Calculate the lowest common multiple of c(-4) and p.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 1182212.\nAnswer: 1182211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24, -12, 0, 12, 24?\n\"Answer: 12*u - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23196 divided by -5?\nAnswer: -23196\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10\/27 (b) 3\/7 (c) -1\/4 (d) -0.2 (e) -14\/101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.779763 - 1.46?\nAnswer: 112.319763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.3 + -9. Let h = -5 - 0. Sort h, 1, l in decreasing order.\nAnswer: 1, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (87\/7 - (-124)\/217)*1\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {p: 1, l: 1, y: 2, m: 4, u: 2, b: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 111107449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}